TSTP Solution File: RNG001-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG001-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : 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 18:15:12 EDT 2022
% Result : Unsatisfiable 118.81s 15.36s
% Output : Refutation 118.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 284
% Syntax : Number of formulae : 1067 ( 399 unt; 0 def)
% Number of atoms : 1812 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 1221 ( 476 ~; 476 |; 0 &)
% ( 269 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 273 ( 272 usr; 270 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 382 ( 382 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49944,plain,
$false,
inference(avatar_smt_refutation,[],[f23,f48,f85,f111,f241,f276,f306,f359,f364,f400,f417,f481,f585,f628,f633,f685,f690,f925,f1035,f1040,f1188,f1308,f1313,f2123,f2128,f2215,f2220,f2455,f2456,f2768,f3183,f3188,f3193,f3198,f3199,f3204,f3283,f3325,f3342,f3463,f3468,f3469,f3474,f3479,f3480,f3485,f3490,f3495,f3500,f3688,f3693,f3698,f3703,f3708,f3709,f3714,f3715,f3720,f3725,f3985,f3990,f3995,f3996,f4001,f4006,f4011,f4016,f4285,f4290,f4295,f4300,f4512,f4517,f4522,f4527,f4532,f4537,f4538,f4543,f4548,f4553,f4554,f4606,f4611,f4612,f4617,f4622,f4627,f4628,f4633,f4634,f4639,f4644,f4645,f4650,f4655,f4656,f4661,f5348,f5353,f5358,f5359,f5364,f5369,f5370,f5375,f5380,f5640,f5645,f5650,f5655,f5660,f5661,f5666,f5667,f5672,f5673,f5678,f5683,f5684,f5944,f5949,f6002,f6007,f6012,f6117,f6373,f6378,f6383,f6613,f6614,f6615,f6616,f6617,f6711,f6712,f6713,f6714,f6715,f7267,f7272,f7277,f7282,f7287,f7292,f7404,f7409,f7414,f7419,f7424,f7429,f7434,f7488,f7807,f7973,f7978,f8429,f8603,f8608,f8613,f8614,f8935,f10438,f10443,f10618,f10660,f10665,f11095,f11100,f11105,f11110,f13188,f13193,f14020,f14025,f14030,f14035,f14040,f14041,f14046,f14051,f29435,f29440,f29441,f29442,f29447,f29452,f29457,f29462,f30343,f30348,f30353,f30358,f30363,f30368,f30373,f30378,f30379,f30384,f30816,f30821,f30866,f30871,f30876,f30881,f30886,f31080,f31363,f31368,f32476,f32481,f32526,f32531,f33732,f33941,f34184,f34189,f34341,f34346,f34351,f34356,f34361,f34366,f34512,f35456,f35757,f35762,f35767,f35772,f35777,f35782,f35787,f35792,f35821,f35826,f35949,f39046,f39197,f39972,f39973,f39978,f39983,f42055,f42209,f42214,f42219,f42224,f42229,f42234,f42239,f42844,f42849,f42854,f42859,f42864,f42869,f42874,f42879,f43236,f43289,f43837,f43842,f44101,f44106,f44164,f44169,f44174,f44179,f44184,f44189,f44435,f44476,f44513,f44729,f44734,f44739,f44744,f44749,f44754,f44759,f44968,f44973,f44978,f45277,f45473,f46541,f46546,f46773,f46778,f46783,f46788,f46793,f46798,f46803,f46808,f46922,f47602,f47607,f47897,f47902,f47907,f49865,f49943]) ).
fof(f49943,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f49866]) ).
fof(f49866,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f49726,f22]) ).
fof(f22,plain,
( ~ product(a,additive_identity,additive_identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl0_1
<=> product(a,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f49726,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(resolution,[],[f49235,f2]) ).
fof(f2,axiom,
! [X4] : sum(additive_identity,X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f49235,plain,
! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X1)
| product(X0,X1,additive_identity) ),
inference(resolution,[],[f48589,f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(multiply(X0,X1),multiply(X0,X2),X3)
| product(X0,X4,X3)
| ~ sum(X1,X2,X4) ),
inference(resolution,[],[f50,f4]) ).
fof(f4,axiom,
! [X4,X5] : product(X4,X5,multiply(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X2,multiply(X0,X3),X5)
| product(X0,X4,X5)
| ~ sum(X1,X3,X4) ),
inference(resolution,[],[f14,f4]) ).
fof(f14,axiom,
! [X10,X11,X7,X4,X5,X12,X13] :
( ~ product(X4,X7,X11)
| ~ product(X4,X5,X10)
| ~ sum(X5,X7,X12)
| ~ sum(X10,X11,X13)
| product(X4,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f48589,plain,
! [X152,X151] : sum(multiply(X151,additive_identity),multiply(X152,additive_identity),additive_identity),
inference(resolution,[],[f732,f727]) ).
fof(f727,plain,
! [X1] : sum(additive_identity,additive_identity,multiply(X1,additive_identity)),
inference(resolution,[],[f711,f118]) ).
fof(f118,plain,
! [X2,X3] :
( ~ sum(X2,additive_identity,X3)
| sum(X3,additive_identity,X2) ),
inference(resolution,[],[f64,f3]) ).
fof(f3,axiom,
! [X4] : sum(X4,additive_identity,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f64,plain,
! [X6,X7,X4,X5] :
( ~ sum(X4,X5,X7)
| ~ sum(X4,X5,X6)
| sum(X6,additive_identity,X7) ),
inference(resolution,[],[f9,f3]) ).
fof(f9,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ sum(X5,X7,X8)
| ~ sum(X4,X5,X6)
| ~ sum(X4,X8,X9)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f711,plain,
! [X0] : sum(multiply(X0,additive_identity),additive_identity,additive_identity),
inference(resolution,[],[f693,f3]) ).
fof(f693,plain,
! [X10,X11,X9] :
( ~ sum(X9,X10,X10)
| sum(multiply(X11,X9),additive_identity,additive_identity) ),
inference(resolution,[],[f161,f138]) ).
fof(f138,plain,
! [X4,X5] :
( ~ sum(X4,X5,X5)
| sum(X4,additive_identity,additive_identity) ),
inference(resolution,[],[f60,f7]) ).
fof(f7,axiom,
! [X4] : sum(X4,additive_inverse(X4),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f60,plain,
! [X14,X15,X12,X13] :
( ~ sum(X14,additive_inverse(X15),X13)
| ~ sum(X12,X14,X15)
| sum(X12,X13,additive_identity) ),
inference(resolution,[],[f8,f7]) ).
fof(f8,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ sum(X6,X7,X9)
| sum(X4,X8,X9)
| ~ sum(X4,X5,X6)
| ~ sum(X5,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X1),multiply(X0,X2),multiply(X0,X3))
| ~ sum(X1,X2,X3) ),
inference(resolution,[],[f70,f4]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X4,X2)
| sum(multiply(X0,X1),X2,multiply(X0,X3))
| ~ sum(X1,X4,X3) ),
inference(resolution,[],[f32,f4]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X5,X0)
| sum(X0,X1,multiply(X2,X3))
| ~ product(X2,X4,X1)
| ~ sum(X5,X4,X3) ),
inference(resolution,[],[f13,f4]) ).
fof(f13,axiom,
! [X10,X11,X7,X4,X5,X12,X13] :
( ~ product(X4,X12,X13)
| sum(X10,X11,X13)
| ~ product(X4,X7,X11)
| ~ product(X4,X5,X10)
| ~ sum(X5,X7,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f732,plain,
! [X14,X12,X13] :
( ~ sum(additive_identity,X14,X13)
| sum(multiply(X12,additive_identity),X13,X14) ),
inference(resolution,[],[f711,f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X3,additive_identity)
| sum(X0,X1,X2)
| ~ sum(X3,X2,X1) ),
inference(resolution,[],[f8,f2]) ).
fof(f49865,plain,
spl0_269,
inference(avatar_split_clause,[],[f49815,f49862]) ).
fof(f49862,plain,
( spl0_269
<=> sum(additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity))))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f49815,plain,
sum(additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity))))),additive_identity,additive_identity),
inference(resolution,[],[f905,f31252]) ).
fof(f31252,plain,
! [X264] : sum(X264,add(additive_identity,additive_inverse(additive_inverse(additive_identity))),X264),
inference(resolution,[],[f2853,f6766]) ).
fof(f6766,plain,
! [X8,X9] :
( ~ sum(additive_identity,additive_identity,X8)
| sum(X9,X8,X9) ),
inference(resolution,[],[f318,f244]) ).
fof(f244,plain,
! [X2] : sum(X2,additive_identity,additive_inverse(additive_inverse(X2))),
inference(resolution,[],[f92,f7]) ).
fof(f92,plain,
! [X3,X4,X5] :
( ~ sum(additive_inverse(X3),X5,X4)
| sum(X3,X4,X5) ),
inference(resolution,[],[f57,f7]) ).
fof(f318,plain,
! [X21,X19,X22,X20] :
( ~ sum(X19,X22,additive_inverse(additive_inverse(X21)))
| ~ sum(X22,additive_identity,X20)
| sum(X19,X20,X21) ),
inference(resolution,[],[f232,f8]) ).
fof(f232,plain,
! [X6] : sum(additive_inverse(additive_inverse(X6)),additive_identity,X6),
inference(resolution,[],[f91,f6]) ).
fof(f6,axiom,
! [X4] : sum(additive_inverse(X4),X4,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ sum(X0,X2,X1)
| sum(additive_inverse(X0),X1,X2) ),
inference(resolution,[],[f57,f6]) ).
fof(f2853,plain,
! [X24,X25] : sum(X24,X25,add(X24,additive_inverse(additive_inverse(X25)))),
inference(resolution,[],[f312,f5]) ).
fof(f5,axiom,
! [X4,X5] : sum(X4,X5,add(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f312,plain,
! [X10,X8,X9] :
( ~ sum(X8,additive_inverse(additive_inverse(X9)),X10)
| sum(X8,X9,X10) ),
inference(resolution,[],[f232,f58]) ).
fof(f58,plain,
! [X6,X7,X4,X5] :
( ~ sum(X7,additive_identity,X5)
| sum(X4,X5,X6)
| ~ sum(X4,X7,X6) ),
inference(resolution,[],[f8,f3]) ).
fof(f905,plain,
! [X2,X3] :
( ~ sum(X2,X3,additive_inverse(additive_inverse(X3)))
| sum(X2,additive_identity,additive_identity) ),
inference(resolution,[],[f353,f60]) ).
fof(f353,plain,
! [X27] : sum(X27,additive_inverse(additive_inverse(additive_inverse(X27))),additive_identity),
inference(resolution,[],[f244,f92]) ).
fof(f47907,plain,
spl0_268,
inference(avatar_split_clause,[],[f47857,f47904]) ).
fof(f47904,plain,
( spl0_268
<=> sum(add(additive_identity,additive_identity),additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f47857,plain,
sum(add(additive_identity,additive_identity),additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f435,f5975]) ).
fof(f5975,plain,
! [X26] : sum(X26,additive_inverse(X26),add(additive_identity,additive_identity)),
inference(resolution,[],[f456,f10]) ).
fof(f10,axiom,
! [X7,X4,X5] :
( ~ sum(X4,X5,X7)
| sum(X5,X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f456,plain,
! [X3] : sum(additive_inverse(X3),X3,add(additive_identity,additive_identity)),
inference(resolution,[],[f141,f29]) ).
fof(f29,plain,
! [X4,X5] : sum(X4,X5,add(X5,X4)),
inference(resolution,[],[f10,f5]) ).
fof(f141,plain,
! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X1)
| sum(additive_inverse(X0),X0,X1) ),
inference(resolution,[],[f65,f2]) ).
fof(f65,plain,
! [X10,X11,X8,X9] :
( ~ sum(X8,additive_inverse(X9),X10)
| sum(X10,X9,X11)
| ~ sum(X8,additive_identity,X11) ),
inference(resolution,[],[f9,f6]) ).
fof(f435,plain,
! [X2,X3] :
( ~ sum(additive_inverse(additive_inverse(additive_identity)),X2,X3)
| sum(X3,additive_identity,X2) ),
inference(resolution,[],[f255,f64]) ).
fof(f255,plain,
! [X1] : sum(additive_inverse(additive_inverse(additive_identity)),X1,X1),
inference(resolution,[],[f226,f91]) ).
fof(f226,plain,
! [X0] : sum(additive_inverse(additive_identity),X0,X0),
inference(resolution,[],[f91,f2]) ).
fof(f47902,plain,
( spl0_267
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f47792,f3185,f47899]) ).
fof(f47899,plain,
( spl0_267
<=> sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f3185,plain,
( spl0_31
<=> sum(additive_identity,additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f47792,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_31 ),
inference(resolution,[],[f435,f34288]) ).
fof(f34288,plain,
( ! [X0] : sum(X0,add(additive_inverse(additive_identity),additive_inverse(additive_identity)),X0)
| ~ spl0_31 ),
inference(resolution,[],[f3187,f6766]) ).
fof(f3187,plain,
( sum(additive_identity,additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f3185]) ).
fof(f47897,plain,
spl0_266,
inference(avatar_split_clause,[],[f47891,f47894]) ).
fof(f47894,plain,
( spl0_266
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f47891,plain,
sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity,additive_inverse(additive_identity)),
inference(resolution,[],[f435,f2832]) ).
fof(f2832,plain,
! [X38] : sum(X38,additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_inverse(X38))))),
inference(resolution,[],[f311,f468]) ).
fof(f468,plain,
! [X9] : sum(X9,additive_inverse(additive_identity),additive_inverse(additive_inverse(X9))),
inference(resolution,[],[f147,f232]) ).
fof(f147,plain,
! [X2,X3,X4] :
( ~ sum(X4,X3,X2)
| sum(X2,additive_inverse(X3),X4) ),
inference(resolution,[],[f66,f3]) ).
fof(f66,plain,
! [X14,X15,X12,X13] :
( ~ sum(X12,additive_identity,X15)
| sum(X14,additive_inverse(X13),X15)
| ~ sum(X12,X13,X14) ),
inference(resolution,[],[f9,f7]) ).
fof(f311,plain,
! [X6,X7,X5] :
( ~ sum(additive_inverse(additive_inverse(X5)),X6,X7)
| sum(X5,X6,X7) ),
inference(resolution,[],[f232,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X1,X2,X3) ),
inference(resolution,[],[f9,f2]) ).
fof(f47607,plain,
( spl0_265
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f47480,f238,f47604]) ).
fof(f47604,plain,
( spl0_265
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f238,plain,
( spl0_5
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f47480,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_inverse(additive_inverse(additive_identity)),additive_identity))
| ~ spl0_5 ),
inference(resolution,[],[f406,f30252]) ).
fof(f30252,plain,
! [X5] : sum(X5,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),X5),
inference(resolution,[],[f589,f6766]) ).
fof(f589,plain,
! [X2] : sum(additive_identity,X2,add(additive_inverse(additive_inverse(X2)),additive_identity)),
inference(resolution,[],[f142,f5]) ).
fof(f142,plain,
! [X2,X3] :
( ~ sum(additive_inverse(additive_inverse(X2)),additive_identity,X3)
| sum(additive_identity,X2,X3) ),
inference(resolution,[],[f65,f6]) ).
fof(f406,plain,
( ! [X2,X3] :
( ~ sum(additive_inverse(additive_identity),X3,X2)
| sum(additive_inverse(additive_identity),X2,X3) )
| ~ spl0_5 ),
inference(resolution,[],[f240,f57]) ).
fof(f240,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_identity)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f47602,plain,
( spl0_264
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f47477,f238,f47599]) ).
fof(f47599,plain,
( spl0_264
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f47477,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_5 ),
inference(resolution,[],[f406,f31252]) ).
fof(f46922,plain,
spl0_263,
inference(avatar_split_clause,[],[f46906,f46919]) ).
fof(f46919,plain,
( spl0_263
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f46906,plain,
sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))),additive_identity),
inference(resolution,[],[f35415,f269]) ).
fof(f269,plain,
! [X28,X27] :
( ~ sum(X27,additive_inverse(additive_identity),X28)
| sum(X27,additive_inverse(X28),additive_identity) ),
inference(resolution,[],[f226,f60]) ).
fof(f35415,plain,
! [X4] : sum(additive_identity,X4,additive_inverse(additive_inverse(add(X4,additive_identity)))),
inference(resolution,[],[f3966,f94]) ).
fof(f94,plain,
! [X8,X9] :
( ~ sum(additive_identity,X9,X8)
| sum(additive_identity,X8,X9) ),
inference(resolution,[],[f57,f3]) ).
fof(f3966,plain,
! [X24] : sum(additive_identity,additive_inverse(additive_inverse(add(X24,additive_identity))),X24),
inference(resolution,[],[f425,f147]) ).
fof(f425,plain,
! [X4] : sum(X4,additive_inverse(add(X4,additive_identity)),additive_identity),
inference(resolution,[],[f136,f5]) ).
fof(f136,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,additive_inverse(X1),additive_identity) ),
inference(resolution,[],[f60,f2]) ).
fof(f46808,plain,
spl0_262,
inference(avatar_split_clause,[],[f46702,f46805]) ).
fof(f46805,plain,
( spl0_262
<=> product(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f46702,plain,
product(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f35414,f963]) ).
fof(f963,plain,
! [X8,X9] :
( ~ sum(X8,X8,X9)
| product(X9,additive_inverse(additive_identity),multiply(X8,additive_inverse(additive_identity))) ),
inference(resolution,[],[f692,f226]) ).
fof(f692,plain,
! [X8,X6,X7,X5] :
( ~ sum(X5,X5,X6)
| ~ sum(X7,X7,X8)
| product(X8,X5,multiply(X7,X6)) ),
inference(resolution,[],[f161,f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(multiply(X0,X1),multiply(X2,X1),X3)
| ~ sum(X0,X2,X4)
| product(X4,X1,X3) ),
inference(resolution,[],[f54,f4]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| ~ sum(multiply(X3,X1),X5,X2)
| ~ sum(X3,X4,X0)
| product(X0,X1,X2) ),
inference(resolution,[],[f16,f4]) ).
fof(f16,axiom,
! [X10,X11,X7,X4,X5,X12,X13] :
( ~ product(X5,X4,X10)
| product(X12,X4,X13)
| ~ sum(X5,X7,X12)
| ~ product(X7,X4,X11)
| ~ sum(X10,X11,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f35414,plain,
! [X3] : sum(X3,additive_identity,additive_inverse(additive_inverse(add(X3,additive_identity)))),
inference(resolution,[],[f3966,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,additive_identity,X0) ),
inference(resolution,[],[f64,f2]) ).
fof(f46803,plain,
spl0_261,
inference(avatar_split_clause,[],[f46761,f46800]) ).
fof(f46800,plain,
( spl0_261
<=> sum(additive_identity,additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f46761,plain,
sum(additive_identity,additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))),
inference(resolution,[],[f35414,f114]) ).
fof(f114,plain,
! [X6,X5] :
( ~ sum(additive_inverse(additive_identity),X5,X6)
| sum(additive_identity,X5,X6) ),
inference(resolution,[],[f63,f6]) ).
fof(f46798,plain,
spl0_260,
inference(avatar_split_clause,[],[f46701,f46795]) ).
fof(f46795,plain,
( spl0_260
<=> product(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f46701,plain,
product(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f35414,f959]) ).
fof(f959,plain,
! [X0,X1] :
( ~ sum(X0,X0,X1)
| product(X1,additive_identity,multiply(X0,additive_identity)) ),
inference(resolution,[],[f692,f3]) ).
fof(f46793,plain,
spl0_259,
inference(avatar_split_clause,[],[f46760,f46790]) ).
fof(f46790,plain,
( spl0_259
<=> sum(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity))),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f46760,plain,
sum(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity))),additive_inverse(additive_identity),additive_identity),
inference(resolution,[],[f35414,f148]) ).
fof(f148,plain,
! [X6,X5] :
( ~ sum(additive_inverse(additive_identity),X6,X5)
| sum(X5,additive_inverse(X6),additive_identity) ),
inference(resolution,[],[f66,f6]) ).
