TSTP Solution File: GRP480-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP480-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n008.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 16:15:58 EDT 2022

% Result   : Unsatisfiable 2.29s 0.65s
% Output   : Refutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   89 (   7 unt;   0 def)
%            Number of atoms       :  222 (  67 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  249 ( 116   ~; 114   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :   21 (  19 usr;  20 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  235 ( 235   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2742,plain,
    $false,
    inference(avatar_sat_refutation,[],[f9,f13,f19,f23,f65,f70,f112,f265,f695,f813,f1008,f1107,f1298,f1367,f1397,f1401,f1412,f1476,f1685,f2741]) ).

fof(f2741,plain,
    ( spl0_1
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f2740]) ).

fof(f2740,plain,
    ( $false
    | spl0_1
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(trivial_inequality_removal,[],[f2739]) ).

fof(f2739,plain,
    ( divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3))
    | spl0_1
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f1386,f1684]) ).

fof(f1684,plain,
    ( ! [X2,X3,X1] : divide(X3,divide(X1,X2)) = divide(divide(X3,inverse(X2)),X1)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f1683]) ).

fof(f1683,plain,
    ( spl0_34
  <=> ! [X2,X1,X3] : divide(X3,divide(X1,X2)) = divide(divide(X3,inverse(X2)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1386,plain,
    ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3))
    | spl0_1
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(backward_demodulation,[],[f8,f1372]) ).

fof(f1372,plain,
    ( ! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1))
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(superposition,[],[f1366,f1294]) ).

fof(f1294,plain,
    ( ! [X263,X262,X258] : divide(X258,X263) = divide(divide(X258,X262),divide(X263,X262))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1293,plain,
    ( spl0_21
  <=> ! [X263,X262,X258] : divide(X258,X263) = divide(divide(X258,X262),divide(X263,X262)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1366,plain,
    ( ! [X19,X23] : inverse(divide(divide(X23,X23),X19)) = X19
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1365,plain,
    ( spl0_23
  <=> ! [X23,X19] : inverse(divide(divide(X23,X23),X19)) = X19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f8,plain,
    ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f6]) ).

fof(f6,plain,
    ( spl0_1
  <=> divide(divide(a3,inverse(b3)),inverse(c3)) = divide(a3,inverse(divide(b3,inverse(c3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1685,plain,
    ( spl0_34
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1487,f1474,f1293,f1683]) ).

fof(f1474,plain,
    ( spl0_29
  <=> ! [X4,X3] : divide(divide(X4,X3),inverse(X3)) = X4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1487,plain,
    ( ! [X2,X3,X1] : divide(X3,divide(X1,X2)) = divide(divide(X3,inverse(X2)),X1)
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(superposition,[],[f1294,f1475]) ).

fof(f1475,plain,
    ( ! [X3,X4] : divide(divide(X4,X3),inverse(X3)) = X4
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f1476,plain,
    ( spl0_29
    | ~ spl0_21
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1428,f1410,f1399,f1293,f1474]) ).

fof(f1399,plain,
    ( spl0_25
  <=> ! [X23,X19] : divide(X19,divide(X23,X23)) = X19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1410,plain,
    ( spl0_26
  <=> ! [X4,X3] : divide(divide(X4,X4),X3) = inverse(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1428,plain,
    ( ! [X3,X4] : divide(divide(X4,X3),inverse(X3)) = X4
    | ~ spl0_21
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1419,f1400]) ).

fof(f1400,plain,
    ( ! [X19,X23] : divide(X19,divide(X23,X23)) = X19
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f1399]) ).

fof(f1419,plain,
    ( ! [X2,X3,X4] : divide(divide(X4,X3),inverse(X3)) = divide(X4,divide(X2,X2))
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(superposition,[],[f1294,f1411]) ).

fof(f1411,plain,
    ( ! [X3,X4] : divide(divide(X4,X4),X3) = inverse(X3)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f1412,plain,
    ( spl0_26
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1407,f1399,f1395,f1410]) ).

fof(f1395,plain,
    ( spl0_24
  <=> ! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1407,plain,
    ( ! [X3,X4] : divide(divide(X4,X4),X3) = inverse(X3)
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(superposition,[],[f1396,f1400]) ).

fof(f1396,plain,
    ( ! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f1395]) ).

fof(f1401,plain,
    ( spl0_25
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1393,f1365,f1293,f1399]) ).

fof(f1393,plain,
    ( ! [X19,X23] : divide(X19,divide(X23,X23)) = X19
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(backward_demodulation,[],[f1366,f1372]) ).

fof(f1397,plain,
    ( spl0_24
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1372,f1365,f1293,f1395]) ).

