TSTP Solution File: SWV537-1.004 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV537-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n017.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 18:59:54 EDT 2022

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  319 (  44 unt;   0 def)
%            Number of atoms       :  797 ( 319 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  849 ( 371   ~; 441   |;   0   &)
%                                         (  37 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   39 (  37 usr;  38 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  29 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2349,plain,
    $false,
    inference(avatar_sat_refutation,[],[f208,f235,f236,f273,f363,f370,f471,f474,f542,f956,f966,f1044,f1054,f1088,f1092,f1094,f1175,f1206,f1220,f1256,f1289,f1319,f1327,f1344,f1348,f1361,f1417,f1439,f1455,f1760,f1767,f1806,f1843,f1891,f1909,f1935,f1936,f1969,f2019,f2030,f2031,f2034,f2046,f2061,f2074,f2104,f2160,f2186,f2197,f2214,f2244,f2348]) ).

fof(f2348,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_57
    | ~ spl0_58
    | ~ spl0_59
    | ~ spl0_65
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f2347]) ).

fof(f2347,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_57
    | ~ spl0_58
    | ~ spl0_59
    | ~ spl0_65
    | ~ spl0_69 ),
    inference(trivial_inequality_removal,[],[f2344]) ).

fof(f2344,plain,
    ( e_476 != e_476
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_57
    | ~ spl0_58
    | ~ spl0_59
    | ~ spl0_65
    | ~ spl0_69 ),
    inference(superposition,[],[f2317,f2337]) ).

fof(f2337,plain,
    ( e_476 = e_488
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_57
    | ~ spl0_65
    | ~ spl0_69 ),
    inference(forward_demodulation,[],[f2336,f1799]) ).

fof(f1799,plain,
    ( e_476 = select(a_473,i0)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f1797]) ).

fof(f1797,plain,
    ( spl0_57
  <=> e_476 = select(a_473,i0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2336,plain,
    ( e_488 = select(a_473,i0)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_65
    | ~ spl0_69 ),
    inference(superposition,[],[f1929,f2330]) ).

fof(f2330,plain,
    ( a_473 = a_483
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_69 ),
    inference(forward_demodulation,[],[f2329,f7]) ).

fof(f7,axiom,
    a_473 = store(a_471,i3,e_472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f2329,plain,
    ( store(a_471,i3,e_472) = a_483
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_69 ),
    inference(forward_demodulation,[],[f2319,f2142]) ).

fof(f2142,plain,
    ( e_472 = e_482
    | ~ spl0_12
    | ~ spl0_69 ),
    inference(superposition,[],[f2102,f267]) ).

fof(f267,plain,
    ( e_482 = select(a_467,i2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_12
  <=> e_482 = select(a_467,i2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2102,plain,
    ( e_472 = select(a_467,i2)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f2100]) ).

fof(f2100,plain,
    ( spl0_69
  <=> e_472 = select(a_467,i2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2319,plain,
    ( a_483 = store(a_471,i3,e_482)
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(superposition,[],[f13,f2307]) ).

fof(f2307,plain,
    ( a_471 = a_481
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2300,f2245]) ).

fof(f2245,plain,
    ( a_471 = store(a_469,i0,e_468)
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2226,f311]) ).

fof(f311,plain,
    ( e_468 = e_470
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl0_14
  <=> e_468 = e_470 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2226,plain,
    ( a_471 = store(a_469,i0,e_470)
    | ~ spl0_9 ),
    inference(superposition,[],[f6,f223]) ).

fof(f223,plain,
    ( i0 = i3
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl0_9
  <=> i0 = i3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f6,axiom,
    a_471 = store(a_469,i3,e_470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

fof(f2300,plain,
    ( a_481 = store(a_469,i0,e_468)
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(superposition,[],[f12,f2247]) ).

fof(f2247,plain,
    ( a_469 = a_480
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2246,f5]) ).

fof(f5,axiom,
    a_469 = store(a_467,i0,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f2246,plain,
    ( store(a_467,i0,e_468) = a_480
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2228,f311]) ).

fof(f2228,plain,
    ( a_480 = store(a_467,i0,e_470)
    | ~ spl0_9 ),
    inference(superposition,[],[f11,f223]) ).

fof(f11,axiom,
    a_480 = store(a_467,i3,e_470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f12,axiom,
    a_481 = store(a_480,i0,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f13,axiom,
    a_483 = store(a_481,i3,e_482),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f1929,plain,
    ( e_488 = select(a_483,i0)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f1927]) ).

fof(f1927,plain,
    ( spl0_65
  <=> e_488 = select(a_483,i0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2317,plain,
    ( e_476 != e_488
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f2316,f1815]) ).

fof(f1815,plain,
    ( e_476 = e_491
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f1813]) ).

fof(f1813,plain,
    ( spl0_58
  <=> e_476 = e_491 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2316,plain,
    ( e_488 != e_491
    | ~ spl0_59 ),
    inference(superposition,[],[f31,f2277]) ).

fof(f2277,plain,
    ( e_488 = e_492
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f2269,f45]) ).

fof(f45,plain,
    e_488 = select(a_489,i2),
    inference(superposition,[],[f1,f16]) ).

