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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP277-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 10:17:21 AM UTC 2026

% Result   : Unsatisfiable 0.10s 0.48s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  229 (  21 unt;  13 def)
%            Number of atoms       :  648 ( 219 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  781 ( 362   ~; 406   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  14 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

fof(f2,axiom,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',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/Axioms/GRP004-0.ax',associativity) ).

fof(f5,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_1) ).

fof(f6,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f7,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f6]) ).

fof(f8,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f9,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f8]) ).

fof(f10,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f11,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c6 = multiply(sk_c3,sk_c4) ),
    inference(reorient_equations,[],[f10]) ).

fof(f12,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f13,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c4 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f12]) ).

fof(f16,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f17,plain,
    ( sk_c7 = inverse(sk_c1)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(reorient_equations,[],[f16]) ).

fof(f18,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f19,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f18]) ).

fof(f20,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f21,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f20]) ).

fof(f22,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c3,sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f23,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c3,sk_c4) ),
    inference(reorient_equations,[],[f22]) ).

fof(f24,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f25,plain,
    ( sk_c7 = inverse(sk_c1)
    | sk_c4 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f24]) ).

fof(f28,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f29,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(reorient_equations,[],[f28]) ).

fof(f30,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f31,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f30]) ).

fof(f32,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f33,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f32]) ).

fof(f34,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c3,sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f35,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c6 = multiply(sk_c3,sk_c4) ),
    inference(reorient_equations,[],[f34]) ).

fof(f36,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f37,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c4 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f36]) ).

fof(f40,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f41,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(reorient_equations,[],[f40]) ).

fof(f42,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f43,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f42]) ).

fof(f44,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f45,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f44]) ).

fof(f46,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c3,sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f47,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c6 = multiply(sk_c3,sk_c4) ),
    inference(reorient_equations,[],[f46]) ).

fof(f48,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c4 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f48]) ).

fof(f52,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( multiply(X0,sk_c7) != sk_c6
      | inverse(X0) != sk_c7
      | multiply(sk_c7,sk_c5) != sk_c6
      | multiply(sk_c5,sk_c6) != sk_c7
      | multiply(sk_c6,sk_c7) != sk_c5
      | inverse(X1) != sk_c7
      | multiply(X1,sk_c6) != sk_c7
      | multiply(X2,X3) != sk_c6
      | inverse(X2) != X3
      | multiply(X3,sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f53,plain,
    ! [X2,X3,X0,X1] :
      ( sk_c6 != multiply(X0,sk_c7)
      | inverse(X0) != sk_c7
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c7 != multiply(sk_c5,sk_c6)
      | multiply(sk_c6,sk_c7) != sk_c5
      | sk_c7 != inverse(X1)
      | sk_c7 != multiply(X1,sk_c6)
      | sk_c6 != multiply(X2,X3)
      | inverse(X2) != X3
      | sk_c6 != multiply(X3,sk_c7) ),
    inference(reorient_equations,[],[f52]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( sk_c6 != multiply(X0,sk_c7)
      | inverse(X0) != sk_c7
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c7 != multiply(sk_c5,sk_c6)
      | multiply(sk_c6,sk_c7) != sk_c5
      | sk_c7 != inverse(X1)
      | sk_c7 != multiply(X1,sk_c6)
      | sk_c6 != multiply(X2,inverse(X2))
      | sk_c6 != multiply(inverse(X2),sk_c7) ),
    inference(equality_resolution,[],[f53]) ).

fof(f56,definition,
    ( spl0_1
  <=> ! [X2] :
        ( sk_c6 != multiply(X2,inverse(X2))
        | sk_c6 != multiply(inverse(X2),sk_c7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f57,plain,
    ( ! [X2] :
        ( sk_c6 != multiply(X2,inverse(X2))
        | sk_c6 != multiply(inverse(X2),sk_c7) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f59,definition,
    ( spl0_2
  <=> ! [X1] :
        ( sk_c7 != inverse(X1)
        | sk_c7 != multiply(X1,sk_c6) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f60,plain,
    ( ! [X1] :
        ( sk_c7 != multiply(X1,sk_c6)
        | sk_c7 != inverse(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f62,definition,
    ( spl0_3
  <=> multiply(sk_c6,sk_c7) = sk_c5 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f63,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f64,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | spl0_3 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f66,definition,
    ( spl0_4
  <=> sk_c7 = multiply(sk_c5,sk_c6) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f67,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f68,plain,
    ( sk_c7 != multiply(sk_c5,sk_c6)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f70,definition,
    ( spl0_5
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f71,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f72,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f74,definition,
    ( spl0_6
  <=> ! [X0] :
        ( sk_c6 != multiply(X0,sk_c7)
        | inverse(X0) != sk_c7 ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f75,plain,
    ( ! [X0] :
        ( sk_c6 != multiply(X0,sk_c7)
        | inverse(X0) != sk_c7 )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f76,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f54,f74,f70,f66,f62,f59,f56]) ).

