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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP320-1 : 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 : n008.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 10:13:38 AM UTC 2026

% Result   : Unsatisfiable 2.59s 1.32s
% Output   : Refutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  308 (  21 unt;  16 def)
%            Number of atoms       : 1027 ( 299 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1361 ( 642   ~; 703   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   49 (   0 sgn  49   !;   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(f5,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f8,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f7]) ).

fof(f9,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f10,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f12,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c7 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f11]) ).

fof(f13,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f14,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    inference(reorient_equations,[],[f13]) ).

fof(f15,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c8
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f16,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    inference(reorient_equations,[],[f15]) ).

fof(f17,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f18,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c8
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f20,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    inference(reorient_equations,[],[f19]) ).

fof(f21,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f22,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c7 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f21]) ).

fof(f23,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f24,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    inference(reorient_equations,[],[f23]) ).

fof(f25,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f26,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    inference(reorient_equations,[],[f25]) ).

fof(f27,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f28,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f27]) ).

fof(f29,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f30,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    inference(reorient_equations,[],[f29]) ).

fof(f31,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f32,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f31]) ).

fof(f33,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f34,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    inference(reorient_equations,[],[f33]) ).

fof(f35,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f36,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    inference(reorient_equations,[],[f35]) ).

fof(f37,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f38,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c8 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f37]) ).

fof(f39,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f40,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    inference(reorient_equations,[],[f39]) ).

fof(f41,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c7 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f41]) ).

fof(f43,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f44,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    inference(reorient_equations,[],[f43]) ).

fof(f45,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f46,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    inference(reorient_equations,[],[f45]) ).

fof(f47,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f48,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f47]) ).

fof(f49,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f50,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    inference(reorient_equations,[],[f49]) ).

fof(f51,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f52,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f51]) ).

fof(f53,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c3
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f54,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    inference(reorient_equations,[],[f53]) ).

fof(f55,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f56,plain,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    inference(reorient_equations,[],[f55]) ).

fof(f57,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f58,plain,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    inference(reorient_equations,[],[f57]) ).

fof(f59,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f60,plain,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    inference(reorient_equations,[],[f59]) ).

fof(f61,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f62,plain,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c5) ),
    inference(reorient_equations,[],[f61]) ).

fof(f63,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f64,plain,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    inference(reorient_equations,[],[f63]) ).

fof(f65,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( multiply(sk_c7,sk_c8) != sk_c6
      | multiply(X0,sk_c7) != sk_c8
      | inverse(X0) != sk_c7
      | multiply(sk_c8,X1) != sk_c7
      | multiply(X2,sk_c8) != X1
      | inverse(X2) != sk_c8
      | multiply(X3,sk_c8) != sk_c7
      | inverse(X3) != sk_c8
      | multiply(X4,sk_c7) != sk_c6
      | inverse(X4) != sk_c7
      | multiply(sk_c6,sk_c8) != sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f66,plain,
    ! [X2,X3,X0,X1,X4] :
      ( multiply(sk_c7,sk_c8) != sk_c6
      | sk_c8 != multiply(X0,sk_c7)
      | inverse(X0) != sk_c7
      | sk_c7 != multiply(sk_c8,X1)
      | multiply(X2,sk_c8) != X1
      | sk_c8 != inverse(X2)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X3)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != inverse(X4)
      | sk_c7 != multiply(sk_c6,sk_c8) ),
    inference(reorient_equations,[],[f65]) ).

fof(f67,plain,
    ! [X2,X3,X0,X4] :
      ( multiply(sk_c7,sk_c8) != sk_c6
      | sk_c8 != multiply(X0,sk_c7)
      | inverse(X0) != sk_c7
      | sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
      | sk_c8 != inverse(X2)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X3)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != inverse(X4)
      | sk_c7 != multiply(sk_c6,sk_c8) ),
    inference(equality_resolution,[],[f66]) ).