fof(f16,axiom,
    a_489 = store(a_487,i2,e_488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f2269,plain,
    ( e_492 = select(a_489,i2)
    | ~ spl0_59 ),
    inference(superposition,[],[f29,f1850]) ).

fof(f1850,plain,
    ( i2 = i_490
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f1848]) ).

fof(f1848,plain,
    ( spl0_59
  <=> i2 = i_490 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f29,axiom,
    e_492 = select(a_489,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

fof(f31,axiom,
    e_491 != e_492,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f2244,plain,
    ( spl0_68
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2243,f310,f221,f2025]) ).

fof(f2025,plain,
    ( spl0_68
  <=> e_468 = select(a_471,i0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2243,plain,
    ( e_468 = select(a_471,i0)
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2242,f311]) ).

fof(f2242,plain,
    ( e_470 = select(a_471,i0)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2231,f63]) ).

fof(f63,plain,
    e_470 = e_474,
    inference(superposition,[],[f21,f39]) ).

fof(f39,plain,
    e_470 = select(a_471,i3),
    inference(superposition,[],[f1,f6]) ).

fof(f21,axiom,
    e_474 = select(a_471,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

fof(f2231,plain,
    ( e_474 = select(a_471,i0)
    | ~ spl0_9 ),
    inference(superposition,[],[f21,f223]) ).

fof(f2214,plain,
    ( spl0_34
    | spl0_59
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f2212,f1050,f1848,f1170]) ).

fof(f1170,plain,
    ( spl0_34
  <=> e_492 = select(a_483,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1050,plain,
    ( spl0_32
  <=> e_492 = select(a_485,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2212,plain,
    ( i2 = i_490
    | e_492 = select(a_483,i_490)
    | ~ spl0_32 ),
    inference(superposition,[],[f58,f1052]) ).

fof(f1052,plain,
    ( e_492 = select(a_485,i_490)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f58,plain,
    ! [X12] :
      ( select(a_485,X12) = select(a_483,X12)
      | i2 = X12 ),
    inference(superposition,[],[f2,f14]) ).

fof(f14,axiom,
    a_485 = store(a_483,i2,e_484),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( select(store(X0,X1,X2),X3) = select(X0,X3)
      | X1 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f2197,plain,
    ( ~ spl0_27
    | ~ spl0_36
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f2196]) ).

fof(f2196,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_71 ),
    inference(trivial_inequality_removal,[],[f2195]) ).

fof(f2195,plain,
    ( e_472 != e_472
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_71 ),
    inference(superposition,[],[f2194,f2076]) ).

fof(f2076,plain,
    ( e_472 = e_491
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f2075,f40]) ).

fof(f40,plain,
    e_472 = select(a_473,i3),
    inference(superposition,[],[f1,f7]) ).

fof(f2075,plain,
    ( e_491 = select(a_473,i3)
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f963,f1200]) ).

fof(f1200,plain,
    ( i3 = i_490
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1198,plain,
    ( spl0_36
  <=> i3 = i_490 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f963,plain,
    ( e_491 = select(a_473,i_490)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_27
  <=> e_491 = select(a_473,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2194,plain,
    ( e_472 != e_491
    | ~ spl0_71 ),
    inference(superposition,[],[f31,f2177]) ).

fof(f2177,plain,
    ( e_472 = e_492
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f2175]) ).

fof(f2175,plain,
    ( spl0_71
  <=> e_472 = e_492 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2186,plain,
    ( spl0_13
    | spl0_71
    | ~ spl0_12
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2185,f2100,f1198,f1050,f265,f2175,f269]) ).

fof(f269,plain,
    ( spl0_13
  <=> i3 = i2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2185,plain,
    ( e_472 = e_492
    | i3 = i2
    | ~ spl0_12
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_69 ),
    inference(forward_demodulation,[],[f2153,f2142]) ).

fof(f2153,plain,
    ( i3 = i2
    | e_482 = e_492
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f2151,f41]) ).

fof(f41,plain,
    e_482 = select(a_483,i3),
    inference(superposition,[],[f1,f13]) ).

fof(f2151,plain,
    ( e_492 = select(a_483,i3)
    | i3 = i2
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(superposition,[],[f2109,f58]) ).

fof(f2109,plain,
    ( e_492 = select(a_485,i3)
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1052,f1200]) ).

fof(f2160,plain,
    ( ~ spl0_13
    | ~ spl0_36
    | spl0_59 ),
    inference(avatar_split_clause,[],[f2086,f1848,f1198,f269]) ).

fof(f2086,plain,
    ( i3 != i2
    | ~ spl0_36
    | spl0_59 ),
    inference(superposition,[],[f1849,f1200]) ).

fof(f1849,plain,
    ( i2 != i_490
    | spl0_59 ),
    inference(avatar_component_clause,[],[f1848]) ).

fof(f2104,plain,
    ( spl0_11
    | spl0_69
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2094,f366,f2100,f230]) ).

fof(f230,plain,
    ( spl0_11
  <=> i0 = i2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f366,plain,
    ( spl0_17
  <=> e_472 = select(a_469,i2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2094,plain,
    ( e_472 = select(a_467,i2)
    | i0 = i2
    | ~ spl0_17 ),
    inference(superposition,[],[f48,f368]) ).

