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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP244-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 10:13:25 AM UTC 2026

% Result   : Unsatisfiable 2.02s 1.30s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  216 (  20 unt;  22 def)
%            Number of atoms       :  561 ( 218 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  636 ( 291   ~; 323   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  23 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f2,axiom,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f3,plain,
    ! [X0] : identity = multiply(inverse(X0),X0),
    inference(reorient_equations,[],[f2]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f5,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c4,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,plain,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | sk_c10 = multiply(sk_c4,sk_c11) ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c4) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f8,plain,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | sk_c11 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f7]) ).

fof(f16,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c7,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f17,plain,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    inference(reorient_equations,[],[f16]) ).

fof(f18,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f19,plain,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | sk_c8 = inverse(sk_c7) ),
    inference(reorient_equations,[],[f18]) ).

fof(f20,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c8,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f21,plain,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | sk_c10 = multiply(sk_c8,sk_c9) ),
    inference(reorient_equations,[],[f20]) ).

fof(f22,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c4,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f23,plain,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c4,sk_c11) ),
    inference(reorient_equations,[],[f22]) ).

fof(f24,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c4) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f25,plain,
    ( sk_c11 = inverse(sk_c1)
    | sk_c11 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f24]) ).

fof(f34,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c7,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f35,plain,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    inference(reorient_equations,[],[f34]) ).

fof(f36,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f37,plain,
    ( sk_c11 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c7) ),
    inference(reorient_equations,[],[f36]) ).

fof(f38,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c8,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f39,plain,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c8,sk_c9) ),
    inference(reorient_equations,[],[f38]) ).

fof(f44,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c5,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f45,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | multiply(sk_c5,sk_c10) = sk_c9 ),
    inference(reorient_equations,[],[f44]) ).

fof(f46,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | inverse(sk_c5) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f47,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | sk_c10 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f46]) ).

fof(f62,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c5,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f63,plain,
    ( sk_c10 = inverse(sk_c2)
    | multiply(sk_c5,sk_c10) = sk_c9 ),
    inference(reorient_equations,[],[f62]) ).

fof(f64,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c5) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f65,plain,
    ( sk_c10 = inverse(sk_c2)
    | sk_c10 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f64]) ).

fof(f84,negated_conjecture,
    ( inverse(sk_c3) = sk_c11
    | inverse(sk_c6) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f85,plain,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = inverse(sk_c6) ),
    inference(reorient_equations,[],[f84]) ).

fof(f86,negated_conjecture,
    ( inverse(sk_c3) = sk_c11
    | multiply(sk_c6,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f87,plain,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    inference(reorient_equations,[],[f86]) ).

fof(f102,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c11
    | inverse(sk_c6) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

fof(f103,plain,
    ( sk_c11 = multiply(sk_c3,sk_c10)
    | sk_c11 = inverse(sk_c6) ),
    inference(reorient_equations,[],[f102]) ).

fof(f104,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c11
    | multiply(sk_c6,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

fof(f105,plain,
    ( sk_c11 = multiply(sk_c3,sk_c10)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    inference(reorient_equations,[],[f104]) ).

fof(f112,negated_conjecture,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( multiply(X0,sk_c11) != sk_c10
      | inverse(X0) != sk_c11
      | multiply(X1,sk_c10) != sk_c9
      | inverse(X1) != sk_c10
      | inverse(X2) != sk_c11
      | multiply(X2,sk_c10) != sk_c11
      | multiply(X3,sk_c11) != sk_c10
      | inverse(X3) != sk_c11
      | multiply(X4,sk_c10) != sk_c9
      | inverse(X4) != sk_c10
      | inverse(X5) != sk_c11
      | multiply(X5,sk_c10) != sk_c11
      | multiply(X6,X7) != sk_c10
      | inverse(X6) != X7
      | multiply(X7,sk_c9) != sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).