fof(f83,definition,
    ( spl0_8
  <=> sk_c4 = inverse(sk_c3) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f85,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f86,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f49,f66,f83]) ).

fof(f88,definition,
    ( spl0_9
  <=> sk_c6 = multiply(sk_c3,sk_c4) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f90,plain,
    ( sk_c6 = multiply(sk_c3,sk_c4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f91,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f47,f66,f88]) ).

fof(f93,definition,
    ( spl0_10
  <=> sk_c7 = multiply(sk_c2,sk_c6) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f95,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f96,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f45,f66,f93]) ).

fof(f98,definition,
    ( spl0_11
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f100,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f101,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f43,f66,f98]) ).

fof(f102,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f41,f66,f62]) ).

fof(f104,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f37,f70,f83]) ).

fof(f105,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f35,f70,f88]) ).

fof(f106,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f33,f70,f93]) ).

fof(f107,plain,
    ( spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f31,f70,f98]) ).

fof(f108,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f29,f70,f62]) ).

fof(f110,definition,
    ( spl0_12
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f112,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f114,plain,
    ( spl0_8
    | spl0_12 ),
    inference(avatar_split_clause,[],[f25,f110,f83]) ).

fof(f115,plain,
    ( spl0_9
    | spl0_12 ),
    inference(avatar_split_clause,[],[f23,f110,f88]) ).

fof(f116,plain,
    ( spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f21,f110,f93]) ).

fof(f117,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f19,f110,f98]) ).

fof(f118,plain,
    ( spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f17,f110,f62]) ).

fof(f120,definition,
    ( spl0_13
  <=> multiply(sk_c1,sk_c7) = sk_c6 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f122,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f124,plain,
    ( spl0_8
    | spl0_13 ),
    inference(avatar_split_clause,[],[f13,f120,f83]) ).

fof(f125,plain,
    ( spl0_9
    | spl0_13 ),
    inference(avatar_split_clause,[],[f11,f120,f88]) ).

fof(f126,plain,
    ( spl0_10
    | spl0_13 ),
    inference(avatar_split_clause,[],[f9,f120,f93]) ).

fof(f127,plain,
    ( spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f7,f120,f98]) ).

fof(f128,plain,
    ( spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f5,f120,f62]) ).

fof(f129,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f85]) ).

fof(f130,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f100]) ).

fof(f132,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f4,f3]) ).

fof(f136,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f4,f95]) ).

fof(f139,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f132,f1]) ).

fof(f141,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f4,f129]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f141,f1]) ).

fof(f143,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f4,f130]) ).

fof(f144,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f143,f1]) ).

fof(f145,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f142,f90]) ).

fof(f157,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f144,f95]) ).

fof(f163,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c5)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f136,f63]) ).

fof(f167,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f163,f157]) ).

fof(f170,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f144,f167]) ).

fof(f189,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f139,f3]) ).

fof(f191,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_11 ),
    inference(superposition,[],[f139,f144]) ).

fof(f197,plain,
    ! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
    inference(superposition,[],[f139,f139]) ).

fof(f201,plain,
    ( sk_c6 = multiply(inverse(sk_c4),sk_c4)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f139,f145]) ).

fof(f212,plain,
    ( identity = sk_c6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f201,f3]) ).

fof(f216,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(forward_demodulation,[],[f189,f197]) ).

fof(f217,plain,
    ( ! [X0] : multiply(X0,sk_c6) = X0
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f216,f212]) ).

fof(f231,plain,
    ( multiply(sk_c2,sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f136,f217]) ).

fof(f232,plain,
    ( sk_c7 != sk_c5
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f68,f217]) ).

fof(f233,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f95,f217]) ).

fof(f239,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f231,f170]) ).

fof(f244,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f239,f95]) ).

fof(f245,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f244,f232]) ).

fof(f246,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f245]) ).

fof(f249,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f100,f233]) ).

fof(f253,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f167,f233]) ).

fof(f254,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f253,f72]) ).