fof(f368,plain,
    ( e_472 = select(a_469,i2)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f48,plain,
    ! [X2] :
      ( select(a_467,X2) = select(a_469,X2)
      | i0 = X2 ),
    inference(superposition,[],[f2,f5]) ).

fof(f2074,plain,
    ( spl0_59
    | spl0_27
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2072,f951,f961,f1848]) ).

fof(f951,plain,
    ( spl0_26
  <=> e_491 = select(a_475,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2072,plain,
    ( e_491 = select(a_473,i_490)
    | i2 = i_490
    | ~ spl0_26 ),
    inference(superposition,[],[f56,f953]) ).

fof(f953,plain,
    ( e_491 = select(a_475,i_490)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f56,plain,
    ! [X10] :
      ( select(a_473,X10) = select(a_475,X10)
      | i2 = X10 ),
    inference(superposition,[],[f2,f8]) ).

fof(f8,axiom,
    a_475 = store(a_473,i2,e_474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

fof(f2061,plain,
    ( spl0_26
    | spl0_59
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1888,f193,f1848,f951]) ).

fof(f193,plain,
    ( spl0_5
  <=> e_491 = select(a_477,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1888,plain,
    ( i2 = i_490
    | e_491 = select(a_475,i_490)
    | ~ spl0_5 ),
    inference(superposition,[],[f195,f57]) ).

fof(f57,plain,
    ! [X11] :
      ( select(a_477,X11) = select(a_475,X11)
      | i2 = X11 ),
    inference(superposition,[],[f2,f9]) ).

fof(f9,axiom,
    a_477 = store(a_475,i2,e_476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f195,plain,
    ( e_491 = select(a_477,i_490)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f2046,plain,
    ( spl0_45
    | spl0_9
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2045,f1905,f221,f1466]) ).

fof(f1466,plain,
    ( spl0_45
  <=> e_468 = e_476 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1905,plain,
    ( spl0_63
  <=> e_476 = select(a_471,i0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2045,plain,
    ( i0 = i3
    | e_468 = e_476
    | ~ spl0_63 ),
    inference(forward_demodulation,[],[f2042,f34]) ).

fof(f34,plain,
    e_468 = select(a_469,i0),
    inference(superposition,[],[f1,f5]) ).

fof(f2042,plain,
    ( e_476 = select(a_469,i0)
    | i0 = i3
    | ~ spl0_63 ),
    inference(superposition,[],[f53,f1907]) ).

fof(f1907,plain,
    ( e_476 = select(a_471,i0)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f1905]) ).

fof(f53,plain,
    ! [X7] :
      ( select(a_469,X7) = select(a_471,X7)
      | i3 = X7 ),
    inference(superposition,[],[f2,f6]) ).

fof(f2034,plain,
    ( ~ spl0_68
    | spl0_9
    | spl0_55 ),
    inference(avatar_split_clause,[],[f2033,f1764,f221,f2025]) ).

fof(f1764,plain,
    ( spl0_55
  <=> e_468 = select(a_473,i0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2033,plain,
    ( i0 = i3
    | e_468 != select(a_471,i0)
    | spl0_55 ),
    inference(superposition,[],[f1765,f54]) ).

fof(f54,plain,
    ! [X8] :
      ( select(a_473,X8) = select(a_471,X8)
      | i3 = X8 ),
    inference(superposition,[],[f2,f7]) ).

fof(f1765,plain,
    ( e_468 != select(a_473,i0)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f1764]) ).

fof(f2031,plain,
    ( spl0_68
    | spl0_9
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f2021,f1764,f221,f2025]) ).

fof(f2021,plain,
    ( i0 = i3
    | e_468 = select(a_471,i0)
    | ~ spl0_55 ),
    inference(superposition,[],[f1766,f54]) ).

fof(f1766,plain,
    ( e_468 = select(a_473,i0)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f1764]) ).

fof(f2030,plain,
    ( spl0_45
    | ~ spl0_55
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2022,f1797,f1764,f1466]) ).

fof(f2022,plain,
    ( e_468 = e_476
    | ~ spl0_55
    | ~ spl0_57 ),
    inference(superposition,[],[f1799,f1766]) ).

fof(f2019,plain,
    ( ~ spl0_45
    | ~ spl0_46
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1973,f1848,f1813,f1556,f1466]) ).

fof(f1556,plain,
    ( spl0_46
  <=> e_468 = e_488 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1973,plain,
    ( e_468 != e_476
    | ~ spl0_46
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(superposition,[],[f1956,f1558]) ).

fof(f1558,plain,
    ( e_468 = e_488
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f1956,plain,
    ( e_476 != e_488
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f1955,f1815]) ).

fof(f1955,plain,
    ( e_488 != e_491
    | ~ spl0_59 ),
    inference(superposition,[],[f31,f1951]) ).

fof(f1951,plain,
    ( e_488 = e_492
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f1943,f45]) ).

fof(f1943,plain,
    ( e_492 = select(a_489,i2)
    | ~ spl0_59 ),
    inference(superposition,[],[f29,f1850]) ).

