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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM017-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 12:17:49 PM UTC 2026

% Result   : Unsatisfiable 45.17s 6.90s
% Output   : Refutation 45.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  124 (  20 unt;   8 def)
%            Number of atoms       :  286 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  277 ( 115   ~; 154   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  160 (   0 sgn 160   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X1,X2)
      | ~ equalish(X0,X1)
      | equalish(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ divides(X2,X0)
      | divides(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_substitution1) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ divides(X0,X2)
      | divides(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_substitution2) ).

fof(f10,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X3,X5)
      | ~ product(X3,X4,X1)
      | ~ product(X0,X1,X2)
      | product(X5,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_associativity1) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X5,X3,X0)
      | ~ product(X3,X1,X4)
      | ~ product(X0,X1,X2)
      | product(X5,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_associativity2) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_commutativity) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X3,X2)
      | ~ product(X0,X1,X2)
      | equalish(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f15,axiom,
    ! [X2,X0,X1] :
      ( ~ divides(X0,X1)
      | ~ divides(X2,X0)
      | divides(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divides) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ~ divides(X0,X1)
      | product(X0,second_divided_by_1st(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_implies_product) ).

fof(f18,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | divides(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_divisible_by_operand) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ divides(X0,X1)
      | ~ product(X2,X2,X1)
      | ~ prime(X0)
      | divides(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',primes_lemma1) ).

fof(f20,axiom,
    prime(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_prime) ).

fof(f22,axiom,
    product(c,c,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_squared) ).

fof(f24,negated_conjecture,
    ! [X0] :
      ( ~ divides(X0,c)
      | ~ divides(X0,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_no_common_divisor) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ divides(X2,X1)
      | divides(X2,X0)
      | ~ equalish(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( ~ divides(X1,X2)
      | divides(X0,X2)
      | ~ equalish(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ divides(X2,X1)
      | divides(X2,X0)
      | divides(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( product(X0,second_divided_by_1st(X0,X1),X1)
      | divides(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ divides(X0,X2) ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ divides(X0,X2)
      | ~ product(X2,X2,X1)
      | prime(X0)
      | divides(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f32,plain,
    ~ prime(a),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f33,plain,
    ! [X0] :
      ( divides(X0,c)
      | divides(X0,b) ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f37,plain,
    ~ divides(c,e),
    inference(resolution,[],[f30,f22]) ).

fof(f38,plain,
    ! [X0,X1] : ~ divides(X0,multiply(X0,X1)),
    inference(resolution,[],[f30,f10]) ).

fof(f41,plain,
    ! [X0,X1] : product(X0,X1,multiply(X1,X0)),
    inference(resolution,[],[f13,f10]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( divides(X0,X1)
      | divides(X1,c)
      | divides(X0,b) ),
    inference(resolution,[],[f28,f33]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( product(second_divided_by_1st(X0,X1),X0,X1)
      | divides(X0,X1) ),
    inference(resolution,[],[f29,f13]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ product(c,X0,e)
      | equalish(X0,c) ),
    inference(resolution,[],[f14,f22]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,multiply(X0,X2))
      | equalish(X1,X2) ),
    inference(resolution,[],[f14,f10]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( divides(X1,c)
      | divides(X0,b)
      | divides(X0,X2)
      | divides(X2,X1) ),
    inference(resolution,[],[f46,f28]) ).

fof(f88,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(second_divided_by_1st(X0,X1),X2,X3)
      | ~ product(X0,X3,X4)
      | product(X1,X2,X4)
      | divides(X0,X1) ),
    inference(resolution,[],[f11,f29]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( ~ product(e,X0,X2)
      | ~ product(c,X0,X1)
      | product(c,X1,X2) ),
    inference(resolution,[],[f12,f22]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(second_divided_by_1st(X0,X1),X2,X3)
      | ~ product(X1,X2,X4)
      | product(X0,X3,X4)
      | divides(X0,X1) ),
    inference(resolution,[],[f12,f29]) ).

fof(f105,plain,
    ! [X0,X1] : ~ divides(X0,multiply(X1,X0)),
    inference(resolution,[],[f41,f30]) ).

fof(f111,plain,
    ( equalish(second_divided_by_1st(c,e),c)
    | divides(c,e) ),
    inference(resolution,[],[f54,f29]) ).