fof(f113,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( sk_c10 != multiply(X0,sk_c11)
      | inverse(X0) != sk_c11
      | sk_c9 != multiply(X1,sk_c10)
      | sk_c10 != inverse(X1)
      | sk_c11 != inverse(X2)
      | sk_c11 != multiply(X2,sk_c10)
      | sk_c10 != multiply(X3,sk_c11)
      | sk_c11 != inverse(X3)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c10 != inverse(X4)
      | sk_c11 != inverse(X5)
      | sk_c11 != multiply(X5,sk_c10)
      | sk_c10 != multiply(X6,X7)
      | inverse(X6) != X7
      | sk_c10 != multiply(X7,sk_c9) ),
    inference(reorient_equations,[],[f112]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( sk_c10 != multiply(X0,sk_c11)
      | inverse(X0) != sk_c11
      | sk_c9 != multiply(X1,sk_c10)
      | sk_c10 != inverse(X1)
      | sk_c11 != inverse(X2)
      | sk_c11 != multiply(X2,sk_c10)
      | sk_c10 != multiply(X3,sk_c11)
      | sk_c11 != inverse(X3)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c10 != inverse(X4)
      | sk_c11 != inverse(X5)
      | sk_c11 != multiply(X5,sk_c10)
      | sk_c10 != multiply(X6,inverse(X6))
      | sk_c10 != multiply(inverse(X6),sk_c9) ),
    inference(equality_resolution,[],[f113]) ).

fof(f116,definition,
    ( spl0_1
  <=> ! [X6] :
        ( sk_c10 != multiply(X6,inverse(X6))
        | sk_c10 != multiply(inverse(X6),sk_c9) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f117,plain,
    ( ! [X6] :
        ( sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6)) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f119,definition,
    ( spl0_2
  <=> ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c11 != multiply(X5,sk_c10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f120,plain,
    ( ! [X5] :
        ( sk_c11 != multiply(X5,sk_c10)
        | sk_c11 != inverse(X5) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f122,definition,
    ( spl0_3
  <=> ! [X4] :
        ( sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != inverse(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f123,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != inverse(X4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f125,definition,
    ( spl0_4
  <=> ! [X3] :
        ( sk_c10 != multiply(X3,sk_c11)
        | sk_c11 != inverse(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f126,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(X3,sk_c11)
        | sk_c11 != inverse(X3) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f127,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f114,f125,f122,f119,f125,f122,f119,f116]) ).

fof(f129,definition,
    ( spl0_5
  <=> sk_c10 = multiply(sk_c8,sk_c9) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f133,definition,
    ( spl0_6
  <=> sk_c11 = multiply(sk_c3,sk_c10) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f135,plain,
    ( sk_c11 = multiply(sk_c3,sk_c10)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f138,definition,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f140,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f143,definition,
    ( spl0_8
  <=> sk_c10 = multiply(sk_c7,sk_c8) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f145,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f148,definition,
    ( spl0_9
  <=> sk_c11 = multiply(sk_c6,sk_c10) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f150,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f151,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f105,f133,f148]) ).

fof(f153,definition,
    ( spl0_10
  <=> sk_c11 = inverse(sk_c6) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f155,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f156,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f103,f133,f153]) ).

fof(f158,definition,
    ( spl0_11
  <=> sk_c10 = inverse(sk_c5) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f160,plain,
    ( sk_c10 = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f163,definition,
    ( spl0_12
  <=> multiply(sk_c5,sk_c10) = sk_c9 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f165,plain,
    ( multiply(sk_c5,sk_c10) = sk_c9
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f168,definition,
    ( spl0_13
  <=> sk_c11 = inverse(sk_c4) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f170,plain,
    ( sk_c11 = inverse(sk_c4)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f173,definition,
    ( spl0_14
  <=> sk_c10 = multiply(sk_c4,sk_c11) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f175,plain,
    ( sk_c10 = multiply(sk_c4,sk_c11)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f178,definition,
    ( spl0_15
  <=> sk_c11 = inverse(sk_c3) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f180,plain,
    ( sk_c11 = inverse(sk_c3)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f184,plain,
    ( spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f87,f178,f148]) ).

fof(f185,plain,
    ( spl0_10
    | spl0_15 ),
    inference(avatar_split_clause,[],[f85,f178,f153]) ).