fof(f1969,plain,
    ( spl0_9
    | spl0_46
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1968,f1927,f1556,f221]) ).

fof(f1968,plain,
    ( e_468 = e_488
    | i0 = i3
    | ~ spl0_65 ),
    inference(forward_demodulation,[],[f1962,f36]) ).

fof(f36,plain,
    e_468 = select(a_481,i0),
    inference(superposition,[],[f1,f12]) ).

fof(f1962,plain,
    ( i0 = i3
    | e_488 = select(a_481,i0)
    | ~ spl0_65 ),
    inference(superposition,[],[f1929,f55]) ).

fof(f55,plain,
    ! [X9] :
      ( select(a_481,X9) = select(a_483,X9)
      | i3 = X9 ),
    inference(superposition,[],[f2,f13]) ).

fof(f1936,plain,
    ( spl0_31
    | spl0_59 ),
    inference(avatar_split_clause,[],[f1012,f1848,f1039]) ).

fof(f1039,plain,
    ( spl0_31
  <=> e_492 = select(a_487,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1012,plain,
    ( i2 = i_490
    | e_492 = select(a_487,i_490) ),
    inference(superposition,[],[f29,f59]) ).

fof(f59,plain,
    ! [X13] :
      ( select(a_487,X13) = select(a_489,X13)
      | i2 = X13 ),
    inference(superposition,[],[f2,f16]) ).

fof(f1935,plain,
    ( spl0_65
    | spl0_11 ),
    inference(avatar_split_clause,[],[f997,f230,f1927]) ).

fof(f997,plain,
    ( i0 = i2
    | e_488 = select(a_483,i0) ),
    inference(superposition,[],[f58,f27]) ).

fof(f27,axiom,
    e_488 = select(a_485,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

fof(f1909,plain,
    ( spl0_63
    | spl0_9
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1902,f1797,f221,f1905]) ).

fof(f1902,plain,
    ( i0 = i3
    | e_476 = select(a_471,i0)
    | ~ spl0_57 ),
    inference(superposition,[],[f1799,f54]) ).

fof(f1891,plain,
    ( spl0_58
    | ~ spl0_5
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1890,f1848,f193,f1813]) ).

fof(f1890,plain,
    ( e_476 = e_491
    | ~ spl0_5
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f1887,f43]) ).

fof(f43,plain,
    e_476 = select(a_477,i2),
    inference(superposition,[],[f1,f9]) ).

fof(f1887,plain,
    ( e_491 = select(a_477,i2)
    | ~ spl0_5
    | ~ spl0_59 ),
    inference(superposition,[],[f195,f1850]) ).

fof(f1843,plain,
    ( ~ spl0_7
    | ~ spl0_54 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1842,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f1841]) ).

fof(f1841,plain,
    ( e_470 != e_470
    | ~ spl0_7
    | ~ spl0_54 ),
    inference(superposition,[],[f1833,f1380]) ).

fof(f1380,plain,
    ( e_470 = e_491
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1379,f67]) ).

fof(f67,plain,
    e_470 = e_478,
    inference(forward_demodulation,[],[f65,f63]) ).

fof(f65,plain,
    e_474 = e_478,
    inference(superposition,[],[f42,f23]) ).

fof(f23,axiom,
    e_478 = select(a_475,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

fof(f42,plain,
    e_474 = select(a_475,i2),
    inference(superposition,[],[f1,f8]) ).

fof(f1379,plain,
    ( e_478 = e_491
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1367,f35]) ).

fof(f35,plain,
    e_478 = select(a_479,i0),
    inference(superposition,[],[f1,f10]) ).

fof(f10,axiom,
    a_479 = store(a_477,i0,e_478),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f1367,plain,
    ( e_491 = select(a_479,i0)
    | ~ spl0_7 ),
    inference(superposition,[],[f28,f206]) ).

fof(f206,plain,
    ( i0 = i_490
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl0_7
  <=> i0 = i_490 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f28,axiom,
    e_491 = select(a_479,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).

fof(f1833,plain,
    ( e_470 != e_491
    | ~ spl0_54 ),
    inference(superposition,[],[f31,f1759]) ).

fof(f1759,plain,
    ( e_470 = e_492
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f1757,plain,
    ( spl0_54
  <=> e_470 = e_492 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1806,plain,
    ( spl0_57
    | spl0_11 ),
    inference(avatar_split_clause,[],[f934,f230,f1797]) ).

fof(f934,plain,
    ( i0 = i2
    | e_476 = select(a_473,i0) ),
    inference(superposition,[],[f56,f22]) ).

fof(f22,axiom,
    e_476 = select(a_475,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

fof(f1767,plain,
    ( spl0_11
    | spl0_55
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1762,f1466,f1764,f230]) ).

fof(f1762,plain,
    ( e_468 = select(a_473,i0)
    | i0 = i2
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f934,f1468]) ).

fof(f1468,plain,
    ( e_468 = e_476
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f1760,plain,
    ( spl0_11
    | spl0_54
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1755,f217,f204,f1757,f230]) ).