fof(f112,plain,
    equalish(second_divided_by_1st(c,e),c),
    inference(forward_subsumption_resolution,[],[f111,f37]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ divides(second_divided_by_1st(X0,X1),X1)
      | divides(X0,X1) ),
    inference(resolution,[],[f47,f30]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ~ product(c,second_divided_by_1st(e,X0),X1)
      | product(c,X1,X0)
      | divides(e,X0) ),
    inference(resolution,[],[f90,f29]) ).

fof(f198,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,multiply(X1,second_divided_by_1st(X0,X2)),X3)
      | product(X2,X1,X3)
      | divides(X0,X2) ),
    inference(resolution,[],[f88,f41]) ).

fof(f199,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(X3,second_divided_by_1st(second_divided_by_1st(X0,X3),X1),X2)
      | divides(X0,X3)
      | divides(second_divided_by_1st(X0,X3),X1) ),
    inference(resolution,[],[f88,f29]) ).

fof(f202,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(X3,multiply(second_divided_by_1st(X3,X0),X1),X2)
      | divides(X3,X0) ),
    inference(resolution,[],[f92,f10]) ).

fof(f203,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(X3,multiply(X1,second_divided_by_1st(X3,X0)),X2)
      | divides(X3,X0) ),
    inference(resolution,[],[f92,f41]) ).

fof(f244,plain,
    ! [X0] :
      ( ~ equalish(X0,second_divided_by_1st(c,e))
      | equalish(X0,c) ),
    inference(resolution,[],[f112,f3]) ).

fof(f305,definition,
    ( spl0_11
  <=> divides(b,b) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f306,plain,
    ( ~ divides(b,b)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f307,plain,
    ( divides(b,b)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f327,definition,
    ( spl0_16
  <=> divides(second_divided_by_1st(c,e),c) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f328,plain,
    ( ~ divides(second_divided_by_1st(c,e),c)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( divides(second_divided_by_1st(c,e),c)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f383,plain,
    ( ! [X0] :
        ( divides(b,X0)
        | ~ equalish(X0,b) )
    | ~ spl0_11 ),
    inference(resolution,[],[f307,f25]) ).

fof(f504,plain,
    ! [X2,X0,X1] :
      ( divides(multiply(X1,X0),X2)
      | divides(X0,b)
      | divides(X2,c) ),
    inference(resolution,[],[f105,f64]) ).

fof(f539,definition,
    ( spl0_27
  <=> divides(c,c) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ divides(c,c)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( divides(c,c)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f759,plain,
    ! [X0] :
      ( product(c,multiply(c,second_divided_by_1st(e,X0)),X0)
      | divides(e,X0) ),
    inference(resolution,[],[f170,f10]) ).

fof(f784,plain,
    ! [X2,X0,X1] :
      ( product(X0,X1,multiply(X2,multiply(X1,second_divided_by_1st(X2,X0))))
      | divides(X2,X0) ),
    inference(resolution,[],[f198,f10]) ).

fof(f786,plain,
    ! [X2,X0,X1] :
      ( product(X0,multiply(second_divided_by_1st(X0,X1),X2),multiply(X1,X2))
      | divides(X0,X1) ),
    inference(resolution,[],[f202,f10]) ).

fof(f800,plain,
    ! [X2,X0,X1] :
      ( product(X0,multiply(X1,second_divided_by_1st(X0,X2)),multiply(X2,X1))
      | divides(X0,X2) ),
    inference(resolution,[],[f203,f10]) ).

fof(f836,plain,
    ! [X0] :
      ( product(X0,second_divided_by_1st(second_divided_by_1st(c,X0),c),e)
      | divides(c,X0)
      | divides(second_divided_by_1st(c,X0),c) ),
    inference(resolution,[],[f199,f22]) ).

fof(f948,plain,
    ( ! [X0] :
        ( ~ equalish(X0,c)
        | divides(c,X0) )
    | ~ spl0_27 ),
    inference(resolution,[],[f541,f25]) ).

fof(f3026,plain,
    ( ! [X0] :
        ( divides(second_divided_by_1st(c,e),X0)
        | ~ equalish(X0,c) )
    | ~ spl0_16 ),
    inference(resolution,[],[f329,f25]) ).

fof(f3166,plain,
    ( divides(e,e)
    | equalish(multiply(c,second_divided_by_1st(e,e)),c) ),
    inference(resolution,[],[f759,f54]) ).