fof(f1367,plain,
    ( spl0_23
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1357,f1293,f21,f11,f1365]) ).

fof(f11,plain,
    ( spl0_2
  <=> ! [X0,X3,X2,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f21,plain,
    ( spl0_4
  <=> ! [X3,X4,X0,X5,X2,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1357,plain,
    ( ! [X19,X23] : inverse(divide(divide(X23,X23),X19)) = X19
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1356,f1294]) ).

fof(f1356,plain,
    ( ! [X19,X22,X23] : inverse(divide(divide(divide(X23,X23),X22),divide(X19,X22))) = X19
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1321,f12]) ).

fof(f12,plain,
    ( ! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f1321,plain,
    ( ! [X21,X19,X24,X22,X23,X20] : inverse(divide(divide(divide(X23,X23),X22),divide(X19,X22))) = divide(inverse(divide(divide(divide(X24,X24),X20),divide(X19,divide(X20,X21)))),X21)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f22,f1294]) ).

fof(f22,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f1298,plain,
    ( spl0_21
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1254,f1104,f110,f1293]) ).

fof(f110,plain,
    ( spl0_7
  <=> ! [X18,X20,X17,X19] : divide(divide(X18,X20),divide(X17,X20)) = divide(divide(X18,X19),divide(X17,X19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1104,plain,
    ( spl0_19
  <=> ! [X0,X3,X2,X1] : divide(X1,inverse(divide(divide(divide(X0,X0),X3),divide(divide(X2,X2),X3)))) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1254,plain,
    ( ! [X270,X275,X274] : divide(X274,X270) = divide(divide(X274,X275),divide(X270,X275))
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1192,f1105]) ).

fof(f1105,plain,
    ( ! [X2,X3,X0,X1] : divide(X1,inverse(divide(divide(divide(X0,X0),X3),divide(divide(X2,X2),X3)))) = X1
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f1104]) ).

fof(f1192,plain,
    ( ! [X273,X271,X272,X270,X275,X274] : divide(divide(X274,X275),divide(X270,X275)) = divide(divide(X274,inverse(divide(divide(divide(X271,X271),X272),divide(divide(X273,X273),X272)))),X270)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(superposition,[],[f111,f1105]) ).

fof(f111,plain,
    ( ! [X18,X19,X17,X20] : divide(divide(X18,X20),divide(X17,X20)) = divide(divide(X18,X19),divide(X17,X19))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f1107,plain,
    ( spl0_19
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1036,f1004,f110,f1104]) ).

fof(f1004,plain,
    ( spl0_18
  <=> ! [X495,X494,X496,X497] : divide(X494,inverse(divide(divide(divide(X495,X495),X494),divide(divide(X496,X496),X497)))) = X497 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1036,plain,
    ( ! [X6,X7,X4,X5] : divide(X5,inverse(divide(divide(divide(X4,X4),X7),divide(divide(X6,X6),X7)))) = X5
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(superposition,[],[f1005,f111]) ).

fof(f1005,plain,
    ( ! [X495,X494,X496,X497] : divide(X494,inverse(divide(divide(divide(X495,X495),X494),divide(divide(X496,X496),X497)))) = X497
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1008,plain,
    ( spl0_18
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1000,f810,f63,f1004]) ).

fof(f63,plain,
    ( spl0_5
  <=> ! [X10,X11,X13,X12] : divide(divide(inverse(divide(divide(divide(X13,X13),X11),X10)),X12),divide(X11,X12)) = X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f810,plain,
    ( spl0_17
  <=> ! [X4,X0,X5,X2,X1] : divide(X2,divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X0,X0),X1))))) = divide(X2,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1000,plain,
    ( ! [X513,X515,X512,X514] : divide(X512,inverse(divide(divide(divide(X513,X513),X512),divide(divide(X514,X514),X515)))) = X515
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f930,f64]) ).

fof(f64,plain,
    ( ! [X10,X11,X12,X13] : divide(divide(inverse(divide(divide(divide(X13,X13),X11),X10)),X12),divide(X11,X12)) = X10
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f930,plain,
    ( ! [X513,X511,X515,X510,X512,X516,X514] : divide(X512,inverse(divide(divide(divide(X513,X513),X512),divide(divide(X514,X514),X515)))) = divide(divide(inverse(divide(divide(divide(X510,X510),X511),X515)),X516),divide(X511,X516))
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(superposition,[],[f64,f811]) ).

fof(f811,plain,
    ( ! [X2,X0,X1,X4,X5] : divide(X2,divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X0,X0),X1))))) = divide(X2,X1)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( spl0_17
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f758,f693,f259,f810]) ).

