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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : BOO014-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 09:35:53 AM UTC 2026

% Result   : Unsatisfiable 10.27s 2.08s
% Output   : Refutation 10.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  200 ( 142 unt;  15 def)
%            Number of atoms       :  294 ( 171 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  182 (  88   ~;  84   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   12 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  209 (   0 sgn 209   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f4,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).

fof(f5,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).

fof(f6,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).

fof(f7,axiom,
    ! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).

fof(f8,plain,
    ! [X0] : multiplicative_identity = add(X0,inverse(X0)),
    inference(reorient_equations,[],[f7]) ).

fof(f9,axiom,
    ! [X0] : multiply(X0,inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).

fof(f10,plain,
    ! [X0] : additive_identity = multiply(X0,inverse(X0)),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    inverse(add(a,b)) != multiply(inverse(a),inverse(b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_inverse_is_d) ).

fof(f12,definition,
    sF0 = add(a,b),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f13,plain,
    add(a,b) = sF0,
    inference(reorient_equations,[],[f12]) ).

fof(f14,definition,
    sF1 = inverse(sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f15,plain,
    inverse(sF0) = sF1,
    inference(reorient_equations,[],[f14]) ).

fof(f16,definition,
    sF2 = inverse(a),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f17,plain,
    inverse(a) = sF2,
    inference(reorient_equations,[],[f16]) ).

fof(f18,definition,
    sF3 = inverse(b),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f19,plain,
    inverse(b) = sF3,
    inference(reorient_equations,[],[f18]) ).

fof(f20,definition,
    sF4 = multiply(sF2,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f21,plain,
    multiply(sF2,sF3) = sF4,
    inference(reorient_equations,[],[f20]) ).

fof(f22,plain,
    sF1 != sF4,
    inference(definition_folding,[],[f11,f21,f19,f17,f15,f13]) ).

fof(f24,definition,
    ( spl5_1
  <=> add(a,b) = sF0 ),
    introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).

fof(f26,plain,
    ( add(a,b) = sF0
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f27,plain,
    spl5_1,
    inference(avatar_split_clause,[],[f13,f24]) ).

fof(f29,definition,
    ( spl5_2
  <=> inverse(sF0) = sF1 ),
    introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).

fof(f31,plain,
    ( inverse(sF0) = sF1
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f32,plain,
    spl5_2,
    inference(avatar_split_clause,[],[f15,f29]) ).

fof(f34,definition,
    ( spl5_3
  <=> sF1 = sF4 ),
    introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).

fof(f36,plain,
    ( sF1 != sF4
    | spl5_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f37,plain,
    ~ spl5_3,
    inference(avatar_split_clause,[],[f22,f34]) ).

fof(f39,definition,
    ( spl5_4
  <=> multiply(sF2,sF3) = sF4 ),
    introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).

fof(f41,plain,
    ( multiply(sF2,sF3) = sF4
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f42,plain,
    spl5_4,
    inference(avatar_split_clause,[],[f21,f39]) ).

fof(f46,plain,
    ! [X0] : add(additive_identity,X0) = X0,
    inference(superposition,[],[f1,f5]) ).

fof(f50,plain,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    inference(superposition,[],[f2,f6]) ).

fof(f60,definition,
    ( spl5_5
  <=> inverse(b) = sF3 ),
    introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).

fof(f62,plain,
    ( inverse(b) = sF3
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f63,plain,
    spl5_5,
    inference(avatar_split_clause,[],[f19,f60]) ).

fof(f65,definition,
    ( spl5_6
  <=> inverse(a) = sF2 ),
    introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).

fof(f67,plain,
    ( inverse(a) = sF2
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f68,plain,
    spl5_6,
    inference(avatar_split_clause,[],[f17,f65]) ).

fof(f78,plain,
    ( multiplicative_identity = add(a,sF2)
    | ~ spl5_6 ),
    inference(superposition,[],[f8,f67]) ).

fof(f81,plain,
    ( multiplicative_identity = add(sF2,a)
    | ~ spl5_6 ),
    inference(forward_demodulation,[],[f78,f1]) ).

fof(f87,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
    inference(superposition,[],[f3,f8]) ).

fof(f92,plain,
    ! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X0,X1),X0),
    inference(superposition,[],[f3,f5]) ).

