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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP301-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 10:13:35 AM UTC 2026

% Result   : Unsatisfiable 2.70s 1.28s
% Output   : Refutation 3.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  314 (  21 unt;  16 def)
%            Number of atoms       : 1085 ( 289 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1472 ( 701   ~; 755   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn  38   !;   0   ?)

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

fof(f2,axiom,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f7,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f8,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f7]) ).

fof(f9,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f10,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f12,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c6 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f11]) ).

fof(f13,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f14,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    inference(reorient_equations,[],[f13]) ).

fof(f15,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f16,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(reorient_equations,[],[f15]) ).

fof(f17,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f18,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f20,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    inference(reorient_equations,[],[f19]) ).

fof(f21,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f22,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f21]) ).

fof(f23,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f24,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    inference(reorient_equations,[],[f23]) ).

fof(f25,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f26,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(reorient_equations,[],[f25]) ).

fof(f27,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f28,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f27]) ).

fof(f29,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f30,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    inference(reorient_equations,[],[f29]) ).

fof(f31,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f32,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f31]) ).

fof(f33,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f34,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    inference(reorient_equations,[],[f33]) ).

fof(f35,negated_conjecture,
    ( inverse(sk_c7) = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f36,plain,
    ( sk_c5 = inverse(sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(reorient_equations,[],[f35]) ).

fof(f37,negated_conjecture,
    ( inverse(sk_c7) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f38,plain,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f37]) ).

fof(f39,negated_conjecture,
    ( inverse(sk_c7) = sk_c5
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f40,plain,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    inference(reorient_equations,[],[f39]) ).

fof(f41,negated_conjecture,
    ( inverse(sk_c7) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f42,plain,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f41]) ).

fof(f43,negated_conjecture,
    ( inverse(sk_c7) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f44,plain,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    inference(reorient_equations,[],[f43]) ).

fof(f45,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f46,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(reorient_equations,[],[f45]) ).

fof(f47,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f48,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f47]) ).

fof(f49,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c5
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f50,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    inference(reorient_equations,[],[f49]) ).

fof(f51,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f52,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f51]) ).

fof(f53,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f54,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    inference(reorient_equations,[],[f53]) ).

fof(f55,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f56,plain,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(reorient_equations,[],[f55]) ).

fof(f57,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f58,plain,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f57]) ).

fof(f59,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f60,plain,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    inference(reorient_equations,[],[f59]) ).

fof(f61,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f62,plain,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f61]) ).

fof(f63,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f64,plain,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    inference(reorient_equations,[],[f63]) ).

fof(f65,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( multiply(sk_c7,sk_c6) != sk_c5
      | multiply(X0,sk_c7) != sk_c6
      | inverse(X0) != sk_c7
      | inverse(sk_c7) != sk_c5
      | multiply(X1,sk_c6) != sk_c5
      | inverse(X1) != sk_c6
      | multiply(sk_c6,sk_c7) != sk_c5
      | inverse(X2) != sk_c7
      | multiply(X2,sk_c6) != sk_c7
      | inverse(X3) != sk_c6
      | multiply(X3,sk_c5) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( multiply(sk_c7,sk_c6) != sk_c5
      | sk_c6 != multiply(X0,sk_c7)
      | inverse(X0) != sk_c7
      | sk_c5 != inverse(sk_c7)
      | sk_c5 != multiply(X1,sk_c6)
      | sk_c6 != inverse(X1)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c7 != inverse(X2)
      | sk_c7 != multiply(X2,sk_c6)
      | sk_c6 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c5) ),
    inference(reorient_equations,[],[f65]) ).

fof(f68,definition,
    ( spl0_1
  <=> ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c5) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f69,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c5) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f71,definition,
    ( spl0_2
  <=> ! [X2] :
        ( sk_c7 != inverse(X2)
        | sk_c7 != multiply(X2,sk_c6) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f72,plain,
    ( ! [X2] :
        ( sk_c7 != inverse(X2)
        | sk_c7 != multiply(X2,sk_c6) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f74,definition,
    ( spl0_3
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f75,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f76,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f78,definition,
    ( spl0_4
  <=> ! [X1] :
        ( sk_c5 != multiply(X1,sk_c6)
        | sk_c6 != inverse(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f79,plain,
    ( ! [X1] :
        ( sk_c5 != multiply(X1,sk_c6)
        | sk_c6 != inverse(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f81,definition,
    ( spl0_5
  <=> sk_c5 = inverse(sk_c7) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f82,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f83,plain,
    ( sk_c5 != inverse(sk_c7)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f85,definition,
    ( spl0_6
  <=> ! [X0] :
        ( sk_c6 != multiply(X0,sk_c7)
        | inverse(X0) != sk_c7 ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f86,plain,
    ( ! [X0] :
        ( inverse(X0) != sk_c7
        | sk_c6 != multiply(X0,sk_c7) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f88,definition,
    ( spl0_7
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f89,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f90,plain,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | spl0_7 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f91,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f66,f88,f85,f81,f78,f74,f71,f68]) ).