fof(f259,plain,
    ( spl0_12
  <=> ! [X173,X171,X172,X170,X174] : divide(X172,X171) = divide(divide(inverse(divide(divide(divide(X170,X170),X173),divide(X172,X173))),X174),divide(X171,X174)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f693,plain,
    ( spl0_14
  <=> ! [X4,X0,X3,X2,X1] : divide(divide(inverse(divide(X2,X3)),X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)) = X3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f758,plain,
    ( ! [X2,X0,X1,X4,X5] : divide(X2,divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X0,X0),X1))))) = divide(X2,X1)
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f260,f694]) ).

fof(f694,plain,
    ( ! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X2,X3)),X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)) = X3
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f260,plain,
    ( ! [X170,X171,X174,X172,X173] : divide(X172,X171) = divide(divide(inverse(divide(divide(divide(X170,X170),X173),divide(X172,X173))),X174),divide(X171,X174))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f695,plain,
    ( spl0_14
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f72,f63,f693]) ).

fof(f72,plain,
    ( ! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X2,X3)),X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)) = X3
    | ~ spl0_5 ),
    inference(superposition,[],[f64,f64]) ).

fof(f265,plain,
    ( spl0_12
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f197,f110,f63,f259]) ).

fof(f197,plain,
    ( ! [X170,X171,X174,X172,X173] : divide(X172,X171) = divide(divide(inverse(divide(divide(divide(X170,X170),X173),divide(X172,X173))),X174),divide(X171,X174))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f64,f111]) ).

fof(f112,plain,
    ( spl0_7
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f107,f67,f63,f110]) ).

fof(f67,plain,
    ( spl0_6
  <=> ! [X65,X69,X67,X68] : inverse(divide(divide(divide(X68,X68),X69),divide(divide(X67,X65),divide(X69,X65)))) = X67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f107,plain,
    ( ! [X18,X19,X17,X20] : divide(divide(X18,X20),divide(X17,X20)) = divide(divide(X18,X19),divide(X17,X19))
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f64,f68]) ).

fof(f68,plain,
    ( ! [X65,X68,X69,X67] : inverse(divide(divide(divide(X68,X68),X69),divide(divide(X67,X65),divide(X69,X65)))) = X67
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f70,plain,
    ( spl0_6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f61,f21,f17,f11,f67]) ).

fof(f17,plain,
    ( spl0_3
  <=> ! [X3,X4,X0,X5,X2,X1] : divide(inverse(divide(divide(divide(X4,X4),inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3))))),divide(X5,X2))),X3) = X5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f61,plain,
    ( ! [X11,X9,X12,X13] : inverse(divide(divide(divide(X12,X12),X13),divide(divide(X11,X9),divide(X13,X9)))) = X11
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f46,f12]) ).

fof(f46,plain,
    ( ! [X10,X11,X8,X9,X7,X12,X13] : inverse(divide(divide(divide(X12,X12),X13),divide(divide(X11,X9),divide(X13,divide(inverse(divide(divide(divide(X7,X7),X8),divide(X9,divide(X8,X10)))),X10))))) = X11
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f22,f18]) ).

fof(f18,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X4,X4),inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3))))),divide(X5,X2))),X3) = X5
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f65,plain,
    ( spl0_5
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f49,f21,f11,f63]) ).

fof(f49,plain,
    ( ! [X10,X11,X12,X13] : divide(divide(inverse(divide(divide(divide(X13,X13),X11),X10)),X12),divide(X11,X12)) = X10
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f12,f22]) ).

fof(f23,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f15,f11,f21]) ).

fof(f15,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4)
    | ~ spl0_2 ),
    inference(superposition,[],[f12,f12]) ).

fof(f19,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f14,f11,f17]) ).

fof(f14,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X4,X4),inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3))))),divide(X5,X2))),X3) = X5
    | ~ spl0_2 ),
    inference(superposition,[],[f12,f12]) ).

fof(f13,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f1,f11]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f9,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f4,f6]) ).