fof(f217,plain,
    ( spl0_8
  <=> e_470 = e_484 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1755,plain,
    ( e_470 = e_492
    | i0 = i2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1707,f219]) ).

fof(f219,plain,
    ( e_470 = e_484
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f1707,plain,
    ( i0 = i2
    | e_484 = e_492
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1671,f71]) ).

fof(f71,plain,
    e_484 = e_486,
    inference(superposition,[],[f26,f44]) ).

fof(f44,plain,
    e_484 = select(a_485,i2),
    inference(superposition,[],[f1,f14]) ).

fof(f26,axiom,
    e_486 = select(a_485,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

fof(f1671,plain,
    ( i0 = i2
    | e_486 = e_492
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1670,f37]) ).

fof(f37,plain,
    e_486 = select(a_487,i0),
    inference(superposition,[],[f1,f15]) ).

fof(f15,axiom,
    a_487 = store(a_485,i0,e_486),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

fof(f1670,plain,
    ( e_492 = select(a_487,i0)
    | i0 = i2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1669,f206]) ).

fof(f1669,plain,
    ( e_492 = select(a_487,i_490)
    | i0 = i2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1007,f206]) ).

fof(f1007,plain,
    ( e_492 = select(a_487,i_490)
    | i2 = i_490 ),
    inference(superposition,[],[f59,f29]) ).

fof(f1455,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1451]) ).

fof(f1451,plain,
    ( e_468 != e_468
    | spl0_8
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(superposition,[],[f1366,f1418]) ).

fof(f1418,plain,
    ( e_468 = e_484
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1407,f36]) ).

fof(f1407,plain,
    ( e_484 = select(a_481,i0)
    | ~ spl0_9 ),
    inference(superposition,[],[f25,f223]) ).

fof(f25,axiom,
    e_484 = select(a_481,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

fof(f1366,plain,
    ( e_468 != e_484
    | spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f218,f311]) ).

fof(f218,plain,
    ( e_470 != e_484
    | spl0_8 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f1439,plain,
    ( ~ spl0_16
    | ~ spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f1364,f366,f230,f333]) ).

fof(f333,plain,
    ( spl0_16
  <=> e_468 = e_472 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1364,plain,
    ( e_468 != e_472
    | ~ spl0_11
    | spl0_17 ),
    inference(forward_demodulation,[],[f1363,f34]) ).

fof(f1363,plain,
    ( e_472 != select(a_469,i0)
    | ~ spl0_11
    | spl0_17 ),
    inference(forward_demodulation,[],[f367,f232]) ).

fof(f232,plain,
    ( i0 = i2
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f367,plain,
    ( e_472 != select(a_469,i2)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f1417,plain,
    ( spl0_16
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1416,f310,f230,f221,f333]) ).

fof(f1416,plain,
    ( e_468 = e_472
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1415,f311]) ).

fof(f1415,plain,
    ( e_470 = e_472
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1414,f63]) ).

fof(f1414,plain,
    ( e_472 = e_474
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1406,f757]) ).

fof(f757,plain,
    ( e_472 = select(a_471,i0)
    | ~ spl0_11 ),
    inference(superposition,[],[f20,f232]) ).

fof(f20,axiom,
    e_472 = select(a_471,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

fof(f1406,plain,
    ( e_474 = select(a_471,i0)
    | ~ spl0_9 ),
    inference(superposition,[],[f21,f223]) ).

fof(f1361,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1360,f1198,f221,f204]) ).

fof(f1360,plain,
    ( i0 = i_490
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1200,f223]) ).

fof(f1348,plain,
    ~ spl0_43,
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1346]) ).

fof(f1346,plain,
    ( e_491 != e_491
    | ~ spl0_43 ),
    inference(superposition,[],[f31,f1341]) ).

fof(f1341,plain,
    ( e_491 = e_492
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f1339]) ).

fof(f1339,plain,
    ( spl0_43
  <=> e_491 = e_492 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1344,plain,
    ( spl0_43
    | spl0_36
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1343,f1323,f1315,f1198,f1339]) ).

fof(f1315,plain,
    ( spl0_40
  <=> e_492 = select(a_480,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1323,plain,
    ( spl0_41
  <=> e_491 = select(a_467,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1343,plain,
    ( i3 = i_490
    | e_491 = e_492
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f1336,f1325]) ).

fof(f1325,plain,
    ( e_491 = select(a_467,i_490)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f1336,plain,
    ( i3 = i_490
    | e_492 = select(a_467,i_490)
    | ~ spl0_40 ),
    inference(superposition,[],[f52,f1317]) ).

fof(f1317,plain,
    ( e_492 = select(a_480,i_490)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f1315]) ).

fof(f52,plain,
    ! [X6] :
      ( select(a_480,X6) = select(a_467,X6)
      | i3 = X6 ),
    inference(superposition,[],[f2,f11]) ).

fof(f1327,plain,
    ( spl0_7
    | spl0_41
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1320,f1216,f1323,f204]) ).

fof(f1216,plain,
    ( spl0_38
  <=> e_491 = select(a_469,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1320,plain,
    ( e_491 = select(a_467,i_490)
    | i0 = i_490
    | ~ spl0_38 ),
    inference(superposition,[],[f1218,f48]) ).