fof(f191,definition,
    ( spl0_16
  <=> sk_c10 = inverse(sk_c2) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f193,plain,
    ( sk_c10 = inverse(sk_c2)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f199,plain,
    ( spl0_11
    | spl0_16 ),
    inference(avatar_split_clause,[],[f65,f191,f158]) ).

fof(f200,plain,
    ( spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f63,f191,f163]) ).

fof(f204,definition,
    ( spl0_17
  <=> sk_c9 = multiply(sk_c2,sk_c10) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f206,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f212,plain,
    ( spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f47,f204,f158]) ).

fof(f213,plain,
    ( spl0_12
    | spl0_17 ),
    inference(avatar_split_clause,[],[f45,f204,f163]) ).

fof(f217,definition,
    ( spl0_18
  <=> sk_c11 = inverse(sk_c1) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f219,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f220,plain,
    ( spl0_5
    | spl0_18 ),
    inference(avatar_split_clause,[],[f39,f217,f129]) ).

fof(f221,plain,
    ( spl0_7
    | spl0_18 ),
    inference(avatar_split_clause,[],[f37,f217,f138]) ).

fof(f222,plain,
    ( spl0_8
    | spl0_18 ),
    inference(avatar_split_clause,[],[f35,f217,f143]) ).

fof(f227,plain,
    ( spl0_13
    | spl0_18 ),
    inference(avatar_split_clause,[],[f25,f217,f168]) ).

fof(f228,plain,
    ( spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f23,f217,f173]) ).

fof(f230,definition,
    ( spl0_19
  <=> multiply(sk_c1,sk_c11) = sk_c10 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f232,plain,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,plain,
    ( spl0_5
    | spl0_19 ),
    inference(avatar_split_clause,[],[f21,f230,f129]) ).

fof(f234,plain,
    ( spl0_7
    | spl0_19 ),
    inference(avatar_split_clause,[],[f19,f230,f138]) ).

fof(f235,plain,
    ( spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f17,f230,f143]) ).

fof(f240,plain,
    ( spl0_13
    | spl0_19 ),
    inference(avatar_split_clause,[],[f8,f230,f168]) ).

fof(f241,plain,
    ( spl0_14
    | spl0_19 ),
    inference(avatar_split_clause,[],[f6,f230,f173]) ).

fof(f243,plain,
    ( sk_c11 != sk_c11
    | sk_c11 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f120,f150]) ).

fof(f244,plain,
    ( sk_c11 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f243]) ).

fof(f245,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f244,f155]) ).

fof(f246,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f245]) ).

fof(f257,plain,
    ( sk_c11 != sk_c11
    | sk_c11 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f120,f135]) ).

fof(f258,plain,
    ( sk_c11 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f257]) ).

fof(f259,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f258,f180]) ).

fof(f260,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f259]) ).

fof(f261,plain,
    ( sk_c10 != sk_c10
    | sk_c11 != inverse(sk_c1)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(superposition,[],[f126,f232]) ).

fof(f262,plain,
    ( sk_c10 != sk_c10
    | sk_c11 != inverse(sk_c4)
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(superposition,[],[f126,f175]) ).

fof(f263,plain,
    ( sk_c11 != inverse(sk_c4)
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f262]) ).

fof(f264,plain,
    ( sk_c11 != inverse(sk_c1)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f261]) ).

fof(f265,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f263,f170]) ).

fof(f266,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f265]) ).

fof(f267,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f264,f219]) ).

fof(f268,plain,
    ( ~ spl0_4
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f269,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != inverse(sk_c5)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(superposition,[],[f123,f165]) ).

fof(f270,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(superposition,[],[f123,f206]) ).

fof(f272,plain,
    ( sk_c10 != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f270]) ).

fof(f273,plain,
    ( sk_c10 != inverse(sk_c5)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f269]) ).

fof(f275,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f272,f193]) ).

fof(f276,plain,
    ( ~ spl0_3
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f277,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f273,f160]) ).

fof(f278,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f281,plain,
    ( sk_c10 != multiply(sk_c10,sk_c9)
    | sk_c10 != multiply(sk_c5,sk_c10)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f117,f160]) ).

fof(f283,plain,
    ( sk_c10 != multiply(sk_c8,sk_c9)
    | sk_c10 != multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f117,f140]) ).