fof(f3207,definition,
    ( spl0_66
  <=> divides(e,e) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f3244,definition,
    ( spl0_74
  <=> equalish(multiply(c,second_divided_by_1st(e,e)),c) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f3246,plain,
    ( equalish(multiply(c,second_divided_by_1st(e,e)),c)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f3244]) ).

fof(f3247,plain,
    ( spl0_74
    | spl0_66 ),
    inference(avatar_split_clause,[],[f3166,f3207,f3244]) ).

fof(f5267,plain,
    ! [X0,X1] :
      ( equalish(X1,multiply(X1,second_divided_by_1st(X0,X0)))
      | divides(X0,X0) ),
    inference(resolution,[],[f784,f55]) ).

fof(f5442,plain,
    ! [X0,X1] :
      ( equalish(multiply(second_divided_by_1st(X0,X0),X1),X1)
      | divides(X0,X0) ),
    inference(resolution,[],[f786,f55]) ).

fof(f5582,plain,
    ! [X0,X1] :
      ( equalish(multiply(X1,second_divided_by_1st(X0,X0)),X1)
      | divides(X0,X0) ),
    inference(resolution,[],[f800,f55]) ).

fof(f7781,plain,
    ! [X0] :
      ( divides(second_divided_by_1st(c,X0),c)
      | divides(c,X0)
      | ~ divides(X0,e) ),
    inference(resolution,[],[f836,f30]) ).

fof(f9872,plain,
    ( ! [X0] : ~ equalish(multiply(X0,second_divided_by_1st(c,e)),c)
    | ~ spl0_16 ),
    inference(resolution,[],[f3026,f105]) ).

fof(f10493,plain,
    ( divides(c,multiply(c,second_divided_by_1st(e,e)))
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(resolution,[],[f3246,f948]) ).

fof(f10510,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(forward_subsumption_resolution,[],[f10493,f38]) ).

fof(f10511,plain,
    ( ~ spl0_27
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f10510]) ).

fof(f28396,plain,
    ! [X0] :
      ( divides(X0,X0)
      | equalish(multiply(second_divided_by_1st(X0,X0),second_divided_by_1st(c,e)),c) ),
    inference(resolution,[],[f5442,f244]) ).

fof(f28435,plain,
    ( ! [X0] : divides(X0,X0)
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f28396,f9872]) ).

fof(f28554,plain,
    ( ! [X0,X1] :
        ( ~ product(X0,X0,X1)
        | prime(X0)
        | divides(X0,X1) )
    | ~ spl0_16 ),
    inference(resolution,[],[f28435,f31]) ).

fof(f28563,plain,
    ( ! [X0,X1] :
        ( ~ product(X0,X0,X1)
        | prime(X0) )
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f28554,f30]) ).

fof(f42897,plain,
    ( ! [X0] : prime(X0)
    | ~ spl0_16 ),
    inference(resolution,[],[f28563,f10]) ).

fof(f43144,plain,
    ( $false
    | ~ spl0_16 ),
    inference(backward_subsumption_resolution,[],[f32,f42897]) ).

fof(f43145,plain,
    ~ spl0_16,
    inference(avatar_contradiction_clause,[],[f43144]) ).

fof(f44713,definition,
    ( spl0_593
  <=> ! [X0] : divides(X0,X0) ),
    introduced(definition,[new_symbols(definition,[spl0_593])],[avatar_definition]) ).

fof(f44714,plain,
    ( ! [X0] : divides(X0,X0)
    | ~ spl0_593 ),
    inference(avatar_component_clause,[],[f44713]) ).

fof(f45166,plain,
    ( divides(c,e)
    | ~ divides(e,e)
    | spl0_16 ),
    inference(resolution,[],[f328,f7781]) ).

fof(f45177,plain,
    ( ~ divides(e,e)
    | spl0_16 ),
    inference(forward_subsumption_resolution,[],[f45166,f37]) ).

fof(f45178,plain,
    ( ~ spl0_66
    | spl0_16 ),
    inference(avatar_split_clause,[],[f45177,f327,f3207]) ).

fof(f45259,plain,
    ( $false
    | spl0_27
    | ~ spl0_593 ),
    inference(backward_subsumption_resolution,[],[f540,f44714]) ).

fof(f45271,plain,
    ( spl0_27
    | ~ spl0_593 ),
    inference(avatar_contradiction_clause,[],[f45259]) ).