fof(f4,plain,
    divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
    inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : GRP480-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 22:35:10 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.47  % (19010)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.47  % (19012)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.17/0.47  % (18999)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.17/0.48  % (19003)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.48  % (19001)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.48  % (19002)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.49  % (19004)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.17/0.49  % (19005)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.49  % (19007)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.49  % (19025)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.17/0.49  % (19030)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.17/0.49  % (19015)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.17/0.49  % (19002)Instruction limit reached!
% 0.17/0.49  % (19002)------------------------------
% 0.17/0.49  % (19002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (19002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (19002)Termination reason: Unknown
% 0.17/0.49  % (19002)Termination phase: Saturation
% 0.17/0.49  
% 0.17/0.49  % (19002)Memory used [KB]: 5500
% 0.17/0.49  % (19002)Time elapsed: 0.110 s
% 0.17/0.49  % (19002)Instructions burned: 6 (million)
% 0.17/0.49  % (19002)------------------------------
% 0.17/0.49  % (19002)------------------------------
% 0.17/0.49  % (19018)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.17/0.49  % (19009)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.50  % (19013)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.17/0.50  % (19031)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.50  % (19000)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.17/0.50  % (19027)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.50  % (19000)Instruction limit reached!
% 0.17/0.50  % (19000)------------------------------
% 0.17/0.50  % (19000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (19000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (19000)Termination reason: Unknown
% 0.17/0.50  % (19000)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (19019)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.50  % (19026)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.17/0.50  % (19022)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.17/0.51  % (19029)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.17/0.51  % (19023)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.17/0.51  % (19016)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.51  % (19005)Instruction limit reached!
% 0.17/0.51  % (19005)------------------------------
% 0.17/0.51  % (19005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (19005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (19005)Termination reason: Unknown
% 0.17/0.51  % (19005)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (19005)Memory used [KB]: 5628
% 0.17/0.51  % (19005)Time elapsed: 0.129 s
% 0.17/0.51  % (19005)Instructions burned: 9 (million)
% 0.17/0.51  % (19005)------------------------------
% 0.17/0.51  % (19005)------------------------------
% 0.17/0.51  % (19008)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.17/0.51  % (19021)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51  % (19004)Instruction limit reached!
% 0.17/0.51  % (19004)------------------------------
% 0.17/0.51  % (19004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (19004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (19004)Termination reason: Unknown
% 0.17/0.51  % (19004)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (19004)Memory used [KB]: 5756
% 0.17/0.51  % (19004)Time elapsed: 0.142 s
% 0.17/0.51  % (19004)Instructions burned: 21 (million)
% 0.17/0.51  % (19004)------------------------------
% 0.17/0.51  % (19004)------------------------------
% 0.17/0.52  % (19006)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.17/0.52  % (19014)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.17/0.52  % (19024)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.17/0.52  % (19000)Memory used [KB]: 5628
% 0.17/0.52  % (19000)Time elapsed: 0.119 s
% 0.17/0.52  % (19000)Instructions burned: 11 (million)
% 0.17/0.52  % (19000)------------------------------
% 0.17/0.52  % (19000)------------------------------
% 0.17/0.53  % (19003)Instruction limit reached!
% 0.17/0.53  % (19003)------------------------------
% 0.17/0.53  % (19003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (19010)Instruction limit reached!
% 0.17/0.54  % (19010)------------------------------
% 0.17/0.54  % (19010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (19010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (19010)Termination reason: Unknown
% 0.17/0.54  % (19010)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (19010)Memory used [KB]: 6396
% 0.17/0.54  % (19010)Time elapsed: 0.143 s
% 0.17/0.54  % (19010)Instructions burned: 49 (million)
% 0.17/0.54  % (19010)------------------------------
% 0.17/0.54  % (19010)------------------------------
% 0.17/0.54  % (19028)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.17/0.55  % (19007)Instruction limit reached!
% 0.17/0.55  % (19007)------------------------------
% 0.17/0.55  % (19007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (19007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (19007)Termination reason: Unknown