fof(f46788,plain,
spl0_258,
inference(avatar_split_clause,[],[f46710,f46785]) ).
fof(f46785,plain,
( spl0_258
<=> product(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f46710,plain,
product(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f35414,f1057]) ).
fof(f1057,plain,
! [X46,X45] :
( ~ sum(X45,X45,X46)
| product(additive_identity,X46,multiply(additive_inverse(additive_inverse(additive_identity)),X45)) ),
inference(resolution,[],[f701,f244]) ).
fof(f701,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X0,X1)
| ~ sum(X3,X3,X2)
| product(X0,X2,multiply(X1,X3)) ),
inference(resolution,[],[f186,f71]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f86,f4]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X4,multiply(X1,X3),multiply(X2,X3)) ),
inference(resolution,[],[f51,f4]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X5,X0,X4)
| ~ product(X5,X1,X3)
| sum(X3,X2,multiply(X4,X1)) ),
inference(resolution,[],[f15,f4]) ).
fof(f15,axiom,
! [X10,X11,X7,X4,X5,X12,X13] :
( ~ product(X12,X4,X13)
| ~ product(X7,X4,X11)
| sum(X10,X11,X13)
| ~ product(X5,X4,X10)
| ~ sum(X5,X7,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f46783,plain,
( spl0_257
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f46709,f108,f46780]) ).
fof(f46780,plain,
( spl0_257
<=> product(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f108,plain,
( spl0_4
<=> sum(additive_identity,additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f46709,plain,
( product(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f35414,f1055]) ).
fof(f1055,plain,
( ! [X41,X42] :
( ~ sum(X41,X41,X42)
| product(additive_identity,X42,multiply(additive_inverse(additive_identity),X41)) )
| ~ spl0_4 ),
inference(resolution,[],[f701,f110]) ).
fof(f110,plain,
( sum(additive_identity,additive_identity,additive_inverse(additive_identity))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f46778,plain,
spl0_256,
inference(avatar_split_clause,[],[f46706,f46775]) ).
fof(f46775,plain,
( spl0_256
<=> product(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f46706,plain,
product(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f35414,f1044]) ).
fof(f1044,plain,
! [X6,X7] :
( ~ sum(X6,X6,X7)
| product(additive_identity,X7,multiply(additive_identity,X6)) ),
inference(resolution,[],[f701,f2]) ).
fof(f46773,plain,
( spl0_255
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f46705,f108,f46770]) ).
fof(f46770,plain,
( spl0_255
<=> product(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f46705,plain,
( product(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f35414,f972]) ).
fof(f972,plain,
( ! [X36,X37] :
( ~ sum(X36,X36,X37)
| product(X37,additive_identity,multiply(X36,additive_inverse(additive_identity))) )
| ~ spl0_4 ),
inference(resolution,[],[f692,f110]) ).
fof(f46546,plain,
( spl0_254
| ~ spl0_7
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f46536,f3185,f303,f46543]) ).
fof(f46543,plain,
( spl0_254
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),add(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f303,plain,
( spl0_7
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f46536,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),add(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_7
| ~ spl0_31 ),
inference(resolution,[],[f34288,f389]) ).
fof(f389,plain,
( ! [X2,X3] :
( ~ sum(additive_inverse(additive_inverse(additive_identity)),X3,X2)
| sum(additive_identity,X2,X3) )
| ~ spl0_7 ),
inference(resolution,[],[f305,f57]) ).
fof(f305,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_identity)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f46541,plain,
( spl0_253
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f46528,f3185,f46538]) ).
fof(f46538,plain,
( spl0_253
<=> equalish(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f46528,plain,
( equalish(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity))))
| ~ spl0_31 ),
inference(resolution,[],[f34288,f35]) ).
fof(f35,plain,
! [X4,X5] :
( ~ sum(additive_inverse(X5),X5,X4)
| equalish(additive_identity,X4) ),
inference(resolution,[],[f17,f6]) ).
fof(f17,axiom,
! [X8,X6,X4,X5] :
( ~ sum(X4,X5,X6)
| equalish(X6,X8)
| ~ sum(X4,X5,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f45473,plain,
spl0_252,
inference(avatar_split_clause,[],[f45424,f45470]) ).
fof(f45470,plain,
( spl0_252
<=> equalish(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f45424,plain,
equalish(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_inverse(additive_identity))),
inference(resolution,[],[f2862,f34]) ).
fof(f34,plain,
! [X2,X3] :
( ~ sum(X2,additive_identity,X3)
| equalish(X2,X3) ),
inference(resolution,[],[f17,f3]) ).
fof(f2862,plain,
! [X35] : sum(additive_inverse(additive_inverse(additive_inverse(X35))),X35,additive_inverse(additive_inverse(additive_identity))),
inference(resolution,[],[f312,f458]) ).
fof(f458,plain,
! [X5] : sum(additive_inverse(X5),X5,additive_inverse(additive_inverse(additive_identity))),
inference(resolution,[],[f141,f244]) ).
fof(f45277,plain,
( spl0_251
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f45272,f303,f45274]) ).
fof(f45274,plain,
( spl0_251
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f45272,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_inverse(additive_identity))
| ~ spl0_7 ),
inference(resolution,[],[f2832,f389]) ).
fof(f44978,plain,
spl0_250,
inference(avatar_split_clause,[],[f44957,f44975]) ).
fof(f44975,plain,
( spl0_250
<=> equalish(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f44957,plain,
equalish(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity),
inference(resolution,[],[f2504,f259]) ).
fof(f259,plain,
! [X12,X13] :
( ~ sum(additive_inverse(additive_identity),X12,X13)
| equalish(X12,X13) ),
inference(resolution,[],[f226,f17]) ).
fof(f2504,plain,
! [X10] : sum(X10,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(X10))))),additive_identity),
inference(resolution,[],[f341,f591]) ).
fof(f591,plain,
! [X4] : sum(additive_identity,X4,additive_inverse(additive_inverse(additive_inverse(additive_inverse(X4))))),
inference(resolution,[],[f142,f244]) ).
fof(f341,plain,
! [X11,X12] :
( ~ sum(additive_identity,additive_inverse(X11),X12)
| sum(X11,X12,additive_identity) ),
inference(resolution,[],[f244,f59]) ).
fof(f59,plain,
! [X10,X11,X8,X9] :
( ~ sum(X8,X10,additive_inverse(X11))
| sum(X8,X9,additive_identity)
| ~ sum(X10,X11,X9) ),
inference(resolution,[],[f8,f6]) ).
fof(f44973,plain,
( spl0_249
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f44963,f303,f44970]) ).
fof(f44970,plain,
( spl0_249
<=> sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f44963,plain,
( sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))))))
| ~ spl0_7 ),
inference(resolution,[],[f2504,f389]) ).
fof(f44968,plain,
spl0_248,
inference(avatar_split_clause,[],[f44959,f44965]) ).
fof(f44965,plain,
( spl0_248
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f44959,plain,
sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))))),additive_identity),
inference(resolution,[],[f2504,f148]) ).
fof(f44759,plain,
( spl0_247
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44644,f108,f44756]) ).
fof(f44756,plain,
( spl0_247
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f44644,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f2341,f1055]) ).
fof(f2341,plain,
( ! [X19] : sum(additive_inverse(additive_identity),X19,additive_inverse(additive_inverse(additive_inverse(additive_inverse(X19)))))
| ~ spl0_4 ),
inference(resolution,[],[f127,f591]) ).
fof(f127,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(additive_identity),X0,X1) )
| ~ spl0_4 ),
inference(resolution,[],[f110,f63]) ).
fof(f44754,plain,
( spl0_246
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44645,f108,f44751]) ).
fof(f44751,plain,
( spl0_246
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f44645,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f2341,f1057]) ).
fof(f44749,plain,
( spl0_245
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44641,f108,f44746]) ).
fof(f44746,plain,
( spl0_245
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f44641,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f2341,f1044]) ).
fof(f44744,plain,
( spl0_244
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44637,f108,f44741]) ).
fof(f44741,plain,
( spl0_244
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f44637,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f2341,f963]) ).
fof(f44739,plain,
( spl0_243
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44636,f108,f44736]) ).
fof(f44736,plain,
( spl0_243
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f44636,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f2341,f959]) ).
fof(f44734,plain,
( spl0_242
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44708,f108,f44731]) ).
fof(f44731,plain,
( spl0_242
<=> equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f44708,plain,
( equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))))
| ~ spl0_4 ),
inference(resolution,[],[f2341,f36]) ).
fof(f36,plain,
! [X6,X7] :
( ~ sum(X7,additive_inverse(X7),X6)
| equalish(additive_identity,X6) ),
inference(resolution,[],[f17,f7]) ).
fof(f44729,plain,
( spl0_241
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44640,f108,f44726]) ).
fof(f44726,plain,
( spl0_241
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f44640,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f2341,f972]) ).
fof(f44513,plain,
( spl0_240
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f44499,f2217,f44510]) ).
fof(f44510,plain,
( spl0_240
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2217,plain,
( spl0_27
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f44499,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_inverse(additive_identity)))
| ~ spl0_27 ),
inference(resolution,[],[f2219,f91]) ).
fof(f2219,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f2217]) ).
fof(f44476,plain,
( spl0_239
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f44463,f2212,f44473]) ).
fof(f44473,plain,
( spl0_239
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2212,plain,
( spl0_26
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f44463,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))
| ~ spl0_26 ),
inference(resolution,[],[f2214,f147]) ).
fof(f2214,plain,
( sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_inverse(additive_identity))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f44435,plain,
spl0_238,
inference(avatar_split_clause,[],[f44420,f44432]) ).
fof(f44432,plain,
( spl0_238
<=> sum(add(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity)),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f44420,plain,
sum(add(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity)),additive_identity,additive_identity),
inference(resolution,[],[f32170,f137]) ).
fof(f137,plain,
! [X2,X3] :
( ~ sum(X2,additive_inverse(additive_inverse(X3)),X3)
| sum(X2,additive_identity,additive_identity) ),
inference(resolution,[],[f60,f6]) ).
fof(f32170,plain,
! [X12] : sum(add(additive_inverse(X12),additive_inverse(additive_identity)),X12,additive_identity),
inference(resolution,[],[f620,f312]) ).
fof(f620,plain,
! [X2] : sum(add(X2,additive_inverse(additive_identity)),additive_inverse(X2),additive_identity),
inference(resolution,[],[f148,f29]) ).
fof(f44189,plain,
( spl0_237
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44132,f2120,f44186]) ).
fof(f44186,plain,
( spl0_237
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f2120,plain,
( spl0_24
<=> sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f44132,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_24 ),
inference(resolution,[],[f2122,f963]) ).
fof(f2122,plain,
( sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f44184,plain,
( spl0_236
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44140,f2120,f44181]) ).
fof(f44181,plain,
( spl0_236
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f44140,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity))
| ~ spl0_24 ),
inference(resolution,[],[f2122,f1057]) ).
fof(f44179,plain,
( spl0_235
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44136,f2120,f44176]) ).
fof(f44176,plain,
( spl0_235
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f44136,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_identity,additive_identity))
| ~ spl0_24 ),
inference(resolution,[],[f2122,f1044]) ).
fof(f44174,plain,
( spl0_234
| ~ spl0_4
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44139,f2120,f108,f44171]) ).
fof(f44171,plain,
( spl0_234
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f44139,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4
| ~ spl0_24 ),
inference(resolution,[],[f2122,f1055]) ).
fof(f44169,plain,
( spl0_233
| ~ spl0_4
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44135,f2120,f108,f44166]) ).
fof(f44166,plain,
( spl0_233
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f44135,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_24 ),
inference(resolution,[],[f2122,f972]) ).
fof(f44164,plain,
( spl0_232
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44131,f2120,f44161]) ).
fof(f44161,plain,
( spl0_232
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f44131,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,multiply(additive_identity,additive_identity))
| ~ spl0_24 ),
inference(resolution,[],[f2122,f959]) ).
fof(f44106,plain,
( spl0_231
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f44086,f3987,f44103]) ).
fof(f44103,plain,
( spl0_231
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(add(additive_identity,additive_identity))))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f3987,plain,
( spl0_55
<=> sum(additive_identity,additive_identity,additive_inverse(add(additive_identity,additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f44086,plain,
( sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(add(additive_identity,additive_identity))))),additive_identity,additive_identity)
| ~ spl0_55 ),
inference(resolution,[],[f7229,f137]) ).
fof(f7229,plain,
( ! [X2] : sum(additive_inverse(X2),X2,additive_inverse(add(additive_identity,additive_identity)))
| ~ spl0_55 ),
inference(resolution,[],[f3989,f141]) ).
fof(f3989,plain,
( sum(additive_identity,additive_identity,additive_inverse(add(additive_identity,additive_identity)))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f3987]) ).
fof(f44101,plain,
( spl0_230
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f44081,f3987,f44098]) ).
fof(f44098,plain,
( spl0_230
<=> equalish(additive_inverse(additive_inverse(additive_identity)),additive_inverse(add(additive_identity,additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f44081,plain,
( equalish(additive_inverse(additive_inverse(additive_identity)),additive_inverse(add(additive_identity,additive_identity)))
| ~ spl0_55 ),
inference(resolution,[],[f7229,f286]) ).
fof(f286,plain,
! [X16,X17] :
( ~ sum(X16,additive_inverse(additive_identity),X17)
| equalish(X16,X17) ),
inference(resolution,[],[f260,f17]) ).
fof(f260,plain,
! [X14] : sum(X14,additive_inverse(additive_identity),X14),
inference(resolution,[],[f226,f10]) ).
fof(f43842,plain,
spl0_229,
inference(avatar_split_clause,[],[f43822,f43839]) ).
fof(f43839,plain,
( spl0_229
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f43822,plain,
sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))))),additive_identity,additive_identity),
inference(resolution,[],[f2091,f137]) ).
fof(f2091,plain,
! [X4] : sum(additive_inverse(X4),X4,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),
inference(resolution,[],[f591,f141]) ).
fof(f43837,plain,
spl0_228,
inference(avatar_split_clause,[],[f43788,f43834]) ).
fof(f43834,plain,
( spl0_228
<=> equalish(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f43788,plain,
equalish(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),
inference(resolution,[],[f2091,f34]) ).
fof(f43289,plain,
( spl0_227
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f43244,f687,f43286]) ).
fof(f43286,plain,
( spl0_227
<=> equalish(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f687,plain,
( spl0_17
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f43244,plain,
( equalish(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity)
| ~ spl0_17 ),
inference(resolution,[],[f689,f34]) ).
fof(f689,plain,
( sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,additive_identity)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f43236,plain,
( spl0_226
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f43222,f6380,f43233]) ).
fof(f43233,plain,
( spl0_226
<=> sum(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f6380,plain,
( spl0_109
<=> sum(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f43222,plain,
( sum(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,additive_inverse(additive_identity))
| ~ spl0_109 ),
inference(resolution,[],[f6382,f91]) ).
fof(f6382,plain,
( sum(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_identity),additive_identity)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f6380]) ).
fof(f42879,plain,
( spl0_225
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42818,f6375,f42876]) ).
fof(f42876,plain,
( spl0_225
<=> product(additive_identity,add(additive_identity,additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f6375,plain,
( spl0_108
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f42818,plain,
( product(additive_identity,add(additive_identity,additive_identity),multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_108 ),
inference(resolution,[],[f6377,f1044]) ).
fof(f6377,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity))
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f6375]) ).
fof(f42874,plain,
( spl0_224
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42830,f6375,f42871]) ).
fof(f42871,plain,
( spl0_224
<=> sum(additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_identity),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f42830,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_identity),additive_inverse(additive_identity))
| ~ spl0_108 ),
inference(resolution,[],[f6377,f91]) ).
fof(f42869,plain,
( spl0_223
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42814,f6375,f42866]) ).
fof(f42866,plain,
( spl0_223
<=> product(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f42814,plain,
( product(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_108 ),
inference(resolution,[],[f6377,f963]) ).
fof(f42864,plain,
( spl0_222
| ~ spl0_4
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42817,f6375,f108,f42861]) ).
fof(f42861,plain,
( spl0_222
<=> product(add(additive_identity,additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f42817,plain,
( product(add(additive_identity,additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_108 ),
inference(resolution,[],[f6377,f972]) ).
fof(f42859,plain,
( spl0_221
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42813,f6375,f42856]) ).
fof(f42856,plain,
( spl0_221
<=> product(add(additive_identity,additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f42813,plain,
( product(add(additive_identity,additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_108 ),
inference(resolution,[],[f6377,f959]) ).
fof(f42854,plain,
( spl0_220
| ~ spl0_4
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42821,f6375,f108,f42851]) ).
fof(f42851,plain,
( spl0_220
<=> product(additive_identity,add(additive_identity,additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f42821,plain,
( product(additive_identity,add(additive_identity,additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_108 ),
inference(resolution,[],[f6377,f1055]) ).
fof(f42849,plain,
( spl0_219
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42822,f6375,f42846]) ).
fof(f42846,plain,
( spl0_219
<=> product(additive_identity,add(additive_identity,additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f42822,plain,
( product(additive_identity,add(additive_identity,additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)))
| ~ spl0_108 ),
inference(resolution,[],[f6377,f1057]) ).
fof(f42844,plain,
( spl0_218
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f42831,f6375,f42841]) ).
fof(f42841,plain,
( spl0_218
<=> sum(add(additive_identity,additive_identity),additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f42831,plain,
( sum(add(additive_identity,additive_identity),additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))
| ~ spl0_108 ),
inference(resolution,[],[f6377,f147]) ).
fof(f42239,plain,
spl0_217,
inference(avatar_split_clause,[],[f42149,f42236]) ).
fof(f42236,plain,
( spl0_217
<=> product(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f42149,plain,
product(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f5933,f1057]) ).
fof(f5933,plain,
! [X40] : sum(X40,additive_identity,additive_inverse(add(additive_identity,additive_inverse(X40)))),
inference(resolution,[],[f426,f92]) ).
fof(f426,plain,
! [X5] : sum(X5,additive_inverse(add(additive_identity,X5)),additive_identity),
inference(resolution,[],[f136,f29]) ).
fof(f42234,plain,
spl0_216,
inference(avatar_split_clause,[],[f42141,f42231]) ).
fof(f42231,plain,
( spl0_216
<=> product(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f42141,plain,
product(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f5933,f963]) ).
fof(f42229,plain,
( spl0_215
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f42144,f108,f42226]) ).
fof(f42226,plain,
( spl0_215
<=> product(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f42144,plain,
( product(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f5933,f972]) ).
fof(f42224,plain,
spl0_214,
inference(avatar_split_clause,[],[f42145,f42221]) ).
fof(f42221,plain,
( spl0_214
<=> product(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity))),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f42145,plain,
product(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity))),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f5933,f1044]) ).
fof(f42219,plain,
( spl0_213
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f42148,f108,f42216]) ).
fof(f42216,plain,
( spl0_213
<=> product(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f42148,plain,
( product(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f5933,f1055]) ).
fof(f42214,plain,
spl0_212,
inference(avatar_split_clause,[],[f42196,f42211]) ).
fof(f42211,plain,
( spl0_212
<=> sum(additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f42196,plain,
sum(additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity),additive_identity),
inference(resolution,[],[f5933,f148]) ).
fof(f42209,plain,
spl0_211,
inference(avatar_split_clause,[],[f42140,f42206]) ).
fof(f42206,plain,
( spl0_211
<=> product(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f42140,plain,
product(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f5933,f959]) ).
fof(f42055,plain,
spl0_210,
inference(avatar_split_clause,[],[f42016,f42052]) ).
fof(f42052,plain,
( spl0_210
<=> equalish(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f42016,plain,
equalish(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity))))),
inference(resolution,[],[f5924,f2914]) ).
fof(f2914,plain,
! [X7] :
( ~ sum(additive_identity,X7,additive_inverse(additive_identity))
| equalish(additive_identity,X7) ),
inference(resolution,[],[f321,f35]) ).
fof(f321,plain,
! [X26,X27] :
( sum(additive_inverse(additive_inverse(additive_identity)),X26,X27)
| ~ sum(additive_identity,X27,X26) ),
inference(resolution,[],[f232,f57]) ).