fof(f69,definition,
    ( spl0_1
  <=> sk_c7 = multiply(sk_c6,sk_c8) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f70,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f71,plain,
    ( sk_c7 != multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f73,definition,
    ( spl0_2
  <=> ! [X4] :
        ( sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f74,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f76,definition,
    ( spl0_3
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f77,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f79,definition,
    ( spl0_4
  <=> ! [X2] :
        ( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
        | sk_c8 != inverse(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f80,plain,
    ( ! [X2] :
        ( sk_c8 != inverse(X2)
        | sk_c7 != multiply(sk_c8,multiply(X2,sk_c8)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f82,definition,
    ( spl0_5
  <=> ! [X0] :
        ( sk_c8 != multiply(X0,sk_c7)
        | inverse(X0) != sk_c7 ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f83,plain,
    ( ! [X0] :
        ( sk_c8 != multiply(X0,sk_c7)
        | inverse(X0) != sk_c7 )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f85,definition,
    ( spl0_6
  <=> multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f86,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f87,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | spl0_6 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f88,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f67,f85,f82,f79,f76,f73,f69]) ).

fof(f90,definition,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f92,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f93,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f64,f90,f69]) ).

fof(f95,definition,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c5) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f97,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f98,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f62,f90,f95]) ).

fof(f100,definition,
    ( spl0_9
  <=> sk_c6 = multiply(sk_c5,sk_c7) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f102,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f103,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f60,f90,f100]) ).

fof(f105,definition,
    ( spl0_10
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f107,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f108,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f58,f90,f105]) ).

fof(f110,definition,
    ( spl0_11
  <=> sk_c7 = multiply(sk_c4,sk_c8) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f112,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f113,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f56,f90,f110]) ).

fof(f115,definition,
    ( spl0_12
  <=> sk_c3 = multiply(sk_c2,sk_c8) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f117,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f118,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_split_clause,[],[f54,f115,f69]) ).

fof(f119,plain,
    ( spl0_8
    | spl0_12 ),
    inference(avatar_split_clause,[],[f52,f115,f95]) ).

fof(f120,plain,
    ( spl0_9
    | spl0_12 ),
    inference(avatar_split_clause,[],[f50,f115,f100]) ).

fof(f121,plain,
    ( spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f48,f115,f105]) ).

fof(f122,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f46,f115,f110]) ).

fof(f124,definition,
    ( spl0_13
  <=> sk_c7 = multiply(sk_c8,sk_c3) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f126,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f127,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f44,f124,f69]) ).

fof(f128,plain,
    ( spl0_8
    | spl0_13 ),
    inference(avatar_split_clause,[],[f42,f124,f95]) ).

fof(f129,plain,
    ( spl0_9
    | spl0_13 ),
    inference(avatar_split_clause,[],[f40,f124,f100]) ).

fof(f130,plain,
    ( spl0_10
    | spl0_13 ),
    inference(avatar_split_clause,[],[f38,f124,f105]) ).

fof(f131,plain,
    ( spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f36,f124,f110]) ).

fof(f133,definition,
    ( spl0_14
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f135,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f136,plain,
    ( spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f34,f133,f69]) ).

fof(f137,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_split_clause,[],[f32,f133,f95]) ).

fof(f138,plain,
    ( spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f30,f133,f100]) ).

fof(f139,plain,
    ( spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f28,f133,f105]) ).

fof(f140,plain,
    ( spl0_11
    | spl0_14 ),
    inference(avatar_split_clause,[],[f26,f133,f110]) ).

fof(f142,definition,
    ( spl0_15
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f144,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f145,plain,
    ( spl0_1
    | spl0_15 ),
    inference(avatar_split_clause,[],[f24,f142,f69]) ).

fof(f146,plain,
    ( spl0_8
    | spl0_15 ),
    inference(avatar_split_clause,[],[f22,f142,f95]) ).

fof(f147,plain,
    ( spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f20,f142,f100]) ).

fof(f148,plain,
    ( spl0_10
    | spl0_15 ),
    inference(avatar_split_clause,[],[f18,f142,f105]) ).

fof(f149,plain,
    ( spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f16,f142,f110]) ).

fof(f150,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f14,f85,f69]) ).

fof(f151,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f12,f85,f95]) ).

fof(f152,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f10,f85,f100]) ).

fof(f153,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f85,f105]) ).

fof(f154,plain,
    ( spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f6,f85,f110]) ).

fof(f155,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f92]) ).

