TSTP Solution File: GRP353-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP353-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:30 EDT 2022

% Result   : Unsatisfiable 1.59s 0.62s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  266 (  23 unt;   0 def)
%            Number of atoms       :  965 ( 307 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1385 ( 686   ~; 684   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1331,plain,
    $false,
    inference(avatar_sat_refutation,[],[f73,f83,f88,f97,f102,f103,f104,f106,f111,f117,f118,f122,f123,f124,f136,f138,f270,f332,f364,f577,f593,f602,f621,f637,f689,f939,f1046,f1088,f1168,f1300,f1325]) ).

fof(f1325,plain,
    ( ~ spl10_4
    | spl10_9
    | ~ spl10_32 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

fof(f1324,plain,
    ( $false
    | ~ spl10_4
    | spl10_9
    | ~ spl10_32 ),
    inference(subsumption_resolution,[],[f1323,f109]) ).

fof(f109,plain,
    ( sk_c5 != sF3
    | spl10_9 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl10_9
  <=> sk_c5 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

fof(f1323,plain,
    ( sk_c5 = sF3
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f1322,f1]) ).

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

fof(f1322,plain,
    ( sF3 = multiply(identity,sk_c5)
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f1321,f1042]) ).

fof(f1042,plain,
    ( identity = sk_c6
    | ~ spl10_32 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1041,plain,
    ( spl10_32
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).

fof(f1321,plain,
    ( multiply(sk_c6,sk_c5) = sF3
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f35,f1127]) ).

fof(f1127,plain,
    ( sk_c5 = sk_c7
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f1102,f1]) ).

fof(f1102,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f716,f1042]) ).

fof(f716,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f46,f81]) ).

fof(f81,plain,
    ( sk_c7 = sF8
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl10_4
  <=> sk_c7 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f46,plain,
    multiply(sk_c6,sk_c5) = sF8,
    introduced(function_definition,[]) ).

fof(f35,plain,
    multiply(sk_c6,sk_c7) = sF3,
    introduced(function_definition,[]) ).

fof(f1300,plain,
    ( ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13
    | ~ spl10_32 ),
    inference(avatar_contradiction_clause,[],[f1299]) ).

fof(f1299,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13
    | ~ spl10_32 ),
    inference(subsumption_resolution,[],[f1298,f1141]) ).

fof(f1141,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f1132,f1138]) ).

fof(f1138,plain,
    ( sk_c5 = sk_c1
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f1134,f1137]) ).

fof(f1137,plain,
    ( sk_c5 = multiply(inverse(sk_c5),identity)
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f1107,f1127]) ).

fof(f1107,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl10_6
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f726,f1042]) ).

fof(f726,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl10_6 ),
    inference(forward_demodulation,[],[f176,f92]) ).

fof(f92,plain,
    ( sk_c6 = sF0
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl10_6
  <=> sk_c6 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f176,plain,
    sk_c5 = multiply(inverse(sk_c7),sF0),
    inference(superposition,[],[f160,f30]) ).

fof(f30,plain,
    multiply(sk_c7,sk_c5) = sF0,
    introduced(function_definition,[]) ).

fof(f160,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f150,f1]) ).

fof(f150,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

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

fof(f1134,plain,
    ( sk_c1 = multiply(inverse(sk_c5),identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f714,f1127]) ).

fof(f714,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl10_1 ),
    inference(backward_demodulation,[],[f183,f68]) ).

fof(f68,plain,
    ( sk_c7 = sF4
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl10_1
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f183,plain,
    sk_c1 = multiply(inverse(sF4),identity),
    inference(superposition,[],[f160,f147]) ).

fof(f147,plain,
    identity = multiply(sF4,sk_c1),
    inference(superposition,[],[f2,f36]) ).

fof(f36,plain,
    inverse(sk_c1) = sF4,
    introduced(function_definition,[]) ).

fof(f1132,plain,
    ( sk_c5 = inverse(sk_c1)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f712,f1127]) ).

fof(f712,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl10_1 ),
    inference(backward_demodulation,[],[f36,f68]) ).

fof(f1298,plain,
    ( sk_c5 != inverse(sk_c5)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13
    | ~ spl10_32 ),
    inference(trivial_inequality_removal,[],[f1295]) ).

fof(f1295,plain,
    ( sk_c5 != inverse(sk_c5)
    | sk_c5 != sk_c5
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13
    | ~ spl10_32 ),
    inference(superposition,[],[f1190,f1142]) ).

fof(f1142,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f1137,f1141]) ).

fof(f1190,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,identity)
        | sk_c5 != inverse(X4) )
    | ~ spl10_4
    | ~ spl10_13
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f1189,f1127]) ).

fof(f1189,plain,
    ( ! [X4] :
        ( sk_c5 != inverse(X4)
        | sk_c7 != multiply(X4,identity) )
    | ~ spl10_4
    | ~ spl10_13
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f1188,f1127]) ).

fof(f1188,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,identity) )
    | ~ spl10_13
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f135,f1042]) ).

fof(f135,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X4) )
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl10_13
  <=> ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f1168,plain,
    ( ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11
    | ~ spl10_32 ),
    inference(avatar_contradiction_clause,[],[f1167]) ).