fof(f5924,plain,
! [X33] : sum(additive_identity,additive_inverse(additive_inverse(add(additive_identity,X33))),X33),
inference(resolution,[],[f426,f147]) ).
fof(f39983,plain,
spl0_209,
inference(avatar_split_clause,[],[f39959,f39980]) ).
fof(f39980,plain,
( spl0_209
<=> equalish(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f39959,plain,
equalish(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity))))),
inference(resolution,[],[f31252,f35]) ).
fof(f39978,plain,
spl0_208,
inference(avatar_split_clause,[],[f39961,f39975]) ).
fof(f39975,plain,
( spl0_208
<=> equalish(add(additive_identity,additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f39961,plain,
equalish(add(additive_identity,additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity)),
inference(resolution,[],[f31252,f259]) ).
fof(f39973,plain,
spl0_207,
inference(avatar_split_clause,[],[f39956,f39969]) ).
fof(f39969,plain,
( spl0_207
<=> sum(additive_inverse(additive_identity),additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f39956,plain,
sum(additive_inverse(additive_identity),additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),additive_identity),
inference(resolution,[],[f31252,f262]) ).
fof(f262,plain,
! [X18,X17] :
( ~ sum(additive_inverse(X18),X18,X17)
| sum(additive_inverse(additive_identity),X17,additive_identity) ),
inference(resolution,[],[f226,f59]) ).
fof(f39972,plain,
spl0_207,
inference(avatar_split_clause,[],[f39963,f39969]) ).
fof(f39963,plain,
sum(additive_inverse(additive_identity),additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),additive_identity),
inference(resolution,[],[f31252,f148]) ).
fof(f39197,plain,
spl0_206,
inference(avatar_split_clause,[],[f39182,f39194]) ).
fof(f39194,plain,
( spl0_206
<=> sum(add(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f39182,plain,
sum(add(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_identity),
inference(resolution,[],[f30497,f137]) ).
fof(f30497,plain,
! [X12] : sum(add(additive_inverse(additive_identity),additive_inverse(X12)),X12,additive_identity),
inference(resolution,[],[f619,f312]) ).
fof(f619,plain,
! [X1] : sum(add(additive_inverse(additive_identity),X1),additive_inverse(X1),additive_identity),
inference(resolution,[],[f148,f5]) ).
fof(f39046,plain,
spl0_205,
inference(avatar_split_clause,[],[f39035,f39043]) ).
fof(f39043,plain,
( spl0_205
<=> equalish(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f39035,plain,
equalish(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_inverse(additive_identity)),
inference(resolution,[],[f30252,f259]) ).
fof(f35949,plain,
( spl0_204
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f35936,f4008,f35946]) ).
fof(f35946,plain,
( spl0_204
<=> sum(additive_identity,additive_inverse(additive_identity),additive_inverse(additive_inverse(add(additive_identity,additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f4008,plain,
( spl0_59
<=> sum(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f35936,plain,
( sum(additive_identity,additive_inverse(additive_identity),additive_inverse(additive_inverse(add(additive_identity,additive_identity))))
| ~ spl0_59 ),
inference(resolution,[],[f4010,f147]) ).
fof(f4010,plain,
( sum(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,additive_identity)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f4008]) ).
fof(f35826,plain,
( spl0_203
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f35808,f4003,f35823]) ).
fof(f35823,plain,
( spl0_203
<=> sum(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f4003,plain,
( spl0_58
<=> sum(additive_inverse(additive_identity),additive_inverse(add(additive_identity,additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f35808,plain,
( sum(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_inverse(additive_identity))
| ~ spl0_58 ),
inference(resolution,[],[f4005,f147]) ).
fof(f4005,plain,
( sum(additive_inverse(additive_identity),additive_inverse(add(additive_identity,additive_identity)),additive_identity)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f4003]) ).
fof(f35821,plain,
( spl0_202
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f35807,f4003,f35818]) ).
fof(f35818,plain,
( spl0_202
<=> sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_inverse(add(additive_identity,additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f35807,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_inverse(add(additive_identity,additive_identity)))
| ~ spl0_58 ),
inference(resolution,[],[f4005,f91]) ).
fof(f35792,plain,
spl0_201,
inference(avatar_split_clause,[],[f35698,f35789]) ).
fof(f35789,plain,
( spl0_201
<=> product(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f35698,plain,
product(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f3975,f1057]) ).
fof(f3975,plain,
! [X31] : sum(X31,additive_identity,additive_inverse(add(additive_inverse(X31),additive_identity))),
inference(resolution,[],[f425,f92]) ).
fof(f35787,plain,
spl0_200,
inference(avatar_split_clause,[],[f35689,f35784]) ).
fof(f35784,plain,
( spl0_200
<=> product(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f35689,plain,
product(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f3975,f959]) ).
fof(f35782,plain,
spl0_199,
inference(avatar_split_clause,[],[f35736,f35779]) ).
fof(f35779,plain,
( spl0_199
<=> sum(additive_inverse(additive_identity),additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f35736,plain,
sum(additive_inverse(additive_identity),additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity)),additive_identity),
inference(resolution,[],[f3975,f262]) ).
fof(f35777,plain,
spl0_198,
inference(avatar_split_clause,[],[f35690,f35774]) ).
fof(f35774,plain,
( spl0_198
<=> product(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f35690,plain,
product(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f3975,f963]) ).
fof(f35772,plain,
spl0_197,
inference(avatar_split_clause,[],[f35694,f35769]) ).
fof(f35769,plain,
( spl0_197
<=> product(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity)),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f35694,plain,
product(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity)),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f3975,f1044]) ).
fof(f35767,plain,
( spl0_196
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f35693,f108,f35764]) ).
fof(f35764,plain,
( spl0_196
<=> product(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f35693,plain,
( product(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f3975,f972]) ).
fof(f35762,plain,
spl0_195,
inference(avatar_split_clause,[],[f35744,f35759]) ).
fof(f35759,plain,
( spl0_195
<=> sum(additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity)),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f35744,plain,
sum(additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity)),additive_inverse(additive_identity),additive_identity),
inference(resolution,[],[f3975,f148]) ).
fof(f35757,plain,
( spl0_194
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f35697,f108,f35754]) ).
fof(f35754,plain,
( spl0_194
<=> product(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity)),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f35697,plain,
( product(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity)),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f3975,f1055]) ).
fof(f35456,plain,
spl0_193,
inference(avatar_split_clause,[],[f35417,f35453]) ).
fof(f35453,plain,
( spl0_193
<=> equalish(additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f35417,plain,
equalish(additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))),
inference(resolution,[],[f3966,f2914]) ).
fof(f34512,plain,
( spl0_192
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f34507,f303,f34509]) ).
fof(f34509,plain,
( spl0_192
<=> sum(additive_identity,additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f34507,plain,
( sum(additive_identity,additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity)))))
| ~ spl0_7 ),
inference(resolution,[],[f3250,f389]) ).
fof(f3250,plain,
! [X6] : sum(X6,add(additive_inverse(additive_identity),additive_inverse(X6)),additive_identity),
inference(resolution,[],[f300,f341]) ).
fof(f300,plain,
! [X1] : sum(additive_identity,X1,add(additive_inverse(additive_identity),X1)),
inference(resolution,[],[f114,f5]) ).
fof(f34366,plain,
( spl0_191
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f34319,f3185,f34363]) ).
fof(f34363,plain,
( spl0_191
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f34319,plain,
( product(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity))
| ~ spl0_31 ),
inference(resolution,[],[f3187,f1057]) ).
fof(f34361,plain,
( spl0_190
| ~ spl0_4
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f34314,f3185,f108,f34358]) ).
fof(f34358,plain,
( spl0_190
<=> product(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f34314,plain,
( product(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_31 ),
inference(resolution,[],[f3187,f972]) ).
fof(f34356,plain,
( spl0_189
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f34311,f3185,f34353]) ).
fof(f34353,plain,
( spl0_189
<=> product(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f34311,plain,
( product(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_31 ),
inference(resolution,[],[f3187,f963]) ).
fof(f34351,plain,
( spl0_188
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f34310,f3185,f34348]) ).
fof(f34348,plain,
( spl0_188
<=> product(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f34310,plain,
( product(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_identity))
| ~ spl0_31 ),
inference(resolution,[],[f3187,f959]) ).
fof(f34346,plain,
( spl0_187
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f34315,f3185,f34343]) ).
fof(f34343,plain,
( spl0_187
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f34315,plain,
( product(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_identity,additive_identity))
| ~ spl0_31 ),
inference(resolution,[],[f3187,f1044]) ).
fof(f34341,plain,
( spl0_186
| ~ spl0_4
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f34318,f3185,f108,f34338]) ).
fof(f34338,plain,
( spl0_186
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f34318,plain,
( product(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4
| ~ spl0_31 ),
inference(resolution,[],[f3187,f1055]) ).
fof(f34189,plain,
spl0_185,
inference(avatar_split_clause,[],[f34171,f34186]) ).
fof(f34186,plain,
( spl0_185
<=> equalish(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f34171,plain,
equalish(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity),
inference(resolution,[],[f3171,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f17,f2]) ).
fof(f3171,plain,
! [X38] : sum(X38,add(additive_inverse(X38),additive_inverse(additive_identity)),additive_identity),
inference(resolution,[],[f250,f92]) ).
fof(f250,plain,
! [X0] : sum(X0,additive_identity,add(X0,additive_inverse(additive_identity))),
inference(resolution,[],[f98,f5]) ).
fof(f98,plain,
! [X6,X5] :
( ~ sum(X5,additive_inverse(additive_identity),X6)
| sum(X5,additive_identity,X6) ),
inference(resolution,[],[f58,f6]) ).
fof(f34184,plain,
( spl0_184
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f34179,f303,f34181]) ).
fof(f34181,plain,
( spl0_184
<=> sum(additive_identity,additive_identity,add(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f34179,plain,
( sum(additive_identity,additive_identity,add(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity)))
| ~ spl0_7 ),
inference(resolution,[],[f3171,f389]) ).
fof(f33941,plain,
spl0_183,
inference(avatar_split_clause,[],[f33925,f33938]) ).
fof(f33938,plain,
( spl0_183
<=> sum(additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f33925,plain,
sum(additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity))),additive_identity,additive_identity),
inference(resolution,[],[f3133,f98]) ).
fof(f3133,plain,
! [X37] : sum(additive_inverse(add(additive_inverse(additive_identity),X37)),X37,additive_identity),
inference(resolution,[],[f245,f124]) ).
fof(f124,plain,
! [X2,X3] :
( ~ sum(additive_identity,X2,X3)
| sum(additive_inverse(X2),X3,additive_identity) ),
inference(resolution,[],[f59,f3]) ).
fof(f245,plain,
! [X3,X4] : sum(X3,add(additive_inverse(X3),X4),X4),
inference(resolution,[],[f92,f5]) ).
fof(f33732,plain,
spl0_182,
inference(avatar_split_clause,[],[f33719,f33729]) ).
fof(f33729,plain,
( spl0_182
<=> equalish(additive_identity,additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f33719,plain,
equalish(additive_identity,additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity))),
inference(resolution,[],[f3127,f2914]) ).
fof(f3127,plain,
! [X21,X20] : sum(X20,additive_inverse(add(additive_inverse(X21),X20)),X21),
inference(resolution,[],[f245,f147]) ).
fof(f32531,plain,
( spl0_181
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f32521,f303,f32528]) ).
fof(f32528,plain,
( spl0_181
<=> sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f32521,plain,
( sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity)))))
| ~ spl0_7 ),
inference(resolution,[],[f2754,f389]) ).
fof(f2754,plain,
! [X15] : sum(X15,additive_inverse(add(additive_inverse(additive_identity),X15)),additive_identity),
inference(resolution,[],[f269,f29]) ).
fof(f32526,plain,
spl0_180,
inference(avatar_split_clause,[],[f32510,f32523]) ).
fof(f32523,plain,
( spl0_180
<=> sum(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f32510,plain,
sum(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity))),additive_identity,additive_identity),
inference(resolution,[],[f2754,f124]) ).
fof(f32481,plain,
spl0_179,
inference(avatar_split_clause,[],[f32456,f32478]) ).
fof(f32478,plain,
( spl0_179
<=> equalish(additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f32456,plain,
equalish(additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f2655,f286]) ).
fof(f2655,plain,
! [X8] : sum(additive_inverse(X8),X8,add(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f268,f29]) ).
fof(f268,plain,
! [X26,X25] :
( ~ sum(additive_inverse(additive_identity),additive_identity,X26)
| sum(additive_inverse(X25),X25,X26) ),
inference(resolution,[],[f226,f65]) ).
fof(f32476,plain,
spl0_178,
inference(avatar_split_clause,[],[f32461,f32473]) ).
fof(f32473,plain,
( spl0_178
<=> sum(additive_inverse(additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity))))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f32461,plain,
sum(additive_inverse(additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity))))),additive_identity,additive_identity),
inference(resolution,[],[f2655,f137]) ).
fof(f31368,plain,
( spl0_177
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f31255,f108,f31365]) ).
fof(f31365,plain,
( spl0_177
<=> sum(add(additive_identity,additive_inverse(additive_inverse(additive_identity))),additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f31255,plain,
( sum(add(additive_identity,additive_inverse(additive_inverse(additive_identity))),additive_identity,additive_inverse(additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f2853,f131]) ).
fof(f131,plain,
( ! [X5] :
( ~ sum(additive_identity,additive_identity,X5)
| sum(X5,additive_identity,additive_inverse(additive_identity)) )
| ~ spl0_4 ),
inference(resolution,[],[f110,f64]) ).
fof(f31363,plain,
( spl0_176
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f31261,f303,f31360]) ).
fof(f31360,plain,
( spl0_176
<=> sum(add(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f31261,plain,
( sum(add(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,additive_identity)
| ~ spl0_7 ),
inference(resolution,[],[f2853,f391]) ).
fof(f391,plain,
( ! [X4] :
( ~ sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),X4)
| sum(X4,additive_identity,additive_identity) )
| ~ spl0_7 ),
inference(resolution,[],[f305,f64]) ).
fof(f31080,plain,
( spl0_175
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f30978,f303,f31077]) ).
fof(f31077,plain,
( spl0_175
<=> sum(add(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f30978,plain,
( sum(add(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity))),additive_identity,additive_identity)
| ~ spl0_7 ),
inference(resolution,[],[f2824,f391]) ).
fof(f2824,plain,
! [X28,X29] : sum(X28,X29,add(additive_inverse(additive_inverse(X28)),X29)),
inference(resolution,[],[f311,f5]) ).
fof(f30886,plain,
spl0_174,
inference(avatar_split_clause,[],[f30850,f30883]) ).
fof(f30883,plain,
( spl0_174
<=> sum(additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity)))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f30850,plain,
sum(additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity)))),additive_identity,additive_identity),
inference(resolution,[],[f2753,f124]) ).
fof(f2753,plain,
! [X14] : sum(X14,additive_inverse(add(X14,additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f269,f5]) ).
fof(f30881,plain,
( spl0_173
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f30861,f303,f30878]) ).
fof(f30878,plain,
( spl0_173
<=> sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f30861,plain,
( sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))))
| ~ spl0_7 ),
inference(resolution,[],[f2753,f389]) ).
fof(f30876,plain,
spl0_172,
inference(avatar_split_clause,[],[f30855,f30873]) ).
fof(f30873,plain,
( spl0_172
<=> equalish(additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f30855,plain,
equalish(additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f2753,f259]) ).
fof(f30871,plain,
spl0_171,
inference(avatar_split_clause,[],[f30856,f30868]) ).
fof(f30868,plain,
( spl0_171
<=> sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f30856,plain,
sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity)))),
inference(resolution,[],[f2753,f256]) ).
fof(f256,plain,
! [X2,X3] :
( ~ sum(additive_inverse(additive_identity),X2,X3)
| sum(X3,additive_identity,X2) ),
inference(resolution,[],[f226,f64]) ).
fof(f30866,plain,
spl0_170,
inference(avatar_split_clause,[],[f30857,f30863]) ).
fof(f30863,plain,
( spl0_170
<=> sum(additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity)))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f30857,plain,
sum(additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity)))),additive_identity),
inference(resolution,[],[f2753,f148]) ).
fof(f30821,plain,
spl0_169,
inference(avatar_split_clause,[],[f30801,f30818]) ).
fof(f30818,plain,
( spl0_169
<=> sum(additive_inverse(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f30801,plain,
sum(additive_inverse(additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity)))),additive_identity,additive_identity),
inference(resolution,[],[f2654,f137]) ).
fof(f2654,plain,
! [X7] : sum(additive_inverse(X7),X7,add(additive_inverse(additive_identity),additive_identity)),
inference(resolution,[],[f268,f5]) ).
fof(f30816,plain,
spl0_168,
inference(avatar_split_clause,[],[f30796,f30813]) ).
fof(f30813,plain,
( spl0_168
<=> equalish(additive_inverse(additive_inverse(additive_identity)),add(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f30796,plain,
equalish(additive_inverse(additive_inverse(additive_identity)),add(additive_inverse(additive_identity),additive_identity)),
inference(resolution,[],[f2654,f286]) ).
fof(f30384,plain,
spl0_167,
inference(avatar_split_clause,[],[f30269,f30381]) ).
fof(f30381,plain,
( spl0_167
<=> product(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f30269,plain,
product(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f589,f1044]) ).
fof(f30379,plain,
spl0_161,
inference(avatar_split_clause,[],[f30324,f30350]) ).
fof(f30350,plain,
( spl0_161
<=> equalish(additive_identity,add(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f30324,plain,
equalish(additive_identity,add(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity)),
inference(resolution,[],[f589,f286]) ).
fof(f30378,plain,
spl0_166,
inference(avatar_split_clause,[],[f30265,f30375]) ).
fof(f30375,plain,
( spl0_166
<=> product(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f30265,plain,
product(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f589,f963]) ).
fof(f30373,plain,
spl0_165,
inference(avatar_split_clause,[],[f30273,f30370]) ).
fof(f30370,plain,
( spl0_165
<=> product(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f30273,plain,
product(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f589,f1057]) ).
fof(f30368,plain,
spl0_164,
inference(avatar_split_clause,[],[f30264,f30365]) ).
fof(f30365,plain,
( spl0_164
<=> product(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f30264,plain,
product(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f589,f959]) ).
fof(f30363,plain,
( spl0_163
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f30261,f303,f30360]) ).
fof(f30360,plain,
( spl0_163
<=> sum(add(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f30261,plain,
( sum(add(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity),additive_identity,additive_identity)
| ~ spl0_7 ),
inference(resolution,[],[f589,f391]) ).
fof(f30358,plain,
( spl0_162
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30272,f108,f30355]) ).
fof(f30355,plain,
( spl0_162
<=> product(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f30272,plain,
( product(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f589,f1055]) ).
fof(f30353,plain,
spl0_161,
inference(avatar_split_clause,[],[f30323,f30350]) ).
fof(f30323,plain,
equalish(additive_identity,add(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity)),
inference(resolution,[],[f589,f36]) ).
fof(f30348,plain,
( spl0_160
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30268,f108,f30345]) ).
fof(f30345,plain,
( spl0_160
<=> product(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f30268,plain,
( product(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f589,f972]) ).
fof(f30343,plain,
( spl0_159
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30255,f108,f30340]) ).
fof(f30340,plain,
( spl0_159
<=> sum(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f30255,plain,
( sum(add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_identity,additive_inverse(additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f589,f131]) ).
fof(f29462,plain,
spl0_158,
inference(avatar_split_clause,[],[f29382,f29459]) ).
fof(f29459,plain,
( spl0_158
<=> equalish(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f29382,plain,
equalish(additive_inverse(add(additive_identity,additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f259,f426]) ).
fof(f29457,plain,
spl0_157,
inference(avatar_split_clause,[],[f29358,f29454]) ).
fof(f29454,plain,
( spl0_157
<=> equalish(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f29358,plain,
equalish(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_identity)),
inference(resolution,[],[f259,f6090]) ).