fof(f93,plain,
    ! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
    inference(superposition,[],[f3,f8]) ).

fof(f104,plain,
    ! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
    inference(forward_demodulation,[],[f93,f6]) ).

fof(f105,plain,
    ! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X1,additive_identity)),
    inference(forward_demodulation,[],[f92,f2]) ).

fof(f108,plain,
    ! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f87,f50]) ).

fof(f116,plain,
    ! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
    inference(superposition,[],[f104,f50]) ).

fof(f125,plain,
    ! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
    inference(forward_demodulation,[],[f116,f8]) ).

fof(f132,plain,
    ! [X0,X1] : add(additive_identity,multiply(X0,X1)) = multiply(X0,add(inverse(X0),X1)),
    inference(superposition,[],[f4,f10]) ).

fof(f138,plain,
    ! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(multiply(X0,X1),X0),
    inference(superposition,[],[f4,f6]) ).

fof(f139,plain,
    ! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
    inference(superposition,[],[f4,f10]) ).

fof(f159,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X0,add(X1,inverse(X0))),
    inference(forward_demodulation,[],[f139,f5]) ).

fof(f160,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,multiplicative_identity)),
    inference(forward_demodulation,[],[f138,f1]) ).

fof(f162,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X0,add(inverse(X0),X1)),
    inference(forward_demodulation,[],[f132,f46]) ).

fof(f163,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
    inference(forward_demodulation,[],[f160,f125]) ).

fof(f164,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
    inference(forward_demodulation,[],[f163,f6]) ).

fof(f173,plain,
    ! [X0] : multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
    inference(superposition,[],[f159,f46]) ).

fof(f186,plain,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    inference(forward_demodulation,[],[f173,f10]) ).

fof(f190,plain,
    ! [X0,X1] : add(X0,additive_identity) = multiply(X0,add(X0,X1)),
    inference(backward_demodulation,[],[f105,f186]) ).

fof(f191,plain,
    ! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
    inference(forward_demodulation,[],[f190,f5]) ).

fof(f195,plain,
    ! [X0,X1] : multiply(X1,add(X0,X1)) = X1,
    inference(superposition,[],[f191,f1]) ).

fof(f201,plain,
    ( a = multiply(a,sF0)
    | ~ spl5_1 ),
    inference(superposition,[],[f191,f26]) ).

fof(f211,plain,
    ( a = multiply(sF0,a)
    | ~ spl5_1 ),
    inference(forward_demodulation,[],[f201,f2]) ).

fof(f234,plain,
    ! [X0,X1] : add(X1,multiply(X0,X1)) = X1,
    inference(superposition,[],[f164,f2]) ).

fof(f246,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),X0),
    inference(superposition,[],[f195,f164]) ).

fof(f253,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X0,X1)),
    inference(forward_demodulation,[],[f246,f2]) ).

fof(f256,definition,
    ( spl5_7
  <=> a = multiply(sF0,a) ),
    introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).

fof(f258,plain,
    ( a = multiply(sF0,a)
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f259,plain,
    ( spl5_7
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f211,f24,f256]) ).

fof(f359,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f162,f164]) ).

fof(f361,plain,
    ! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
    inference(superposition,[],[f162,f8]) ).

fof(f381,plain,
    ! [X0] : multiply(X0,inverse(inverse(X0))) = X0,
    inference(forward_demodulation,[],[f361,f6]) ).

fof(f383,plain,
    ! [X0,X1] : additive_identity = multiply(X0,multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f359,f10]) ).

fof(f417,plain,
    ! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
    inference(superposition,[],[f234,f381]) ).

fof(f436,plain,
    ! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
    inference(forward_demodulation,[],[f417,f1]) ).

fof(f470,plain,
    ! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
    inference(superposition,[],[f108,f10]) ).

fof(f490,plain,
    ! [X0] : add(X0,additive_identity) = inverse(inverse(X0)),
    inference(forward_demodulation,[],[f470,f436]) ).

fof(f499,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f490,f5]) ).

fof(f516,plain,
    ! [X0,X1] : add(inverse(X0),X1) = add(inverse(X0),multiply(X1,X0)),
    inference(superposition,[],[f104,f499]) ).

fof(f518,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),add(X1,X0)),
    inference(superposition,[],[f159,f499]) ).