fof(f93,definition,
    ( spl0_8
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f95,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f97,definition,
    ( spl0_9
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f99,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f100,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f64,f97,f93]) ).

fof(f102,definition,
    ( spl0_10
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f104,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f105,plain,
    ( spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f62,f97,f102]) ).

fof(f107,definition,
    ( spl0_11
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f109,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f110,plain,
    ( spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f60,f97,f107]) ).

fof(f112,definition,
    ( spl0_12
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f114,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f115,plain,
    ( spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f58,f97,f112]) ).

fof(f116,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f56,f97,f74]) ).

fof(f118,definition,
    ( spl0_13
  <=> sk_c5 = multiply(sk_c2,sk_c6) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f120,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f121,plain,
    ( spl0_8
    | spl0_13 ),
    inference(avatar_split_clause,[],[f54,f118,f93]) ).

fof(f122,plain,
    ( spl0_10
    | spl0_13 ),
    inference(avatar_split_clause,[],[f52,f118,f102]) ).

fof(f123,plain,
    ( spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f50,f118,f107]) ).

fof(f124,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f48,f118,f112]) ).

fof(f125,plain,
    ( spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f46,f118,f74]) ).

fof(f126,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f44,f81,f93]) ).

fof(f127,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f42,f81,f102]) ).

fof(f128,plain,
    ( spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f40,f81,f107]) ).

fof(f129,plain,
    ( spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f38,f81,f112]) ).

fof(f130,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f36,f81,f74]) ).

fof(f132,definition,
    ( spl0_14
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f134,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f135,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_split_clause,[],[f34,f132,f93]) ).

fof(f136,plain,
    ( spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f32,f132,f102]) ).

fof(f137,plain,
    ( spl0_11
    | spl0_14 ),
    inference(avatar_split_clause,[],[f30,f132,f107]) ).

fof(f138,plain,
    ( spl0_12
    | spl0_14 ),
    inference(avatar_split_clause,[],[f28,f132,f112]) ).

fof(f139,plain,
    ( spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f26,f132,f74]) ).

fof(f141,definition,
    ( spl0_15
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f143,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f144,plain,
    ( spl0_8
    | spl0_15 ),
    inference(avatar_split_clause,[],[f24,f141,f93]) ).

fof(f145,plain,
    ( spl0_10
    | spl0_15 ),
    inference(avatar_split_clause,[],[f22,f141,f102]) ).

fof(f146,plain,
    ( spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f20,f141,f107]) ).

fof(f147,plain,
    ( spl0_12
    | spl0_15 ),
    inference(avatar_split_clause,[],[f18,f141,f112]) ).

fof(f148,plain,
    ( spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f16,f141,f74]) ).

fof(f149,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f14,f88,f93]) ).

fof(f150,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f12,f88,f102]) ).

fof(f151,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f10,f88,f107]) ).

fof(f152,plain,
    ( spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f8,f88,f112]) ).

fof(f154,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f104]) ).

fof(f155,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f114]) ).

fof(f158,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f4,f3]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | ~ spl0_3 ),
    inference(superposition,[],[f4,f75]) ).

fof(f160,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f4,f154]) ).

fof(f161,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f4,f109]) ).

fof(f163,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f160,f1]) ).

fof(f164,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f158,f1]) ).

fof(f173,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f163,f95]) ).

fof(f176,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f161,f75]) ).

fof(f200,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f164,f155]) ).

fof(f207,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_11 ),
    inference(superposition,[],[f164,f109]) ).

fof(f216,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f207,f114]) ).

fof(f217,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f159,f216]) ).

fof(f220,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f217,f173]) ).

fof(f227,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f164,f220]) ).