fof(f6090,plain,
! [X42] : sum(X42,additive_inverse(add(additive_identity,additive_identity)),X42),
inference(resolution,[],[f5956,f147]) ).
fof(f5956,plain,
! [X2] : sum(X2,add(additive_identity,additive_identity),X2),
inference(resolution,[],[f456,f92]) ).
fof(f29452,plain,
spl0_156,
inference(avatar_split_clause,[],[f29381,f29449]) ).
fof(f29449,plain,
( spl0_156
<=> equalish(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f29381,plain,
equalish(additive_inverse(add(additive_inverse(additive_identity),additive_identity)),additive_identity),
inference(resolution,[],[f259,f425]) ).
fof(f29447,plain,
spl0_155,
inference(avatar_split_clause,[],[f29402,f29444]) ).
fof(f29444,plain,
( spl0_155
<=> equalish(additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f29402,plain,
equalish(additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_identity)),
inference(resolution,[],[f259,f5975]) ).
fof(f29442,plain,
spl0_154,
inference(avatar_split_clause,[],[f29361,f29437]) ).
fof(f29437,plain,
( spl0_154
<=> equalish(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f29361,plain,
equalish(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity)),
inference(resolution,[],[f259,f1918]) ).
fof(f1918,plain,
! [X24] : sum(X24,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),X24),
inference(resolution,[],[f646,f147]) ).
fof(f646,plain,
! [X18] : sum(X18,additive_inverse(additive_inverse(additive_inverse(additive_identity))),X18),
inference(resolution,[],[f439,f147]) ).
fof(f439,plain,
! [X14] : sum(X14,additive_inverse(additive_inverse(additive_identity)),X14),
inference(resolution,[],[f255,f10]) ).
fof(f29441,plain,
spl0_153,
inference(avatar_split_clause,[],[f29425,f29432]) ).
fof(f29432,plain,
( spl0_153
<=> equalish(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f29425,plain,
equalish(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f259,f1345]) ).
fof(f1345,plain,
! [X21] : sum(X21,additive_inverse(X21),additive_inverse(additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f434,f147]) ).
fof(f434,plain,
! [X1] : sum(additive_inverse(additive_inverse(additive_inverse(additive_identity))),X1,X1),
inference(resolution,[],[f255,f91]) ).
fof(f29440,plain,
spl0_154,
inference(avatar_split_clause,[],[f29423,f29437]) ).
fof(f29423,plain,
equalish(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity)),
inference(resolution,[],[f259,f1181]) ).
fof(f1181,plain,
! [X32] : sum(X32,additive_inverse(additive_inverse(additive_inverse(X32))),additive_inverse(additive_identity)),
inference(resolution,[],[f468,f92]) ).
fof(f29435,plain,
spl0_153,
inference(avatar_split_clause,[],[f29428,f29432]) ).
fof(f29428,plain,
equalish(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f259,f1218]) ).
fof(f1218,plain,
! [X22] : sum(X22,additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(X22))),
inference(resolution,[],[f476,f147]) ).
fof(f476,plain,
! [X16] : sum(additive_inverse(additive_inverse(X16)),additive_inverse(additive_identity),X16),
inference(resolution,[],[f147,f244]) ).
fof(f14051,plain,
( spl0_152
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13987,f1310,f14048]) ).
fof(f14048,plain,
( spl0_152
<=> product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1310,plain,
( spl0_23
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f13987,plain,
( product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_23 ),
inference(resolution,[],[f1312,f959]) ).
fof(f1312,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f14046,plain,
( spl0_151
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13992,f1310,f14043]) ).
fof(f14043,plain,
( spl0_151
<=> product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f13992,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_23 ),
inference(resolution,[],[f1312,f1044]) ).
fof(f14041,plain,
( spl0_148
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f14006,f1310,f14027]) ).
fof(f14027,plain,
( spl0_148
<=> sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f14006,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))
| ~ spl0_23 ),
inference(resolution,[],[f1312,f91]) ).
fof(f14040,plain,
( spl0_150
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13988,f1310,f14037]) ).
fof(f14037,plain,
( spl0_150
<=> product(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f13988,plain,
( product(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_23 ),
inference(resolution,[],[f1312,f963]) ).
fof(f14035,plain,
( spl0_149
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13991,f1310,f108,f14032]) ).
fof(f14032,plain,
( spl0_149
<=> product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f13991,plain,
( product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_23 ),
inference(resolution,[],[f1312,f972]) ).
fof(f14030,plain,
( spl0_148
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f14007,f1310,f14027]) ).
fof(f14007,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))
| ~ spl0_23 ),
inference(resolution,[],[f1312,f147]) ).
fof(f14025,plain,
( spl0_147
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13995,f1310,f108,f14022]) ).
fof(f14022,plain,
( spl0_147
<=> product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f13995,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_23 ),
inference(resolution,[],[f1312,f1055]) ).
fof(f14020,plain,
( spl0_146
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13996,f1310,f14017]) ).
fof(f14017,plain,
( spl0_146
<=> product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f13996,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)))
| ~ spl0_23 ),
inference(resolution,[],[f1312,f1057]) ).
fof(f13193,plain,
( spl0_145
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f13183,f303,f13190]) ).
fof(f13190,plain,
( spl0_145
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f13183,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),add(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_7 ),
inference(resolution,[],[f12369,f389]) ).
fof(f12369,plain,
! [X17] : sum(X17,add(additive_identity,additive_inverse(additive_identity)),X17),
inference(resolution,[],[f6766,f301]) ).
fof(f301,plain,
! [X2] : sum(additive_identity,X2,add(X2,additive_inverse(additive_identity))),
inference(resolution,[],[f114,f29]) ).
fof(f13188,plain,
spl0_144,
inference(avatar_split_clause,[],[f13176,f13185]) ).
fof(f13185,plain,
( spl0_144
<=> equalish(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f13176,plain,
equalish(additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_identity)))),
inference(resolution,[],[f12369,f35]) ).
fof(f11110,plain,
spl0_143,
inference(avatar_split_clause,[],[f11035,f11107]) ).
fof(f11107,plain,
( spl0_143
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f11035,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f1218,f1057]) ).
fof(f11105,plain,
( spl0_142
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f11032,f108,f11102]) ).
fof(f11102,plain,
( spl0_142
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f11032,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f1218,f972]) ).
fof(f11100,plain,
( spl0_141
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f11034,f108,f11097]) ).
fof(f11097,plain,
( spl0_141
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f11034,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_4 ),
inference(resolution,[],[f1218,f1055]) ).
fof(f11095,plain,
spl0_140,
inference(avatar_split_clause,[],[f11086,f11092]) ).
fof(f11092,plain,
( spl0_140
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f11086,plain,
sum(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f1218,f148]) ).
fof(f10665,plain,
( spl0_139
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f10637,f1037,f10662]) ).
fof(f10662,plain,
( spl0_139
<=> product(additive_identity,additive_identity,multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1037,plain,
( spl0_20
<=> sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f10637,plain,
( product(additive_identity,additive_identity,multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_20 ),
inference(resolution,[],[f1039,f1057]) ).
fof(f1039,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_identity)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f10660,plain,
( spl0_138
| ~ spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f10636,f1037,f108,f10657]) ).
fof(f10657,plain,
( spl0_138
<=> product(additive_identity,additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f10636,plain,
( product(additive_identity,additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_4
| ~ spl0_20 ),
inference(resolution,[],[f1039,f1055]) ).
fof(f10618,plain,
( spl0_137
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f10611,f361,f10615]) ).
fof(f10615,plain,
( spl0_137
<=> sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f361,plain,
( spl0_9
<=> sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f10611,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_9 ),
inference(resolution,[],[f975,f98]) ).
fof(f975,plain,
( ! [X0] : sum(additive_inverse(X0),X0,additive_inverse(additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_9 ),
inference(resolution,[],[f363,f141]) ).
fof(f363,plain,
( sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f10443,plain,
spl0_136,
inference(avatar_split_clause,[],[f10418,f10440]) ).
fof(f10440,plain,
( spl0_136
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f10418,plain,
sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity),
inference(resolution,[],[f918,f262]) ).
fof(f918,plain,
! [X22] : sum(X22,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(X22))))),
inference(resolution,[],[f353,f92]) ).
fof(f10438,plain,
spl0_135,
inference(avatar_split_clause,[],[f10425,f10435]) ).
fof(f10435,plain,
( spl0_135
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f10425,plain,
sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_inverse(additive_identity),additive_identity),
inference(resolution,[],[f918,f148]) ).
fof(f8935,plain,
spl0_134,
inference(avatar_split_clause,[],[f8928,f8932]) ).
fof(f8932,plain,
( spl0_134
<=> sum(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f8928,plain,
sum(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_identity),
inference(resolution,[],[f6192,f269]) ).
fof(f6192,plain,
! [X41] : sum(additive_inverse(add(additive_identity,additive_identity)),X41,X41),
inference(resolution,[],[f6086,f91]) ).
fof(f6086,plain,
! [X36] : sum(add(additive_identity,additive_identity),X36,X36),
inference(resolution,[],[f5956,f10]) ).
fof(f8614,plain,
spl0_132,
inference(avatar_split_clause,[],[f8588,f8605]) ).
fof(f8605,plain,
( spl0_132
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f8588,plain,
sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity),
inference(resolution,[],[f6090,f262]) ).
fof(f8613,plain,
spl0_133,
inference(avatar_split_clause,[],[f8591,f8610]) ).
fof(f8610,plain,
( spl0_133
<=> equalish(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f8591,plain,
equalish(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_identity)))),
inference(resolution,[],[f6090,f35]) ).
fof(f8608,plain,
spl0_132,
inference(avatar_split_clause,[],[f8594,f8605]) ).
fof(f8594,plain,
sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity),
inference(resolution,[],[f6090,f148]) ).
fof(f8603,plain,
( spl0_131
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f8598,f303,f8600]) ).
fof(f8600,plain,
( spl0_131
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_inverse(add(additive_identity,additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f8598,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_inverse(add(additive_identity,additive_identity)))
| ~ spl0_7 ),
inference(resolution,[],[f6090,f389]) ).
fof(f8429,plain,
( spl0_130
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f8424,f303,f8426]) ).
fof(f8426,plain,
( spl0_130
<=> sum(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f8424,plain,
( sum(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity),additive_inverse(additive_identity))
| ~ spl0_7 ),
inference(resolution,[],[f465,f389]) ).
fof(f465,plain,
! [X6] : sum(X6,additive_inverse(additive_identity),add(X6,additive_identity)),
inference(resolution,[],[f147,f171]) ).
fof(f171,plain,
! [X14] : sum(add(X14,additive_identity),additive_identity,X14),
inference(resolution,[],[f106,f10]) ).
fof(f106,plain,
! [X2] : sum(additive_identity,add(X2,additive_identity),X2),
inference(resolution,[],[f94,f29]) ).
fof(f7978,plain,
( spl0_129
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f7968,f303,f7975]) ).
fof(f7975,plain,
( spl0_129
<=> sum(additive_identity,add(additive_identity,additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f7968,plain,
( sum(additive_identity,add(additive_identity,additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_7 ),
inference(resolution,[],[f5975,f389]) ).
fof(f7973,plain,
spl0_128,
inference(avatar_split_clause,[],[f7964,f7970]) ).
fof(f7970,plain,
( spl0_128
<=> sum(add(additive_identity,additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f7964,plain,
sum(add(additive_identity,additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f5975,f148]) ).
fof(f7807,plain,
( spl0_127
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f7802,f303,f7804]) ).
fof(f7804,plain,
( spl0_127
<=> sum(additive_identity,add(additive_identity,additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f7802,plain,
( sum(additive_identity,add(additive_identity,additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity))
| ~ spl0_7 ),
inference(resolution,[],[f464,f389]) ).
fof(f464,plain,
! [X5] : sum(X5,additive_inverse(additive_identity),add(additive_identity,X5)),
inference(resolution,[],[f147,f158]) ).
fof(f158,plain,
! [X14] : sum(add(additive_identity,X14),additive_identity,X14),
inference(resolution,[],[f105,f10]) ).
fof(f105,plain,
! [X1] : sum(additive_identity,add(additive_identity,X1),X1),
inference(resolution,[],[f94,f5]) ).
fof(f7488,plain,
spl0_126,
inference(avatar_split_clause,[],[f7482,f7485]) ).
fof(f7485,plain,
( spl0_126
<=> sum(additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f7482,plain,
sum(additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_identity),
inference(resolution,[],[f230,f137]) ).
fof(f230,plain,
! [X4] : sum(additive_inverse(add(additive_identity,X4)),X4,additive_identity),
inference(resolution,[],[f91,f158]) ).
fof(f7434,plain,
( spl0_125
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7359,f108,f7431]) ).
fof(f7431,plain,
( spl0_125
<=> product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f7359,plain,
( product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f228,f972]) ).
fof(f228,plain,
! [X2] : sum(additive_inverse(additive_identity),X2,add(X2,additive_identity)),
inference(resolution,[],[f91,f106]) ).
fof(f7429,plain,
spl0_124,
inference(avatar_split_clause,[],[f7357,f7426]) ).
fof(f7426,plain,
( spl0_124
<=> product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f7357,plain,
product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)),
inference(resolution,[],[f228,f959]) ).
fof(f7424,plain,
spl0_123,
inference(avatar_split_clause,[],[f7360,f7421]) ).
fof(f7421,plain,
( spl0_123
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f7360,plain,
product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f228,f1044]) ).
fof(f7419,plain,
spl0_122,
inference(avatar_split_clause,[],[f7362,f7416]) ).
fof(f7416,plain,
( spl0_122
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f7362,plain,
product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))),
inference(resolution,[],[f228,f1057]) ).
fof(f7414,plain,
spl0_121,
inference(avatar_split_clause,[],[f7358,f7411]) ).
fof(f7411,plain,
( spl0_121
<=> product(add(additive_inverse(additive_identity),additive_identity),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f7358,plain,
product(add(additive_inverse(additive_identity),additive_identity),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))),
inference(resolution,[],[f228,f963]) ).
fof(f7409,plain,
( spl0_120
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7361,f108,f7406]) ).
fof(f7406,plain,
( spl0_120
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f7361,plain,
( product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f228,f1055]) ).
fof(f7404,plain,
spl0_119,
inference(avatar_split_clause,[],[f7394,f7401]) ).
fof(f7401,plain,
( spl0_119
<=> equalish(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f7394,plain,
equalish(additive_identity,add(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f228,f36]) ).
fof(f7292,plain,
( spl0_118
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f7251,f3987,f7289]) ).
fof(f7289,plain,
( spl0_118
<=> product(additive_identity,additive_inverse(add(additive_identity,additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f7251,plain,
( product(additive_identity,additive_inverse(add(additive_identity,additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity))
| ~ spl0_55 ),
inference(resolution,[],[f3989,f1057]) ).
fof(f7287,plain,
( spl0_117
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f7246,f3987,f7284]) ).
fof(f7284,plain,
( spl0_117
<=> product(additive_inverse(add(additive_identity,additive_identity)),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f7246,plain,
( product(additive_inverse(add(additive_identity,additive_identity)),additive_identity,multiply(additive_identity,additive_identity))
| ~ spl0_55 ),
inference(resolution,[],[f3989,f959]) ).
fof(f7282,plain,
( spl0_116
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f7249,f3987,f7279]) ).
fof(f7279,plain,
( spl0_116
<=> product(additive_identity,additive_inverse(add(additive_identity,additive_identity)),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f7249,plain,
( product(additive_identity,additive_inverse(add(additive_identity,additive_identity)),multiply(additive_identity,additive_identity))
| ~ spl0_55 ),
inference(resolution,[],[f3989,f1044]) ).
fof(f7277,plain,
( spl0_115
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f7247,f3987,f7274]) ).
fof(f7274,plain,
( spl0_115
<=> product(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f7247,plain,
( product(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_55 ),
inference(resolution,[],[f3989,f963]) ).
fof(f7272,plain,
( spl0_114
| ~ spl0_4
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f7248,f3987,f108,f7269]) ).
fof(f7269,plain,
( spl0_114
<=> product(additive_inverse(add(additive_identity,additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f7248,plain,
( product(additive_inverse(add(additive_identity,additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_55 ),
inference(resolution,[],[f3989,f972]) ).
fof(f7267,plain,
( spl0_113
| ~ spl0_4
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f7250,f3987,f108,f7264]) ).
fof(f7264,plain,
( spl0_113
<=> product(additive_identity,additive_inverse(add(additive_identity,additive_identity)),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f7250,plain,
( product(additive_identity,additive_inverse(add(additive_identity,additive_identity)),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4
| ~ spl0_55 ),
inference(resolution,[],[f3989,f1055]) ).
fof(f6715,plain,
spl0_112,
inference(avatar_split_clause,[],[f6654,f6709]) ).
fof(f6709,plain,
( spl0_112
<=> ! [X60,X59] : sum(multiply(X59,additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X60))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f6654,plain,
! [X12,X13] : sum(multiply(X12,additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X13))),additive_identity,additive_identity),
inference(resolution,[],[f1228,f439]) ).
fof(f1228,plain,
! [X18,X19,X17,X20] :
( ~ sum(X17,X18,X18)
| sum(multiply(X19,additive_inverse(multiply(X17,X20))),additive_identity,additive_identity) ),
inference(resolution,[],[f709,f693]) ).
fof(f709,plain,
! [X40,X41,X42,X43] :
( sum(additive_inverse(multiply(X40,X43)),multiply(X42,X43),multiply(X41,X43))
| ~ sum(X40,X41,X42) ),
inference(resolution,[],[f186,f91]) ).
fof(f6714,plain,
spl0_112,
inference(avatar_split_clause,[],[f6668,f6709]) ).
fof(f6668,plain,
! [X44,X43] : sum(multiply(X43,additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X44))),additive_identity,additive_identity),
inference(resolution,[],[f1228,f232]) ).
fof(f6713,plain,
spl0_112,
inference(avatar_split_clause,[],[f6706,f6709]) ).
fof(f6706,plain,
! [X171,X172] : sum(multiply(X171,additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X172))),additive_identity,additive_identity),
inference(resolution,[],[f1228,f282]) ).
fof(f282,plain,
! [X5] : sum(additive_inverse(X5),X5,additive_inverse(additive_identity)),
inference(resolution,[],[f260,f91]) ).
fof(f6712,plain,
spl0_112,
inference(avatar_split_clause,[],[f6666,f6709]) ).
fof(f6666,plain,
! [X40,X39] : sum(multiply(X39,additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X40))),additive_identity,additive_identity),
inference(resolution,[],[f1228,f255]) ).
fof(f6711,plain,
( spl0_111
| spl0_112 ),
inference(avatar_split_clause,[],[f6674,f6709,f6611]) ).
fof(f6611,plain,
( spl0_111
<=> ! [X59] : ~ sum(additive_identity,X59,X59) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f6674,plain,
! [X59,X60,X61] :
( sum(multiply(X59,additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X60))),additive_identity,additive_identity)
| ~ sum(additive_identity,X61,X61) ),
inference(resolution,[],[f1228,f321]) ).
fof(f6617,plain,
spl0_110,
inference(avatar_split_clause,[],[f6567,f6608]) ).
fof(f6608,plain,
( spl0_110
<=> ! [X57,X58] : sum(multiply(additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X57)),X58),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f6567,plain,
! [X41,X42] : sum(multiply(additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X41)),X42),additive_identity,additive_identity),
inference(resolution,[],[f1227,f232]) ).
fof(f1227,plain,
! [X16,X14,X15,X13] :
( ~ sum(X13,X14,X14)
| sum(multiply(additive_inverse(multiply(X13,X15)),X16),additive_identity,additive_identity) ),
inference(resolution,[],[f709,f703]) ).
fof(f703,plain,
! [X10,X11,X9] :
( ~ sum(X9,X10,X10)
| sum(multiply(X9,X11),additive_identity,additive_identity) ),
inference(resolution,[],[f186,f138]) ).
fof(f6616,plain,
spl0_110,
inference(avatar_split_clause,[],[f6554,f6608]) ).