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

fof(f160,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | ~ spl0_15 ),
    inference(superposition,[],[f4,f144]) ).

fof(f165,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f158,f1]) ).

fof(f167,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f4,f155]) ).

fof(f168,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f167,f1]) ).

fof(f171,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f168,f117]) ).

fof(f174,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f171,f126]) ).

fof(f181,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f86,f174]) ).

fof(f182,plain,
    ( sk_c3 = multiply(sk_c2,sk_c7)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f117,f174]) ).

fof(f183,plain,
    ( sk_c7 = multiply(sk_c7,sk_c3)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f126,f174]) ).

fof(f251,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_15 ),
    inference(superposition,[],[f165,f144]) ).

fof(f258,plain,
    ( sk_c3 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_13 ),
    inference(superposition,[],[f165,f126]) ).

fof(f266,plain,
    ( sk_c3 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f258,f174]) ).

fof(f271,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c7)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f251,f174]) ).

fof(f276,plain,
    ( identity = sk_c3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f266,f3]) ).

fof(f278,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f271,f135]) ).

fof(f288,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c7)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f160,f278]) ).

fof(f289,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f165,f278]) ).

fof(f291,plain,
    ( identity = sk_c7
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f289,f3]) ).

fof(f292,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c7,sk_c7)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f288,f174]) ).

fof(f295,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f292,f181]) ).

fof(f296,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f295,f144]) ).

fof(f297,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f296,f174]) ).

fof(f298,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f291,f276]) ).

fof(f304,plain,
    ( sk_c7 != multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f71,f297]) ).

fof(f305,plain,
    ( sk_c7 != sk_c6
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f304,f86]) ).

fof(f308,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f305,f297]) ).

fof(f309,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f308]) ).

fof(f311,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f74,f297]) ).

fof(f314,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f311,f135]) ).

fof(f315,plain,
    ( sk_c7 != multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f314]) ).

fof(f316,plain,
    ( sk_c7 != sk_c8
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f315,f144]) ).

fof(f318,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f316,f174]) ).

fof(f319,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f318]) ).

fof(f321,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f77,f174]) ).

fof(f322,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c7) )
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f321,f174]) ).

fof(f328,plain,
    ( sk_c7 != sk_c8
    | sk_c7 != multiply(sk_c2,sk_c7)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f322,f92]) ).

fof(f332,plain,
    ( sk_c7 != multiply(sk_c2,sk_c7)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f328,f174]) ).

fof(f335,plain,
    ( sk_c7 != sk_c3
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f332,f182]) ).

fof(f336,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f335,f298]) ).

fof(f337,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f338,plain,
    ( ! [X2] :
        ( sk_c7 != multiply(sk_c7,multiply(X2,sk_c7))
        | sk_c8 != inverse(X2) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f80,f174]) ).

fof(f339,plain,
    ( ! [X2] :
        ( sk_c7 != inverse(X2)
        | sk_c7 != multiply(sk_c7,multiply(X2,sk_c7)) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f338,f174]) ).

fof(f340,plain,
    ( sk_c7 != sk_c8
    | sk_c7 != multiply(sk_c7,multiply(sk_c2,sk_c7))
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f339,f92]) ).

fof(f344,plain,
    ( sk_c7 != multiply(sk_c7,multiply(sk_c2,sk_c7))
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f340,f174]) ).

fof(f346,plain,
    ( sk_c7 != multiply(sk_c7,sk_c3)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f344,f182]) ).

fof(f349,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f346,f183]) ).

fof(f350,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f351,plain,
    ( ! [X0] :
        ( inverse(X0) != sk_c7
        | sk_c7 != multiply(X0,sk_c7) )
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f83,f174]) ).