fof(f229,plain,
    ( identity = sk_c7
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f227,f3]) ).

fof(f235,plain,
    ( sk_c3 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f200,f229]) ).

fof(f237,plain,
    ( identity = sk_c3
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f235,f3]) ).

fof(f238,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f237,f229]) ).

fof(f243,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f155,f238]) ).

fof(f245,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f114,f238]) ).

fof(f246,plain,
    ( identity = sk_c6
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f243,f216]) ).

fof(f248,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f246,f229]) ).

fof(f256,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f176,f238]) ).

fof(f257,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f256,f216]) ).

fof(f259,plain,
    ( sk_c5 != inverse(sk_c6)
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f83,f248]) ).

fof(f276,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f257,f248]) ).

fof(f278,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f164,f276]) ).

fof(f280,plain,
    ( identity = sk_c5
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f278,f3]) ).

fof(f282,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f280,f229]) ).

fof(f284,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f282,f248]) ).

fof(f330,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f245,f248]) ).

fof(f344,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f259,f330]) ).

fof(f345,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f344,f284]) ).

fof(f346,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f348,plain,
    ( sk_c6 != multiply(sk_c7,sk_c6)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f90,f284]) ).

fof(f350,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f348,f248]) ).

fof(f351,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f350,f173]) ).

fof(f352,plain,
    ( $false
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f351,f284]) ).

fof(f353,plain,
    ( ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f354,plain,
    ( ! [X0] :
        ( sk_c6 != multiply(X0,sk_c6)
        | inverse(X0) != sk_c7 )
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f86,f248]) ).

fof(f356,plain,
    ( ! [X0] :
        ( inverse(X0) != sk_c6
        | sk_c6 != multiply(X0,sk_c6) )
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f354,f248]) ).

fof(f368,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != multiply(sk_c3,sk_c6)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f356,f114]) ).

fof(f374,plain,
    ( sk_c6 != multiply(sk_c3,sk_c6)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f368,f248]) ).

fof(f376,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f374,f109]) ).

fof(f379,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f376,f248]) ).

fof(f380,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f381,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f69,f284]) ).

fof(f412,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f381,f114]) ).

fof(f418,plain,
    ( sk_c6 != multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f412,f248]) ).

fof(f420,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f418,f109]) ).

fof(f423,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f420,f248]) ).

fof(f424,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f423]) ).

fof(f441,plain,
    ( ! [X1] :
        ( sk_c6 != inverse(X1)
        | sk_c6 != multiply(X1,sk_c6) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f79,f284]) ).

fof(f443,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != multiply(sk_c3,sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f441,f114]) ).

fof(f449,plain,
    ( sk_c6 != multiply(sk_c3,sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f443,f248]) ).

fof(f451,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f449,f109]) ).

fof(f454,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f451,f248]) ).

fof(f455,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f454]) ).

fof(f458,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f82]) ).

fof(f462,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f134]) ).

fof(f466,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c5)
    | ~ spl0_13 ),
    inference(superposition,[],[f164,f120]) ).

fof(f468,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f466,f99]) ).

fof(f469,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | ~ spl0_15 ),
    inference(superposition,[],[f164,f143]) ).

fof(f471,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f469,f134]) ).

fof(f481,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_14 ),
    inference(superposition,[],[f164,f462]) ).

fof(f484,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f481,f200]) ).

fof(f508,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f164,f468]) ).

fof(f510,plain,
    ( identity = sk_c5
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f508,f3]) ).

fof(f556,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f471,f89]) ).

fof(f559,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f164,f471]) ).

fof(f561,plain,
    ( identity = sk_c6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f559,f3]) ).

fof(f577,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f561,f510]) ).

fof(f603,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f577,f556]) ).

fof(f606,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f458,f577]) ).

fof(f610,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f606,f510]) ).

fof(f611,plain,
    ( $false
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f610,f76]) ).

fof(f612,plain,
    ( spl0_3
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f611]) ).

fof(f627,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f86,f134]) ).

fof(f629,plain,
    ( sk_c6 != multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f627]) ).

fof(f636,definition,
    ( spl0_17
  <=> sk_c7 = sk_c6 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f637,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f640,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f629,f143]) ).

fof(f641,plain,
    ( ~ spl0_6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f640]) ).

fof(f648,plain,
    ( spl0_17
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f603,f141,f132,f118,f97,f88,f636]) ).