fof(f1167,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11
    | ~ spl10_32 ),
    inference(subsumption_resolution,[],[f1166,f1140]) ).

fof(f1140,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f1135,f1138]) ).

fof(f1135,plain,
    ( identity = multiply(sk_c5,sk_c1)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f715,f1127]) ).

fof(f715,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl10_1 ),
    inference(backward_demodulation,[],[f147,f68]) ).

fof(f1166,plain,
    ( identity != multiply(sk_c5,sk_c5)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_8
    | ~ spl10_11
    | ~ spl10_32 ),
    inference(forward_demodulation,[],[f1122,f1127]) ).

fof(f1122,plain,
    ( identity != multiply(sk_c7,sk_c7)
    | ~ spl10_1
    | ~ spl10_8
    | ~ spl10_11
    | ~ spl10_32 ),
    inference(backward_demodulation,[],[f1057,f1042]) ).

fof(f1057,plain,
    ( sk_c6 != multiply(sk_c7,sk_c7)
    | ~ spl10_1
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(subsumption_resolution,[],[f1048,f722]) ).

fof(f722,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f38,f101]) ).

fof(f101,plain,
    ( sk_c6 = sF5
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl10_8
  <=> sk_c6 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f38,plain,
    multiply(sk_c1,sk_c7) = sF5,
    introduced(function_definition,[]) ).

fof(f1048,plain,
    ( sk_c6 != multiply(sk_c1,sk_c7)
    | sk_c6 != multiply(sk_c7,sk_c7)
    | ~ spl10_1
    | ~ spl10_11 ),
    inference(superposition,[],[f129,f712]) ).

fof(f129,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(inverse(X5),sk_c7)
        | sk_c6 != multiply(X5,inverse(X5)) )
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl10_11
  <=> ! [X5] :
        ( sk_c6 != multiply(inverse(X5),sk_c7)
        | sk_c6 != multiply(X5,inverse(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

fof(f1088,plain,
    ( spl10_32
    | ~ spl10_1
    | ~ spl10_8 ),
    inference(avatar_split_clause,[],[f1084,f99,f66,f1041]) ).

fof(f1084,plain,
    ( identity = sk_c6
    | ~ spl10_1
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f1082,f2]) ).

fof(f1082,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl10_1
    | ~ spl10_8 ),
    inference(superposition,[],[f160,f943]) ).

fof(f943,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl10_1
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f942,f68]) ).

fof(f942,plain,
    ( sk_c7 = multiply(sF4,sk_c6)
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f186,f101]) ).

fof(f186,plain,
    sk_c7 = multiply(sF4,sF5),
    inference(forward_demodulation,[],[f182,f36]) ).

fof(f182,plain,
    sk_c7 = multiply(inverse(sk_c1),sF5),
    inference(superposition,[],[f160,f38]) ).

fof(f1046,plain,
    ( ~ spl10_1
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1045,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f1034,f712]) ).

fof(f1034,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(trivial_inequality_removal,[],[f1033]) ).

fof(f1033,plain,
    ( sk_c7 != inverse(sk_c1)
    | sk_c6 != sk_c6
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(superposition,[],[f132,f722]) ).

fof(f132,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl10_12
  <=> ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).

fof(f939,plain,
    ( ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(avatar_contradiction_clause,[],[f938]) ).

fof(f938,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(subsumption_resolution,[],[f937,f881]) ).

fof(f881,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f874,f880]) ).

fof(f880,plain,
    ( sk_c5 = sk_c2
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f871,f879]) ).

fof(f879,plain,
    ( sk_c5 = multiply(inverse(sk_c5),identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f751,f784]) ).

fof(f784,plain,
    ( sk_c5 = sk_c7
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f744,f1]) ).

fof(f744,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f716,f735]) ).

fof(f735,plain,
    ( identity = sk_c6
    | ~ spl10_2
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f710,f733]) ).

fof(f733,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl10_2
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f596,f72]) ).

fof(f72,plain,
    ( sk_c7 = sF7
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl10_2
  <=> sk_c7 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f596,plain,
    ( identity = multiply(sF7,sk_c5)
    | ~ spl10_21 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f595,plain,
    ( spl10_21
  <=> identity = multiply(sF7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).

fof(f710,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f30,f92]) ).

fof(f751,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl10_2
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f726,f735]) ).

fof(f871,plain,
    ( sk_c2 = multiply(inverse(sk_c5),identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f734,f784]) ).

fof(f734,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f430,f72]) ).

fof(f430,plain,
    sk_c2 = multiply(inverse(sF7),identity),
    inference(superposition,[],[f160,f421]) ).

fof(f421,plain,
    identity = multiply(sF7,sk_c2),
    inference(superposition,[],[f2,f41]) ).

fof(f41,plain,
    inverse(sk_c2) = sF7,
    introduced(function_definition,[]) ).

fof(f874,plain,
    ( sk_c5 = inverse(sk_c2)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f732,f784]) ).

fof(f732,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f41,f72]) ).

fof(f937,plain,
    ( sk_c5 != inverse(sk_c5)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f933,f881]) ).