fof(f1218,plain,
    ( e_491 = select(a_469,i_490)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f1216]) ).

fof(f1319,plain,
    ( spl0_40
    | spl0_7
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1312,f1202,f204,f1315]) ).

fof(f1202,plain,
    ( spl0_37
  <=> e_492 = select(a_481,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1312,plain,
    ( i0 = i_490
    | e_492 = select(a_480,i_490)
    | ~ spl0_37 ),
    inference(superposition,[],[f1204,f50]) ).

fof(f50,plain,
    ! [X4] :
      ( select(a_480,X4) = select(a_481,X4)
      | i0 = X4 ),
    inference(superposition,[],[f2,f12]) ).

fof(f1204,plain,
    ( e_492 = select(a_481,i_490)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1289,plain,
    ( ~ spl0_16
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f1288]) ).

fof(f1288,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(trivial_inequality_removal,[],[f1287]) ).

fof(f1287,plain,
    ( e_468 != e_468
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(superposition,[],[f1286,f1283]) ).

fof(f1283,plain,
    ( e_468 = e_491
    | ~ spl0_16
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1282,f335]) ).

fof(f335,plain,
    ( e_468 = e_472
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f1282,plain,
    ( e_472 = e_491
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1278,f40]) ).

fof(f1278,plain,
    ( e_491 = select(a_473,i3)
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(superposition,[],[f963,f1200]) ).

fof(f1286,plain,
    ( e_468 != e_491
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(superposition,[],[f31,f1285]) ).

fof(f1285,plain,
    ( e_468 = e_492
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1284,f411]) ).

fof(f411,plain,
    ( e_468 = e_482
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_18
  <=> e_468 = e_482 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1284,plain,
    ( e_482 = e_492
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1281,f41]) ).

fof(f1281,plain,
    ( e_492 = select(a_483,i3)
    | ~ spl0_34
    | ~ spl0_36 ),
    inference(superposition,[],[f1172,f1200]) ).

fof(f1172,plain,
    ( e_492 = select(a_483,i_490)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f1256,plain,
    ( spl0_28
    | spl0_36
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f967,f961,f1198,f971]) ).

fof(f971,plain,
    ( spl0_28
  <=> e_491 = select(a_471,i_490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f967,plain,
    ( i3 = i_490
    | e_491 = select(a_471,i_490)
    | ~ spl0_27 ),
    inference(superposition,[],[f963,f54]) ).

fof(f1220,plain,
    ( spl0_36
    | spl0_38
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1214,f971,f1216,f1198]) ).

fof(f1214,plain,
    ( e_491 = select(a_469,i_490)
    | i3 = i_490
    | ~ spl0_28 ),
    inference(superposition,[],[f53,f973]) ).

fof(f973,plain,
    ( e_491 = select(a_471,i_490)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f1206,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1195,f1170,f1202,f1198]) ).

fof(f1195,plain,
    ( e_492 = select(a_481,i_490)
    | i3 = i_490
    | ~ spl0_34 ),
    inference(superposition,[],[f1172,f55]) ).

fof(f1175,plain,
    ( spl0_34
    | spl0_7
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1174,f1050,f230,f204,f1170]) ).

fof(f1174,plain,
    ( i0 = i_490
    | e_492 = select(a_483,i_490)
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f1167,f232]) ).

fof(f1167,plain,
    ( e_492 = select(a_483,i_490)
    | i2 = i_490
    | ~ spl0_32 ),
    inference(superposition,[],[f58,f1052]) ).

fof(f1094,plain,
    ( spl0_16
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1093,f230,f221,f333]) ).

fof(f1093,plain,
    ( i0 = i3
    | e_468 = e_472
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f836,f34]) ).

fof(f836,plain,
    ( i0 = i3
    | e_472 = select(a_469,i0)
    | ~ spl0_11 ),
    inference(superposition,[],[f53,f757]) ).

fof(f1092,plain,
    ( spl0_16
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f800,f366,f230,f333]) ).

fof(f800,plain,
    ( e_468 = e_472
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f797,f34]) ).

fof(f797,plain,
    ( e_472 = select(a_469,i0)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(superposition,[],[f368,f232]) ).

fof(f1088,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1087,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1086]) ).

fof(f1086,plain,
    ( e_470 != e_470
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1072,f1083]) ).

fof(f1083,plain,
    ( e_470 = e_491
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1065,f67]) ).

fof(f1065,plain,
    ( e_478 = e_491
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1055,f35]) ).

fof(f1055,plain,
    ( e_491 = select(a_479,i0)
    | ~ spl0_7 ),
    inference(superposition,[],[f28,f206]) ).

fof(f1072,plain,
    ( e_470 != e_491
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f31,f1068]) ).

fof(f1068,plain,
    ( e_470 = e_492
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1067,f842]) ).

fof(f842,plain,
    ( e_470 = e_488
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f779,f27]) ).

fof(f779,plain,
    ( e_470 = select(a_485,i0)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f763,f219]) ).

fof(f763,plain,
    ( e_484 = select(a_485,i0)
    | ~ spl0_11 ),
    inference(superposition,[],[f44,f232]) ).