fof(f284,plain,
    ( sk_c10 != multiply(sk_c10,sk_c9)
    | sk_c10 != multiply(sk_c2,sk_c10)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(superposition,[],[f117,f193]) ).

fof(f295,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f284,f206]) ).

fof(f302,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f281,f165]) ).

fof(f306,definition,
    ( spl0_25
  <=> sk_c10 = multiply(sk_c10,sk_c9) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f307,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f310,definition,
    ( spl0_26
  <=> sk_c10 = sk_c9 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f312,plain,
    ( sk_c10 != sk_c9
    | spl0_26 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f313,plain,
    ( ~ spl0_25
    | ~ spl0_26
    | ~ spl0_1
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f295,f204,f191,f116,f310,f306]) ).

fof(f316,plain,
    ( ~ spl0_25
    | ~ spl0_26
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f302,f163,f158,f116,f310,f306]) ).

fof(f319,plain,
    ( sk_c10 != multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f283,f145]) ).

fof(f320,plain,
    ( ~ spl0_5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f319,f143,f138,f116,f129]) ).

fof(f321,plain,
    ( identity = multiply(sk_c11,sk_c1)
    | ~ spl0_18 ),
    inference(superposition,[],[f3,f219]) ).

fof(f334,definition,
    ( spl0_28
  <=> identity = sk_c10 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f335,plain,
    ( identity = sk_c10
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f340,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f4,f3]) ).

fof(f341,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
    | ~ spl0_19 ),
    inference(superposition,[],[f4,f232]) ).

fof(f342,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
    | ~ spl0_18 ),
    inference(superposition,[],[f4,f321]) ).

fof(f348,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f342,f1]) ).

fof(f349,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f340,f1]) ).

fof(f371,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(superposition,[],[f348,f232]) ).

fof(f385,plain,
    ( multiply(sk_c1,sk_c11) = multiply(sk_c10,sk_c10)
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(superposition,[],[f341,f371]) ).

fof(f387,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f385,f232]) ).

fof(f437,plain,
    ( sk_c10 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(superposition,[],[f349,f387]) ).

fof(f440,plain,
    ( sk_c10 = multiply(inverse(sk_c5),sk_c9)
    | ~ spl0_12 ),
    inference(superposition,[],[f349,f165]) ).

fof(f446,plain,
    ( sk_c10 = multiply(inverse(sk_c2),sk_c9)
    | ~ spl0_17 ),
    inference(superposition,[],[f349,f206]) ).

fof(f455,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f446,f193]) ).

fof(f460,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f440,f160]) ).

fof(f463,plain,
    ( identity = sk_c10
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f437,f3]) ).

fof(f472,plain,
    ( spl0_28
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f463,f230,f217,f334]) ).

fof(f473,plain,
    ( spl0_25
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f455,f204,f191,f306]) ).

fof(f474,plain,
    ( spl0_25
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f460,f163,f158,f306]) ).

fof(f478,plain,
    ( sk_c9 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl0_25 ),
    inference(superposition,[],[f349,f307]) ).

fof(f480,plain,
    ( identity = sk_c9
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f478,f3]) ).

fof(f498,plain,
    ( sk_c10 = sk_c9
    | ~ spl0_25
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f480,f335]) ).

fof(f499,plain,
    ( $false
    | ~ spl0_25
    | spl0_26
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f498,f312]) ).

fof(f500,plain,
    ( ~ spl0_25
    | spl0_26
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f499]) ).

cnf(s1,plain,
    ( spl0_2
    | spl0_3
    | spl0_4
    | spl0_1
    | spl0_3
    | spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(rat,[],[s1]) ).

cnf(s6,plain,
    ( spl0_6
    | spl0_9 ),
    inference(sat_conversion,[],[f151]) ).

cnf(s7,plain,
    ( spl0_6
    | spl0_10 ),
    inference(sat_conversion,[],[f156]) ).

cnf(s15,plain,
    ( spl0_9
    | spl0_15 ),
    inference(sat_conversion,[],[f184]) ).

cnf(s16,plain,
    ( spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f185]) ).

cnf(s26,plain,
    ( spl0_11
    | spl0_16 ),
    inference(sat_conversion,[],[f199]) ).