fof(f53191,definition,
    ( spl0_922
  <=> ! [X0,X1] :
        ( divides(X0,X1)
        | divides(X1,c) ) ),
    introduced(definition,[new_symbols(definition,[spl0_922])],[avatar_definition]) ).

fof(f53192,plain,
    ( ! [X0,X1] :
        ( divides(X0,X1)
        | divides(X1,c) )
    | ~ spl0_922 ),
    inference(avatar_component_clause,[],[f53191]) ).

fof(f54631,definition,
    ( spl0_977
  <=> ! [X1] :
        ( divides(second_divided_by_1st(X1,X1),b)
        | divides(X1,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_977])],[avatar_definition]) ).

fof(f54632,plain,
    ( ! [X1] :
        ( divides(second_divided_by_1st(X1,X1),b)
        | divides(X1,X1) )
    | ~ spl0_977 ),
    inference(avatar_component_clause,[],[f54631]) ).

fof(f54877,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equalish(X2,multiply(X3,X0))
      | divides(X1,c)
      | divides(X2,X1)
      | divides(X0,b) ),
    inference(resolution,[],[f504,f26]) ).

fof(f55613,plain,
    ( ! [X0] : ~ equalish(multiply(b,X0),b)
    | ~ spl0_11 ),
    inference(resolution,[],[f383,f38]) ).

fof(f55706,plain,
    ( ! [X0] : divides(X0,X0)
    | ~ spl0_11 ),
    inference(resolution,[],[f55613,f5582]) ).

fof(f55712,plain,
    ( spl0_593
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f55706,f305,f44713]) ).

fof(f76151,plain,
    ! [X2,X0,X1] :
      ( divides(X0,c)
      | divides(X1,X0)
      | divides(second_divided_by_1st(X2,X2),b)
      | divides(X2,X2) ),
    inference(resolution,[],[f54877,f5267]) ).

fof(f76266,plain,
    ( spl0_977
    | spl0_922 ),
    inference(avatar_split_clause,[],[f76151,f53191,f54631]) ).

fof(f141976,plain,
    ( divides(c,c)
    | spl0_16
    | ~ spl0_922 ),
    inference(resolution,[],[f53192,f328]) ).

fof(f142013,plain,
    ( $false
    | spl0_16
    | spl0_27
    | ~ spl0_922 ),
    inference(forward_subsumption_resolution,[],[f141976,f540]) ).

fof(f142014,plain,
    ( spl0_16
    | spl0_27
    | ~ spl0_922 ),
    inference(avatar_contradiction_clause,[],[f142013]) ).

fof(f149245,plain,
    ( divides(b,b)
    | divides(b,b)
    | ~ spl0_977 ),
    inference(resolution,[],[f54632,f125]) ).

fof(f149250,plain,
    ( divides(b,b)
    | ~ spl0_977 ),
    inference(duplicate_literal_removal,[],[f149245]) ).

fof(f149252,plain,
    ( $false
    | spl0_11
    | ~ spl0_977 ),
    inference(forward_subsumption_resolution,[],[f149250,f306]) ).

fof(f149253,plain,
    ( spl0_11
    | ~ spl0_977 ),
    inference(avatar_contradiction_clause,[],[f149252]) ).

cnf(s81,plain,
    ( spl0_66
    | spl0_74 ),
    inference(sat_conversion,[],[f3247]) ).

cnf(s236,plain,
    ( ~ spl0_27
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f10511]) ).

cnf(s435,plain,
    ~ spl0_16,
    inference(sat_conversion,[],[f43145]) ).

cnf(s1173,plain,
    ( spl0_16
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f45178]) ).

cnf(s1178,plain,
    ( spl0_27
    | ~ spl0_593 ),
    inference(sat_conversion,[],[f45271]) ).

cnf(s2024,plain,
    ( ~ spl0_11
    | spl0_593 ),
    inference(sat_conversion,[],[f55712]) ).

cnf(s3664,plain,
    ( spl0_922
    | spl0_977 ),
    inference(sat_conversion,[],[f76266]) ).

cnf(s9002,plain,
    ( spl0_16
    | spl0_27
    | ~ spl0_922 ),
    inference(sat_conversion,[],[f142014]) ).

cnf(s9899,plain,
    ( spl0_11
    | ~ spl0_977 ),
    inference(sat_conversion,[],[f149253]) ).