fof(f352,plain,
    ( sk_c7 != sk_c8
    | sk_c7 != multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f351,f92]) ).

fof(f356,plain,
    ( sk_c7 != multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f352,f174]) ).

fof(f359,plain,
    ( sk_c7 != sk_c3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f356,f182]) ).

fof(f360,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f359,f298]) ).

fof(f361,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f360]) ).

fof(f374,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f165,f102]) ).

fof(f375,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f4,f102]) ).

fof(f376,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f374,f97]) ).

fof(f402,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f74,f97]) ).

fof(f406,plain,
    ( sk_c6 != multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f402]) ).

fof(f409,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f406,f102]) ).

fof(f410,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f409]) ).

fof(f428,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f107]) ).

fof(f430,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f4,f70]) ).

fof(f431,plain,
    ( sk_c8 = multiply(inverse(sk_c4),sk_c7)
    | ~ spl0_11 ),
    inference(superposition,[],[f165,f112]) ).

fof(f433,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f431,f107]) ).

fof(f434,plain,
    ( sk_c8 != sk_c8
    | sk_c7 != multiply(sk_c8,multiply(sk_c4,sk_c8))
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f80,f107]) ).

fof(f437,plain,
    ( sk_c7 != multiply(sk_c8,multiply(sk_c4,sk_c8))
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f434]) ).

fof(f443,definition,
    ( spl0_17
  <=> sk_c7 = sk_c8 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f444,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f452,plain,
    ( sk_c7 != multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f437,f112]) ).

fof(f459,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f165,f376]) ).

fof(f461,plain,
    ( identity = sk_c6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f459,f3]) ).

fof(f479,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f165,f433]) ).

fof(f481,plain,
    ( identity = sk_c7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f479,f3]) ).

fof(f490,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f481,f461]) ).

fof(f494,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c5,sk_c6)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f375,f86]) ).

fof(f505,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f494,f70]) ).

fof(f509,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f430,f490]) ).

fof(f522,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f505,f490]) ).

fof(f530,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f165,f509]) ).

fof(f533,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f530,f165]) ).

fof(f557,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f433,f533]) ).

fof(f558,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f452,f533]) ).

fof(f559,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f428,f533]) ).

fof(f561,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f558]) ).

fof(f562,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f561]) ).

fof(f563,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f559,f461]) ).

fof(f569,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f563,f490]) ).

fof(f571,plain,
    ( spl0_17
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f557,f110,f105,f100,f95,f69,f443]) ).

fof(f574,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(superposition,[],[f112,f444]) ).

fof(f590,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f77,f444]) ).

fof(f591,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c7) )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f590,f444]) ).

fof(f595,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c5,sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f591,f97]) ).

fof(f598,plain,
    ( sk_c7 != multiply(sk_c5,sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f595]) ).

fof(f599,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f598,f522]) ).

fof(f600,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f599]) ).

fof(f602,plain,
    ( ! [X0] :
        ( inverse(X0) != sk_c7
        | sk_c7 != multiply(X0,sk_c7) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f83,f444]) ).

fof(f604,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c5,sk_c7)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f602,f97]) ).

fof(f607,plain,
    ( sk_c7 != multiply(sk_c5,sk_c7)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f604]) ).

fof(f608,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f607,f522]) ).

fof(f609,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f608]) ).

fof(f611,plain,
    ( sk_c7 != multiply(sk_c7,sk_c8)
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f87,f490]) ).

fof(f614,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f611,f444]) ).

fof(f623,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f574,f569]) ).

fof(f624,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f623,f614]) ).

fof(f625,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f624]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f88]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_7 ),
    inference(sat_conversion,[],[f93]) ).

cnf(s3,plain,
    ( spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f98]) ).

cnf(s4,plain,
    ( spl0_7
    | spl0_9 ),
    inference(sat_conversion,[],[f103]) ).

cnf(s5,plain,
    ( spl0_7
    | spl0_10 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s6,plain,
    ( spl0_7
    | spl0_11 ),
    inference(sat_conversion,[],[f113]) ).