fof(f519,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),add(X0,X1)),
    inference(superposition,[],[f162,f499]) ).

fof(f606,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X0) = multiply(inverse(multiply(X1,inverse(X0))),add(X0,X1)),
    inference(superposition,[],[f518,f104]) ).

fof(f607,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X0),X1)),X0) = multiply(inverse(multiply(inverse(X0),X1)),add(X0,X1)),
    inference(superposition,[],[f518,f108]) ).

fof(f636,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X0),X1)),X0) = multiply(add(X0,X1),inverse(multiply(inverse(X0),X1))),
    inference(forward_demodulation,[],[f607,f2]) ).

fof(f637,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X0) = multiply(add(X0,X1),inverse(multiply(X1,inverse(X0)))),
    inference(forward_demodulation,[],[f606,f2]) ).

fof(f646,plain,
    ! [X0,X1] : multiply(add(X0,X1),inverse(multiply(inverse(X0),X1))) = multiply(X0,inverse(multiply(inverse(X0),X1))),
    inference(forward_demodulation,[],[f636,f2]) ).

fof(f647,plain,
    ! [X0,X1] : multiply(add(X0,X1),inverse(multiply(X1,inverse(X0)))) = multiply(X0,inverse(multiply(X1,inverse(X0)))),
    inference(forward_demodulation,[],[f637,f2]) ).

fof(f975,plain,
    ! [X0,X1] : add(inverse(add(inverse(X0),X1)),X0) = add(inverse(add(inverse(X0),X1)),multiply(X0,X1)),
    inference(superposition,[],[f516,f162]) ).

fof(f981,plain,
    ( add(inverse(a),sF0) = add(inverse(a),a)
    | ~ spl5_7 ),
    inference(superposition,[],[f516,f258]) ).

fof(f1003,plain,
    ! [X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),add(inverse(X0),X1)),
    inference(superposition,[],[f195,f516]) ).

fof(f1018,plain,
    ( add(a,inverse(a)) = add(inverse(a),sF0)
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f981,f1]) ).

fof(f1023,plain,
    ! [X0,X1] : add(inverse(add(inverse(X0),X1)),X0) = add(multiply(X0,X1),inverse(add(inverse(X0),X1))),
    inference(forward_demodulation,[],[f975,f1]) ).

fof(f1035,plain,
    ( add(a,inverse(a)) = add(sF0,inverse(a))
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1018,f1]) ).

fof(f1040,plain,
    ! [X0,X1] : add(multiply(X0,X1),inverse(add(inverse(X0),X1))) = add(X0,inverse(add(inverse(X0),X1))),
    inference(forward_demodulation,[],[f1023,f1]) ).

fof(f1048,plain,
    ( add(a,sF2) = add(sF0,sF2)
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1035,f67]) ).

fof(f1054,plain,
    ( add(sF2,a) = add(sF0,sF2)
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1048,f1]) ).

fof(f1056,plain,
    ( multiplicative_identity = add(sF0,sF2)
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f1054,f81]) ).

fof(f1058,definition,
    ( spl5_16
  <=> multiplicative_identity = add(sF0,sF2) ),
    introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).

fof(f1060,plain,
    ( multiplicative_identity = add(sF0,sF2)
    | ~ spl5_16 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1061,plain,
    ( spl5_16
    | ~ spl5_6
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f1056,f256,f65,f1058]) ).

fof(f1113,plain,
    ! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X0,X1)),
    inference(superposition,[],[f383,f499]) ).

fof(f1266,plain,
    ( multiply(inverse(a),b) = multiply(inverse(a),sF0)
    | ~ spl5_1 ),
    inference(superposition,[],[f519,f26]) ).

fof(f1267,plain,
    ( multiply(inverse(sF0),sF2) = multiply(inverse(sF0),multiplicative_identity)
    | ~ spl5_16 ),
    inference(superposition,[],[f519,f1060]) ).

fof(f1286,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = multiply(add(X0,X1),inverse(X0)),
    inference(superposition,[],[f2,f519]) ).

fof(f1291,plain,
    ! [X0,X1] : add(X0,X1) = add(add(X0,X1),multiply(inverse(X0),X1)),
    inference(superposition,[],[f234,f519]) ).

fof(f1310,plain,
    ( inverse(sF0) = multiply(inverse(sF0),sF2)
    | ~ spl5_16 ),
    inference(forward_demodulation,[],[f1267,f6]) ).