fof(f1067,plain,
    ( e_488 = e_492
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1056,f764]) ).

fof(f764,plain,
    ( e_488 = select(a_489,i0)
    | ~ spl0_11 ),
    inference(superposition,[],[f45,f232]) ).

fof(f1056,plain,
    ( e_492 = select(a_489,i0)
    | ~ spl0_7 ),
    inference(superposition,[],[f29,f206]) ).

fof(f1054,plain,
    ( spl0_32
    | spl0_7
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1047,f1039,f204,f1050]) ).

fof(f1047,plain,
    ( i0 = i_490
    | e_492 = select(a_485,i_490)
    | ~ spl0_31 ),
    inference(superposition,[],[f1041,f51]) ).

fof(f51,plain,
    ! [X5] :
      ( select(a_487,X5) = select(a_485,X5)
      | i0 = X5 ),
    inference(superposition,[],[f2,f15]) ).

fof(f1041,plain,
    ( e_492 = select(a_487,i_490)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f1044,plain,
    ( spl0_31
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1043,f230,f204,f1039]) ).

fof(f1043,plain,
    ( i0 = i_490
    | e_492 = select(a_487,i_490)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1012,f232]) ).

fof(f966,plain,
    ( spl0_27
    | spl0_7
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f965,f951,f230,f204,f961]) ).

fof(f965,plain,
    ( i0 = i_490
    | e_491 = select(a_473,i_490)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f957,f232]) ).

fof(f957,plain,
    ( i2 = i_490
    | e_491 = select(a_473,i_490)
    | ~ spl0_26 ),
    inference(superposition,[],[f953,f56]) ).

fof(f956,plain,
    ( spl0_26
    | spl0_7
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f955,f230,f193,f204,f951]) ).

fof(f955,plain,
    ( i0 = i_490
    | e_491 = select(a_475,i_490)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f945,f232]) ).

fof(f945,plain,
    ( e_491 = select(a_475,i_490)
    | i2 = i_490
    | ~ spl0_5 ),
    inference(superposition,[],[f57,f195]) ).

fof(f542,plain,
    ( spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f533,f319,f310]) ).

fof(f319,plain,
    ( spl0_15
  <=> e_468 = select(a_467,i0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f533,plain,
    ( e_468 = e_470
    | ~ spl0_15 ),
    inference(superposition,[],[f19,f320]) ).

fof(f320,plain,
    ( e_468 = select(a_467,i0)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f19,axiom,
    e_470 = select(a_467,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

fof(f474,plain,
    ( spl0_11
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f473,f269,f221,f230]) ).

fof(f473,plain,
    ( i0 = i2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f271,f223]) ).

fof(f271,plain,
    ( i3 = i2
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f471,plain,
    ( spl0_18
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f470,f230,f409]) ).

fof(f470,plain,
    ( e_468 = e_482
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f451,f36]) ).

fof(f451,plain,
    ( e_482 = select(a_481,i0)
    | ~ spl0_11 ),
    inference(superposition,[],[f24,f232]) ).

fof(f24,axiom,
    e_482 = select(a_481,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

fof(f370,plain,
    ( spl0_17
    | spl0_13 ),
    inference(avatar_split_clause,[],[f326,f269,f366]) ).

fof(f326,plain,
    ( i3 = i2
    | e_472 = select(a_469,i2) ),
    inference(superposition,[],[f53,f20]) ).

fof(f363,plain,
    ( spl0_15
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f351,f221,f319]) ).

fof(f351,plain,
    ( e_468 = select(a_467,i0)
    | ~ spl0_9 ),
    inference(superposition,[],[f18,f223]) ).

fof(f18,axiom,
    e_468 = select(a_467,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

fof(f273,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f261,f226,f269,f265]) ).

fof(f226,plain,
    ( spl0_10
  <=> e_482 = select(a_480,i2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f261,plain,
    ( i3 = i2
    | e_482 = select(a_467,i2)
    | ~ spl0_10 ),
    inference(superposition,[],[f52,f228]) ).

fof(f228,plain,
    ( e_482 = select(a_480,i2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f236,plain,
    ( spl0_11
    | spl0_10 ),
    inference(avatar_split_clause,[],[f214,f226,f230]) ).

fof(f214,plain,
    ( e_482 = select(a_480,i2)
    | i0 = i2 ),
    inference(superposition,[],[f24,f50]) ).

fof(f235,plain,
    ( spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f234,f217,f221]) ).

fof(f234,plain,
    ( e_470 = e_484
    | i0 = i3 ),
    inference(forward_demodulation,[],[f210,f38]) ).

fof(f38,plain,
    e_470 = select(a_480,i3),
    inference(superposition,[],[f1,f11]) ).

fof(f210,plain,
    ( i0 = i3
    | e_484 = select(a_480,i3) ),
    inference(superposition,[],[f50,f25]) ).

fof(f208,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f186,f204,f193]) ).

fof(f186,plain,
    ( i0 = i_490
    | e_491 = select(a_477,i_490) ),
    inference(superposition,[],[f49,f28]) ).