cnf(s7,plain,
    ( spl0_1
    | spl0_12 ),
    inference(sat_conversion,[],[f118]) ).

cnf(s8,plain,
    ( spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f119]) ).

cnf(s9,plain,
    ( spl0_9
    | spl0_12 ),
    inference(sat_conversion,[],[f120]) ).

cnf(s10,plain,
    ( spl0_10
    | spl0_12 ),
    inference(sat_conversion,[],[f121]) ).

cnf(s11,plain,
    ( spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f122]) ).

cnf(s12,plain,
    ( spl0_1
    | spl0_13 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s13,plain,
    ( spl0_8
    | spl0_13 ),
    inference(sat_conversion,[],[f128]) ).

cnf(s14,plain,
    ( spl0_9
    | spl0_13 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s15,plain,
    ( spl0_10
    | spl0_13 ),
    inference(sat_conversion,[],[f130]) ).

cnf(s16,plain,
    ( spl0_11
    | spl0_13 ),
    inference(sat_conversion,[],[f131]) ).

cnf(s17,plain,
    ( spl0_1
    | spl0_14 ),
    inference(sat_conversion,[],[f136]) ).

cnf(s18,plain,
    ( spl0_8
    | spl0_14 ),
    inference(sat_conversion,[],[f137]) ).

cnf(s19,plain,
    ( spl0_9
    | spl0_14 ),
    inference(sat_conversion,[],[f138]) ).

cnf(s20,plain,
    ( spl0_10
    | spl0_14 ),
    inference(sat_conversion,[],[f139]) ).

cnf(s21,plain,
    ( spl0_11
    | spl0_14 ),
    inference(sat_conversion,[],[f140]) ).

cnf(s22,plain,
    ( spl0_1
    | spl0_15 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s23,plain,
    ( spl0_8
    | spl0_15 ),
    inference(sat_conversion,[],[f146]) ).

cnf(s24,plain,
    ( spl0_9
    | spl0_15 ),
    inference(sat_conversion,[],[f147]) ).

cnf(s25,plain,
    ( spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f148]) ).

cnf(s26,plain,
    ( spl0_11
    | spl0_15 ),
    inference(sat_conversion,[],[f149]) ).

cnf(s27,plain,
    ( spl0_1
    | spl0_6 ),
    inference(sat_conversion,[],[f150]) ).

cnf(s28,plain,
    ( spl0_6
    | spl0_8 ),
    inference(sat_conversion,[],[f151]) ).

cnf(s29,plain,
    ( spl0_6
    | spl0_9 ),
    inference(sat_conversion,[],[f152]) ).

cnf(s30,plain,
    ( spl0_6
    | spl0_10 ),
    inference(sat_conversion,[],[f153]) ).

cnf(s31,plain,
    ( spl0_6
    | spl0_11 ),
    inference(sat_conversion,[],[f154]) ).

cnf(s33,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s34,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s38,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s40,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s42,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s46,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s49,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_17 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s51,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s52,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s53,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s54,plain,
    spl0_1,
    inference(rat,[],[s33,s2,s7,s12,s17,s22,s27]) ).

cnf(s55,plain,
    spl0_6,
    inference(rat,[],[s53,s49,s28,s29,s30,s31,s54]) ).

cnf(s56,plain,
    ( ~ spl0_11
    | ~ spl0_10
    | ~ spl0_8
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(rat,[],[s49,s52,s55,s54]) ).

cnf(s57,plain,
    ( spl0_11
    | ~ spl0_7
    | ~ spl0_5 ),
    inference(rat,[],[s40,s11,s16,s21,s26]) ).

cnf(s58,plain,
    ( spl0_10
    | ~ spl0_7
    | ~ spl0_5 ),
    inference(rat,[],[s40,s10,s15,s20,s25]) ).

cnf(s59,plain,
    ( spl0_9
    | ~ spl0_7
    | ~ spl0_5 ),
    inference(rat,[],[s40,s9,s14,s19,s24]) ).