cnf(s9922,plain,
    ~ spl0_66,
    inference(rat,[],[s1173,s435]) ).

cnf(s9962,plain,
    spl0_74,
    inference(rat,[],[s81,s9922]) ).

cnf(s9963,plain,
    ~ spl0_27,
    inference(rat,[],[s236,s9962]) ).

cnf(s9967,plain,
    ~ spl0_922,
    inference(rat,[],[s9002,s435,s9963]) ).

cnf(s10013,plain,
    ~ spl0_593,
    inference(rat,[],[s1178,s9963]) ).

cnf(s10089,plain,
    spl0_977,
    inference(rat,[],[s3664,s9967]) ).

cnf(s10184,plain,
    ~ spl0_11,
    inference(rat,[],[s2024,s10013]) ).

cnf(s10227,plain,
    $false,
    inference(rat,[],[s9899,s10089,s10184]) ).

fof(f149256,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10227]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  % Computer : n009.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 18:39:30 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.42  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
% 16.70/2.98  % (2323783)Will run a generic schedule for satisfiability detection.
% 16.70/2.98  % (2323791)dis+10_1_sil=32000:sp=arity:random_seed=1784953646:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.70/2.98  % (2323789)% WARNING: option uhcvi not known.
% 16.70/2.98  % (2323790)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1214579175:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.70/2.98  % (2323788)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2840798490_2999 on theBenchmark for (2999ds/0Mi)
% 16.70/2.98  % (2323789)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2293032164:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.70/2.98  % (2323792)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2661940574:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.70/2.98  % TRYING [1]
% 16.70/2.98  % TRYING [2]
% 16.70/2.98  % TRYING [3]
% 16.70/2.98  % TRYING [4]
% 16.70/2.98  % (2323793)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1035181754:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.70/2.98  % (2323794)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3810677189:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.70/2.98  % TRYING [5]
% 16.70/2.98  % (2323791)Instruction limit reached! 
% 16.70/2.98  % (2323791)------------------------------
% 16.70/2.98  % (2323791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.98  % (2323791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.98  % (2323791)CaDiCaL version: 2.1.3
% 16.70/2.98  % (2323791)Termination reason: Instruction limit
% 16.70/2.98  % (2323791)Termination phase: Saturation
% 16.70/2.98  % (2323791)Time elapsed: 0.036 s
% 16.70/2.98  % (2323791)Peak memory usage: 12 MB
% 16.70/2.98  % (2323791)Instructions burned: 103 (million)
% 16.70/2.98  % (2323802)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2081875721:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.70/2.98  % TRYING [1]
% 16.70/2.98  % TRYING [2]
% 16.70/2.98  % TRYING [3]
% 16.70/2.98  % TRYING [4]
% 16.70/2.98  % TRYING [5]
% 16.70/2.98  % (2323792)Instruction limit reached! 
% 16.70/2.98  % (2323792)------------------------------
% 16.70/2.98  % (2323792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.98  % (2323792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.98  % (2323792)CaDiCaL version: 2.1.3
% 16.70/2.98  % (2323792)Termination reason: Instruction limit
% 16.70/2.98  % (2323792)Termination phase: Saturation
% 16.70/2.98  % (2323792)Time elapsed: 0.067 s
% 16.70/2.98  % (2323792)Peak memory usage: 11 MB
% 16.70/2.98  % (2323792)Instructions burned: 117 (million)
% 16.70/2.98  % (2323814)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3174928534:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.70/2.98  % (2323793)Instruction limit reached! 
% 16.70/2.98  % (2323793)------------------------------
% 16.70/2.98  % (2323793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.98  % (2323793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.98  % (2323793)CaDiCaL version: 2.1.3
% 16.70/2.98  % (2323793)Termination reason: Instruction limit
% 16.70/2.98  % (2323793)Termination phase: Saturation
% 16.70/2.98  % (2323793)Time elapsed: 0.085 s
% 16.70/2.98  % (2323793)Peak memory usage: 13 MB
% 16.70/2.98  % (2323793)Instructions burned: 132 (million)
% 16.70/2.98  % (2323824)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=3291282603:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.70/2.98  % (2323794)Instruction limit reached! 
% 16.70/2.98  % (2323794)------------------------------
% 16.70/2.98  % (2323794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.98  % (2323794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.98  % (2323794)CaDiCaL version: 2.1.3