fof(f6554,plain,
! [X12,X13] : sum(multiply(additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X12)),X13),additive_identity,additive_identity),
inference(resolution,[],[f1227,f439]) ).
fof(f6615,plain,
spl0_110,
inference(avatar_split_clause,[],[f6565,f6608]) ).
fof(f6565,plain,
! [X38,X37] : sum(multiply(additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X37)),X38),additive_identity,additive_identity),
inference(resolution,[],[f1227,f255]) ).
fof(f6614,plain,
spl0_110,
inference(avatar_split_clause,[],[f6605,f6608]) ).
fof(f6605,plain,
! [X170,X169] : sum(multiply(additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X169)),X170),additive_identity,additive_identity),
inference(resolution,[],[f1227,f282]) ).
fof(f6613,plain,
( spl0_110
| spl0_111 ),
inference(avatar_split_clause,[],[f6573,f6611,f6608]) ).
fof(f6573,plain,
! [X58,X59,X57] :
( ~ sum(additive_identity,X59,X59)
| sum(multiply(additive_inverse(multiply(additive_inverse(additive_inverse(additive_identity)),X57)),X58),additive_identity,additive_identity) ),
inference(resolution,[],[f1227,f321]) ).
fof(f6383,plain,
( spl0_109
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f6365,f2452,f6380]) ).
fof(f2452,plain,
( spl0_28
<=> sum(add(additive_identity,additive_identity),additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f6365,plain,
( sum(additive_inverse(add(additive_identity,additive_identity)),additive_inverse(additive_identity),additive_identity)
| ~ spl0_28 ),
inference(resolution,[],[f2454,f91]) ).
fof(f2454,plain,
( sum(add(additive_identity,additive_identity),additive_identity,additive_inverse(additive_identity))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f2452]) ).
fof(f6378,plain,
( spl0_108
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f6366,f2452,f6375]) ).
fof(f6366,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity))
| ~ spl0_28 ),
inference(resolution,[],[f2454,f147]) ).
fof(f6373,plain,
( spl0_107
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f6352,f2452,f6370]) ).
fof(f6370,plain,
( spl0_107
<=> equalish(add(additive_identity,additive_identity),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f6352,plain,
( equalish(add(additive_identity,additive_identity),additive_inverse(additive_identity))
| ~ spl0_28 ),
inference(resolution,[],[f2454,f34]) ).
fof(f6117,plain,
spl0_106,
inference(avatar_split_clause,[],[f6105,f6114]) ).
fof(f6114,plain,
( spl0_106
<=> equalish(additive_identity,additive_inverse(add(additive_identity,additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f6105,plain,
equalish(additive_identity,additive_inverse(add(additive_identity,additive_identity))),
inference(resolution,[],[f5956,f35]) ).
fof(f6012,plain,
spl0_105,
inference(avatar_split_clause,[],[f5997,f6009]) ).
fof(f6009,plain,
( spl0_105
<=> sum(additive_inverse(additive_inverse(additive_inverse(add(additive_identity,additive_identity)))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f5997,plain,
sum(additive_inverse(additive_inverse(additive_inverse(add(additive_identity,additive_identity)))),additive_identity,additive_identity),
inference(resolution,[],[f456,f137]) ).
fof(f6007,plain,
( spl0_104
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f5963,f303,f6004]) ).
fof(f6004,plain,
( spl0_104
<=> sum(additive_identity,add(additive_identity,additive_identity),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f5963,plain,
( sum(additive_identity,add(additive_identity,additive_identity),additive_inverse(additive_identity))
| ~ spl0_7 ),
inference(resolution,[],[f456,f389]) ).
fof(f6002,plain,
spl0_103,
inference(avatar_split_clause,[],[f5995,f5999]) ).
fof(f5999,plain,
( spl0_103
<=> sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(add(additive_identity,additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f5995,plain,
sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(add(additive_identity,additive_identity)),additive_identity),
inference(resolution,[],[f456,f269]) ).
fof(f5949,plain,
spl0_102,
inference(avatar_split_clause,[],[f5935,f5946]) ).
fof(f5946,plain,
( spl0_102
<=> sum(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity)))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f5935,plain,
sum(additive_identity,additive_inverse(additive_inverse(add(additive_identity,additive_inverse(additive_identity)))),additive_identity),
inference(resolution,[],[f426,f148]) ).
fof(f5944,plain,
( spl0_101
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f5939,f303,f5941]) ).
fof(f5941,plain,
( spl0_101
<=> sum(additive_identity,additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f5939,plain,
( sum(additive_identity,additive_identity,additive_inverse(add(additive_identity,additive_inverse(additive_inverse(additive_identity)))))
| ~ spl0_7 ),
inference(resolution,[],[f426,f389]) ).
fof(f5684,plain,
spl0_100,
inference(avatar_split_clause,[],[f5622,f5680]) ).
fof(f5680,plain,
( spl0_100
<=> product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f5622,plain,
product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f1057,f301]) ).
fof(f5683,plain,
spl0_100,
inference(avatar_split_clause,[],[f5619,f5680]) ).
fof(f5619,plain,
product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f1057,f250]) ).
fof(f5678,plain,
( spl0_99
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f5628,f361,f5675]) ).
fof(f5675,plain,
( spl0_99
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f5628,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity))
| ~ spl0_9 ),
inference(resolution,[],[f1057,f363]) ).
fof(f5673,plain,
spl0_98,
inference(avatar_split_clause,[],[f5620,f5669]) ).
fof(f5669,plain,
( spl0_98
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f5620,plain,
product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f1057,f251]) ).
fof(f251,plain,
! [X1] : sum(X1,additive_identity,add(additive_inverse(additive_identity),X1)),
inference(resolution,[],[f98,f29]) ).
fof(f5672,plain,
spl0_98,
inference(avatar_split_clause,[],[f5621,f5669]) ).
fof(f5621,plain,
product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f1057,f300]) ).
fof(f5667,plain,
spl0_95,
inference(avatar_split_clause,[],[f5631,f5652]) ).
fof(f5652,plain,
( spl0_95
<=> product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f5631,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f1057,f244]) ).
fof(f5666,plain,
( spl0_97
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f5607,f238,f5663]) ).
fof(f5663,plain,
( spl0_97
<=> product(additive_identity,additive_identity,multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f5607,plain,
( product(additive_identity,additive_identity,multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)))
| ~ spl0_5 ),
inference(resolution,[],[f1057,f240]) ).
fof(f5661,plain,
spl0_92,
inference(avatar_split_clause,[],[f5626,f5637]) ).
fof(f5637,plain,
( spl0_92
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f5626,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))),
inference(resolution,[],[f1057,f509]) ).
fof(f509,plain,
! [X21] : sum(additive_inverse(additive_identity),X21,additive_inverse(additive_inverse(X21))),
inference(resolution,[],[f320,f91]) ).
fof(f320,plain,
! [X25] : sum(additive_identity,additive_inverse(additive_inverse(X25)),X25),
inference(resolution,[],[f232,f10]) ).
fof(f5660,plain,
spl0_96,
inference(avatar_split_clause,[],[f5625,f5657]) ).
fof(f5657,plain,
( spl0_96
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f5625,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f1057,f591]) ).
fof(f5655,plain,
spl0_95,
inference(avatar_split_clause,[],[f5624,f5652]) ).
fof(f5624,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)),
inference(resolution,[],[f1057,f347]) ).
fof(f347,plain,
! [X26] : sum(additive_identity,X26,additive_inverse(additive_inverse(X26))),
inference(resolution,[],[f244,f10]) ).
fof(f5650,plain,
( spl0_94
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5627,f108,f5647]) ).
fof(f5647,plain,
( spl0_94
<=> product(additive_identity,additive_inverse(additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f5627,plain,
( product(additive_identity,additive_inverse(additive_identity),multiply(additive_inverse(additive_inverse(additive_identity)),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1057,f110]) ).
fof(f5645,plain,
spl0_93,
inference(avatar_split_clause,[],[f5623,f5642]) ).
fof(f5642,plain,
( spl0_93
<=> product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f5623,plain,
product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))),
inference(resolution,[],[f1057,f227]) ).
fof(f227,plain,
! [X1] : sum(additive_inverse(additive_identity),X1,add(additive_identity,X1)),
inference(resolution,[],[f91,f105]) ).
fof(f5640,plain,
spl0_92,
inference(avatar_split_clause,[],[f5634,f5637]) ).
fof(f5634,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))),
inference(resolution,[],[f1057,f468]) ).
fof(f5380,plain,
spl0_91,
inference(avatar_split_clause,[],[f5333,f5377]) ).
fof(f5377,plain,
( spl0_91
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f5333,plain,
product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f963,f591]) ).
fof(f5375,plain,
spl0_90,
inference(avatar_split_clause,[],[f5330,f5372]) ).
fof(f5372,plain,
( spl0_90
<=> product(add(additive_inverse(additive_identity),additive_identity),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f5330,plain,
product(add(additive_inverse(additive_identity),additive_identity),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f963,f300]) ).
fof(f5370,plain,
spl0_89,
inference(avatar_split_clause,[],[f5339,f5366]) ).
fof(f5366,plain,
( spl0_89
<=> product(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f5339,plain,
product(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f963,f244]) ).
fof(f5369,plain,
spl0_89,
inference(avatar_split_clause,[],[f5332,f5366]) ).
fof(f5332,plain,
product(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f963,f347]) ).
fof(f5364,plain,
spl0_88,
inference(avatar_split_clause,[],[f5329,f5361]) ).
fof(f5361,plain,
( spl0_88
<=> product(add(additive_identity,additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f5329,plain,
product(add(additive_identity,additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f963,f250]) ).
fof(f5359,plain,
spl0_87,
inference(avatar_split_clause,[],[f5334,f5355]) ).
fof(f5355,plain,
( spl0_87
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f5334,plain,
product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))),
inference(resolution,[],[f963,f509]) ).
fof(f5358,plain,
spl0_87,
inference(avatar_split_clause,[],[f5342,f5355]) ).
fof(f5342,plain,
product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))),
inference(resolution,[],[f963,f468]) ).
fof(f5353,plain,
( spl0_86
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f5336,f361,f5350]) ).
fof(f5350,plain,
( spl0_86
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f5336,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_9 ),
inference(resolution,[],[f963,f363]) ).
fof(f5348,plain,
spl0_85,
inference(avatar_split_clause,[],[f5331,f5345]) ).
fof(f5345,plain,
( spl0_85
<=> product(add(additive_identity,additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f5331,plain,
product(add(additive_identity,additive_inverse(additive_identity)),additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))),
inference(resolution,[],[f963,f227]) ).
fof(f4661,plain,
( spl0_84
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4587,f108,f4658]) ).
fof(f4658,plain,
( spl0_84
<=> product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f4587,plain,
( product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f250]) ).
fof(f4656,plain,
( spl0_77
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4557,f108,f4619]) ).
fof(f4619,plain,
( spl0_77
<=> product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f4557,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f439]) ).
fof(f4655,plain,
( spl0_83
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4591,f108,f4652]) ).
fof(f4652,plain,
( spl0_83
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f4591,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f591]) ).
fof(f4650,plain,
( spl0_82
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4594,f361,f108,f4647]) ).
fof(f4647,plain,
( spl0_82
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f4594,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f1055,f363]) ).
fof(f4645,plain,
( spl0_78
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4566,f108,f4624]) ).
fof(f4624,plain,
( spl0_78
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f4566,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity)))))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f434]) ).
fof(f4644,plain,
( spl0_81
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4588,f108,f4641]) ).
fof(f4641,plain,
( spl0_81
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f4588,plain,
( product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f300]) ).
fof(f4639,plain,
( spl0_80
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4589,f108,f4636]) ).
fof(f4636,plain,
( spl0_80
<=> product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f4589,plain,
( product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f227]) ).
fof(f4634,plain,
( spl0_79
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4564,f108,f4630]) ).
fof(f4630,plain,
( spl0_79
<=> product(additive_identity,additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f4564,plain,
( product(additive_identity,additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f226]) ).
fof(f4633,plain,
( spl0_79
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4556,f108,f4630]) ).
fof(f4556,plain,
( product(additive_identity,additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f260]) ).
fof(f4628,plain,
( spl0_76
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4590,f108,f4614]) ).
fof(f4614,plain,
( spl0_76
<=> product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f4590,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f347]) ).
fof(f4627,plain,
( spl0_78
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4558,f108,f4624]) ).
fof(f4558,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity)))))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f646]) ).
fof(f4622,plain,
( spl0_77
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4565,f108,f4619]) ).
fof(f4565,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f255]) ).
fof(f4617,plain,
( spl0_76
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4597,f108,f4614]) ).
fof(f4597,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f244]) ).
fof(f4612,plain,
( spl0_75
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4592,f108,f4608]) ).
fof(f4608,plain,
( spl0_75
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f4592,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f509]) ).
fof(f4611,plain,
( spl0_75
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4600,f108,f4608]) ).
fof(f4600,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f468]) ).
fof(f4606,plain,
( spl0_74
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4593,f108,f4603]) ).
fof(f4603,plain,
( spl0_74
<=> product(additive_identity,additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f4593,plain,
( product(additive_identity,additive_inverse(additive_identity),multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1055,f110]) ).
fof(f4554,plain,
( spl0_73
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4496,f108,f4550]) ).
fof(f4550,plain,
( spl0_73
<=> product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f4496,plain,
( product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f347]) ).
fof(f4553,plain,
( spl0_73
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4503,f108,f4550]) ).
fof(f4503,plain,
( product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f244]) ).
fof(f4548,plain,
( spl0_72
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4497,f108,f4545]) ).
fof(f4545,plain,
( spl0_72
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f4497,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f591]) ).
fof(f4543,plain,
( spl0_71
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4499,f108,f4540]) ).
fof(f4540,plain,
( spl0_71
<=> product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f4499,plain,
( product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f110]) ).
fof(f4538,plain,
( spl0_68
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4506,f108,f4524]) ).
fof(f4524,plain,
( spl0_68
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f4506,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f468]) ).
fof(f4537,plain,
( spl0_70
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4481,f238,f108,f4534]) ).
fof(f4534,plain,
( spl0_70
<=> product(additive_identity,additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f4481,plain,
( product(additive_identity,additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f972,f240]) ).
fof(f4532,plain,
( spl0_69
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4494,f108,f4529]) ).
fof(f4529,plain,
( spl0_69
<=> product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f4494,plain,
( product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f300]) ).
fof(f4527,plain,
( spl0_68
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4498,f108,f4524]) ).
fof(f4498,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f509]) ).
fof(f4522,plain,
( spl0_67
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4500,f361,f108,f4519]) ).
fof(f4519,plain,
( spl0_67
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f4500,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f972,f363]) ).
fof(f4517,plain,
( spl0_66
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4495,f108,f4514]) ).
fof(f4514,plain,
( spl0_66
<=> product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f4495,plain,
( product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f227]) ).
fof(f4512,plain,
( spl0_65
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4493,f108,f4509]) ).
fof(f4509,plain,
( spl0_65
<=> product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f4493,plain,
( product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_4 ),
inference(resolution,[],[f972,f250]) ).
fof(f4300,plain,
spl0_64,
inference(avatar_split_clause,[],[f4278,f4297]) ).
fof(f4297,plain,
( spl0_64
<=> equalish(additive_identity,add(additive_identity,additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f4278,plain,
equalish(additive_identity,add(additive_identity,additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f227,f36]) ).
fof(f4295,plain,
spl0_63,
inference(avatar_split_clause,[],[f4251,f4292]) ).
fof(f4292,plain,
( spl0_63
<=> product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f4251,plain,
product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f227,f1044]) ).
fof(f4290,plain,
spl0_62,
inference(avatar_split_clause,[],[f4252,f4287]) ).
fof(f4287,plain,
( spl0_62
<=> product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f4252,plain,
product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)),
inference(resolution,[],[f227,f959]) ).
fof(f4285,plain,
spl0_61,
inference(avatar_split_clause,[],[f4269,f4282]) ).
fof(f4282,plain,
( spl0_61
<=> equalish(additive_inverse(additive_identity),add(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f4269,plain,
equalish(additive_inverse(additive_identity),add(additive_identity,additive_identity)),
inference(resolution,[],[f227,f34]) ).
fof(f4016,plain,
( spl0_60
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3980,f303,f4013]) ).
fof(f4013,plain,
( spl0_60
<=> sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f3980,plain,
( sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_inverse(additive_identity)),additive_identity)))
| ~ spl0_7 ),
inference(resolution,[],[f425,f389]) ).
fof(f4011,plain,
spl0_59,
inference(avatar_split_clause,[],[f3971,f4008]) ).
fof(f3971,plain,
sum(additive_inverse(additive_inverse(add(additive_identity,additive_identity))),additive_identity,additive_identity),
inference(resolution,[],[f425,f124]) ).
fof(f4006,plain,
( spl0_58
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3970,f108,f4003]) ).
fof(f3970,plain,
( sum(additive_inverse(additive_identity),additive_inverse(add(additive_identity,additive_identity)),additive_identity)
| ~ spl0_4 ),
inference(resolution,[],[f425,f127]) ).
fof(f4001,plain,
spl0_57,
inference(avatar_split_clause,[],[f3977,f3998]) ).
fof(f3998,plain,
( spl0_57
<=> sum(additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f3977,plain,
sum(additive_identity,additive_inverse(additive_inverse(add(additive_inverse(additive_identity),additive_identity))),additive_identity),
inference(resolution,[],[f425,f148]) ).
fof(f3996,plain,
spl0_55,
inference(avatar_split_clause,[],[f3973,f3987]) ).
fof(f3973,plain,
sum(additive_identity,additive_identity,additive_inverse(add(additive_identity,additive_identity))),
inference(resolution,[],[f425,f94]) ).
fof(f3995,plain,
spl0_56,
inference(avatar_split_clause,[],[f3974,f3992]) ).
fof(f3992,plain,
( spl0_56
<=> equalish(additive_inverse(add(additive_identity,additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f3974,plain,
equalish(additive_inverse(add(additive_identity,additive_identity)),additive_identity),
inference(resolution,[],[f425,f33]) ).
fof(f3990,plain,
spl0_55,
inference(avatar_split_clause,[],[f3972,f3987]) ).
fof(f3972,plain,
sum(additive_identity,additive_identity,additive_inverse(add(additive_identity,additive_identity))),
inference(resolution,[],[f425,f117]) ).
fof(f3985,plain,
spl0_54,
inference(avatar_split_clause,[],[f3976,f3982]) ).
fof(f3982,plain,
( spl0_54
<=> sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f3976,plain,
sum(additive_identity,additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_identity))),
inference(resolution,[],[f425,f256]) ).
fof(f3725,plain,
( spl0_53
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f3660,f238,f3722]) ).
fof(f3722,plain,
( spl0_53
<=> product(additive_identity,additive_identity,multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f3660,plain,
( product(additive_identity,additive_identity,multiply(additive_identity,additive_inverse(additive_identity)))
| ~ spl0_5 ),
inference(resolution,[],[f1044,f240]) ).
fof(f3720,plain,
( spl0_52
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3677,f361,f3717]) ).
fof(f3717,plain,
( spl0_52
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f3677,plain,
( product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_identity,additive_identity))
| ~ spl0_9 ),
inference(resolution,[],[f1044,f363]) ).
fof(f3715,plain,
spl0_51,
inference(avatar_split_clause,[],[f3683,f3711]) ).
fof(f3711,plain,
( spl0_51
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_identity,additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f3683,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f1044,f468]) ).
fof(f3714,plain,
spl0_51,
inference(avatar_split_clause,[],[f3675,f3711]) ).
fof(f3675,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity))),multiply(additive_identity,additive_inverse(additive_identity))),
inference(resolution,[],[f1044,f509]) ).
fof(f3709,plain,
spl0_50,
inference(avatar_split_clause,[],[f3673,f3705]) ).
fof(f3705,plain,
( spl0_50
<=> product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f3673,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f1044,f347]) ).
fof(f3708,plain,
spl0_50,
inference(avatar_split_clause,[],[f3680,f3705]) ).
fof(f3680,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_identity)),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f1044,f244]) ).