cnf(s60,plain,
    ( ~ spl0_7
    | ~ spl0_5 ),
    inference(rat,[],[s40,s8,s13,s18,s23,s56,s59,s58,s57]) ).

cnf(s61,plain,
    ~ spl0_5,
    inference(rat,[],[s56,s3,s4,s5,s6,s60]) ).

cnf(s62,plain,
    ( spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s38,s6,s11,s16]) ).

cnf(s63,plain,
    ( spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s38,s5,s10,s15]) ).

cnf(s64,plain,
    ( spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s38,s4,s9,s14]) ).

cnf(s65,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(rat,[],[s38,s3,s8,s13,s46,s54]) ).

cnf(s66,plain,
    ~ spl0_4,
    inference(rat,[],[s65,s64,s63,s62]) ).

cnf(s67,plain,
    ( ~ spl0_11
    | ~ spl0_10
    | ~ spl0_8
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s49,s51,s55,s54]) ).

cnf(s68,plain,
    ( spl0_11
    | ~ spl0_3 ),
    inference(rat,[],[s36,s6,s11,s16,s21,s26]) ).

cnf(s69,plain,
    ( spl0_10
    | ~ spl0_3 ),
    inference(rat,[],[s36,s5,s10,s15,s20,s25]) ).

cnf(s70,plain,
    ( spl0_9
    | ~ spl0_3 ),
    inference(rat,[],[s36,s4,s9,s14,s19,s24]) ).

cnf(s71,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_10
    | ~ spl0_3 ),
    inference(rat,[],[s36,s3,s8,s13,s18,s23,s67]) ).

cnf(s72,plain,
    ~ spl0_3,
    inference(rat,[],[s71,s70,s69,s68]) ).

cnf(s73,plain,
    spl0_2,
    inference(rat,[],[s1,s54,s55,s61,s66,s72]) ).

cnf(s74,plain,
    spl0_9,
    inference(rat,[],[s34,s4,s9,s14,s19,s24,s73,s55]) ).

cnf(s75,plain,
    ~ spl0_8,
    inference(rat,[],[s42,s73,s74]) ).

cnf(s76,plain,
    spl0_15,
    inference(rat,[],[s23,s75]) ).

cnf(s77,plain,
    spl0_14,
    inference(rat,[],[s18,s75]) ).

cnf(s78,plain,
    spl0_13,
    inference(rat,[],[s13,s75]) ).

cnf(s79,plain,
    spl0_12,
    inference(rat,[],[s8,s75]) ).

cnf(s80,plain,
    spl0_7,
    inference(rat,[],[s3,s75]) ).

cnf(s81,plain,
    $false,
    inference(rat,[],[s34,s76,s77,s78,s55,s73,s79,s80]) ).