% 16.70/2.98  % (2323794)Termination reason: Instruction limit
% 16.70/2.98  % (2323794)Termination phase: Saturation
% 16.70/2.98  % (2323794)Time elapsed: 0.107 s
% 16.70/2.98  % (2323794)Peak memory usage: 12 MB
% 16.70/2.98  % (2323794)Instructions burned: 160 (million)
% 16.70/2.98  % (2323833)ott-21_1_sil=16000:fs=off:random_seed=4218517700:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.70/2.98  % TRYING [6]
% 16.70/2.98  % (2323814)Instruction limit reached! 
% 16.70/2.98  % (2323814)------------------------------
% 16.70/2.98  % (2323814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323814)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323814)Termination reason: Instruction limit
% 45.17/6.90  % (2323814)Termination phase: Saturation
% 45.17/6.90  % (2323814)Time elapsed: 0.086 s
% 45.17/6.90  % (2323814)Peak memory usage: 12 MB
% 45.17/6.90  % (2323814)Instructions burned: 132 (million)
% 45.17/6.90  % TRYING [6]
% 45.17/6.90  % (2323859)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3195780179:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.17/6.90  % (2323833)Instruction limit reached! 
% 45.17/6.90  % (2323833)------------------------------
% 45.17/6.90  % (2323833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323833)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323833)Termination reason: Instruction limit
% 45.17/6.90  % (2323833)Termination phase: Saturation
% 45.17/6.90  % (2323833)Time elapsed: 0.103 s
% 45.17/6.90  % (2323833)Peak memory usage: 12 MB
% 45.17/6.90  % (2323833)Instructions burned: 181 (million)
% 45.17/6.90  % (2323881)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3749045980:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.17/6.90  % TRYING [1]
% 45.17/6.90  % TRYING [2]
% 45.17/6.90  % TRYING [3]
% 45.17/6.90  % TRYING [4]
% 45.17/6.90  % TRYING [5]
% 45.17/6.90  % (2323802)Instruction limit reached! 
% 45.17/6.90  % (2323802)------------------------------
% 45.17/6.90  % (2323802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323802)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323802)Termination reason: Instruction limit
% 45.17/6.90  % (2323802)Termination phase: Finite model building SAT solving
% 45.17/6.90  % (2323802)Time elapsed: 0.243 s
% 45.17/6.90  % (2323802)Peak memory usage: 20 MB
% 45.17/6.90  % (2323802)Instructions burned: 714 (million)
% 45.17/6.90  % (2323896)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=277389265:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 45.17/6.90  % TRYING [6]
% 45.17/6.90  % TRYING [7]
% 45.17/6.90  % (2323824)Instruction limit reached! 
% 45.17/6.90  % (2323824)------------------------------
% 45.17/6.90  % (2323824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323824)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323824)Termination reason: Instruction limit
% 45.17/6.90  % (2323824)Termination phase: Saturation
% 45.17/6.90  % (2323824)Time elapsed: 0.405 s
% 45.17/6.90  % (2323824)Peak memory usage: 17 MB
% 45.17/6.90  % (2323824)Instructions burned: 685 (million)
% 45.17/6.90  % (2323859)Instruction limit reached! 
% 45.17/6.90  % (2323859)------------------------------
% 45.17/6.90  % (2323859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323859)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323859)Termination reason: Instruction limit
% 45.17/6.90  % (2323859)Termination phase: Saturation
% 45.17/6.90  % (2323859)Time elapsed: 0.330 s
% 45.17/6.90  % (2323859)Peak memory usage: 15 MB
% 45.17/6.90  % (2323859)Instructions burned: 478 (million)
% 45.17/6.90  % (2323917)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2191652977:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 45.17/6.90  % (2323918)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=4068182437:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 45.17/6.90  % (2323881)Instruction limit reached! 
% 45.17/6.90  % (2323881)------------------------------
% 45.17/6.90  % (2323881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323881)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323881)Termination reason: Instruction limit
% 45.17/6.90  % (2323881)Termination phase: Finite model building SAT solving
% 45.17/6.90  % (2323881)Time elapsed: 0.325 s
% 45.17/6.90  % (2323881)Peak memory usage: 20 MB
% 45.17/6.90  % (2323881)Instructions burned: 866 (million)
% 45.17/6.90  % TRYING [14]
% 45.17/6.90  % (2323921)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=65592453:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 45.17/6.90  % TRYING [7]