fof(f649,plain,
    ( sk_c7 != sk_c5
    | sk_c7 != multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f72,f82]) ).

fof(f650,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f72,f114]) ).

fof(f654,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f650]) ).

fof(f657,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f654,f109]) ).

fof(f658,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f657]) ).

fof(f659,plain,
    ( sk_c7 != multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f649,f556]) ).

fof(f663,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f659,f471]) ).

fof(f664,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f663]) ).

fof(f666,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c6 != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f69,f556]) ).

fof(f701,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f666,f637]) ).

fof(f705,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f701,f99]) ).

fof(f706,plain,
    ( sk_c6 != multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f705]) ).

fof(f707,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f706,f120]) ).

fof(f711,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f707,f577]) ).

fof(f712,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f723,plain,
    ( ! [X1] :
        ( sk_c7 != multiply(X1,sk_c6)
        | sk_c6 != inverse(X1) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f79,f556]) ).

fof(f724,plain,
    ( ! [X1] :
        ( sk_c6 != inverse(X1)
        | sk_c6 != multiply(X1,sk_c6) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f723,f637]) ).

fof(f731,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != multiply(sk_c1,sk_c6)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f724,f134]) ).

fof(f732,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c2,sk_c6)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f724,f99]) ).

fof(f733,plain,
    ( sk_c6 != multiply(sk_c2,sk_c6)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f732]) ).

fof(f735,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f733,f120]) ).

fof(f736,plain,
    ( sk_c6 != multiply(sk_c1,sk_c6)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f731,f637]) ).

fof(f741,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f735,f577]) ).

fof(f742,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f741]) ).

fof(f743,plain,
    ( sk_c6 != multiply(sk_c3,sk_c6)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f736,f484]) ).

fof(f746,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f743,f109]) ).

fof(f751,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f746,f637]) ).

fof(f752,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f751]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f91]) ).

cnf(s2,plain,
    ( spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f100]) ).

cnf(s3,plain,
    ( spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s4,plain,
    ( spl0_9
    | spl0_11 ),
    inference(sat_conversion,[],[f110]) ).

cnf(s5,plain,
    ( spl0_9
    | spl0_12 ),
    inference(sat_conversion,[],[f115]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_9 ),
    inference(sat_conversion,[],[f116]) ).

cnf(s7,plain,
    ( spl0_8
    | spl0_13 ),
    inference(sat_conversion,[],[f121]) ).

cnf(s8,plain,
    ( spl0_10
    | spl0_13 ),
    inference(sat_conversion,[],[f122]) ).

cnf(s9,plain,
    ( spl0_11
    | spl0_13 ),
    inference(sat_conversion,[],[f123]) ).

cnf(s10,plain,
    ( spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f124]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_13 ),
    inference(sat_conversion,[],[f125]) ).

cnf(s12,plain,
    ( spl0_5
    | spl0_8 ),
    inference(sat_conversion,[],[f126]) ).

cnf(s13,plain,
    ( spl0_5
    | spl0_10 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s14,plain,
    ( spl0_5
    | spl0_11 ),
    inference(sat_conversion,[],[f128]) ).

cnf(s15,plain,
    ( spl0_5
    | spl0_12 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s16,plain,
    ( spl0_3
    | spl0_5 ),
    inference(sat_conversion,[],[f130]) ).

cnf(s17,plain,
    ( spl0_8
    | spl0_14 ),
    inference(sat_conversion,[],[f135]) ).

cnf(s18,plain,
    ( spl0_10
    | spl0_14 ),
    inference(sat_conversion,[],[f136]) ).

cnf(s19,plain,
    ( spl0_11
    | spl0_14 ),
    inference(sat_conversion,[],[f137]) ).

cnf(s20,plain,
    ( spl0_12
    | spl0_14 ),
    inference(sat_conversion,[],[f138]) ).

cnf(s21,plain,
    ( spl0_3
    | spl0_14 ),
    inference(sat_conversion,[],[f139]) ).

cnf(s22,plain,
    ( spl0_8
    | spl0_15 ),
    inference(sat_conversion,[],[f144]) ).

cnf(s23,plain,
    ( spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s24,plain,
    ( spl0_11
    | spl0_15 ),
    inference(sat_conversion,[],[f146]) ).

cnf(s25,plain,
    ( spl0_12
    | spl0_15 ),
    inference(sat_conversion,[],[f147]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_15 ),
    inference(sat_conversion,[],[f148]) ).