cnf(s27,plain,
    ( spl0_12
    | spl0_16 ),
    inference(sat_conversion,[],[f200]) ).

cnf(s35,plain,
    ( spl0_11
    | spl0_17 ),
    inference(sat_conversion,[],[f212]) ).

cnf(s36,plain,
    ( spl0_12
    | spl0_17 ),
    inference(sat_conversion,[],[f213]) ).

cnf(s39,plain,
    ( spl0_5
    | spl0_18 ),
    inference(sat_conversion,[],[f220]) ).

cnf(s40,plain,
    ( spl0_7
    | spl0_18 ),
    inference(sat_conversion,[],[f221]) ).

cnf(s41,plain,
    ( spl0_8
    | spl0_18 ),
    inference(sat_conversion,[],[f222]) ).

cnf(s46,plain,
    ( spl0_13
    | spl0_18 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s47,plain,
    ( spl0_14
    | spl0_18 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s48,plain,
    ( spl0_5
    | spl0_19 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s49,plain,
    ( spl0_7
    | spl0_19 ),
    inference(sat_conversion,[],[f234]) ).

cnf(s50,plain,
    ( spl0_8
    | spl0_19 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s55,plain,
    ( spl0_13
    | spl0_19 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s56,plain,
    ( spl0_14
    | spl0_19 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s57,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s59,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f260]) ).

cnf(s60,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s61,plain,
    ( ~ spl0_4
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s66,plain,
    ( ~ spl0_1
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s68,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s71,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s76,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | spl0_28 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s78,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_25 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s79,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_25 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s80,plain,
    ( ~ spl0_25
    | spl0_26
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s82,plain,
    ( spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s60,s55,s56]) ).

cnf(s83,plain,
    ( ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s60,s46,s47,s61]) ).

cnf(s84,plain,
    ~ spl0_4,
    inference(rat,[],[s83,s82]) ).

cnf(s86,plain,
    ( spl0_12
    | ~ spl0_3 ),
    inference(rat,[],[s62,s27,s36]) ).

cnf(s87,plain,
    ( ~ spl0_12
    | ~ spl0_3 ),
    inference(rat,[],[s62,s26,s35,s63]) ).

cnf(s88,plain,
    ~ spl0_3,
    inference(rat,[],[s87,s86]) ).

cnf(s90,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s57,s15,s16]) ).

cnf(s91,plain,
    ( ~ spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s57,s6,s7,s59]) ).

cnf(s92,plain,
    ~ spl0_2,
    inference(rat,[],[s91,s90]) ).

cnf(s93,plain,
    spl0_1,
    inference(rat,[],[s2,s84,s88,s92]) ).

cnf(s95,plain,
    spl0_18,
    inference(rat,[],[s71,s39,s40,s41,s93]) ).

cnf(s96,plain,
    ( ~ spl0_11
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(rat,[],[s80,s68,s79,s93]) ).

cnf(s97,plain,
    ( ~ spl0_28
    | ~ spl0_12 ),
    inference(rat,[],[s66,s80,s78,s26,s35,s96,s93]) ).

cnf(s98,plain,
    spl0_19,
    inference(rat,[],[s71,s48,s49,s50,s93]) ).

cnf(s99,plain,
    spl0_28,
    inference(rat,[],[s76,s95,s98]) ).

cnf(s102,plain,
    ~ spl0_12,
    inference(rat,[],[s97,s99]) ).

cnf(s103,plain,
    spl0_17,
    inference(rat,[],[s36,s102]) ).

cnf(s104,plain,
    spl0_16,
    inference(rat,[],[s27,s102]) ).

cnf(s106,plain,
    spl0_25,
    inference(rat,[],[s78,s103,s104]) ).

cnf(s107,plain,
    spl0_26,
    inference(rat,[],[s80,s99,s106]) ).

cnf(s108,plain,
    $false,
    inference(rat,[],[s66,s104,s103,s93,s107,s106]) ).