fof(f1311,plain,
    ( multiply(sF0,inverse(a)) = multiply(inverse(a),b)
    | ~ spl5_1 ),
    inference(forward_demodulation,[],[f1266,f2]) ).

fof(f1336,plain,
    ( inverse(sF0) = multiply(sF2,inverse(sF0))
    | ~ spl5_16 ),
    inference(forward_demodulation,[],[f1310,f2]) ).

fof(f1337,plain,
    ( multiply(sF0,inverse(a)) = multiply(b,inverse(a))
    | ~ spl5_1 ),
    inference(forward_demodulation,[],[f1311,f2]) ).

fof(f1353,plain,
    ( sF1 = multiply(sF2,sF1)
    | ~ spl5_2
    | ~ spl5_16 ),
    inference(forward_demodulation,[],[f1336,f31]) ).

fof(f1354,plain,
    ( multiply(sF0,sF2) = multiply(b,sF2)
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(forward_demodulation,[],[f1337,f67]) ).

fof(f1358,plain,
    ( multiply(sF2,b) = multiply(sF0,sF2)
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(forward_demodulation,[],[f1354,f2]) ).

fof(f1362,definition,
    ( spl5_25
  <=> multiply(sF2,b) = multiply(sF0,sF2) ),
    introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).

fof(f1364,plain,
    ( multiply(sF2,b) = multiply(sF0,sF2)
    | ~ spl5_25 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f1365,plain,
    ( spl5_25
    | ~ spl5_1
    | ~ spl5_6 ),
    inference(avatar_split_clause,[],[f1358,f65,f24,f1362]) ).

fof(f1403,definition,
    ( spl5_27
  <=> sF1 = multiply(sF2,sF1) ),
    introduced(definition,[new_symbols(definition,[spl5_27])],[avatar_definition]) ).

fof(f1405,plain,
    ( sF1 = multiply(sF2,sF1)
    | ~ spl5_27 ),
    inference(avatar_component_clause,[],[f1403]) ).

fof(f1406,plain,
    ( spl5_27
    | ~ spl5_2
    | ~ spl5_16 ),
    inference(avatar_split_clause,[],[f1353,f1058,f29,f1403]) ).

fof(f1914,plain,
    ! [X0,X1] : add(inverse(multiply(X0,X1)),X0) = add(inverse(multiply(X0,X1)),multiply(X0,X1)),
    inference(superposition,[],[f516,f253]) ).

fof(f1919,plain,
    ! [X0,X1] : add(inverse(multiply(X0,X1)),X0) = add(multiply(X0,X1),inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1914,f1]) ).

fof(f1927,plain,
    ! [X0,X1] : multiplicative_identity = add(inverse(multiply(X0,X1)),X0),
    inference(forward_demodulation,[],[f1919,f8]) ).

fof(f1929,plain,
    ! [X0,X1] : multiplicative_identity = add(X0,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1927,f1]) ).

fof(f1944,plain,
    ! [X0,X1] : multiplicative_identity = add(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f1929,f2]) ).

fof(f1983,plain,
    ! [X2,X0,X1] : multiply(add(X0,X1),multiplicative_identity) = add(X0,multiply(X1,inverse(multiply(X0,X2)))),
    inference(superposition,[],[f3,f1929]) ).

fof(f1990,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f162,f1929]) ).

fof(f1997,plain,
    ! [X0,X1] : multiply(X0,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1990,f6]) ).

fof(f2001,plain,
    ! [X2,X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(multiply(X0,X2)))),
    inference(forward_demodulation,[],[f1983,f6]) ).

fof(f2028,plain,
    ! [X0,X1] : multiply(add(X0,X1),inverse(multiply(inverse(X0),X1))) = X0,
    inference(backward_demodulation,[],[f646,f1997]) ).

fof(f2081,plain,
    ! [X0,X1] : multiply(inverse(X0),multiplicative_identity) = multiply(inverse(X0),inverse(multiply(X1,X0))),
    inference(superposition,[],[f519,f1944]) ).

fof(f2084,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(multiply(X1,inverse(X0)))),
    inference(superposition,[],[f162,f1944]) ).