fof(f933,plain,
    ( sk_c5 != inverse(inverse(sk_c5))
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(trivial_inequality_removal,[],[f929]) ).

fof(f929,plain,
    ( identity != identity
    | sk_c5 != inverse(inverse(sk_c5))
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(superposition,[],[f867,f2]) ).

fof(f867,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c5)
        | sk_c5 != inverse(X3) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f855,f784]) ).

fof(f855,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c7)
        | sk_c5 != inverse(X3) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f740,f784]) ).

fof(f740,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | identity != multiply(X3,sk_c7) )
    | ~ spl10_2
    | ~ spl10_6
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f132,f735]) ).

fof(f689,plain,
    ( ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | spl10_22 ),
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f688,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | spl10_22 ),
    inference(subsumption_resolution,[],[f687,f399]) ).

fof(f399,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f371,f394]) ).

fof(f394,plain,
    ( identity = sF0
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f92,f222]) ).

fof(f222,plain,
    ( identity = sk_c6
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f218,f2]) ).

fof(f218,plain,
    ( sk_c6 = multiply(inverse(sk_c4),sk_c4)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(superposition,[],[f160,f187]) ).

fof(f187,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f179,f141]) ).

fof(f141,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl10_5 ),
    inference(backward_demodulation,[],[f51,f87]) ).

fof(f87,plain,
    ( sk_c4 = sF9
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl10_5
  <=> sk_c4 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f51,plain,
    inverse(sk_c3) = sF9,
    introduced(function_definition,[]) ).

fof(f179,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c6)
    | ~ spl10_7 ),
    inference(superposition,[],[f160,f139]) ).

fof(f139,plain,
    ( sk_c6 = multiply(sk_c3,sk_c4)
    | ~ spl10_7 ),
    inference(backward_demodulation,[],[f33,f96]) ).

fof(f96,plain,
    ( sk_c6 = sF2
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl10_7
  <=> sk_c6 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f33,plain,
    multiply(sk_c3,sk_c4) = sF2,
    introduced(function_definition,[]) ).

fof(f371,plain,
    ( multiply(sk_c5,sk_c5) = sF0
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f242,f1]) ).

fof(f242,plain,
    ( multiply(identity,sF0) = multiply(sk_c5,sk_c5)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f191,f222]) ).

fof(f191,plain,
    ( multiply(sk_c6,sF0) = multiply(sk_c5,sk_c5)
    | ~ spl10_9 ),
    inference(superposition,[],[f151,f30]) ).

fof(f151,plain,
    ( ! [X8] : multiply(sk_c5,X8) = multiply(sk_c6,multiply(sk_c7,X8))
    | ~ spl10_9 ),
    inference(superposition,[],[f3,f140]) ).

fof(f140,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f35,f110]) ).

fof(f110,plain,
    ( sk_c5 = sF3
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f687,plain,
    ( identity != multiply(sk_c5,sk_c5)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | spl10_22 ),
    inference(forward_demodulation,[],[f666,f671]) ).

fof(f671,plain,
    ( sk_c5 = sk_c2
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f668,f564]) ).

fof(f564,plain,
    ( sk_c5 = multiply(inverse(sk_c5),identity)
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(superposition,[],[f160,f399]) ).

fof(f668,plain,
    ( sk_c2 = multiply(inverse(sk_c5),identity)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f430,f665]) ).

fof(f665,plain,
    ( sk_c5 = sF7
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f72,f252]) ).

fof(f252,plain,
    ( sk_c5 = sk_c7
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f235,f170]) ).

fof(f170,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f160,f1]) ).

fof(f235,plain,
    ( sk_c7 = multiply(inverse(identity),sk_c5)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f174,f222]) ).

fof(f174,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl10_9 ),
    inference(superposition,[],[f160,f140]) ).

fof(f666,plain,
    ( identity != multiply(sk_c2,sk_c5)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | spl10_22 ),
    inference(backward_demodulation,[],[f601,f665]) ).

fof(f601,plain,
    ( identity != multiply(sk_c2,sF7)
    | spl10_22 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f599,plain,
    ( spl10_22
  <=> identity = multiply(sk_c2,sF7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).

fof(f637,plain,
    ( spl10_21
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(avatar_split_clause,[],[f634,f108,f94,f85,f75,f595]) ).

fof(f75,plain,
    ( spl10_3
  <=> sk_c7 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f634,plain,
    ( identity = multiply(sF7,sk_c5)
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f548,f632]) ).

fof(f632,plain,
    ( sk_c5 = sF6
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f77,f252]) ).

fof(f77,plain,
    ( sk_c7 = sF6
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f548,plain,
    ( identity = multiply(sF7,sF6)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f546,f41]) ).

fof(f546,plain,
    ( identity = multiply(inverse(sk_c2),sF6)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(superposition,[],[f160,f538]) ).

fof(f538,plain,
    ( sF6 = multiply(sk_c2,identity)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f39,f222]) ).

fof(f39,plain,
    multiply(sk_c2,sk_c6) = sF6,
    introduced(function_definition,[]) ).

fof(f621,plain,
    ( ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(avatar_contradiction_clause,[],[f620]) ).

fof(f620,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f615,f404]) ).

fof(f404,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f393,f402]) ).