% 45.17/6.90  % (2323896)Instruction limit reached! 
% 45.17/6.90  % (2323896)------------------------------
% 45.17/6.90  % (2323896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323896)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323896)Termination reason: Instruction limit
% 45.17/6.90  % (2323896)Termination phase: Saturation
% 45.17/6.90  % (2323896)Time elapsed: 0.423 s
% 45.17/6.90  % (2323896)Peak memory usage: 19 MB
% 45.17/6.90  % (2323896)Instructions burned: 1181 (million)
% 45.17/6.90  % (2323946)fmb+10_1_sil=64000:random_seed=2492950902:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 45.17/6.90  % TRYING [1]
% 45.17/6.90  % TRYING [2]
% 45.17/6.90  % TRYING [3]
% 45.17/6.90  % TRYING [4]
% 45.17/6.90  % TRYING [5]
% 45.17/6.90  % TRYING [6]
% 45.17/6.90  % TRYING [7]
% 45.17/6.90  % (2323917)Instruction limit reached! 
% 45.17/6.90  % (2323917)------------------------------
% 45.17/6.90  % (2323917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323917)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323917)Termination reason: Instruction limit
% 45.17/6.90  % (2323917)Termination phase: Finite model building constraint generation
% 45.17/6.90  % (2323917)Time elapsed: 0.330 s
% 45.17/6.90  % (2323917)Peak memory usage: 68 MB
% 45.17/6.90  % (2323917)Instructions burned: 890 (million)
% 45.17/6.90  % (2323974)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3260823559:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 45.17/6.90  % TRYING [20]
% 45.17/6.90  % TRYING [8]
% 45.17/6.90  % (2323918)Instruction limit reached! 
% 45.17/6.90  % (2323918)------------------------------
% 45.17/6.90  % (2323918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323918)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323918)Termination reason: Instruction limit
% 45.17/6.90  % (2323918)Termination phase: Saturation
% 45.17/6.90  % (2323918)Time elapsed: 0.476 s
% 45.17/6.90  % (2323918)Peak memory usage: 18 MB
% 45.17/6.90  % (2323918)Instructions burned: 693 (million)
% 45.17/6.90  % (2324032)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2724326155:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 45.17/6.90  % TRYING [8]
% 45.17/6.90  % (2323921)Instruction limit reached! 
% 45.17/6.90  % (2323921)------------------------------
% 45.17/6.90  % (2323921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323921)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323921)Termination reason: Instruction limit
% 45.17/6.90  % (2323921)Termination phase: Saturation
% 45.17/6.90  % (2323921)Time elapsed: 0.512 s
% 45.17/6.90  % (2323921)Peak memory usage: 15 MB
% 45.17/6.90  % (2323921)Instructions burned: 881 (million)
% 45.17/6.90  % (2324059)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2321422198:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 45.17/6.90  % TRYING [9]
% 45.17/6.90  % (2324032)Instruction limit reached! 
% 45.17/6.90  % (2324032)------------------------------
% 45.17/6.90  % (2324032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2324032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2324032)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2324032)Termination reason: Instruction limit
% 45.17/6.90  % (2324032)Termination phase: Finite model building SAT solving
% 45.17/6.90  % (2324032)Time elapsed: 0.583 s
% 45.17/6.90  % (2324032)Peak memory usage: 39 MB
% 45.17/6.90  % (2324032)Instructions burned: 920 (million)
% 45.17/6.90  % (2324109)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3989641607:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 45.17/6.90  % (2324109)Instruction limit reached! 
% 45.17/6.90  % (2324109)------------------------------
% 45.17/6.90  % (2324109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2324109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2324109)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2324109)Termination reason: Instruction limit
% 45.17/6.90  % (2324109)Termination phase: Saturation
% 45.17/6.90  % (2324109)Time elapsed: 0.839 s
% 45.17/6.90  % (2324109)Peak memory usage: 26 MB
% 45.17/6.90  % (2324109)Instructions burned: 1473 (million)
% 45.17/6.90  % (2324111)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=268979636:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 45.17/6.90  % TRYING [77]
% 45.17/6.90  % TRYING [8]
% 45.17/6.90  % TRYING [10]
% 45.17/6.90  % (2324059)Instruction limit reached! 
% 45.17/6.90  % (2324059)------------------------------