fof(f49,plain,
    ! [X3] :
      ( select(a_479,X3) = select(a_477,X3)
      | i0 = X3 ),
    inference(superposition,[],[f2,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV537-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:03:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (1370)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50  % (1354)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (1358)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (1354)Instruction limit reached!
% 0.20/0.50  % (1354)------------------------------
% 0.20/0.50  % (1354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1362)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (1354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (1354)Termination reason: Unknown
% 0.20/0.51  % (1354)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (1354)Memory used [KB]: 5500
% 0.20/0.51  % (1354)Time elapsed: 0.099 s
% 0.20/0.51  % (1354)Instructions burned: 8 (million)
% 0.20/0.51  % (1354)------------------------------
% 0.20/0.51  % (1354)------------------------------
% 0.20/0.51  % (1359)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (1350)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1347)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (1348)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (1351)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (1352)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (1349)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (1372)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (1357)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (1360)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (1369)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (1361)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (1374)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (1364)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (1356)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (1375)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (1355)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (1376)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (1355)Instruction limit reached!
% 0.20/0.54  % (1355)------------------------------
% 0.20/0.54  % (1355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1355)Termination reason: Unknown
% 0.20/0.54  % (1355)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (1355)Memory used [KB]: 5373
% 0.20/0.54  % (1355)Time elapsed: 0.149 s
% 0.20/0.54  % (1355)Instructions burned: 3 (million)
% 0.20/0.54  % (1355)------------------------------
% 0.20/0.54  % (1355)------------------------------
% 0.20/0.54  % (1366)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (1373)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (1367)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (1363)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (1368)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (1365)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (1353)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (1371)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  TRYING [3]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  TRYING [4]
% 0.20/0.59  % (1362)Instruction limit reached!
% 0.20/0.59  % (1362)------------------------------
% 0.20/0.59  % (1362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (1362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (1362)Termination reason: Unknown
% 0.20/0.59  % (1362)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (1362)Memory used [KB]: 1279
% 0.20/0.59  % (1362)Time elapsed: 0.192 s
% 0.20/0.59  % (1362)Instructions burned: 75 (million)
% 0.20/0.59  % (1362)------------------------------
% 0.20/0.59  % (1362)------------------------------
% 0.20/0.59  % (1358)First to succeed.
% 0.20/0.59  TRYING [4]
% 0.20/0.60  % (1350)Instruction limit reached!
% 0.20/0.60  % (1350)------------------------------
% 0.20/0.60  % (1350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (1350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (1350)Termination reason: Unknown
% 0.20/0.60  % (1350)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (1350)Memory used [KB]: 6140
% 0.20/0.60  % (1350)Time elapsed: 0.205 s
% 0.20/0.60  % (1350)Instructions burned: 52 (million)
% 0.20/0.60  % (1350)------------------------------
% 0.20/0.60  % (1350)------------------------------
% 0.20/0.61  TRYING [4]
% 0.20/0.61  % (1353)Instruction limit reached!
% 0.20/0.61  % (1353)------------------------------
% 0.20/0.61  % (1353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (1353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (1353)Termination reason: Unknown
% 0.20/0.61  % (1353)Termination phase: Finite model building constraint generation
% 0.20/0.61  
% 0.20/0.61  % (1353)Memory used [KB]: 6780
% 0.20/0.61  % (1353)Time elapsed: 0.178 s
% 0.20/0.61  % (1353)Instructions burned: 52 (million)
% 0.20/0.61  % (1353)------------------------------
% 0.20/0.61  % (1353)------------------------------
% 0.20/0.61  % (1349)Instruction limit reached!
% 0.20/0.61  % (1349)------------------------------
% 0.20/0.61  % (1349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (1349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (1349)Termination reason: Unknown
% 0.20/0.61  % (1349)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (1349)Memory used [KB]: 1151
% 0.20/0.61  % (1349)Time elapsed: 0.216 s
% 0.20/0.61  % (1349)Instructions burned: 38 (million)
% 0.20/0.61  % (1349)------------------------------
% 0.20/0.61  % (1349)------------------------------
% 0.20/0.61  % (1351)Instruction limit reached!
% 0.20/0.61  % (1351)------------------------------
% 0.20/0.61  % (1351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (1351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (1351)Termination reason: Unknown
% 0.20/0.61  % (1351)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (1351)Memory used [KB]: 5884
% 0.20/0.61  % (1351)Time elapsed: 0.224 s
% 0.20/0.61  % (1351)Instructions burned: 51 (million)
% 0.20/0.61  % (1351)------------------------------
% 0.20/0.61  % (1351)------------------------------
% 0.20/0.61  % (1358)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.62  % (1358)------------------------------
% 0.20/0.62  % (1358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (1358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (1358)Termination reason: Refutation
% 0.20/0.62  
% 0.20/0.62  % (1358)Memory used [KB]: 6396
% 0.20/0.62  % (1358)Time elapsed: 0.177 s
% 0.20/0.62  % (1358)Instructions burned: 57 (million)
% 0.20/0.62  % (1358)------------------------------
% 0.20/0.62  % (1358)------------------------------
% 0.20/0.62  % (1346)Success in time 0.261 s
%------------------------------------------------------------------------------