fof(f402,plain,
    ( sk_c5 = sk_c1
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f390,f395]) ).

fof(f395,plain,
    ( sk_c5 = multiply(inverse(sk_c5),identity)
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f263,f394]) ).

fof(f263,plain,
    ( sk_c5 = multiply(inverse(sk_c5),sF0)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f176,f252]) ).

fof(f390,plain,
    ( sk_c1 = multiply(inverse(sk_c5),identity)
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f183,f388]) ).

fof(f388,plain,
    ( sk_c5 = sF4
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f68,f252]) ).

fof(f393,plain,
    ( sk_c5 = inverse(sk_c1)
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f36,f388]) ).

fof(f615,plain,
    ( sk_c5 != inverse(sk_c5)
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(trivial_inequality_removal,[],[f612]) ).

fof(f612,plain,
    ( sk_c5 != inverse(sk_c5)
    | identity != identity
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(superposition,[],[f605,f399]) ).

fof(f605,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c5)
        | sk_c5 != inverse(X3) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f604,f222]) ).

fof(f604,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c5)
        | sk_c5 != inverse(X3) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f603,f252]) ).

fof(f603,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c5) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f132,f252]) ).

fof(f602,plain,
    ( ~ spl10_21
    | ~ spl10_22
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(avatar_split_clause,[],[f584,f128,f108,f94,f85,f599,f595]) ).

fof(f584,plain,
    ( identity != multiply(sk_c2,sF7)
    | identity != multiply(sF7,sk_c5)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(superposition,[],[f581,f41]) ).

fof(f581,plain,
    ( ! [X5] :
        ( identity != multiply(inverse(X5),sk_c5)
        | identity != multiply(X5,inverse(X5)) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f580,f222]) ).

fof(f580,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),sk_c5) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f579,f222]) ).

fof(f579,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(inverse(X5),sk_c5)
        | sk_c6 != multiply(X5,inverse(X5)) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f129,f252]) ).

fof(f593,plain,
    ( ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(avatar_contradiction_clause,[],[f592]) ).

fof(f592,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(subsumption_resolution,[],[f586,f399]) ).

fof(f586,plain,
    ( identity != multiply(sk_c5,sk_c5)
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(duplicate_literal_removal,[],[f582]) ).

fof(f582,plain,
    ( identity != multiply(sk_c5,sk_c5)
    | identity != multiply(sk_c5,sk_c5)
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(superposition,[],[f581,f404]) ).

fof(f577,plain,
    ( ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f576]) ).

fof(f576,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f575,f404]) ).

fof(f575,plain,
    ( sk_c5 != inverse(sk_c5)
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f572]) ).

fof(f572,plain,
    ( sk_c5 != inverse(sk_c5)
    | sk_c5 != sk_c5
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(superposition,[],[f335,f408]) ).

fof(f408,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl10_1
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f395,f404]) ).

fof(f335,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,identity)
        | sk_c5 != inverse(X4) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f334,f252]) ).

fof(f334,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | sk_c5 != inverse(X4) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f333,f222]) ).

fof(f333,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c5 != inverse(X4) )
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f135,f252]) ).

fof(f364,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f363]) ).

fof(f363,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f348,f277]) ).

fof(f277,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f258,f276]) ).

fof(f276,plain,
    ( sk_c5 = sk_c2
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f264,f273]) ).

fof(f273,plain,
    ( sk_c5 = multiply(inverse(sk_c5),identity)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f263,f272]) ).

fof(f272,plain,
    ( identity = sF0
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f253,f271]) ).

fof(f271,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f251,f252]) ).

fof(f251,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f221,f222]) ).

fof(f221,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f193,f220]) ).

fof(f220,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f217,f139]) ).

fof(f217,plain,
    ( multiply(sk_c3,sk_c4) = multiply(sk_c6,sk_c6)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(superposition,[],[f155,f187]) ).

fof(f155,plain,
    ( ! [X12] : multiply(sk_c3,multiply(sk_c4,X12)) = multiply(sk_c6,X12)
    | ~ spl10_7 ),
    inference(superposition,[],[f3,f139]) ).

fof(f193,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_9 ),
    inference(superposition,[],[f151,f185]) ).

fof(f185,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl10_2
    | ~ spl10_3 ),
    inference(forward_demodulation,[],[f178,f143]) ).

fof(f143,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f41,f72]) ).

fof(f178,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c7)
    | ~ spl10_3 ),
    inference(superposition,[],[f160,f142]) ).

fof(f142,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f39,f77]) ).

fof(f253,plain,
    ( multiply(sk_c5,sk_c5) = sF0
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f30,f252]) ).

fof(f264,plain,
    ( sk_c2 = multiply(inverse(sk_c5),identity)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f177,f252]) ).

fof(f177,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl10_2 ),
    inference(superposition,[],[f160,f146]) ).

fof(f146,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl10_2 ),
    inference(superposition,[],[f2,f143]) ).

fof(f258,plain,
    ( sk_c5 = inverse(sk_c2)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f143,f252]) ).

fof(f348,plain,
    ( sk_c5 != inverse(sk_c5)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f347]) ).