fof(f3703,plain,
spl0_49,
inference(avatar_split_clause,[],[f3672,f3700]) ).
fof(f3700,plain,
( spl0_49
<=> product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f3672,plain,
product(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f1044,f300]) ).
fof(f3698,plain,
( spl0_48
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3676,f108,f3695]) ).
fof(f3695,plain,
( spl0_48
<=> product(additive_identity,additive_inverse(additive_identity),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3676,plain,
( product(additive_identity,additive_inverse(additive_identity),multiply(additive_identity,additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f1044,f110]) ).
fof(f3693,plain,
spl0_47,
inference(avatar_split_clause,[],[f3671,f3690]) ).
fof(f3690,plain,
( spl0_47
<=> product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f3671,plain,
product(additive_identity,add(additive_identity,additive_inverse(additive_identity)),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f1044,f250]) ).
fof(f3688,plain,
spl0_46,
inference(avatar_split_clause,[],[f3674,f3685]) ).
fof(f3685,plain,
( spl0_46
<=> product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f3674,plain,
product(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),multiply(additive_identity,additive_identity)),
inference(resolution,[],[f1044,f591]) ).
fof(f3500,plain,
spl0_45,
inference(avatar_split_clause,[],[f3447,f3497]) ).
fof(f3497,plain,
( spl0_45
<=> product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f3447,plain,
product(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f959,f300]) ).
fof(f3495,plain,
spl0_44,
inference(avatar_split_clause,[],[f3446,f3492]) ).
fof(f3492,plain,
( spl0_44
<=> product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f3446,plain,
product(add(additive_identity,additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f959,f250]) ).
fof(f3490,plain,
spl0_43,
inference(avatar_split_clause,[],[f3449,f3487]) ).
fof(f3487,plain,
( spl0_43
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f3449,plain,
product(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f959,f591]) ).
fof(f3485,plain,
( spl0_42
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f3435,f238,f3482]) ).
fof(f3482,plain,
( spl0_42
<=> product(additive_identity,additive_identity,multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f3435,plain,
( product(additive_identity,additive_identity,multiply(additive_inverse(additive_identity),additive_identity))
| ~ spl0_5 ),
inference(resolution,[],[f959,f240]) ).
fof(f3480,plain,
spl0_40,
inference(avatar_split_clause,[],[f3448,f3471]) ).
fof(f3471,plain,
( spl0_40
<=> product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f3448,plain,
product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f959,f347]) ).
fof(f3479,plain,
( spl0_41
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3452,f361,f3476]) ).
fof(f3476,plain,
( spl0_41
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f3452,plain,
( product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_identity,additive_identity))
| ~ spl0_9 ),
inference(resolution,[],[f959,f363]) ).
fof(f3474,plain,
spl0_40,
inference(avatar_split_clause,[],[f3455,f3471]) ).
fof(f3455,plain,
product(additive_inverse(additive_inverse(additive_identity)),additive_identity,multiply(additive_identity,additive_identity)),
inference(resolution,[],[f959,f244]) ).
fof(f3469,plain,
spl0_39,
inference(avatar_split_clause,[],[f3458,f3465]) ).
fof(f3465,plain,
( spl0_39
<=> product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f3458,plain,
product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)),
inference(resolution,[],[f959,f468]) ).
fof(f3468,plain,
spl0_39,
inference(avatar_split_clause,[],[f3450,f3465]) ).
fof(f3450,plain,
product(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity,multiply(additive_inverse(additive_identity),additive_identity)),
inference(resolution,[],[f959,f509]) ).
fof(f3463,plain,
( spl0_38
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3451,f108,f3460]) ).
fof(f3460,plain,
( spl0_38
<=> product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f3451,plain,
( product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f959,f110]) ).
fof(f3342,plain,
( spl0_37
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3337,f303,f3339]) ).
fof(f3339,plain,
( spl0_37
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f3337,plain,
( sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity,additive_identity)
| ~ spl0_7 ),
inference(resolution,[],[f391,f591]) ).
fof(f3325,plain,
( spl0_36
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3319,f303,f3322]) ).
fof(f3322,plain,
( spl0_36
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f3319,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_inverse(additive_identity))
| ~ spl0_7 ),
inference(resolution,[],[f389,f468]) ).
fof(f3283,plain,
spl0_35,
inference(avatar_split_clause,[],[f3277,f3280]) ).
fof(f3280,plain,
( spl0_35
<=> sum(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f3277,plain,
sum(additive_identity,additive_inverse(add(additive_inverse(additive_identity),additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f300,f269]) ).
fof(f3204,plain,
spl0_34,
inference(avatar_split_clause,[],[f3170,f3201]) ).
fof(f3201,plain,
( spl0_34
<=> equalish(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f3170,plain,
equalish(additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity))),
inference(resolution,[],[f250,f35]) ).
fof(f3199,plain,
spl0_32,
inference(avatar_split_clause,[],[f3173,f3190]) ).
fof(f3190,plain,
( spl0_32
<=> sum(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f3173,plain,
sum(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity,additive_identity),
inference(resolution,[],[f250,f256]) ).
fof(f3198,plain,
spl0_33,
inference(avatar_split_clause,[],[f3174,f3195]) ).
fof(f3195,plain,
( spl0_33
<=> sum(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f3174,plain,
sum(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_inverse(additive_identity),additive_identity),
inference(resolution,[],[f250,f148]) ).
fof(f3193,plain,
spl0_32,
inference(avatar_split_clause,[],[f3169,f3190]) ).
fof(f3169,plain,
sum(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity,additive_identity),
inference(resolution,[],[f250,f119]) ).
fof(f119,plain,
! [X4,X5] :
( ~ sum(additive_inverse(X4),X4,X5)
| sum(X5,additive_identity,additive_identity) ),
inference(resolution,[],[f64,f6]) ).
fof(f3188,plain,
spl0_31,
inference(avatar_split_clause,[],[f3175,f3185]) ).
fof(f3175,plain,
sum(additive_identity,additive_identity,add(additive_inverse(additive_identity),additive_inverse(additive_identity))),
inference(resolution,[],[f250,f114]) ).
fof(f3183,plain,
spl0_30,
inference(avatar_split_clause,[],[f3167,f3180]) ).
fof(f3180,plain,
( spl0_30
<=> sum(additive_inverse(additive_identity),add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f3167,plain,
sum(additive_inverse(additive_identity),add(additive_inverse(additive_identity),additive_inverse(additive_identity)),additive_identity),
inference(resolution,[],[f250,f262]) ).
fof(f2768,plain,
spl0_29,
inference(avatar_split_clause,[],[f2760,f2765]) ).
fof(f2765,plain,
( spl0_29
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f2760,plain,
sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),additive_identity),
inference(resolution,[],[f269,f591]) ).
fof(f2456,plain,
( spl0_28
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f2443,f108,f2452]) ).
fof(f2443,plain,
( sum(add(additive_identity,additive_identity),additive_identity,additive_inverse(additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f131,f5]) ).
fof(f2455,plain,
( spl0_28
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f2444,f108,f2452]) ).
fof(f2444,plain,
( sum(add(additive_identity,additive_identity),additive_identity,additive_inverse(additive_identity))
| ~ spl0_4 ),
inference(resolution,[],[f131,f29]) ).
fof(f2220,plain,
( spl0_27
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2208,f625,f2217]) ).
fof(f625,plain,
( spl0_14
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f2208,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_inverse(additive_identity))))
| ~ spl0_14 ),
inference(resolution,[],[f627,f147]) ).
fof(f627,plain,
( sum(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),additive_identity)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f2215,plain,
( spl0_26
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2207,f625,f2212]) ).
fof(f2207,plain,
( sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_inverse(additive_identity))
| ~ spl0_14 ),
inference(resolution,[],[f627,f91]) ).
fof(f2128,plain,
spl0_25,
inference(avatar_split_clause,[],[f2117,f2125]) ).
fof(f2125,plain,
( spl0_25
<=> equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2117,plain,
equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),
inference(resolution,[],[f591,f36]) ).
fof(f2123,plain,
spl0_24,
inference(avatar_split_clause,[],[f2118,f2120]) ).
fof(f2118,plain,
sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))))),
inference(resolution,[],[f591,f98]) ).
fof(f1313,plain,
( spl0_23
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1301,f414,f1310]) ).
fof(f414,plain,
( spl0_11
<=> sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1301,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity)))
| ~ spl0_11 ),
inference(resolution,[],[f416,f147]) ).
fof(f416,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_inverse(additive_identity))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f1308,plain,
( spl0_22
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1293,f414,f1305]) ).
fof(f1305,plain,
( spl0_22
<=> equalish(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1293,plain,
( equalish(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))
| ~ spl0_11 ),
inference(resolution,[],[f416,f34]) ).
fof(f1188,plain,
spl0_21,
inference(avatar_split_clause,[],[f1180,f1185]) ).
fof(f1185,plain,
( spl0_21
<=> equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1180,plain,
equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),
inference(resolution,[],[f468,f35]) ).
fof(f1040,plain,
( spl0_20
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1028,f397,f1037]) ).
fof(f397,plain,
( spl0_10
<=> sum(additive_inverse(additive_identity),additive_identity,additive_inverse(additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1028,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)),additive_identity)
| ~ spl0_10 ),
inference(resolution,[],[f399,f91]) ).
fof(f399,plain,
( sum(additive_inverse(additive_identity),additive_identity,additive_inverse(additive_inverse(additive_identity)))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f1035,plain,
( spl0_19
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1021,f397,f1032]) ).
fof(f1032,plain,
( spl0_19
<=> equalish(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1021,plain,
( equalish(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_identity)))
| ~ spl0_10 ),
inference(resolution,[],[f399,f34]) ).
fof(f925,plain,
spl0_18,
inference(avatar_split_clause,[],[f919,f922]) ).
fof(f922,plain,
( spl0_18
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f919,plain,
sum(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity),
inference(resolution,[],[f353,f148]) ).
fof(f690,plain,
spl0_17,
inference(avatar_split_clause,[],[f680,f687]) ).
fof(f680,plain,
sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity))))),additive_identity,additive_identity),
inference(resolution,[],[f315,f137]) ).
fof(f315,plain,
! [X12] : sum(additive_inverse(additive_inverse(additive_inverse(X12))),X12,additive_identity),
inference(resolution,[],[f232,f91]) ).
fof(f685,plain,
spl0_16,
inference(avatar_split_clause,[],[f676,f682]) ).
fof(f682,plain,
( spl0_16
<=> equalish(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f676,plain,
equalish(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f315,f34]) ).
fof(f633,plain,
spl0_15,
inference(avatar_split_clause,[],[f623,f630]) ).
fof(f630,plain,
( spl0_15
<=> sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f623,plain,
sum(additive_inverse(additive_identity),additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_identity),
inference(resolution,[],[f148,f294]) ).
fof(f294,plain,
! [X23] : sum(X23,additive_inverse(X23),additive_inverse(additive_identity)),
inference(resolution,[],[f260,f92]) ).
fof(f628,plain,
spl0_14,
inference(avatar_split_clause,[],[f621,f625]) ).
fof(f621,plain,
sum(additive_inverse(additive_inverse(additive_inverse(additive_identity))),additive_inverse(additive_identity),additive_identity),
inference(resolution,[],[f148,f244]) ).
fof(f585,plain,
spl0_13,
inference(avatar_split_clause,[],[f580,f582]) ).
fof(f582,plain,
( spl0_13
<=> sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f580,plain,
sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(additive_identity)))),additive_identity,additive_identity),
inference(resolution,[],[f282,f137]) ).
fof(f481,plain,
( spl0_12
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f470,f238,f478]) ).
fof(f478,plain,
( spl0_12
<=> sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f470,plain,
( sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_identity))
| ~ spl0_5 ),
inference(resolution,[],[f147,f240]) ).
fof(f417,plain,
( spl0_11
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f407,f238,f414]) ).
fof(f407,plain,
( sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_inverse(additive_identity))
| ~ spl0_5 ),
inference(resolution,[],[f240,f91]) ).
fof(f400,plain,
( spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f390,f303,f397]) ).
fof(f390,plain,
( sum(additive_inverse(additive_identity),additive_identity,additive_inverse(additive_inverse(additive_identity)))
| ~ spl0_7 ),
inference(resolution,[],[f305,f91]) ).
fof(f364,plain,
spl0_9,
inference(avatar_split_clause,[],[f354,f361]) ).
fof(f354,plain,
sum(additive_identity,additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f244,f114]) ).
fof(f359,plain,
spl0_8,
inference(avatar_split_clause,[],[f352,f356]) ).
fof(f356,plain,
( spl0_8
<=> equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f352,plain,
equalish(additive_identity,additive_inverse(additive_inverse(additive_inverse(additive_identity)))),
inference(resolution,[],[f244,f35]) ).
fof(f306,plain,
spl0_7,
inference(avatar_split_clause,[],[f299,f303]) ).
fof(f299,plain,
sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_identity),
inference(resolution,[],[f114,f7]) ).
fof(f276,plain,
spl0_6,
inference(avatar_split_clause,[],[f270,f273]) ).
fof(f273,plain,
( spl0_6
<=> equalish(additive_identity,additive_inverse(additive_inverse(additive_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f270,plain,
equalish(additive_identity,additive_inverse(additive_inverse(additive_identity))),
inference(resolution,[],[f226,f36]) ).
fof(f241,plain,
( spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f236,f108,f238]) ).
fof(f236,plain,
( sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_identity)
| ~ spl0_4 ),
inference(resolution,[],[f91,f110]) ).
fof(f111,plain,
spl0_4,
inference(avatar_split_clause,[],[f104,f108]) ).
fof(f104,plain,
sum(additive_identity,additive_identity,additive_inverse(additive_identity)),
inference(resolution,[],[f94,f7]) ).
fof(f85,plain,
spl0_3,
inference(avatar_split_clause,[],[f77,f82]) ).
fof(f82,plain,
( spl0_3
<=> equalish(additive_identity,additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f77,plain,
equalish(additive_identity,additive_inverse(additive_identity)),
inference(resolution,[],[f35,f3]) ).
fof(f48,plain,
spl0_2,
inference(avatar_split_clause,[],[f41,f45]) ).
fof(f45,plain,
( spl0_2
<=> equalish(additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f41,plain,
equalish(additive_inverse(additive_identity),additive_identity),
inference(resolution,[],[f33,f7]) ).
fof(f23,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f18,f20]) ).
fof(f18,axiom,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 : n006.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 11:38:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.49 % (1043)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)
% 0.21/0.50 % (1025)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)
% 0.21/0.50 % (1009)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)
% 0.21/0.50 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.51 % (1013)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 TRYING [3]
% 0.21/0.51 % (1011)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (1011)Instruction limit reached!
% 0.21/0.51 % (1011)------------------------------
% 0.21/0.51 % (1011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (1011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (1011)Termination reason: Unknown
% 0.21/0.51 % (1011)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (1011)Memory used [KB]: 895
% 0.21/0.51 % (1011)Time elapsed: 0.002 s
% 0.21/0.51 % (1011)Instructions burned: 2 (million)
% 0.21/0.51 % (1011)------------------------------
% 0.21/0.51 % (1011)------------------------------
% 0.21/0.52 % (1008)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)
% 0.21/0.52 % (1042)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.52 % (1048)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)
% 0.21/0.52 % (1017)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (1007)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (1003)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)
% 0.21/0.52 % (1004)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)
% 0.21/0.52 % (1005)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)
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.52 % (1006)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)
% 0.21/0.52 % (1004)Refutation not found, incomplete strategy% (1004)------------------------------
% 0.21/0.52 % (1004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (1004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (1004)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (1004)Memory used [KB]: 5373
% 0.21/0.52 % (1004)Time elapsed: 0.129 s
% 0.21/0.52 % (1004)Instructions burned: 2 (million)
% 0.21/0.52 % (1004)------------------------------
% 0.21/0.52 % (1004)------------------------------
% 0.21/0.52 % (1010)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (1012)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)
% 0.21/0.53 % (1010)Instruction limit reached!
% 0.21/0.53 % (1010)------------------------------
% 0.21/0.53 % (1010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (1010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (1010)Termination reason: Unknown
% 0.21/0.53 % (1010)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (1010)Memory used [KB]: 5500
% 0.21/0.53 % (1010)Time elapsed: 0.130 s
% 0.21/0.53 % (1010)Instructions burned: 7 (million)
% 0.21/0.53 % (1010)------------------------------
% 0.21/0.53 % (1010)------------------------------
% 0.21/0.53 % (1051)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (1039)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)
% 0.21/0.53 % (1045)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (1044)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)
% 0.21/0.53 % (1040)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)
% 0.21/0.54 % (1046)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (1014)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)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 TRYING [4]
% 0.21/0.54 % (1047)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)
% 0.21/0.54 % (1015)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (1052)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)
% 0.21/0.54 % (1034)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)
% 0.21/0.54 % (1036)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (1028)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)
% 0.21/0.54 % (1037)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (1009)Instruction limit reached!
% 0.21/0.55 % (1009)------------------------------
% 0.21/0.55 % (1009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (1009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (1009)Termination reason: Unknown
% 0.21/0.55 % (1009)Termination phase: Finite model building constraint generation
% 0.21/0.55
% 0.21/0.55 % (1009)Memory used [KB]: 8315
% 0.21/0.55 % (1009)Time elapsed: 0.097 s
% 0.21/0.55 % (1009)Instructions burned: 51 (million)
% 0.21/0.55 % (1009)------------------------------
% 0.21/0.55 % (1009)------------------------------
% 0.21/0.57 TRYING [4]
% 0.21/0.58 % (1025)Instruction limit reached!
% 0.21/0.58 % (1025)------------------------------
% 0.21/0.58 % (1025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (1025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (1025)Termination reason: Unknown
% 0.21/0.58 % (1025)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (1025)Memory used [KB]: 6140
% 0.21/0.58 % (1025)Time elapsed: 0.059 s
% 0.21/0.58 % (1025)Instructions burned: 69 (million)
% 0.21/0.58 % (1025)------------------------------
% 0.21/0.58 % (1025)------------------------------
% 0.21/0.58 TRYING [4]
% 1.73/0.58 % (1005)Instruction limit reached!
% 1.73/0.58 % (1005)------------------------------
% 1.73/0.58 % (1005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58 % (1005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58 % (1005)Termination reason: Unknown
% 1.73/0.58 % (1005)Termination phase: Saturation
% 1.73/0.58
% 1.73/0.58 % (1005)Memory used [KB]: 1151
% 1.73/0.58 % (1005)Time elapsed: 0.169 s
% 1.73/0.58 % (1005)Instructions burned: 38 (million)
% 1.73/0.58 % (1005)------------------------------
% 1.73/0.58 % (1005)------------------------------
% 1.73/0.59 % (1012)Instruction limit reached!
% 1.73/0.59 % (1012)------------------------------
% 1.73/0.59 % (1012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59 % (1012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59 % (1012)Termination reason: Unknown
% 1.73/0.59 % (1012)Termination phase: Saturation
% 1.73/0.59
% 1.73/0.59 % (1012)Memory used [KB]: 1151
% 1.73/0.59 % (1012)Time elapsed: 0.176 s
% 1.73/0.59 % (1012)Instructions burned: 52 (million)
% 1.73/0.59 % (1012)------------------------------
% 1.73/0.59 % (1012)------------------------------
% 1.98/0.60 % (1008)Instruction limit reached!
% 1.98/0.60 % (1008)------------------------------
% 1.98/0.60 % (1008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.60 % (1036)Instruction limit reached!
% 1.98/0.60 % (1036)------------------------------
% 1.98/0.60 % (1036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.60 % (1007)Instruction limit reached!