cnf(s27,plain,
    ( spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f149]) ).

cnf(s28,plain,
    ( spl0_7
    | spl0_10 ),
    inference(sat_conversion,[],[f150]) ).

cnf(s29,plain,
    ( spl0_7
    | spl0_11 ),
    inference(sat_conversion,[],[f151]) ).

cnf(s30,plain,
    ( spl0_7
    | spl0_12 ),
    inference(sat_conversion,[],[f152]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s39,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s47,plain,
    ( spl0_3
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s49,plain,
    ( ~ spl0_6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s52,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_17 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s53,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s55,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s57,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s62,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s65,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s66,plain,
    spl0_3,
    inference(rat,[],[s47,s6,s11,s16,s21,s26]) ).

cnf(s67,plain,
    spl0_7,
    inference(rat,[],[s33,s27,s28,s29,s30,s66]) ).

cnf(s68,plain,
    ( spl0_12
    | ~ spl0_6 ),
    inference(rat,[],[s49,s20,s25]) ).

cnf(s69,plain,
    ( spl0_11
    | ~ spl0_6 ),
    inference(rat,[],[s49,s19,s24]) ).

cnf(s70,plain,
    ( spl0_10
    | ~ spl0_6 ),
    inference(rat,[],[s49,s18,s23]) ).

cnf(s71,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(rat,[],[s49,s17,s22,s36,s66]) ).

cnf(s72,plain,
    ~ spl0_6,
    inference(rat,[],[s71,s70,s69,s68]) ).

cnf(s73,plain,
    spl0_5,
    inference(rat,[],[s32,s12,s13,s14,s15,s66]) ).

cnf(s74,plain,
    ( spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s62,s52,s5,s10,s20,s25,s67]) ).

cnf(s75,plain,
    ( spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s62,s52,s4,s9,s19,s24,s67]) ).

cnf(s76,plain,
    ( spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s52,s65,s3,s8,s18,s23,s74,s75,s67]) ).

cnf(s77,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s52,s65,s2,s7,s17,s22,s45,s66,s67]) ).

cnf(s78,plain,
    ~ spl0_4,
    inference(rat,[],[s77,s76,s75,s74]) ).

cnf(s79,plain,
    ( spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s55,s20,s25,s73,s67]) ).

cnf(s80,plain,
    ( ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s55,s19,s24,s53,s67,s73]) ).

cnf(s81,plain,
    ~ spl0_2,
    inference(rat,[],[s80,s79]) ).

cnf(s82,plain,
    spl0_1,
    inference(rat,[],[s1,s67,s72,s66,s73,s78,s81]) ).

cnf(s83,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(rat,[],[s57,s52,s82,s67]) ).

cnf(s84,plain,
    spl0_12,
    inference(rat,[],[s83,s5,s10,s20,s25]) ).

cnf(s85,plain,
    ( spl0_10
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(rat,[],[s83,s3,s8]) ).

cnf(s86,plain,
    ( ~ spl0_15
    | ~ spl0_14
    | ~ spl0_11 ),
    inference(rat,[],[s83,s2,s7,s39,s85,s84,s66,s82]) ).

cnf(s87,plain,
    ( spl0_15
    | ~ spl0_11 ),
    inference(rat,[],[s39,s22,s23,s84,s66,s82]) ).

cnf(s88,plain,
    ( ~ spl0_15
    | ~ spl0_11 ),
    inference(rat,[],[s39,s17,s18,s86,s82,s66,s84]) ).

cnf(s89,plain,
    ~ spl0_11,
    inference(rat,[],[s88,s87]) ).

cnf(s90,plain,
    spl0_15,
    inference(rat,[],[s24,s89]) ).

cnf(s91,plain,
    spl0_14,
    inference(rat,[],[s19,s89]) ).

cnf(s92,plain,
    spl0_13,
    inference(rat,[],[s9,s89]) ).

cnf(s93,plain,
    spl0_9,
    inference(rat,[],[s4,s89]) ).

cnf(s95,plain,
    $false,
    inference(rat,[],[s83,s90,s91,s93,s92]) ).