% 45.17/6.90  % (2324059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2324059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2324059)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2324059)Termination reason: Instruction limit
% 45.17/6.90  % (2324059)Termination phase: Saturation
% 45.17/6.90  % (2324059)Time elapsed: 2.628 s
% 45.17/6.90  % (2324059)Peak memory usage: 20 MB
% 45.17/6.90  % (2324059)Instructions burned: 5133 (million)
% 45.17/6.90  % (2324113)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3995701276:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 45.17/6.90  % TRYING [16]
% 45.17/6.90  % (2323974)Instruction limit reached! 
% 45.17/6.90  % (2323974)------------------------------
% 45.17/6.90  % (2323974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2323974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2323974)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2323974)Termination reason: Instruction limit
% 45.17/6.90  % (2323974)Termination phase: Finite model building constraint generation
% 45.17/6.90  % (2323974)Time elapsed: 3.211 s
% 45.17/6.90  % (2323974)Peak memory usage: 553 MB
% 45.17/6.90  % (2323974)Instructions burned: 9515 (million)
% 45.17/6.90  % (2324115)ott-2_1_sil=16000:newcnf=on:random_seed=880383720:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 45.17/6.90  % (2324113)Instruction limit reached! 
% 45.17/6.90  % (2324113)------------------------------
% 45.17/6.90  % (2324113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2324113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2324113)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2324113)Termination reason: Instruction limit
% 45.17/6.90  % (2324113)Termination phase: Finite model building constraint generation
% 45.17/6.90  % (2324113)Time elapsed: 0.728 s
% 45.17/6.90  % (2324113)Peak memory usage: 130 MB
% 45.17/6.90  % (2324113)Instructions burned: 2174 (million)
% 45.17/6.90  % (2324117)ott+10_1_sil=32000:tgt=ground:random_seed=1859220229:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 45.17/6.90  % (2324111)Instruction limit reached! 
% 45.17/6.90  % (2324111)------------------------------
% 45.17/6.90  % (2324111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2324111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2324111)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2324111)Termination reason: Instruction limit
% 45.17/6.90  % (2324111)Termination phase: Finite model building constraint generation
% 45.17/6.90  % (2324111)Time elapsed: 2.163 s
% 45.17/6.90  % (2324111)Peak memory usage: 395 MB
% 45.17/6.90  % (2324111)Instructions burned: 6327 (million)
% 45.17/6.90  % (2324115)Instruction limit reached! 
% 45.17/6.90  % (2324115)------------------------------
% 45.17/6.90  % (2324115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.17/6.90  % (2324115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.17/6.90  % (2324115)CaDiCaL version: 2.1.3
% 45.17/6.90  % (2324115)Termination reason: Instruction limit
% 45.17/6.90  % (2324115)Termination phase: Saturation
% 45.17/6.90  % (2324115)Time elapsed: 0.512 s
% 45.17/6.90  % (2324115)Peak memory usage: 15 MB
% 45.17/6.90  % (2324115)Instructions burned: 870 (million)
% 45.17/6.90  % (2324119)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=439450081:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 45.17/6.90  % TRYING [1]
% 45.17/6.90  % TRYING [2]
% 45.17/6.90  % TRYING [3]
% 45.17/6.90  % TRYING [4]
% 45.17/6.90  % (2324120)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3242519868:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 45.17/6.90  % TRYING [5]
% 45.17/6.90  % TRYING [6]
% 45.17/6.90  % TRYING [7]
% 45.17/6.90  % (2323789) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2323783-2323789"...
% 45.17/6.90  % (2323789)...printing done.
% 45.17/6.90  % (2323789)Refutation found. Thanks to Tanya!
% 45.17/6.90  % SZS status Unsatisfiable for theBenchmark
% 45.17/6.90  % SZS output start Proof for theBenchmark
% See solution above
% 45.90/6.90  % (2323789)------------------------------
% 45.90/6.90  % (2323789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.90/6.90  % (2323789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.90/6.90  % (2323789)CaDiCaL version: 2.1.3
% 45.90/6.90  % (2323789)Termination reason: Refutation
% 45.90/6.90  % (2323789)Time elapsed: 6.417 s
% 45.90/6.90  % (2323789)Peak memory usage: 57 MB
% 45.90/6.90  % (2323789)Instructions burned: 11783 (million)
% 45.90/6.90  % (2323783)Success in time 6.47 s
% 45.90/6.90  % Vampire exiting
%------------------------------------------------------------------------------