fof(f255,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f254]) ).

fof(f263,plain,
    ( sk_c6 != multiply(sk_c7,sk_c7)
    | sk_c6 != multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f57,f100]) ).

fof(f264,plain,
    ( identity != sk_c6
    | sk_c6 != multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f57,f3]) ).

fof(f311,plain,
    ( identity != sk_c6
    | sk_c7 != inverse(inverse(sk_c7))
    | ~ spl0_6 ),
    inference(superposition,[],[f75,f3]) ).

fof(f314,plain,
    ( sk_c7 != inverse(inverse(sk_c7))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f311,f212]) ).

fof(f318,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f314,f249]) ).

fof(f325,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f318,f249]) ).

fof(f326,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f332,definition,
    ( spl0_15
  <=> identity = sk_c6 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f333,plain,
    ( identity = sk_c6
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f355,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f112]) ).

fof(f360,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f139,f71]) ).

fof(f361,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f4,f71]) ).

fof(f362,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f360,f191]) ).

fof(f363,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f362,f95]) ).

fof(f364,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f75,f122]) ).

fof(f365,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | ~ spl0_13 ),
    inference(superposition,[],[f139,f122]) ).

fof(f366,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f4,f122]) ).

fof(f367,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f364]) ).

fof(f368,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f365,f112]) ).

fof(f369,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f367,f112]) ).

fof(f370,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f374,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f167,f363]) ).

fof(f376,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f60,f95]) ).

fof(f381,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f376]) ).

fof(f393,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f381,f100]) ).

fof(f394,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f393]) ).

fof(f397,plain,
    ( sk_c6 != multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f263,f157]) ).

fof(f409,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f397,f374]) ).

fof(f410,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f409]) ).

fof(f413,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f139,f355]) ).

fof(f434,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f361,f67]) ).

fof(f448,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f139,f368]) ).

fof(f450,plain,
    ( identity = sk_c6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f448,f3]) ).

fof(f452,plain,
    ( spl0_15
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f450,f120,f110,f332]) ).

fof(f453,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_15 ),
    inference(superposition,[],[f1,f333]) ).

fof(f470,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f366,f368]) ).

fof(f471,plain,
    ( multiply(sk_c6,sk_c5) = multiply(sk_c1,sk_c6)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f366,f71]) ).

fof(f535,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f471,f453]) ).

fof(f536,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c7,sk_c7)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f470,f434]) ).

fof(f544,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f536,f122]) ).

fof(f595,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f413,f216]) ).

fof(f665,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c1,sk_c6)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f366,f544]) ).

fof(f670,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f665,f535]) ).

fof(f672,plain,
    ( $false
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f670,f64]) ).

fof(f673,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f672]) ).

fof(f674,plain,
    ( sk_c6 != multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f264,f333]) ).

fof(f675,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f63,f453]) ).

fof(f678,plain,
    ( sk_c6 != multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f674,f595]) ).

fof(f680,plain,
    ( identity != sk_c6
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f678,f355]) ).

fof(f683,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f680,f333]) ).

fof(f684,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f683]) ).

fof(f701,plain,
    ( sk_c7 != sk_c5
    | sk_c7 != inverse(inverse(sk_c7))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f360]) ).

fof(f725,plain,
    ( sk_c7 != inverse(inverse(sk_c7))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f701,f675]) ).

fof(f729,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f725,f595]) ).

fof(f730,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f729,f112]) ).

fof(f731,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f730]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f76]) ).

cnf(s3,plain,
    ( spl0_4
    | spl0_8 ),
    inference(sat_conversion,[],[f86]) ).

cnf(s4,plain,
    ( spl0_4
    | spl0_9 ),
    inference(sat_conversion,[],[f91]) ).

cnf(s5,plain,
    ( spl0_4
    | spl0_10 ),
    inference(sat_conversion,[],[f96]) ).

cnf(s6,plain,
    ( spl0_4
    | spl0_11 ),
    inference(sat_conversion,[],[f101]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f102]) ).

cnf(s9,plain,
    ( spl0_5
    | spl0_8 ),
    inference(sat_conversion,[],[f104]) ).

cnf(s10,plain,
    ( spl0_5
    | spl0_9 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s11,plain,
    ( spl0_5
    | spl0_10 ),
    inference(sat_conversion,[],[f106]) ).

cnf(s12,plain,
    ( spl0_5
    | spl0_11 ),
    inference(sat_conversion,[],[f107]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_5 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s15,plain,
    ( spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f114]) ).