% 0.17/0.55  % (19007)Termination phase: Saturation
% 0.17/0.55  
% 0.17/0.55  % (19007)Memory used [KB]: 11001
% 0.17/0.55  % (19007)Time elapsed: 0.174 s
% 0.17/0.55  % (19007)Instructions burned: 37 (million)
% 0.17/0.55  % (19007)------------------------------
% 0.17/0.55  % (19007)------------------------------
% 0.17/0.55  % (19003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (19003)Termination reason: Unknown
% 0.17/0.55  % (19003)Termination phase: Saturation
% 0.17/0.55  
% 0.17/0.55  % (19003)Memory used [KB]: 6396
% 0.17/0.55  % (19003)Time elapsed: 0.158 s
% 0.17/0.55  % (19003)Instructions burned: 50 (million)
% 0.17/0.55  % (19003)------------------------------
% 0.17/0.55  % (19003)------------------------------
% 0.17/0.55  % (19001)Instruction limit reached!
% 0.17/0.55  % (19001)------------------------------
% 0.17/0.55  % (19001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (19001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (19001)Termination reason: Unknown
% 0.17/0.55  % (19001)Termination phase: Saturation
% 0.17/0.55  
% 0.17/0.55  % (19001)Memory used [KB]: 6268
% 0.17/0.55  % (19001)Time elapsed: 0.159 s
% 0.17/0.55  % (19001)Instructions burned: 38 (million)
% 0.17/0.55  % (19001)------------------------------
% 0.17/0.55  % (19001)------------------------------
% 0.17/0.56  % (19031)Instruction limit reached!
% 0.17/0.56  % (19031)------------------------------
% 0.17/0.56  % (19031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56  % (19031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56  % (19031)Termination reason: Unknown
% 0.17/0.56  % (19031)Termination phase: Saturation
% 0.17/0.56  
% 0.17/0.56  % (19031)Memory used [KB]: 6396
% 0.17/0.56  % (19031)Time elapsed: 0.157 s
% 0.17/0.56  % (19031)Instructions burned: 49 (million)
% 0.17/0.56  % (19031)------------------------------
% 0.17/0.56  % (19031)------------------------------
% 0.17/0.57  % (19016)Instruction limit reached!
% 0.17/0.57  % (19016)------------------------------
% 0.17/0.57  % (19016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57  % (19008)Instruction limit reached!
% 0.17/0.57  % (19008)------------------------------
% 0.17/0.57  % (19008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57  % (19016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57  % (19016)Termination reason: Unknown
% 0.17/0.57  % (19008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57  % (19016)Termination phase: Saturation
% 0.17/0.57  
% 0.17/0.57  % (19008)Termination reason: Unknown
% 0.17/0.57  % (19008)Termination phase: Saturation
% 0.17/0.57  
% 0.17/0.57  % (19016)Memory used [KB]: 6396
% 0.17/0.57  % (19016)Time elapsed: 0.199 s
% 0.17/0.57  % (19008)Memory used [KB]: 6140
% 0.17/0.57  % (19016)Instructions burned: 49 (million)
% 0.17/0.57  % (19008)Time elapsed: 0.184 s
% 0.17/0.57  % (19016)------------------------------
% 0.17/0.57  % (19016)------------------------------
% 0.17/0.57  % (19008)Instructions burned: 47 (million)
% 0.17/0.57  % (19008)------------------------------
% 0.17/0.57  % (19008)------------------------------
% 0.17/0.57  % (19009)Instruction limit reached!
% 0.17/0.57  % (19009)------------------------------
% 0.17/0.57  % (19009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57  % (19009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57  % (19009)Termination reason: Unknown
% 0.17/0.57  % (19009)Termination phase: Saturation
% 0.17/0.57  
% 0.17/0.57  % (19009)Memory used [KB]: 6396
% 0.17/0.57  % (19009)Time elapsed: 0.196 s
% 0.17/0.57  % (19009)Instructions burned: 38 (million)
% 0.17/0.57  % (19009)------------------------------
% 0.17/0.57  % (19009)------------------------------
% 0.17/0.57  % (19006)Instruction limit reached!
% 0.17/0.57  % (19006)------------------------------
% 0.17/0.57  % (19006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57  % (19006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57  % (19006)Termination reason: Unknown
% 0.17/0.57  % (19006)Termination phase: Saturation
% 0.17/0.57  
% 0.17/0.57  % (19006)Memory used [KB]: 6012
% 0.17/0.57  % (19006)Time elapsed: 0.149 s
% 0.17/0.57  % (19006)Instructions burned: 34 (million)
% 0.17/0.57  % (19006)------------------------------
% 0.17/0.57  % (19006)------------------------------
% 2.00/0.59  % (19090)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/257Mi)
% 2.29/0.64  % (19101)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 2.29/0.64  % (19096)lrs+10_1:3_acc=on:amm=off:avsq=on:avsqr=1729,253:bs=on:drc=off:fsr=off:lwlo=on:sac=on:slsq=on:slsqc=2:slsql=off:slsqr=1,8:sp=weighted_frequency:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/463Mi)
% 2.29/0.64  % (19012)First to succeed.
% 2.29/0.65  % (19012)Refutation found. Thanks to Tanya!
% 2.29/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.29/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.65  % (19012)------------------------------
% 2.29/0.65  % (19012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (19012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (19012)Termination reason: Refutation
% 2.29/0.65  
% 2.29/0.65  % (19012)Memory used [KB]: 8315
% 2.29/0.65  % (19012)Time elapsed: 0.264 s
% 2.29/0.65  % (19012)Instructions burned: 141 (million)
% 2.29/0.65  % (19012)------------------------------
% 2.29/0.65  % (19012)------------------------------
% 2.29/0.65  % (18996)Success in time 0.314 s
%------------------------------------------------------------------------------