fof(f347,plain,
    ( sk_c5 != inverse(sk_c5)
    | sk_c5 != sk_c5
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(superposition,[],[f335,f280]) ).

fof(f280,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f266,f276]) ).

fof(f266,plain,
    ( sk_c5 = multiply(sk_c2,identity)
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f228,f252]) ).

fof(f228,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(backward_demodulation,[],[f142,f222]) ).

fof(f332,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(subsumption_resolution,[],[f330,f222]) ).

fof(f330,plain,
    ( identity != sk_c6
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f91,f272]) ).

fof(f91,plain,
    ( sk_c6 != sF0
    | spl10_6 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f270,plain,
    ( spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(subsumption_resolution,[],[f268,f257]) ).

fof(f257,plain,
    ( sk_c5 != sF8
    | spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f80,f252]) ).

fof(f80,plain,
    ( sk_c7 != sF8
    | spl10_4 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f268,plain,
    ( sk_c5 = sF8
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f223,f1]) ).

fof(f223,plain,
    ( sF8 = multiply(identity,sk_c5)
    | ~ spl10_5
    | ~ spl10_7 ),
    inference(backward_demodulation,[],[f46,f222]) ).

fof(f138,plain,
    ( spl10_5
    | spl10_1 ),
    inference(avatar_split_clause,[],[f59,f66,f85]) ).

fof(f59,plain,
    ( sk_c7 = sF4
    | sk_c4 = sF9 ),
    inference(definition_folding,[],[f20,f51,f36]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c4 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f136,plain,
    ( spl10_11
    | ~ spl10_9
    | spl10_12
    | spl10_13
    | ~ spl10_6
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f60,f79,f90,f134,f131,f108,f128]) ).

fof(f60,plain,
    ! [X3,X4,X5] :
      ( sk_c7 != sF8
      | sk_c6 != sF0
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X4)
      | sk_c5 != sF3
      | sk_c6 != multiply(inverse(X5),sk_c7)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X5,inverse(X5)) ),
    inference(definition_folding,[],[f29,f35,f30,f46]) ).

fof(f29,plain,
    ! [X3,X4,X5] :
      ( sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X3)
      | multiply(sk_c6,sk_c5) != sk_c7
      | sk_c6 != multiply(inverse(X5),sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X5,inverse(X5)) ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X6,X4,X5] :
      ( inverse(X5) != X6
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X3)
      | multiply(sk_c6,sk_c5) != sk_c7
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f124,plain,
    ( spl10_7
    | spl10_1 ),
    inference(avatar_split_clause,[],[f44,f66,f94]) ).

fof(f44,plain,
    ( sk_c7 = sF4
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f19,f33,f36]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f123,plain,
    ( spl10_8
    | spl10_9 ),
    inference(avatar_split_clause,[],[f53,f108,f99]) ).

fof(f53,plain,
    ( sk_c5 = sF3
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f10,f35,f38]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f122,plain,
    ( spl10_2
    | spl10_6 ),
    inference(avatar_split_clause,[],[f43,f90,f70]) ).

fof(f43,plain,
    ( sk_c6 = sF0
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f23,f41,f30]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f118,plain,
    ( spl10_6
    | spl10_3 ),
    inference(avatar_split_clause,[],[f58,f75,f90]) ).

fof(f58,plain,
    ( sk_c7 = sF6
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f24,f39,f30]) ).

fof(f24,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f117,plain,
    ( spl10_9
    | spl10_4 ),
    inference(avatar_split_clause,[],[f54,f79,f108]) ).

fof(f54,plain,
    ( sk_c7 = sF8
    | sk_c5 = sF3 ),
    inference(definition_folding,[],[f4,f35,f46]) ).

fof(f4,axiom,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f111,plain,
    ( spl10_9
    | spl10_1 ),
    inference(avatar_split_clause,[],[f37,f66,f108]) ).

fof(f37,plain,
    ( sk_c7 = sF4
    | sk_c5 = sF3 ),
    inference(definition_folding,[],[f16,f36,f35]) ).

fof(f16,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f106,plain,
    ( spl10_8
    | spl10_5 ),
    inference(avatar_split_clause,[],[f52,f85,f99]) ).

fof(f52,plain,
    ( sk_c4 = sF9
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f14,f51,f38]) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c4 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f104,plain,
    ( spl10_5
    | spl10_6 ),
    inference(avatar_split_clause,[],[f61,f90,f85]) ).

fof(f61,plain,
    ( sk_c6 = sF0
    | sk_c4 = sF9 ),
    inference(definition_folding,[],[f26,f51,f30]) ).

fof(f26,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c4 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f103,plain,
    ( spl10_7
    | spl10_4 ),
    inference(avatar_split_clause,[],[f48,f79,f94]) ).

fof(f48,plain,
    ( sk_c7 = sF8
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f7,f33,f46]) ).

fof(f7,axiom,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | sk_c6 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f102,plain,
    ( spl10_8
    | spl10_7 ),
    inference(avatar_split_clause,[],[f57,f94,f99]) ).

fof(f57,plain,
    ( sk_c6 = sF2
    | sk_c6 = sF5 ),
    inference(definition_folding,[],[f13,f38,f33]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c3,sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f97,plain,
    ( spl10_6
    | spl10_7 ),
    inference(avatar_split_clause,[],[f34,f94,f90]) ).