fof(f626,plain,
    $false,
    inference(avatar_sat_refutation,[],[s81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP320-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n008.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 09:51:10 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 2.59/1.32  % (987915)Input is clausal, will run a generic CNF schedule.
% 2.59/1.32  % (987926)dis-21_1_sil=8000:lcm=predicate:random_seed=1210595178: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)
% 2.59/1.32  % (987926)Refutation not found, incomplete strategy
% 2.59/1.32  % (987926)------------------------------
% 2.59/1.32  % (987926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32  % (987926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32  % (987926)CaDiCaL version: 2.1.3
% 2.59/1.32  % (987926)Termination reason: Refutation not found, incomplete strategy
% 2.59/1.32  % (987926)Time elapsed: 0.001 s
% 2.59/1.32  % (987926)Peak memory usage: 88 MB
% 2.59/1.32  % (987926)Instructions burned: 2 (million)
% 2.59/1.32  % (987922)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1716241996:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.59/1.32  % (987921)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3695713579:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.59/1.32  % (987925)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2393484717:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.59/1.32  % (987924)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2847738646:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.59/1.32  % (987923)lrs+10_1_sil=8000:sp=occurrence:random_seed=231041655:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.59/1.32  % (987920)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=2997836096:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.59/1.32  % (987925)First to succeed.
% 2.59/1.32  % (987925)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-987915"
% 2.59/1.32  % (987923)Instruction limit reached! 
% 2.59/1.32  % (987923)------------------------------
% 2.59/1.32  % (987923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32  % (987923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32  % (987923)CaDiCaL version: 2.1.3
% 2.59/1.32  % (987923)Termination reason: Instruction limit
% 2.59/1.32  % (987923)Termination phase: Saturation
% 2.59/1.32  % (987923)Time elapsed: 0.051 s
% 2.59/1.32  % (987923)Peak memory usage: 88 MB
% 2.59/1.32  % (987923)Instructions burned: 109 (million)
% 2.59/1.32  % (987924)Instruction limit reached! 
% 2.59/1.32  % (987924)------------------------------
% 2.59/1.32  % (987924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32  % (987924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32  % (987924)CaDiCaL version: 2.1.3
% 2.59/1.32  % (987924)Termination reason: Instruction limit
% 2.59/1.32  % (987924)Termination phase: Saturation
% 2.59/1.32  % (987924)Time elapsed: 0.066 s
% 2.59/1.32  % (987924)Peak memory usage: 89 MB
% 2.59/1.32  % (987924)Instructions burned: 115 (million)
% 2.59/1.32  % (987926)------------------------------
% 2.59/1.32  % (987926)------------------------------
% 2.59/1.32  % (987934)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=791989703:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.59/1.32  % (987935)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4235480032: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)
% 2.59/1.32  % (987936)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2076555168:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.59/1.32  % (987935)Refutation not found, incomplete strategy
% 2.59/1.32  % (987935)------------------------------
% 2.59/1.32  % (987935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32  % (987935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32  % (987935)CaDiCaL version: 2.1.3
% 2.59/1.32  % (987935)Termination reason: Refutation not found, incomplete strategy
% 2.59/1.32  % (987935)Time elapsed: 0.004 s
% 2.59/1.32  % (987935)Peak memory usage: 88 MB
% 2.59/1.32  % (987935)Instructions burned: 4 (million)
% 2.59/1.32  % (987936)Refutation not found, incomplete strategy
% 2.59/1.32  % (987936)------------------------------
% 2.59/1.32  % (987936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32  % (987936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32  % (987936)CaDiCaL version: 2.1.3
% 2.59/1.32  % (987936)Termination reason: Refutation not found, incomplete strategy
% 2.59/1.32  % (987936)Time elapsed: 0.001 s
% 2.59/1.32  % (987936)Peak memory usage: 88 MB
% 2.59/1.32  % (987936)Instructions burned: 3 (million)
% 2.59/1.32  % (987934)Instruction limit reached! 
% 2.59/1.32  % (987934)------------------------------
% 2.59/1.32  % (987934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32  % (987934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32  % (987934)CaDiCaL version: 2.1.3
% 2.59/1.32  % (987934)Termination reason: Instruction limit
% 2.59/1.32  % (987934)Termination phase: Saturation
% 2.59/1.32  % (987934)Time elapsed: 0.066 s
% 2.59/1.32  % (987934)Peak memory usage: 89 MB
% 2.59/1.32  % (987934)Instructions burned: 145 (million)
% 2.59/1.32  % (987925)Refutation found. Thanks to Tanya!
% 2.59/1.32  % SZS status Unsatisfiable for theBenchmark
% 2.59/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.52  % (987925)------------------------------
% 3.85/1.52  % (987925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.52  % (987925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.52  % (987925)CaDiCaL version: 2.1.3
% 3.85/1.52  % (987925)Termination reason: Refutation
% 3.85/1.52  % (987925)Time elapsed: 0.016 s
% 3.85/1.52  % (987925)Peak memory usage: 89 MB
% 3.85/1.52  % (987925)Instructions burned: 24 (million)
% 3.85/1.52  % (987925)------------------------------
% 3.85/1.52  % (987925)------------------------------
% 3.85/1.52  % (987915)Success in time 0.46 s
% 3.85/1.52  % Vampire exiting
%------------------------------------------------------------------------------