fof(f501,plain,
    $false,
    inference(avatar_sat_refutation,[],[s108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP244-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n019.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 09:39:19 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/1.30  % (2841927)Input is clausal, will run a generic CNF schedule.
% 2.02/1.30  % (2841936)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=137349996:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.02/1.30  % (2841937)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3754009606:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.02/1.30  % (2841935)lrs+10_1_sil=8000:sp=occurrence:random_seed=2680056023:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.02/1.30  % (2841938)dis-21_1_sil=8000:lcm=predicate:random_seed=2284886504:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.02/1.30  % (2841932)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=3422992591:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.02/1.30  % (2841934)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1981642159:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.02/1.30  % (2841933)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3737692906:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.02/1.30  % (2841936)Instruction limit reached! 
% 2.02/1.30  % (2841936)------------------------------
% 2.02/1.30  % (2841936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30  % (2841936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30  % (2841936)CaDiCaL version: 2.1.3
% 2.02/1.30  % (2841936)Termination reason: Instruction limit
% 2.02/1.30  % (2841936)Termination phase: Saturation
% 2.02/1.30  % (2841936)Time elapsed: 0.035 s
% 2.02/1.30  % (2841936)Peak memory usage: 89 MB
% 2.02/1.30  % (2841936)Instructions burned: 118 (million)
% 2.02/1.30  % (2841938)Refutation not found, incomplete strategy
% 2.02/1.30  % (2841938)------------------------------
% 2.02/1.30  % (2841938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30  % (2841938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30  % (2841938)CaDiCaL version: 2.1.3
% 2.02/1.30  % (2841938)Termination reason: Refutation not found, incomplete strategy
% 2.02/1.30  % (2841938)Time elapsed: 0.003 s
% 2.02/1.30  % (2841938)Peak memory usage: 88 MB
% 2.02/1.30  % (2841938)Instructions burned: 3 (million)
% 2.02/1.30  % (2841935)Refutation not found, incomplete strategy
% 2.02/1.30  % (2841935)------------------------------
% 2.02/1.30  % (2841935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30  % (2841935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30  % (2841935)CaDiCaL version: 2.1.3
% 2.02/1.30  % (2841935)Termination reason: Refutation not found, incomplete strategy
% 2.02/1.30  % (2841935)Time elapsed: 0.005 s
% 2.02/1.30  % (2841935)Peak memory usage: 88 MB
% 2.02/1.30  % (2841935)Instructions burned: 6 (million)
% 2.02/1.30  % (2841937)First to succeed.
% 2.02/1.30  % (2841937)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2841927"
% 2.02/1.30  % (2841946)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3260614812:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.02/1.30  % (2841946)Refutation not found, incomplete strategy
% 2.02/1.30  % (2841946)------------------------------
% 2.02/1.30  % (2841946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30  % (2841946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30  % (2841946)CaDiCaL version: 2.1.3
% 2.02/1.30  % (2841946)Termination reason: Refutation not found, incomplete strategy
% 2.02/1.30  % (2841946)Time elapsed: 0.003 s
% 2.02/1.30  % (2841946)Peak memory usage: 88 MB
% 2.02/1.30  % (2841946)Instructions burned: 7 (million)
% 2.02/1.30  % (2841938)------------------------------
% 2.02/1.30  % (2841938)------------------------------
% 2.02/1.30  % (2841935)------------------------------
% 2.02/1.30  % (2841935)------------------------------
% 2.02/1.30  % (2841937)Refutation found. Thanks to Tanya!
% 2.02/1.30  % SZS status Unsatisfiable for theBenchmark
% 2.02/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50  % (2841937)------------------------------
% 0.16/1.50  % (2841937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50  % (2841937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50  % (2841937)CaDiCaL version: 2.1.3
% 0.16/1.50  % (2841937)Termination reason: Refutation
% 0.16/1.50  % (2841937)Time elapsed: 0.011 s
% 0.16/1.50  % (2841937)Peak memory usage: 89 MB
% 0.16/1.50  % (2841937)Instructions burned: 16 (million)
% 0.16/1.50  % (2841937)------------------------------
% 0.16/1.50  % (2841937)------------------------------
% 0.16/1.50  % (2841927)Success in time 0.446 s
% 0.16/1.50  % Vampire exiting
%------------------------------------------------------------------------------