fof(f34,plain,
    ( sk_c6 = sF2
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f25,f30,f33]) ).

fof(f25,axiom,
    ( sk_c6 = multiply(sk_c3,sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f88,plain,
    ( spl10_4
    | spl10_5 ),
    inference(avatar_split_clause,[],[f62,f85,f79]) ).

fof(f62,plain,
    ( sk_c4 = sF9
    | sk_c7 = sF8 ),
    inference(definition_folding,[],[f8,f51,f46]) ).

fof(f8,axiom,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | sk_c4 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f83,plain,
    ( spl10_3
    | spl10_1 ),
    inference(avatar_split_clause,[],[f55,f66,f75]) ).

fof(f55,plain,
    ( sk_c7 = sF4
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f18,f39,f36]) ).

fof(f18,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f73,plain,
    ( spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f45,f70,f66]) ).

fof(f45,plain,
    ( sk_c7 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f17,f41,f36]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP353-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:24:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (25818)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (25809)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (25803)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (25826)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (25809)Refutation not found, incomplete strategy% (25809)------------------------------
% 0.20/0.51  % (25809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (25809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (25809)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (25809)Memory used [KB]: 5884
% 0.20/0.51  % (25809)Time elapsed: 0.062 s
% 0.20/0.51  % (25809)Instructions burned: 3 (million)
% 0.20/0.51  % (25809)------------------------------
% 0.20/0.51  % (25809)------------------------------
% 0.20/0.51  % (25818)Instruction limit reached!
% 0.20/0.51  % (25818)------------------------------
% 0.20/0.51  % (25818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (25818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (25818)Termination reason: Unknown
% 0.20/0.51  % (25818)Termination phase: Finite model building constraint generation
% 0.20/0.51  
% 0.20/0.51  % (25818)Memory used [KB]: 6012
% 0.20/0.51  % (25818)Time elapsed: 0.061 s
% 0.20/0.51  % (25818)Instructions burned: 8 (million)
% 0.20/0.51  % (25818)------------------------------
% 0.20/0.51  % (25818)------------------------------
% 0.20/0.51  % (25820)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51  % (25811)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (25826)Refutation not found, incomplete strategy% (25826)------------------------------
% 0.20/0.51  % (25826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (25826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (25826)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (25826)Memory used [KB]: 5884
% 0.20/0.51  % (25826)Time elapsed: 0.067 s
% 0.20/0.51  % (25826)Instructions burned: 3 (million)
% 0.20/0.51  % (25826)------------------------------
% 0.20/0.51  % (25826)------------------------------
% 0.20/0.51  % (25807)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51  % (25806)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (25806)Refutation not found, incomplete strategy% (25806)------------------------------
% 0.20/0.52  % (25806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (25808)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (25806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (25806)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (25806)Memory used [KB]: 5884
% 0.20/0.52  % (25806)Time elapsed: 0.115 s
% 0.20/0.52  % (25806)Instructions burned: 5 (million)
% 0.20/0.52  % (25806)------------------------------
% 0.20/0.52  % (25806)------------------------------
% 0.20/0.52  % (25820)Instruction limit reached!
% 0.20/0.52  % (25820)------------------------------
% 0.20/0.52  % (25820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25825)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (25810)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (25810)Instruction limit reached!
% 0.20/0.53  % (25810)------------------------------
% 0.20/0.53  % (25810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25804)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (25832)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (25804)Instruction limit reached!
% 0.20/0.53  % (25804)------------------------------
% 0.20/0.53  % (25804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (25804)Termination reason: Unknown
% 0.20/0.53  % (25804)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (25804)Memory used [KB]: 5884
% 0.20/0.53  % (25804)Time elapsed: 0.134 s
% 0.20/0.53  % (25804)Instructions burned: 4 (million)
% 0.20/0.53  % (25804)------------------------------
% 0.20/0.53  % (25804)------------------------------
% 0.20/0.53  % (25817)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (25810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (25810)Termination reason: Unknown
% 0.20/0.53  % (25810)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (25810)Memory used [KB]: 5884
% 0.20/0.53  % (25810)Time elapsed: 0.128 s
% 0.20/0.53  % (25810)Instructions burned: 4 (million)
% 0.20/0.53  % (25810)------------------------------
% 0.20/0.53  % (25810)------------------------------
% 0.20/0.53  % (25830)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53  % (25805)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53  % (25812)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (25802)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (25821)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.54  % (25823)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.47/0.54  % (25820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54  % (25820)Termination reason: Unknown