cnf(s16,plain,
    ( spl0_9
    | spl0_12 ),
    inference(sat_conversion,[],[f115]) ).

cnf(s17,plain,
    ( spl0_10
    | spl0_12 ),
    inference(sat_conversion,[],[f116]) ).

cnf(s18,plain,
    ( spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f117]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_12 ),
    inference(sat_conversion,[],[f118]) ).

cnf(s21,plain,
    ( spl0_8
    | spl0_13 ),
    inference(sat_conversion,[],[f124]) ).

cnf(s22,plain,
    ( spl0_9
    | spl0_13 ),
    inference(sat_conversion,[],[f125]) ).

cnf(s23,plain,
    ( spl0_10
    | spl0_13 ),
    inference(sat_conversion,[],[f126]) ).

cnf(s24,plain,
    ( spl0_11
    | spl0_13 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_13 ),
    inference(sat_conversion,[],[f128]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s36,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s40,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s42,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s47,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s48,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | spl0_15 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s54,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s56,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s59,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s60,plain,
    spl0_3,
    inference(rat,[],[s54,s48,s7,s13,s19,s25]) ).

cnf(s62,plain,
    ( spl0_13
    | ~ spl0_6 ),
    inference(rat,[],[s36,s21,s22,s23,s24]) ).

cnf(s63,plain,
    ( ~ spl0_13
    | ~ spl0_6 ),
    inference(rat,[],[s36,s15,s16,s17,s18,s40]) ).

cnf(s64,plain,
    ~ spl0_6,
    inference(rat,[],[s63,s62]) ).

cnf(s65,plain,
    spl0_5,
    inference(rat,[],[s27,s9,s10,s11,s12,s60]) ).

cnf(s66,plain,
    spl0_4,
    inference(rat,[],[s26,s3,s4,s5,s6,s60]) ).

cnf(s67,plain,
    ( spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s42,s23,s24]) ).

cnf(s68,plain,
    ( ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s48,s59,s67,s65,s60]) ).

cnf(s69,plain,
    ~ spl0_2,
    inference(rat,[],[s42,s17,s18,s68]) ).

cnf(s70,plain,
    spl0_1,
    inference(rat,[],[s1,s64,s65,s60,s66,s69]) ).

cnf(s71,plain,
    spl0_13,
    inference(rat,[],[s47,s23,s24,s65,s60,s70]) ).

cnf(s72,plain,
    ~ spl0_12,
    inference(rat,[],[s48,s56,s71,s70]) ).

cnf(s73,plain,
    spl0_11,
    inference(rat,[],[s18,s72]) ).

cnf(s74,plain,
    spl0_10,
    inference(rat,[],[s17,s72]) ).

cnf(s78,plain,
    $false,
    inference(rat,[],[s47,s70,s60,s65,s73,s74]) ).

fof(f732,plain,
    $false,
    inference(avatar_sat_refutation,[],[s78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP277-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n003.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 09:46:11 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.47  % (259098)Will run a generic schedule for satisfiability detection.
% 0.10/0.47  % (259109)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2102065633:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.47  % (259104)% WARNING: option uhcvi not known.
% 0.10/0.47  % (259103)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3990974353_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.47  % (259105)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=632502811:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.47  % (259106)dis+10_1_sil=32000:sp=arity:random_seed=321105161:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.47  % (259107)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1665153684:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.47  % (259108)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1816391399:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.47  % (259104)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=758303722:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.48  % TRYING [1]
% 0.10/0.48  % TRYING [2]
% 0.10/0.48  % TRYING [3]
% 0.10/0.48  % TRYING [4]
% 0.10/0.48  % (259107) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-259098-259107"...
% 0.10/0.48  % TRYING [5]
% 0.10/0.48  % (259107)...printing done.
% 0.10/0.48  % (259107)Refutation found. Thanks to Tanya!
% 0.10/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.10/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.48  % (259107)------------------------------
% 0.10/0.48  % (259107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.48  % (259107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.48  % (259107)CaDiCaL version: 2.1.3
% 0.10/0.48  % (259107)Termination reason: Refutation
% 0.10/0.48  % (259107)Time elapsed: 0.016 s
% 0.10/0.48  % (259107)Peak memory usage: 12 MB
% 0.10/0.48  % (259107)Instructions burned: 23 (million)
% 0.10/0.48  % (259098)Success in time 0.053 s
% 0.10/0.48  % Vampire exiting
%------------------------------------------------------------------------------