fof(f2091,plain,
    ! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X0)))) = X0,
    inference(forward_demodulation,[],[f2084,f6]) ).

fof(f2093,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(X1,X0))),
    inference(forward_demodulation,[],[f2081,f6]) ).

fof(f2114,plain,
    ! [X0,X1] : multiply(add(X0,X1),inverse(multiply(X1,inverse(X0)))) = X0,
    inference(backward_demodulation,[],[f647,f2091]) ).

fof(f2299,plain,
    ! [X0,X1] : multiply(add(X0,X1),inverse(multiply(inverse(X1),X0))) = X1,
    inference(superposition,[],[f2028,f1]) ).

fof(f2362,plain,
    ! [X0,X1] : additive_identity = multiply(inverse(add(X0,X1)),X0),
    inference(superposition,[],[f1113,f2028]) ).

fof(f2368,plain,
    ! [X0,X1] : additive_identity = multiply(X0,inverse(add(X0,X1))),
    inference(forward_demodulation,[],[f2362,f2]) ).

fof(f2525,plain,
    ! [X0,X1] : add(X0,additive_identity) = add(X0,inverse(add(inverse(X0),X1))),
    inference(superposition,[],[f108,f2368]) ).

fof(f2526,plain,
    ! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f2525,f5]) ).

fof(f2551,plain,
    ! [X0,X1] : add(multiply(X0,X1),inverse(add(inverse(X0),X1))) = X0,
    inference(backward_demodulation,[],[f1040,f2526]) ).

fof(f2662,plain,
    ! [X0,X1] : inverse(add(inverse(X0),X1)) = multiply(inverse(add(inverse(X0),X1)),inverse(multiply(X0,X1))),
    inference(superposition,[],[f2093,f162]) ).

fof(f2741,plain,
    ! [X0,X1] : inverse(add(inverse(X0),X1)) = multiply(inverse(multiply(X0,X1)),inverse(add(inverse(X0),X1))),
    inference(forward_demodulation,[],[f2662,f2]) ).

fof(f2781,plain,
    ! [X0,X1] : add(multiply(X0,X1),inverse(add(inverse(X1),X0))) = X1,
    inference(superposition,[],[f2551,f2]) ).

fof(f2850,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = multiply(inverse(multiply(X0,X1)),inverse(add(inverse(X0),X1))),
    inference(superposition,[],[f519,f2551]) ).

fof(f2856,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(add(inverse(X0),X1)),
    inference(forward_demodulation,[],[f2850,f2741]) ).

fof(f2909,plain,
    ! [X0,X1] : multiply(X0,inverse(multiply(X0,X1))) = inverse(add(inverse(X0),X1)),
    inference(forward_demodulation,[],[f2856,f2]) ).

fof(f3565,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = add(inverse(multiply(X1,inverse(X0))),X0),
    inference(superposition,[],[f234,f2114]) ).

fof(f3582,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = add(X0,inverse(multiply(X1,inverse(X0)))),
    inference(forward_demodulation,[],[f3565,f1]) ).

fof(f4103,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = add(X0,inverse(add(inverse(inverse(multiply(inverse(X0),X1))),add(X0,X1)))),
    inference(superposition,[],[f2781,f2028]) ).

fof(f4167,plain,
    ! [X0,X1] : inverse(add(inverse(X0),X1)) = multiply(X0,inverse(multiply(inverse(inverse(add(inverse(X0),X1))),multiply(X1,X0)))),
    inference(superposition,[],[f2299,f2781]) ).

fof(f4175,plain,
    ! [X0,X1] : inverse(add(inverse(X0),X1)) = multiply(X0,inverse(multiply(multiply(X1,X0),inverse(inverse(add(inverse(X0),X1)))))),
    inference(forward_demodulation,[],[f4167,f2]) ).

fof(f4222,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = add(X0,inverse(add(add(X0,X1),inverse(inverse(multiply(inverse(X0),X1)))))),
    inference(forward_demodulation,[],[f4103,f1]) ).

fof(f4235,plain,
    ! [X0,X1] : inverse(add(inverse(X0),X1)) = multiply(X0,inverse(multiply(multiply(X1,X0),add(inverse(X0),X1)))),
    inference(forward_demodulation,[],[f4175,f499]) ).

fof(f4275,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = add(X0,inverse(add(add(X0,X1),multiply(inverse(X0),X1)))),
    inference(forward_demodulation,[],[f4222,f499]) ).