% 1.47/0.54  % (25820)Termination phase: Saturation
% 1.47/0.54  
% 1.47/0.54  % (25820)Memory used [KB]: 6012
% 1.47/0.54  % (25820)Time elapsed: 0.126 s
% 1.47/0.54  % (25820)Instructions burned: 8 (million)
% 1.47/0.54  % (25820)------------------------------
% 1.47/0.54  % (25820)------------------------------
% 1.47/0.54  % (25815)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.47/0.54  % (25829)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.47/0.54  % (25824)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.47/0.54  % (25815)Instruction limit reached!
% 1.47/0.54  % (25815)------------------------------
% 1.47/0.54  % (25815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54  % (25815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54  % (25815)Termination reason: Unknown
% 1.47/0.54  % (25815)Termination phase: Saturation
% 1.47/0.54  
% 1.47/0.54  % (25815)Memory used [KB]: 5884
% 1.47/0.54  % (25815)Time elapsed: 0.150 s
% 1.47/0.54  % (25815)Instructions burned: 6 (million)
% 1.47/0.54  % (25815)------------------------------
% 1.47/0.54  % (25815)------------------------------
% 1.47/0.54  % (25822)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.54  % (25823)Instruction limit reached!
% 1.47/0.54  % (25823)------------------------------
% 1.47/0.54  % (25823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (25816)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.47/0.55  % (25827)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.47/0.55  % (25816)Instruction limit reached!
% 1.47/0.55  % (25816)------------------------------
% 1.47/0.55  % (25816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (25816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (25816)Termination reason: Unknown
% 1.47/0.55  % (25816)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (25816)Memory used [KB]: 5884
% 1.47/0.55  % (25816)Time elapsed: 0.003 s
% 1.47/0.55  % (25816)Instructions burned: 4 (million)
% 1.47/0.55  % (25816)------------------------------
% 1.47/0.55  % (25816)------------------------------
% 1.47/0.55  % (25831)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.47/0.55  % (25831)Refutation not found, incomplete strategy% (25831)------------------------------
% 1.47/0.55  % (25831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (25814)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.47/0.55  % (25812)Instruction limit reached!
% 1.47/0.55  % (25812)------------------------------
% 1.47/0.55  % (25812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (25819)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.59/0.55  % (25828)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.59/0.56  % (25831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (25823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (25823)Termination reason: Unknown
% 1.59/0.56  % (25823)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (25823)Memory used [KB]: 1407
% 1.59/0.56  % (25823)Time elapsed: 0.151 s
% 1.59/0.56  % (25823)Instructions burned: 7 (million)
% 1.59/0.56  % (25823)------------------------------
% 1.59/0.56  % (25823)------------------------------
% 1.59/0.56  % (25831)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.56  
% 1.59/0.56  % (25831)Memory used [KB]: 5884
% 1.59/0.56  % (25831)Time elapsed: 0.156 s
% 1.59/0.56  % (25831)Instructions burned: 2 (million)
% 1.59/0.56  % (25831)------------------------------
% 1.59/0.56  % (25831)------------------------------
% 1.59/0.56  % (25803)Instruction limit reached!
% 1.59/0.56  % (25803)------------------------------
% 1.59/0.56  % (25803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (25812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (25812)Termination reason: Unknown
% 1.59/0.56  % (25812)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (25812)Memory used [KB]: 6012
% 1.59/0.56  % (25812)Time elapsed: 0.160 s
% 1.59/0.56  % (25812)Instructions burned: 7 (million)
% 1.59/0.56  % (25812)------------------------------
% 1.59/0.56  % (25812)------------------------------
% 1.59/0.56  % (25807)Instruction limit reached!
% 1.59/0.56  % (25807)------------------------------
% 1.59/0.56  % (25807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (25819)Instruction limit reached!
% 1.59/0.56  % (25819)------------------------------
% 1.59/0.56  % (25819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (25819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (25819)Termination reason: Unknown
% 1.59/0.56  % (25819)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (25819)Memory used [KB]: 5884
% 1.59/0.56  % (25819)Time elapsed: 0.169 s
% 1.59/0.56  % (25819)Instructions burned: 3 (million)
% 1.59/0.56  % (25819)------------------------------
% 1.59/0.56  % (25819)------------------------------
% 1.59/0.56  % (25822)Instruction limit reached!
% 1.59/0.56  % (25822)------------------------------
% 1.59/0.56  % (25822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (25822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (25822)Termination reason: Unknown
% 1.59/0.56  % (25822)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (25822)Memory used [KB]: 6012
% 1.59/0.56  % (25822)Time elapsed: 0.151 s
% 1.59/0.56  % (25822)Instructions burned: 7 (million)
% 1.59/0.56  % (25822)------------------------------
% 1.59/0.56  % (25822)------------------------------
% 1.59/0.57  % (25803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (25803)Termination reason: Unknown
% 1.59/0.57  % (25803)Termination phase: Saturation