% 1.98/0.60 % (1007)------------------------------
% 1.98/0.60 % (1007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.60 % (1007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.60 % (1007)Termination reason: Unknown
% 1.98/0.60 % (1007)Termination phase: Saturation
% 1.98/0.60
% 1.98/0.60 % (1007)Memory used [KB]: 5756
% 1.98/0.60 % (1007)Time elapsed: 0.210 s
% 1.98/0.60 % (1007)Instructions burned: 51 (million)
% 1.98/0.60 % (1007)------------------------------
% 1.98/0.60 % (1007)------------------------------
% 1.98/0.61 % (1036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.61 % (1036)Termination reason: Unknown
% 1.98/0.61 % (1036)Termination phase: Finite model building constraint generation
% 1.98/0.61
% 1.98/0.61 % (1036)Memory used [KB]: 8571
% 1.98/0.61 % (1036)Time elapsed: 0.169 s
% 1.98/0.61 % (1036)Instructions burned: 59 (million)
% 1.98/0.61 % (1036)------------------------------
% 1.98/0.61 % (1036)------------------------------
% 1.98/0.61 % (1013)Instruction limit reached!
% 1.98/0.61 % (1013)------------------------------
% 1.98/0.61 % (1013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.61 % (1013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.61 % (1013)Termination reason: Unknown
% 1.98/0.61 % (1013)Termination phase: Saturation
% 1.98/0.61
% 1.98/0.61 % (1013)Memory used [KB]: 6140
% 1.98/0.61 % (1013)Time elapsed: 0.220 s
% 1.98/0.61 % (1013)Instructions burned: 51 (million)
% 1.98/0.61 % (1013)------------------------------
% 1.98/0.61 % (1013)------------------------------
% 1.98/0.62 % (1008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62 % (1008)Termination reason: Unknown
% 1.98/0.62 % (1008)Termination phase: Saturation
% 1.98/0.62
% 1.98/0.62 % (1008)Memory used [KB]: 5756
% 1.98/0.62 % (1008)Time elapsed: 0.200 s
% 1.98/0.62 % (1008)Instructions burned: 49 (million)
% 1.98/0.62 % (1008)------------------------------
% 1.98/0.62 % (1008)------------------------------
% 1.98/0.62 % (1006)Instruction limit reached!
% 1.98/0.62 % (1006)------------------------------
% 1.98/0.62 % (1006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.62 % (1006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62 % (1006)Termination reason: Unknown
% 1.98/0.62 % (1006)Termination phase: Saturation
% 1.98/0.62
% 1.98/0.62 % (1006)Memory used [KB]: 5884
% 1.98/0.62 % (1006)Time elapsed: 0.206 s
% 1.98/0.62 % (1006)Instructions burned: 51 (million)
% 1.98/0.62 % (1006)------------------------------
% 1.98/0.62 % (1006)------------------------------
% 2.27/0.64 % (1047)Instruction limit reached!
% 2.27/0.64 % (1047)------------------------------
% 2.27/0.64 % (1047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65 % (1047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65 % (1047)Termination reason: Unknown
% 2.27/0.65 % (1047)Termination phase: Saturation
% 2.27/0.65
% 2.27/0.65 % (1039)Instruction limit reached!
% 2.27/0.65 % (1039)------------------------------
% 2.27/0.65 % (1039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65 % (1047)Memory used [KB]: 6140
% 2.27/0.65 % (1047)Time elapsed: 0.031 s
% 2.27/0.65 % (1047)Instructions burned: 70 (million)
% 2.27/0.65 % (1047)------------------------------
% 2.27/0.65 % (1047)------------------------------
% 2.27/0.66 % (1057)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.27/0.67 % (1054)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.27/0.67 % (1039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.67 % (1039)Termination reason: Unknown
% 2.27/0.67 % (1039)Termination phase: Saturation
% 2.27/0.67
% 2.27/0.67 % (1039)Memory used [KB]: 1151
% 2.27/0.67 % (1039)Time elapsed: 0.243 s
% 2.27/0.67 % (1039)Instructions burned: 102 (million)
% 2.27/0.67 % (1039)------------------------------
% 2.27/0.67 % (1039)------------------------------
% 2.27/0.68 % (1055)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.27/0.68 % (1056)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.27/0.69 % (1028)Instruction limit reached!
% 2.27/0.69 % (1028)------------------------------
% 2.27/0.69 % (1028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69 % (1028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69 % (1028)Termination reason: Unknown
% 2.27/0.69 % (1028)Termination phase: Saturation
% 2.27/0.69
% 2.27/0.69 % (1028)Memory used [KB]: 1279
% 2.27/0.69 % (1028)Time elapsed: 0.278 s
% 2.27/0.69 % (1028)Instructions burned: 76 (million)
% 2.27/0.69 % (1028)------------------------------
% 2.27/0.69 % (1028)------------------------------
% 2.27/0.69 % (1058)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.27/0.70 % (1037)Instruction limit reached!
% 2.27/0.70 % (1037)------------------------------
% 2.27/0.70 % (1037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70 % (1037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (1037)Termination reason: Unknown
% 2.27/0.70 % (1037)Termination phase: Saturation
% 2.27/0.70
% 2.27/0.70 % (1037)Memory used [KB]: 6012
% 2.27/0.70 % (1037)Time elapsed: 0.303 s
% 2.27/0.70 % (1037)Instructions burned: 101 (million)
% 2.27/0.70 % (1037)------------------------------
% 2.27/0.70 % (1037)------------------------------
% 2.27/0.70 % (1014)Instruction limit reached!
% 2.27/0.70 % (1014)------------------------------
% 2.27/0.70 % (1014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70 % (1014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (1014)Termination reason: Unknown
% 2.27/0.70 % (1014)Termination phase: Saturation
% 2.27/0.70
% 2.27/0.70 % (1014)Memory used [KB]: 6140
% 2.27/0.70 % (1014)Time elapsed: 0.307 s
% 2.27/0.70 % (1014)Instructions burned: 101 (million)
% 2.27/0.70 % (1014)------------------------------
% 2.27/0.70 % (1014)------------------------------
% 2.27/0.70 TRYING [5]
% 2.62/0.72 % (1059)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.62/0.72 % (1017)Instruction limit reached!
% 2.62/0.72 % (1017)------------------------------
% 2.62/0.72 % (1017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.72 % (1017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.72 % (1017)Termination reason: Unknown
% 2.62/0.72 % (1017)Termination phase: Saturation
% 2.62/0.72
% 2.62/0.72 % (1017)Memory used [KB]: 6012
% 2.62/0.72 % (1017)Time elapsed: 0.294 s
% 2.62/0.72 % (1017)Instructions burned: 99 (million)
% 2.62/0.72 % (1017)------------------------------
% 2.62/0.72 % (1017)------------------------------
% 2.62/0.72 % (1060)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.62/0.72 % (1015)Instruction limit reached!
% 2.62/0.72 % (1015)------------------------------
% 2.62/0.72 % (1015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.72 % (1015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.72 % (1015)Termination reason: Unknown
% 2.62/0.72 % (1015)Termination phase: Saturation
% 2.62/0.72
% 2.62/0.72 % (1015)Memory used [KB]: 6140
% 2.62/0.72 % (1015)Time elapsed: 0.332 s
% 2.62/0.72 % (1015)Instructions burned: 103 (million)
% 2.62/0.72 % (1015)------------------------------
% 2.62/0.72 % (1015)------------------------------
% 2.62/0.73 % (1034)Instruction limit reached!
% 2.62/0.73 % (1034)------------------------------
% 2.62/0.73 % (1034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73 % (1034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73 % (1034)Termination reason: Unknown
% 2.62/0.73 % (1034)Termination phase: Saturation
% 2.62/0.73
% 2.62/0.73 % (1034)Memory used [KB]: 6396
% 2.62/0.73 % (1034)Time elapsed: 0.311 s
% 2.62/0.73 % (1034)Instructions burned: 99 (million)
% 2.62/0.73 % (1034)------------------------------
% 2.62/0.73 % (1034)------------------------------
% 2.62/0.73 % (1061)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 (2997ds/68Mi)
% 2.62/0.74 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.62/0.74 % (1063)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.62/0.74 % (1062)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.62/0.74 % (1064)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.62/0.74 % (1065)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.94/0.78 % (1042)Instruction limit reached!
% 2.94/0.78 % (1042)------------------------------
% 2.94/0.78 % (1042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.78 % (1042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.78 % (1042)Termination reason: Unknown
% 2.94/0.78 % (1042)Termination phase: Saturation
% 2.94/0.78
% 2.94/0.78 % (1042)Memory used [KB]: 7547
% 2.94/0.78 % (1042)Time elapsed: 0.371 s
% 2.94/0.78 % (1042)Instructions burned: 138 (million)
% 2.94/0.78 % (1042)------------------------------
% 2.94/0.78 % (1042)------------------------------
% 2.94/0.79 % (1066)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.94/0.80 % (1067)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.94/0.81 % (1048)Instruction limit reached!
% 2.94/0.81 % (1048)------------------------------
% 2.94/0.81 % (1048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.81 % (1048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.81 % (1048)Termination reason: Unknown
% 2.94/0.81 % (1048)Termination phase: Saturation
% 2.94/0.81
% 2.94/0.81 % (1048)Memory used [KB]: 1918
% 2.94/0.81 % (1048)Time elapsed: 0.414 s
% 2.94/0.81 % (1048)Instructions burned: 179 (million)
% 2.94/0.81 % (1048)------------------------------
% 2.94/0.81 % (1048)------------------------------
% 2.94/0.81 % (1056)Instruction limit reached!
% 2.94/0.81 % (1056)------------------------------
% 2.94/0.81 % (1056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.81 % (1056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.81 % (1056)Termination reason: Unknown
% 2.94/0.81 % (1056)Termination phase: Saturation
% 2.94/0.81
% 2.94/0.81 % (1056)Memory used [KB]: 6012
% 2.94/0.81 % (1056)Time elapsed: 0.257 s
% 2.94/0.81 % (1056)Instructions burned: 90 (million)
% 2.94/0.81 % (1056)------------------------------
% 2.94/0.81 % (1056)------------------------------
% 2.94/0.82 % (1040)Instruction limit reached!
% 2.94/0.82 % (1040)------------------------------
% 2.94/0.82 % (1040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.82 % (1040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.82 % (1040)Termination reason: Unknown
% 2.94/0.82 % (1040)Termination phase: Saturation
% 2.94/0.82
% 2.94/0.82 % (1040)Memory used [KB]: 6396
% 2.94/0.82 % (1040)Time elapsed: 0.426 s
% 2.94/0.82 % (1040)Instructions burned: 177 (million)
% 2.94/0.82 % (1040)------------------------------
% 2.94/0.82 % (1040)------------------------------
% 2.94/0.83 % (1068)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.94/0.83 % (1071)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.94/0.83 % (1069)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.94/0.85 % (1072)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 (2996ds/68Mi)
% 3.27/0.86 % (1061)Instruction limit reached!
% 3.27/0.86 % (1061)------------------------------
% 3.27/0.86 % (1061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.86 % (1061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.86 % (1061)Termination reason: Unknown
% 3.27/0.86 % (1061)Termination phase: Saturation
% 3.27/0.86
% 3.27/0.86 % (1061)Memory used [KB]: 6140
% 3.27/0.86 % (1061)Time elapsed: 0.034 s
% 3.27/0.86 % (1061)Instructions burned: 70 (million)
% 3.27/0.86 % (1061)------------------------------
% 3.27/0.86 % (1061)------------------------------
% 3.27/0.86 % (1073)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.27/0.86 % (1075)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.44/0.90 % (1077)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.44/0.90 % (1064)Instruction limit reached!
% 3.44/0.90 % (1064)------------------------------
% 3.44/0.90 % (1064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.44/0.90 % (1064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.44/0.90 % (1064)Termination reason: Unknown
% 3.44/0.90 % (1064)Termination phase: Saturation
% 3.44/0.90
% 3.44/0.90 % (1064)Memory used [KB]: 6012
% 3.44/0.90 % (1064)Time elapsed: 0.262 s
% 3.44/0.90 % (1064)Instructions burned: 91 (million)
% 3.44/0.90 % (1064)------------------------------
% 3.44/0.90 % (1064)------------------------------
% 3.63/0.94 % (1078)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.63/0.95 % (1080)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.63/0.95 % (1079)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.63/0.96 % (1055)Instruction limit reached!
% 3.63/0.96 % (1055)------------------------------
% 3.63/0.96 % (1055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/0.96 % (1055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/0.96 % (1055)Termination reason: Unknown
% 3.63/0.96 % (1055)Termination phase: Saturation
% 3.63/0.96
% 3.63/0.96 % (1055)Memory used [KB]: 1535
% 3.63/0.96 % (1055)Time elapsed: 0.401 s
% 3.63/0.96 % (1055)Instructions burned: 212 (million)
% 3.63/0.96 % (1055)------------------------------
% 3.63/0.96 % (1055)------------------------------
% 3.63/0.96 % (1072)Instruction limit reached!
% 3.63/0.96 % (1072)------------------------------
% 3.63/0.96 % (1072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/0.96 % (1072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/0.96 % (1072)Termination reason: Unknown
% 3.63/0.96 % (1072)Termination phase: Saturation
% 3.63/0.96
% 3.63/0.96 % (1072)Memory used [KB]: 6140
% 3.63/0.96 % (1072)Time elapsed: 0.030 s
% 3.63/0.96 % (1072)Instructions burned: 68 (million)
% 3.63/0.96 % (1072)------------------------------
% 3.63/0.96 % (1072)------------------------------
% 3.63/0.99 % (1081)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.87/1.05 % (1052)Instruction limit reached!
% 3.87/1.05 % (1052)------------------------------
% 3.87/1.05 % (1052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.87/1.05 % (1052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.87/1.05 % (1052)Termination reason: Unknown
% 3.87/1.05 % (1052)Termination phase: Saturation
% 3.87/1.05
% 3.87/1.05 % (1052)Memory used [KB]: 7675
% 3.87/1.05 % (1052)Time elapsed: 0.637 s
% 3.87/1.05 % (1052)Instructions burned: 355 (million)
% 3.87/1.05 % (1052)------------------------------
% 3.87/1.05 % (1052)------------------------------
% 3.87/1.05 % (1082)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 5.67/1.09 % (1079)Instruction limit reached!
% 5.67/1.09 % (1079)------------------------------
% 5.67/1.09 % (1079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.67/1.09 % (1079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.67/1.09 % (1079)Termination reason: Unknown
% 5.67/1.09 % (1079)Termination phase: Saturation
% 5.67/1.09
% 5.67/1.09 % (1079)Memory used [KB]: 6140
% 5.67/1.09 % (1079)Time elapsed: 0.221 s
% 5.67/1.09 % (1079)Instructions burned: 90 (million)
% 5.67/1.09 % (1079)------------------------------
% 5.67/1.09 % (1079)------------------------------
% 5.67/1.09 % (1083)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.67/1.11 % (1084)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 5.67/1.11 % (1043)Instruction limit reached!
% 5.67/1.11 % (1043)------------------------------
% 5.67/1.11 % (1043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.67/1.11 % (1043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.67/1.11 % (1043)Termination reason: Unknown
% 5.67/1.11 % (1043)Termination phase: Saturation
% 5.67/1.11
% 5.67/1.11 % (1043)Memory used [KB]: 2942
% 5.67/1.11 % (1043)Time elapsed: 0.654 s
% 5.67/1.11 % (1043)Instructions burned: 499 (million)
% 5.67/1.11 % (1043)------------------------------
% 5.67/1.11 % (1043)------------------------------
% 5.67/1.12 TRYING [6]
% 6.47/1.18 % (1085)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.74/1.22 % (1045)Instruction limit reached!
% 6.74/1.22 % (1045)------------------------------
% 6.74/1.22 % (1045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.74/1.23 % (1045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.74/1.23 % (1045)Termination reason: Unknown
% 6.74/1.23 % (1045)Termination phase: Saturation
% 6.74/1.23
% 6.74/1.23 % (1045)Memory used [KB]: 6908
% 6.74/1.23 % (1045)Time elapsed: 0.814 s
% 6.74/1.23 % (1045)Instructions burned: 483 (million)
% 6.74/1.23 % (1045)------------------------------
% 6.74/1.23 % (1045)------------------------------
% 7.01/1.24 % (1086)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 7.01/1.25 % (1051)Instruction limit reached!
% 7.01/1.25 % (1051)------------------------------
% 7.01/1.25 % (1051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.01/1.25 % (1051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.01/1.25 % (1051)Termination reason: Unknown
% 7.01/1.25 % (1051)Termination phase: Saturation
% 7.01/1.25
% 7.01/1.25 % (1051)Memory used [KB]: 8059
% 7.01/1.25 % (1051)Time elapsed: 0.851 s
% 7.01/1.25 % (1051)Instructions burned: 439 (million)
% 7.01/1.25 % (1051)------------------------------
% 7.01/1.25 % (1051)------------------------------
% 7.01/1.26 % (1087)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9707Mi)
% 7.01/1.30 % (1054)Instruction limit reached!
% 7.01/1.30 % (1054)------------------------------
% 7.01/1.30 % (1054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.01/1.30 % (1054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.01/1.30 % (1054)Termination reason: Unknown
% 7.01/1.30 % (1054)Termination phase: Saturation
% 7.01/1.30
% 7.01/1.30 % (1054)Memory used [KB]: 7931
% 7.01/1.30 % (1054)Time elapsed: 0.737 s
% 7.01/1.30 % (1054)Instructions burned: 388 (million)
% 7.01/1.30 % (1054)------------------------------
% 7.01/1.30 % (1054)------------------------------
% 7.01/1.31 % (1088)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.62/1.34 % (1044)Instruction limit reached!
% 7.62/1.34 % (1044)------------------------------
% 7.62/1.34 % (1044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.62/1.34 % (1044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.62/1.34 % (1044)Termination reason: Unknown
% 7.62/1.34 % (1044)Termination phase: Saturation
% 7.62/1.34
% 7.62/1.34 % (1044)Memory used [KB]: 9338
% 7.62/1.34 % (1044)Time elapsed: 0.940 s
% 7.62/1.34 % (1044)Instructions burned: 468 (million)
% 7.62/1.34 % (1044)------------------------------
% 7.62/1.34 % (1044)------------------------------
% 7.62/1.37 % (1089)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 7.62/1.38 % (1046)Instruction limit reached!
% 7.62/1.38 % (1046)------------------------------
% 7.62/1.38 % (1046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.62/1.38 % (1046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.62/1.38 % (1046)Termination reason: Unknown
% 7.62/1.38 % (1046)Termination phase: Saturation
% 7.62/1.38
% 7.62/1.38 % (1046)Memory used [KB]: 7419
% 7.62/1.38 % (1046)Time elapsed: 0.967 s
% 7.62/1.38 % (1046)Instructions burned: 501 (million)
% 7.62/1.38 % (1046)------------------------------
% 7.62/1.38 % (1046)------------------------------
% 8.05/1.42 % (1088)Instruction limit reached!
% 8.05/1.42 % (1088)------------------------------
% 8.05/1.42 % (1088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.05/1.42 % (1088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.05/1.42 % (1088)Termination reason: Unknown
% 8.05/1.42 % (1088)Termination phase: Saturation
% 8.05/1.42
% 8.05/1.42 % (1088)Memory used [KB]: 6012
% 8.05/1.42 % (1088)Time elapsed: 0.124 s
% 8.05/1.42 % (1088)Instructions burned: 91 (million)
% 8.05/1.42 % (1088)------------------------------
% 8.05/1.42 % (1088)------------------------------
% 8.56/1.47 % (1091)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 8.56/1.49 % (1090)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 8.80/1.53 % (1092)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 8.95/1.55 % (1093)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/37001Mi)
% 9.51/1.66 % (1060)Instruction limit reached!
% 9.51/1.66 % (1060)------------------------------
% 9.51/1.66 % (1060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.51/1.66 % (1060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.51/1.66 % (1060)Termination reason: Unknown
% 9.51/1.66 % (1060)Termination phase: Saturation
% 9.51/1.66
% 9.51/1.66 % (1060)Memory used [KB]: 3837
% 9.51/1.66 % (1060)Time elapsed: 1.044 s
% 9.51/1.66 % (1060)Instructions burned: 657 (million)
% 9.51/1.66 % (1060)------------------------------
% 9.51/1.66 % (1060)------------------------------
% 10.65/1.73 % (1059)Instruction limit reached!