fof(f4285,plain,
    ! [X0,X1] : inverse(add(inverse(X0),X1)) = multiply(X0,inverse(multiply(X1,X0))),
    inference(forward_demodulation,[],[f4235,f1003]) ).

fof(f4312,plain,
    ! [X0,X1] : add(X0,inverse(add(X0,X1))) = inverse(multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f4275,f1291]) ).

fof(f4351,plain,
    ! [X0,X1] : inverse(add(X0,inverse(X1))) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f4285,f1]) ).

fof(f4369,plain,
    ! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = inverse(add(inverse(add(X0,X1)),X0)),
    inference(superposition,[],[f4285,f191]) ).

fof(f4544,plain,
    ! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = inverse(add(X0,inverse(add(X0,X1)))),
    inference(forward_demodulation,[],[f4369,f1]) ).

fof(f4622,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(add(X0,inverse(add(X0,X1)))),
    inference(forward_demodulation,[],[f4544,f1286]) ).

fof(f4891,plain,
    ! [X0,X1] : add(X1,inverse(multiply(X0,inverse(X1)))) = add(X1,inverse(add(X0,inverse(inverse(X1))))),
    inference(superposition,[],[f108,f4351]) ).

fof(f4892,plain,
    ! [X0,X1] : add(X1,inverse(multiply(X0,inverse(X1)))) = add(X1,inverse(add(X0,X1))),
    inference(forward_demodulation,[],[f4891,f499]) ).

fof(f4970,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X1))) = add(X1,inverse(add(X0,X1))),
    inference(forward_demodulation,[],[f4892,f3582]) ).

fof(f5148,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),inverse(X1))) = add(X1,multiply(X0,inverse(multiply(X1,X0)))),
    inference(superposition,[],[f4970,f4285]) ).

fof(f5250,plain,
    ! [X0,X1] : add(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(forward_demodulation,[],[f5148,f2001]) ).

fof(f6247,plain,
    ! [X0,X1] : add(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f5250,f499]) ).

fof(f6381,plain,
    ! [X0,X1] : add(X0,inverse(add(X0,X1))) = add(inverse(X1),X0),
    inference(backward_demodulation,[],[f4312,f6247]) ).

fof(f6482,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(add(inverse(X1),X0)),
    inference(backward_demodulation,[],[f4622,f6381]) ).

fof(f6617,plain,
    ! [X0,X1] : multiply(X0,inverse(multiply(X0,X1))) = multiply(inverse(X1),X0),
    inference(backward_demodulation,[],[f2909,f6482]) ).

fof(f6623,plain,
    ! [X0,X1] : multiply(inverse(X1),X0) = multiply(X0,inverse(multiply(X1,X0))),
    inference(backward_demodulation,[],[f4285,f6482]) ).

fof(f6778,plain,
    ( multiply(inverse(b),sF2) = multiply(sF2,inverse(multiply(sF0,sF2)))
    | ~ spl5_25 ),
    inference(superposition,[],[f6617,f1364]) ).

fof(f6815,plain,
    ( multiply(inverse(sF0),sF2) = multiply(inverse(b),sF2)
    | ~ spl5_25 ),
    inference(forward_demodulation,[],[f6778,f6623]) ).

fof(f6844,plain,
    ( multiply(inverse(sF0),sF2) = multiply(sF2,inverse(b))
    | ~ spl5_25 ),
    inference(forward_demodulation,[],[f6815,f2]) ).

fof(f6871,plain,
    ( multiply(sF2,sF3) = multiply(inverse(sF0),sF2)
    | ~ spl5_5
    | ~ spl5_25 ),
    inference(forward_demodulation,[],[f6844,f62]) ).

fof(f6891,plain,
    ( multiply(sF2,sF3) = multiply(sF2,inverse(sF0))
    | ~ spl5_5
    | ~ spl5_25 ),
    inference(forward_demodulation,[],[f6871,f2]) ).

fof(f6907,plain,
    ( multiply(sF2,sF3) = multiply(sF2,sF1)
    | ~ spl5_2
    | ~ spl5_5
    | ~ spl5_25 ),
    inference(forward_demodulation,[],[f6891,f31]) ).