% 1.59/0.57  
% 1.59/0.57  % (25803)Memory used [KB]: 1791
% 1.59/0.57  % (25803)Time elapsed: 0.153 s
% 1.59/0.57  % (25803)Instructions burned: 42 (million)
% 1.59/0.57  % (25803)------------------------------
% 1.59/0.57  % (25803)------------------------------
% 1.59/0.57  % (25807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (25807)Termination reason: Unknown
% 1.59/0.57  % (25807)Termination phase: Saturation
% 1.59/0.57  
% 1.59/0.57  % (25807)Memory used [KB]: 6140
% 1.59/0.57  % (25807)Time elapsed: 0.168 s
% 1.59/0.57  % (25807)Instructions burned: 25 (million)
% 1.59/0.57  % (25807)------------------------------
% 1.59/0.57  % (25807)------------------------------
% 1.59/0.57  % (25814)Instruction limit reached!
% 1.59/0.57  % (25814)------------------------------
% 1.59/0.57  % (25814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57  % (25814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (25814)Termination reason: Unknown
% 1.59/0.57  % (25814)Termination phase: Saturation
% 1.59/0.57  
% 1.59/0.57  % (25814)Memory used [KB]: 6140
% 1.59/0.57  % (25814)Time elapsed: 0.168 s
% 1.59/0.57  % (25814)Instructions burned: 24 (million)
% 1.59/0.57  % (25814)------------------------------
% 1.59/0.57  % (25814)------------------------------
% 1.59/0.58  % (25817)Instruction limit reached!
% 1.59/0.58  % (25817)------------------------------
% 1.59/0.58  % (25817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (25817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (25817)Termination reason: Unknown
% 1.59/0.58  % (25817)Termination phase: Saturation
% 1.59/0.58  
% 1.59/0.58  % (25817)Memory used [KB]: 1663
% 1.59/0.58  % (25817)Time elapsed: 0.184 s
% 1.59/0.58  % (25817)Instructions burned: 29 (million)
% 1.59/0.58  % (25817)------------------------------
% 1.59/0.58  % (25817)------------------------------
% 1.59/0.59  % (25805)Instruction limit reached!
% 1.59/0.59  % (25805)------------------------------
% 1.59/0.59  % (25805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (25805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59  % (25805)Termination reason: Unknown
% 1.59/0.59  % (25805)Termination phase: Saturation
% 1.59/0.59  
% 1.59/0.59  % (25805)Memory used [KB]: 6524
% 1.59/0.59  % (25805)Time elapsed: 0.176 s
% 1.59/0.59  % (25805)Instructions burned: 44 (million)
% 1.59/0.59  % (25805)------------------------------
% 1.59/0.59  % (25805)------------------------------
% 1.59/0.59  % (25811)Instruction limit reached!
% 1.59/0.59  % (25811)------------------------------
% 1.59/0.59  % (25811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (25808)Instruction limit reached!
% 1.59/0.59  % (25808)------------------------------
% 1.59/0.59  % (25808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (25821)Instruction limit reached!
% 1.59/0.59  % (25821)------------------------------
% 1.59/0.59  % (25821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (25821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59  % (25821)Termination reason: Unknown
% 1.59/0.59  % (25821)Termination phase: Saturation
% 1.59/0.59  
% 1.59/0.59  % (25821)Memory used [KB]: 10618
% 1.59/0.59  % (25821)Time elapsed: 0.182 s
% 1.59/0.59  % (25821)Instructions burned: 29 (million)
% 1.59/0.59  % (25821)------------------------------
% 1.59/0.59  % (25821)------------------------------
% 1.59/0.60  % (25811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60  % (25811)Termination reason: Unknown
% 1.59/0.60  % (25811)Termination phase: Saturation
% 1.59/0.60  
% 1.59/0.60  % (25811)Memory used [KB]: 6908
% 1.59/0.60  % (25811)Time elapsed: 0.178 s
% 1.59/0.60  % (25811)Instructions burned: 51 (million)
% 1.59/0.60  % (25811)------------------------------
% 1.59/0.60  % (25811)------------------------------
% 1.59/0.60  % (25808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60  % (25808)Termination reason: Unknown
% 1.59/0.60  % (25808)Termination phase: Saturation
% 1.59/0.60  
% 1.59/0.60  % (25808)Memory used [KB]: 1918
% 1.59/0.60  % (25808)Time elapsed: 0.177 s
% 1.59/0.60  % (25808)Instructions burned: 49 (million)
% 1.59/0.60  % (25808)------------------------------
% 1.59/0.60  % (25808)------------------------------
% 1.59/0.61  % (25824)Instruction limit reached!
% 1.59/0.61  % (25824)------------------------------
% 1.59/0.61  % (25824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61  % (25824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61  % (25824)Termination reason: Unknown
% 1.59/0.61  % (25824)Termination phase: Saturation
% 1.59/0.61  
% 1.59/0.61  % (25824)Memory used [KB]: 7291
% 1.59/0.61  % (25824)Time elapsed: 0.211 s
% 1.59/0.61  % (25824)Instructions burned: 67 (million)
% 1.59/0.61  % (25824)------------------------------
% 1.59/0.61  % (25824)------------------------------
% 1.59/0.62  % (25925)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.59/0.62  % (25802)First to succeed.
% 1.59/0.62  % (25802)Refutation found. Thanks to Tanya!
% 1.59/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.59/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.63  % (25802)------------------------------
% 1.59/0.63  % (25802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.63  % (25802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.63  % (25802)Termination reason: Refutation
% 1.59/0.63  
% 1.59/0.63  % (25802)Memory used [KB]: 6396
% 1.59/0.63  % (25802)Time elapsed: 0.230 s
% 1.59/0.63  % (25802)Instructions burned: 44 (million)
% 1.59/0.63  % (25802)------------------------------
% 1.59/0.63  % (25802)------------------------------
% 1.59/0.63  % (25798)Success in time 0.278 s
%------------------------------------------------------------------------------