fof(f753,plain,
    $false,
    inference(avatar_sat_refutation,[],[s95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP301-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n026.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 27 09:51:41 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/1.28  % (2586488)Input is clausal, will run a generic CNF schedule.
% 2.70/1.28  % (2586496)lrs+10_1_sil=8000:sp=occurrence:random_seed=3887866700:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.28  % (2586496)Refutation not found, incomplete strategy
% 2.70/1.28  % (2586496)------------------------------
% 2.70/1.28  % (2586496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28  % (2586496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28  % (2586496)CaDiCaL version: 2.1.3
% 2.70/1.28  % (2586496)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.28  % (2586496)Time elapsed: 0.001 s
% 2.70/1.28  % (2586496)Peak memory usage: 88 MB
% 2.70/1.28  % (2586496)Instructions burned: 3 (million)
% 2.70/1.28  % (2586499)dis-21_1_sil=8000:lcm=predicate:random_seed=267978003: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)
% 2.70/1.28  % (2586498)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3338764167:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.28  % (2586494)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=589576045:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.28  % (2586495)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1314830606:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.28  % (2586493)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=43385776:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.28  % (2586499)Refutation not found, incomplete strategy
% 2.70/1.28  % (2586499)------------------------------
% 2.70/1.28  % (2586499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28  % (2586499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28  % (2586499)CaDiCaL version: 2.1.3
% 2.70/1.28  % (2586499)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.28  % (2586499)Time elapsed: 0.002 s
% 2.70/1.28  % (2586499)Peak memory usage: 88 MB
% 2.70/1.28  % (2586499)Instructions burned: 1 (million)
% 2.70/1.28  % (2586497)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3406638047:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.28  % (2586498)First to succeed.
% 2.70/1.28  % (2586498)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2586488"
% 2.70/1.28  % (2586497)Instruction limit reached! 
% 2.70/1.28  % (2586497)------------------------------
% 2.70/1.28  % (2586497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28  % (2586497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28  % (2586497)CaDiCaL version: 2.1.3
% 2.70/1.28  % (2586497)Termination reason: Instruction limit
% 2.70/1.28  % (2586497)Termination phase: Saturation
% 2.70/1.28  % (2586497)Time elapsed: 0.068 s
% 2.70/1.28  % (2586497)Peak memory usage: 89 MB
% 2.70/1.28  % (2586497)Instructions burned: 116 (million)
% 2.70/1.28  % (2586496)------------------------------
% 2.70/1.28  % (2586496)------------------------------
% 2.70/1.28  % (2586508)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3901510383:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.70/1.28  % (2586508)Refutation not found, incomplete strategy
% 2.70/1.28  % (2586508)------------------------------
% 2.70/1.28  % (2586508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28  % (2586507)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=3039702414:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.70/1.28  % (2586508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28  % (2586508)CaDiCaL version: 2.1.3
% 2.70/1.28  % (2586508)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.28  % (2586508)Time elapsed: 0.002 s
% 2.70/1.28  % (2586508)Peak memory usage: 88 MB
% 2.70/1.28  % (2586508)Instructions burned: 3 (million)
% 2.70/1.28  % (2586507)Refutation not found, incomplete strategy
% 2.70/1.28  % (2586507)------------------------------
% 2.70/1.28  % (2586507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28  % (2586507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28  % (2586507)CaDiCaL version: 2.1.3
% 2.70/1.28  % (2586507)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.28  % (2586507)Time elapsed: 0.002 s
% 2.70/1.28  % (2586507)Peak memory usage: 88 MB
% 2.70/1.28  % (2586507)Instructions burned: 3 (million)
% 2.70/1.28  % (2586499)------------------------------
% 2.70/1.28  % (2586499)------------------------------
% 2.70/1.28  % (2586498)Refutation found. Thanks to Tanya!
% 2.70/1.28  % SZS status Unsatisfiable for theBenchmark
% 2.70/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.48  % (2586498)------------------------------
% 3.60/1.48  % (2586498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.48  % (2586498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.48  % (2586498)CaDiCaL version: 2.1.3
% 3.60/1.48  % (2586498)Termination reason: Refutation
% 3.60/1.48  % (2586498)Time elapsed: 0.018 s
% 3.60/1.48  % (2586498)Peak memory usage: 89 MB
% 3.60/1.48  % (2586498)Instructions burned: 25 (million)
% 3.60/1.48  % (2586498)------------------------------
% 3.60/1.48  % (2586498)------------------------------
% 3.60/1.48  % (2586488)Success in time 0.438 s
% 3.60/1.48  % Vampire exiting
%------------------------------------------------------------------------------