fof(f6920,plain,
    ( sF1 = multiply(sF2,sF3)
    | ~ spl5_2
    | ~ spl5_5
    | ~ spl5_25
    | ~ spl5_27 ),
    inference(forward_demodulation,[],[f6907,f1405]) ).

fof(f6925,plain,
    ( sF1 = sF4
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_25
    | ~ spl5_27 ),
    inference(forward_demodulation,[],[f6920,f41]) ).

fof(f6928,plain,
    ( $false
    | ~ spl5_2
    | spl5_3
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_25
    | ~ spl5_27 ),
    inference(forward_subsumption_resolution,[],[f6925,f36]) ).

fof(f6929,plain,
    ( ~ spl5_2
    | spl5_3
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_25
    | ~ spl5_27 ),
    inference(avatar_contradiction_clause,[],[f6928]) ).

cnf(s1,plain,
    spl5_1,
    inference(sat_conversion,[],[f27]) ).

cnf(s2,plain,
    spl5_2,
    inference(sat_conversion,[],[f32]) ).

cnf(s3,plain,
    ~ spl5_3,
    inference(sat_conversion,[],[f37]) ).

cnf(s4,plain,
    spl5_4,
    inference(sat_conversion,[],[f42]) ).

cnf(s5,plain,
    spl5_5,
    inference(sat_conversion,[],[f63]) ).

cnf(s6,plain,
    spl5_6,
    inference(sat_conversion,[],[f68]) ).

cnf(s7,plain,
    ( ~ spl5_1
    | spl5_7 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s16,plain,
    ( ~ spl5_6
    | ~ spl5_7
    | spl5_16 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s25,plain,
    ( ~ spl5_1
    | ~ spl5_6
    | spl5_25 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s27,plain,
    ( ~ spl5_2
    | ~ spl5_16
    | spl5_27 ),
    inference(sat_conversion,[],[f1406]) ).

cnf(s38,plain,
    ( ~ spl5_2
    | spl5_3
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_25
    | ~ spl5_27 ),
    inference(sat_conversion,[],[f6929]) ).

cnf(s53,plain,
    spl5_25,
    inference(rat,[],[s25,s6,s1]) ).

cnf(s56,plain,
    spl5_7,
    inference(rat,[],[s7,s1]) ).

cnf(s57,plain,
    ~ spl5_27,
    inference(rat,[],[s38,s2,s3,s5,s4,s53]) ).

cnf(s64,plain,
    spl5_16,
    inference(rat,[],[s16,s6,s56]) ).

cnf(s65,plain,
    $false,
    inference(rat,[],[s27,s2,s57,s64]) ).