% 10.65/1.73 % (1059)------------------------------
% 10.65/1.73 % (1059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.65/1.73 % (1059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.65/1.73 % (1059)Termination reason: Unknown
% 10.65/1.73 % (1059)Termination phase: Saturation
% 10.65/1.73
% 10.65/1.73 % (1059)Memory used [KB]: 8059
% 10.65/1.73 % (1059)Time elapsed: 1.126 s
% 10.65/1.73 % (1059)Instructions burned: 747 (million)
% 10.65/1.73 % (1059)------------------------------
% 10.65/1.73 % (1059)------------------------------
% 11.31/1.80 % (1095)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/10187Mi)
% 11.70/1.85 % (1096)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/29337Mi)
% 13.99/2.15 % (1057)Instruction limit reached!
% 13.99/2.15 % (1057)------------------------------
% 13.99/2.15 % (1057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.99/2.15 % (1057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.99/2.15 % (1057)Termination reason: Unknown
% 13.99/2.15 % (1057)Termination phase: Saturation
% 13.99/2.15
% 13.99/2.15 % (1057)Memory used [KB]: 11001
% 13.99/2.15 % (1057)Time elapsed: 1.524 s
% 13.99/2.15 % (1057)Instructions burned: 921 (million)
% 13.99/2.15 % (1057)------------------------------
% 13.99/2.15 % (1057)------------------------------
% 13.99/2.17 % (1058)Instruction limit reached!
% 13.99/2.17 % (1058)------------------------------
% 13.99/2.17 % (1058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.99/2.18 TRYING [7]
% 13.99/2.19 % (1058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.99/2.19 % (1058)Termination reason: Unknown
% 13.99/2.19 % (1058)Termination phase: Saturation
% 13.99/2.19
% 13.99/2.19 % (1058)Memory used [KB]: 10490
% 13.99/2.19 % (1058)Time elapsed: 1.537 s
% 13.99/2.19 % (1058)Instructions burned: 934 (million)
% 13.99/2.19 % (1058)------------------------------
% 13.99/2.19 % (1058)------------------------------
% 14.91/2.30 % (1062)Instruction limit reached!
% 14.91/2.30 % (1062)------------------------------
% 14.91/2.30 % (1062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.91/2.30 % (1062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.91/2.30 % (1062)Termination reason: Unknown
% 14.91/2.30 % (1062)Termination phase: Saturation
% 14.91/2.30
% 14.91/2.30 % (1062)Memory used [KB]: 10874
% 14.91/2.30 % (1062)Time elapsed: 1.650 s
% 14.91/2.30 % (1062)Instructions burned: 941 (million)
% 14.91/2.30 % (1062)------------------------------
% 14.91/2.30 % (1062)------------------------------
% 14.91/2.30 % (1098)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/38056Mi)
% 14.91/2.30 TRYING [1]
% 14.91/2.31 TRYING [2]
% 15.56/2.31 TRYING [3]
% 15.56/2.34 TRYING [4]
% 15.56/2.34 % (1097)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/10147Mi)
% 16.17/2.39 % (1099)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/33239Mi)
% 16.17/2.41 TRYING [1]
% 16.17/2.41 TRYING [2]
% 16.17/2.42 TRYING [3]
% 16.17/2.42 TRYING [5]
% 16.17/2.43 TRYING [4]
% 17.16/2.54 TRYING [5]
% 17.85/2.65 % (1063)Instruction limit reached!
% 17.85/2.65 % (1063)------------------------------
% 17.85/2.65 % (1063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.85/2.65 % (1063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.85/2.65 % (1063)Termination reason: Unknown
% 17.85/2.65 % (1063)Termination phase: Saturation
% 17.85/2.65
% 17.85/2.65 % (1063)Memory used [KB]: 14839
% 17.85/2.65 % (1063)Time elapsed: 1.956 s
% 17.85/2.65 % (1063)Instructions burned: 981 (million)
% 17.85/2.65 % (1063)------------------------------
% 17.85/2.65 % (1063)------------------------------
% 18.45/2.71 TRYING [6]
% 19.59/2.82 % (1101)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/20987Mi)
% 19.68/2.84 TRYING [1]
% 19.68/2.84 TRYING [2]
% 19.68/2.84 TRYING [3]
% 19.68/2.88 TRYING [4]
% 19.68/2.90 TRYING [6]
% 20.93/3.01 TRYING [5]
% 24.36/3.43 TRYING [6]
% 26.89/3.74 % (1080)Instruction limit reached!
% 26.89/3.74 % (1080)------------------------------
% 26.89/3.74 % (1080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.89/3.74 % (1080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.89/3.74 % (1080)Termination reason: Unknown
% 26.89/3.74 % (1080)Termination phase: Saturation
% 26.89/3.74
% 26.89/3.74 % (1080)Memory used [KB]: 8571
% 26.89/3.74 % (1080)Time elapsed: 2.868 s
% 26.89/3.74 % (1080)Instructions burned: 2016 (million)
% 26.89/3.74 % (1080)------------------------------
% 26.89/3.74 % (1080)------------------------------
% 26.89/3.75 % (1065)Instruction limit reached!
% 26.89/3.75 % (1065)------------------------------
% 26.89/3.75 % (1065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.89/3.75 % (1065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.89/3.75 % (1065)Termination reason: Unknown
% 26.89/3.75 % (1065)Termination phase: Saturation
% 26.89/3.75
% 26.89/3.75 % (1065)Memory used [KB]: 9850
% 26.89/3.75 % (1065)Time elapsed: 3.088 s
% 26.89/3.75 % (1065)Instructions burned: 2016 (million)
% 26.89/3.75 % (1065)------------------------------
% 26.89/3.75 % (1065)------------------------------
% 26.89/3.81 % (1073)Instruction limit reached!
% 26.89/3.81 % (1073)------------------------------
% 26.89/3.81 % (1073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.54/3.83 % (1073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.54/3.83 % (1073)Termination reason: Unknown
% 27.54/3.83 % (1073)Termination phase: Saturation
% 27.54/3.83
% 27.54/3.83 % (1073)Memory used [KB]: 13432
% 27.54/3.83 % (1073)Time elapsed: 3.053 s
% 27.54/3.83 % (1073)Instructions burned: 1825 (million)
% 27.54/3.83 % (1073)------------------------------
% 27.54/3.83 % (1073)------------------------------
% 28.00/3.88 % (1102)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/49917Mi)
% 28.00/3.89 TRYING [7]
% 28.00/3.90 % (1103)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/19144Mi)
% 28.00/3.90 TRYING [1]
% 28.00/3.90 TRYING [2]
% 28.00/3.90 TRYING [3]
% 28.00/3.91 TRYING [4]
% 28.71/3.97 % (1104)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/27492Mi)
% 28.88/4.00 TRYING [7]
% 28.88/4.02 TRYING [5]
% 29.87/4.12 % (1085)Instruction limit reached!
% 29.87/4.12 % (1085)------------------------------
% 29.87/4.12 % (1085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.87/4.12 % (1085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.87/4.12 % (1085)Termination reason: Unknown
% 29.87/4.12 % (1085)Termination phase: Saturation
% 29.87/4.12
% 29.87/4.12 % (1085)Memory used [KB]: 9083
% 29.87/4.12 % (1085)Time elapsed: 2.939 s
% 29.87/4.12 % (1085)Instructions burned: 1824 (million)
% 29.87/4.12 % (1085)------------------------------
% 29.87/4.12 % (1085)------------------------------
% 30.33/4.22 % (1077)Instruction limit reached!
% 30.33/4.22 % (1077)------------------------------
% 30.33/4.22 % (1077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.33/4.23 % (1077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.33/4.23 % (1077)Termination reason: Unknown
% 30.33/4.23 % (1077)Termination phase: Saturation
% 30.33/4.23
% 30.33/4.23 % (1077)Memory used [KB]: 7036
% 30.33/4.23 % (1077)Time elapsed: 3.326 s
% 30.33/4.23 % (1077)Instructions burned: 2892 (million)
% 30.33/4.23 % (1077)------------------------------
% 30.33/4.23 % (1077)------------------------------
% 31.25/4.30 % (1105)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/6101Mi)
% 31.58/4.36 % (1106)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/90Mi)
% 31.58/4.40 TRYING [6]
% 32.12/4.42 % (1075)Instruction limit reached!
% 32.12/4.42 % (1075)------------------------------
% 32.12/4.42 % (1075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.12/4.42 % (1075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.12/4.42 % (1075)Termination reason: Unknown
% 32.12/4.42 % (1075)Termination phase: Saturation
% 32.12/4.42
% 32.12/4.42 % (1075)Memory used [KB]: 20212
% 32.12/4.42 % (1075)Time elapsed: 3.611 s
% 32.12/4.42 % (1075)Instructions burned: 2135 (million)
% 32.12/4.42 % (1075)------------------------------
% 32.12/4.42 % (1075)------------------------------
% 32.12/4.47 % (1106)Instruction limit reached!
% 32.12/4.47 % (1106)------------------------------
% 32.12/4.47 % (1106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.12/4.47 % (1106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.12/4.47 % (1106)Termination reason: Unknown
% 32.12/4.47 % (1106)Termination phase: Saturation
% 32.12/4.47
% 32.12/4.47 % (1106)Memory used [KB]: 5884
% 32.12/4.47 % (1106)Time elapsed: 0.132 s
% 32.12/4.47 % (1106)Instructions burned: 90 (million)
% 32.12/4.47 % (1106)------------------------------
% 32.12/4.47 % (1106)------------------------------
% 32.79/4.56 % (1107)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/91600Mi)
% 33.70/4.60 % (1108)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/7127Mi)
% 33.95/4.68 TRYING [7]
% 40.01/5.44 TRYING [8]
% 40.92/5.50 TRYING [7]
% 48.74/6.48 % (1066)Instruction limit reached!
% 48.74/6.48 % (1066)------------------------------
% 48.74/6.48 % (1066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.74/6.48 % (1066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.74/6.48 % (1066)Termination reason: Unknown
% 48.74/6.48 % (1066)Termination phase: Saturation
% 48.74/6.48
% 48.74/6.48 % (1066)Memory used [KB]: 16502
% 48.74/6.48 % (1066)Time elapsed: 5.813 s
% 48.74/6.48 % (1066)Instructions burned: 3735 (million)
% 48.74/6.48 % (1066)------------------------------
% 48.74/6.48 % (1066)------------------------------
% 49.82/6.64 % (1109)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/35256Mi)
% 51.40/6.83 TRYING [8]
% 56.23/7.42 TRYING [8]
% 58.13/7.68 TRYING [8]
% 62.22/8.18 % (1078)Instruction limit reached!
% 62.22/8.18 % (1078)------------------------------
% 62.22/8.18 % (1078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 62.22/8.18 % (1078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 62.22/8.18 % (1078)Termination reason: Unknown
% 62.22/8.18 % (1078)Termination phase: Saturation
% 62.22/8.18
% 62.22/8.18 % (1078)Memory used [KB]: 20980
% 62.22/8.18 % (1078)Time elapsed: 7.333 s
% 62.22/8.18 % (1078)Instructions burned: 4586 (million)
% 62.22/8.18 % (1078)------------------------------
% 62.22/8.18 % (1078)------------------------------
% 62.22/8.24 TRYING [8]
% 63.39/8.34 % (1113)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2921ds/32293Mi)
% 65.75/8.63 % (1069)Instruction limit reached!
% 65.75/8.63 % (1069)------------------------------
% 65.75/8.63 % (1069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.75/8.63 % (1069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.75/8.63 % (1069)Termination reason: Unknown
% 65.75/8.63 % (1069)Termination phase: Saturation
% 65.75/8.63
% 65.75/8.63 % (1069)Memory used [KB]: 12665
% 65.75/8.63 % (1069)Time elapsed: 7.892 s
% 65.75/8.63 % (1069)Instructions burned: 4756 (million)
% 65.75/8.63 % (1069)------------------------------
% 65.75/8.63 % (1069)------------------------------
% 67.20/8.80 % (1114)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/29337Mi)
% 68.88/9.07 % (1071)Instruction limit reached!
% 68.88/9.07 % (1071)------------------------------
% 68.88/9.07 % (1071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.88/9.07 % (1071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.88/9.07 % (1071)Termination reason: Unknown
% 68.88/9.07 % (1071)Termination phase: Saturation
% 68.88/9.07
% 68.88/9.07 % (1071)Memory used [KB]: 21875
% 68.88/9.07 % (1071)Time elapsed: 8.269 s
% 68.88/9.07 % (1071)Instructions burned: 4932 (million)
% 68.88/9.07 % (1071)------------------------------
% 68.88/9.07 % (1071)------------------------------
% 70.50/9.23 % (1115)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=99860:si=on:rawr=on:rtra=on_0 on theBenchmark for (2912ds/99860Mi)
% 70.50/9.23 TRYING [1]
% 70.50/9.24 TRYING [2]
% 70.50/9.24 TRYING [3]
% 70.50/9.27 TRYING [4]
% 70.50/9.29 % (1067)Instruction limit reached!
% 70.50/9.29 % (1067)------------------------------
% 70.50/9.29 % (1067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 71.16/9.30 % (1067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 71.16/9.30 % (1067)Termination reason: Unknown
% 71.16/9.30 % (1067)Termination phase: Saturation
% 71.16/9.30
% 71.16/9.30 % (1067)Memory used [KB]: 26737
% 71.16/9.30 % (1067)Time elapsed: 8.571 s
% 71.16/9.30 % (1067)Instructions burned: 4958 (million)
% 71.16/9.30 % (1067)------------------------------
% 71.16/9.30 % (1067)------------------------------
% 71.91/9.39 TRYING [5]
% 72.12/9.46 % (1116)fmb+10_1:1_fmbas=expand:i=96985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/96985Mi)
% 72.12/9.47 TRYING [1]
% 72.12/9.47 TRYING [2]
% 72.12/9.47 TRYING [3]
% 72.84/9.51 TRYING [4]
% 73.49/9.63 TRYING [5]
% 74.58/9.75 TRYING [6]
% 76.63/9.98 % (1068)Instruction limit reached!
% 76.63/9.98 % (1068)------------------------------
% 76.63/9.98 % (1068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 76.63/9.98 % (1068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 76.63/9.98 % (1068)Termination reason: Unknown
% 76.63/9.98 % (1068)Termination phase: Saturation
% 76.63/9.98
% 76.63/9.98 % (1068)Memory used [KB]: 31982
% 76.63/9.98 % (1068)Time elapsed: 9.266 s
% 76.63/9.98 % (1068)Instructions burned: 4959 (million)
% 76.63/9.98 % (1068)------------------------------
% 76.63/9.98 % (1068)------------------------------
% 76.63/9.98 % (1090)Instruction limit reached!
% 76.63/9.98 % (1090)------------------------------
% 76.63/9.98 % (1090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 76.63/10.00 % (1090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 76.63/10.00 % (1090)Termination reason: Unknown
% 76.63/10.00 % (1090)Termination phase: Saturation
% 76.63/10.00
% 76.63/10.00 % (1090)Memory used [KB]: 26737
% 76.63/10.00 % (1090)Time elapsed: 8.606 s
% 76.63/10.00 % (1090)Instructions burned: 4958 (million)
% 76.63/10.00 % (1090)------------------------------
% 76.63/10.00 % (1090)------------------------------
% 76.99/10.07 TRYING [6]
% 77.69/10.14 % (1117)fmb+10_1:1_bce=on:dr=on:fmbsr=1.47:gsp=on:nm=2:skr=on:i=99648:si=on:rawr=on:rtra=on_0 on theBenchmark for (2903ds/99648Mi)
% 77.69/10.14 TRYING [1]
% 77.69/10.16 TRYING [2]
% 77.69/10.16 TRYING [3]
% 78.26/10.19 % (1118)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=99882:si=on:rawr=on:rtra=on_0 on theBenchmark for (2903ds/99882Mi)
% 78.26/10.19 TRYING [4]
% 78.26/10.20 TRYING [1]
% 78.26/10.20 TRYING [2]
% 78.26/10.21 TRYING [3]
% 78.26/10.25 TRYING [4]
% 79.05/10.31 TRYING [5]
% 79.44/10.35 TRYING [5]
% 81.82/10.70 TRYING [6]
% 82.50/10.77 TRYING [6]
% 83.01/10.79 TRYING [7]
% 87.77/11.42 TRYING [7]
% 90.88/11.79 TRYING [7]
% 92.12/11.98 TRYING [7]
% 94.29/12.21 % (1105)Instruction limit reached!
% 94.29/12.21 % (1105)------------------------------
% 94.29/12.21 % (1105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 94.29/12.21 % (1105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 94.29/12.21 % (1105)Termination reason: Unknown
% 94.29/12.21 % (1105)Termination phase: Saturation
% 94.29/12.21
% 94.29/12.21 % (1105)Memory used [KB]: 9978
% 94.29/12.21 % (1105)Time elapsed: 7.943 s
% 94.29/12.21 % (1105)Instructions burned: 6104 (million)
% 94.29/12.21 % (1105)------------------------------
% 94.29/12.21 % (1105)------------------------------
% 95.23/12.37 % (1119)fmb+10_1:1_bce=on:fmbas=predicate:fmbsr=1.5:fmbsso=preprocessed_usage:nm=4:skr=on:i=99913:si=on:rawr=on:rtra=on_0 on theBenchmark for (2881ds/99913Mi)
% 95.23/12.37 TRYING [1]
% 95.23/12.37 TRYING [2]
% 95.23/12.37 TRYING [3]
% 95.86/12.40 TRYING [4]
% 96.51/12.54 TRYING [5]
% 97.49/12.71 TRYING [9]
% 100.56/12.99 TRYING [6]
% 100.79/13.08 % (1081)Instruction limit reached!
% 100.79/13.08 % (1081)------------------------------
% 100.79/13.08 % (1081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 100.79/13.08 % (1081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 100.79/13.08 % (1081)Termination reason: Unknown
% 100.79/13.08 % (1081)Termination phase: Saturation
% 100.79/13.08
% 100.79/13.08 % (1081)Memory used [KB]: 26353
% 100.79/13.08 % (1081)Time elapsed: 12.155 s
% 100.79/13.08 % (1081)Instructions burned: 8005 (million)
% 100.79/13.08 % (1081)------------------------------
% 100.79/13.08 % (1081)------------------------------
% 102.20/13.24 % (1120)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=28201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2872ds/28201Mi)
% 105.67/13.69 % (1087)Instruction limit reached!
% 105.67/13.69 % (1087)------------------------------
% 105.67/13.69 % (1087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 105.67/13.69 % (1087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 105.67/13.69 % (1087)Termination reason: Unknown
% 105.67/13.69 % (1087)Termination phase: Saturation
% 105.67/13.69
% 105.67/13.69 % (1087)Memory used [KB]: 11385
% 105.67/13.69 % (1087)Time elapsed: 12.429 s
% 105.67/13.69 % (1087)Instructions burned: 9707 (million)
% 105.67/13.69 % (1087)------------------------------
% 105.67/13.69 % (1087)------------------------------
% 107.01/13.85 TRYING [8]
% 107.01/13.86 % (1121)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2866ds/9707Mi)
% 108.81/14.05 TRYING [9]
% 109.31/14.11 TRYING [8]
% 109.31/14.14 TRYING [7]
% 115.89/14.96 TRYING [9]
% 116.47/15.05 TRYING [8]
% 118.81/15.31 % (1082)First to succeed.
% 118.81/15.33 TRYING [8]
% 118.81/15.36 % (1082)Refutation found. Thanks to Tanya!
% 118.81/15.36 % SZS status Unsatisfiable for theBenchmark
% 118.81/15.36 % SZS output start Proof for theBenchmark
% See solution above
% 118.81/15.37 % (1082)------------------------------
% 118.81/15.37 % (1082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 118.81/15.37 % (1082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 118.81/15.37 % (1082)Termination reason: Refutation
% 118.81/15.37
% 118.81/15.37 % (1082)Memory used [KB]: 34668
% 118.81/15.37 % (1082)Time elapsed: 14.279 s
% 118.81/15.37 % (1082)Instructions burned: 8024 (million)
% 118.81/15.37 % (1082)------------------------------
% 118.81/15.37 % (1082)------------------------------
% 118.81/15.37 % (1002)Success in time 15.021 s
%------------------------------------------------------------------------------