fof(f6932,plain,
    $false,
    inference(avatar_sat_refutation,[],[s65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : BOO014-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16  % Computer : n004.cluster.edu
% 0.10/0.16  % Model    : x86_64 x86_64
% 0.10/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16  % Memory   : 8046.5625MB
% 0.10/0.16  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Mon Sep 28 21:04:07 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  Running first-order theorem proving
% 0.10/0.20  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.27/2.08  % (774863)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.27/2.08  % (774874)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=211282702:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.27/2.08  % (774869)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3420231562:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.27/2.08  % (774872)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2433588617:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.27/2.08  % (774870)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3442653549:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.27/2.08  % (774868)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2647980869:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.27/2.08  % (774871)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3033793399:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.27/2.08  % (774873)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3161691651:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.27/2.08  % (774871)Instruction limit reached! 
% 10.27/2.08  % (774871)------------------------------
% 10.27/2.08  % (774871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.08  % (774871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.08  % (774871)CaDiCaL version: 2.1.3
% 10.27/2.08  % (774871)Termination reason: Instruction limit
% 10.27/2.08  % (774871)Termination phase: Saturation
% 10.27/2.08  % (774871)Time elapsed: 0.084 s
% 10.27/2.08  % (774871)Peak memory usage: 88 MB
% 10.27/2.08  % (774871)Instructions burned: 137 (million)
% 10.27/2.08  % (774872)Instruction limit reached! 
% 10.27/2.08  % (774872)------------------------------
% 10.27/2.08  % (774872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.08  % (774872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.08  % (774872)CaDiCaL version: 2.1.3
% 10.27/2.08  % (774872)Termination reason: Instruction limit
% 10.27/2.08  % (774872)Termination phase: Saturation
% 10.27/2.08  % (774872)Time elapsed: 0.105 s
% 10.27/2.08  % (774872)Peak memory usage: 89 MB
% 10.27/2.08  % (774872)Instructions burned: 181 (million)
% 10.27/2.08  % (774873)Instruction limit reached! 
% 10.27/2.08  % (774873)------------------------------
% 10.27/2.08  % (774873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.08  % (774873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.08  % (774873)CaDiCaL version: 2.1.3
% 10.27/2.08  % (774873)Termination reason: Instruction limit
% 10.27/2.08  % (774873)Termination phase: Saturation
% 10.27/2.08  % (774873)Time elapsed: 0.169 s
% 10.27/2.08  % (774873)Peak memory usage: 90 MB
% 10.27/2.08  % (774873)Instructions burned: 258 (million)
% 10.27/2.08  % (774882)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=917287924:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 10.27/2.08  % (774883)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2364475828:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.27/2.08  % (774874)Instruction limit reached! 
% 10.27/2.08  % (774874)------------------------------
% 10.27/2.08  % (774874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.08  % (774874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.08  % (774874)CaDiCaL version: 2.1.3
% 10.27/2.08  % (774874)Termination reason: Instruction limit
% 10.27/2.08  % (774874)Termination phase: Saturation
% 10.27/2.08  % (774874)Time elapsed: 0.339 s
% 10.27/2.08  % (774874)Peak memory usage: 98 MB
% 10.27/2.08  % (774874)Instructions burned: 1190 (million)
% 10.27/2.08  % (774884)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=269494566:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 10.27/2.08  % (774887)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1720406123:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 10.27/2.08  % (774884)Instruction limit reached! 
% 10.27/2.08  % (774884)------------------------------
% 10.27/2.08  % (774884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.08  % (774884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.08  % (774884)CaDiCaL version: 2.1.3
% 10.27/2.08  % (774884)Termination reason: Instruction limit
% 10.27/2.08  % (774884)Termination phase: Saturation
% 10.27/2.08  % (774884)Time elapsed: 0.107 s
% 10.27/2.08  % (774884)Peak memory usage: 90 MB
% 10.27/2.08  % (774884)Instructions burned: 215 (million)
% 10.27/2.08  % (774887)Instruction limit reached! 
% 10.27/2.08  % (774887)------------------------------
% 10.27/2.08  % (774887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.08  % (774887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.08  % (774887)CaDiCaL version: 2.1.3
% 10.27/2.08  % (774887)Termination reason: Instruction limit
% 10.27/2.08  % (774887)Termination phase: Saturation
% 10.27/2.08  % (774887)Time elapsed: 0.095 s
% 10.27/2.08  % (774887)Peak memory usage: 91 MB
% 10.27/2.08  % (774887)Instructions burned: 318 (million)
% 10.27/2.08  % (774890)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1995716724:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 10.27/2.08  % (774891)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=750922733:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 10.27/2.08  % (774868)First to succeed.
% 10.27/2.08  % (774868)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-774863"
% 10.27/2.08  % (774869)Also succeeded, but the first one will report.
% 10.27/2.08  % (774882)Also succeeded, but the first one will report.
% 10.27/2.08  % (774870)Also succeeded, but the first one will report.
% 10.27/2.08  % (774891)Also succeeded, but the first one will report.
% 10.27/2.08  % (774868)Refutation found. Thanks to Tanya!
% 10.27/2.08  % SZS status Unsatisfiable for theBenchmark
% 10.27/2.08  % SZS output start Proof for theBenchmark
% See solution above
% 10.72/2.28  % (774868)------------------------------
% 10.72/2.28  % (774868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.28  % (774868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.28  % (774868)CaDiCaL version: 2.1.3
% 10.72/2.28  % (774868)Termination reason: Refutation
% 10.72/2.28  % (774868)Time elapsed: 0.986 s
% 10.72/2.28  % (774868)Peak memory usage: 134 MB
% 10.72/2.28  % (774868)Instructions burned: 1521 (million)
% 10.72/2.28  % (774868)------------------------------
% 10.72/2.28  % (774868)------------------------------
% 10.72/2.28  % (774863)Success in time 1.44 s
% 10.72/2.28  % Vampire exiting
%------------------------------------------------------------------------------