TSTP Solution File: BOO017-10 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO017-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 15:49:27 EDT 2022
% Result : Unsatisfiable 24.40s 3.46s
% Output : Refutation 24.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 436
% Syntax : Number of formulae : 1941 ( 343 unt; 0 def)
% Number of atoms : 3594 (1487 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2897 (1244 ~;1243 |; 0 &)
% ( 410 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 412 ( 410 usr; 411 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 3452 (3452 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20442,plain,
$false,
inference(avatar_smt_refutation,[],[f31,f36,f60,f65,f120,f126,f134,f142,f162,f239,f247,f253,f257,f318,f332,f341,f347,f392,f437,f443,f610,f624,f634,f639,f856,f862,f870,f876,f929,f936,f942,f949,f959,f965,f1036,f1046,f1052,f1058,f1063,f1069,f1121,f1127,f1132,f1297,f1303,f1309,f1459,f1465,f1470,f1472,f1484,f1490,f1504,f1511,f1524,f1525,f1537,f1542,f1563,f1569,f1573,f1574,f1601,f1716,f1720,f1730,f1859,f1864,f1936,f1955,f1961,f1965,f1966,f1967,f1978,f1982,f1985,f2004,f2020,f2082,f2088,f2148,f2153,f2167,f2174,f2181,f2189,f2315,f2320,f2325,f2333,f2338,f2343,f2374,f2387,f2394,f2411,f2415,f2416,f2428,f2499,f2512,f2546,f2550,f2555,f2556,f2557,f2558,f2638,f2643,f2648,f2652,f2658,f2666,f2672,f2677,f2682,f2689,f2694,f2699,f2704,f2709,f2715,f2720,f2727,f2733,f2741,f2746,f2752,f2759,f2764,f2769,f2774,f2779,f2784,f2789,f2802,f2804,f2970,f3042,f3106,f3132,f3221,f3225,f3235,f3241,f3459,f3469,f3482,f3487,f3514,f3518,f3521,f3535,f3550,f3567,f3583,f3595,f3599,f3601,f3618,f3632,f3773,f3780,f3785,f3801,f4023,f4032,f4041,f4056,f4106,f4160,f4170,f4179,f4193,f4257,f4268,f4272,f4329,f4347,f4359,f4364,f4435,f4442,f4449,f4456,f4462,f4467,f4475,f4501,f4519,f4551,f4556,f4561,f4562,f4572,f4574,f4668,f4682,f4694,f4701,f4831,f4837,f4846,f4856,f4861,f4863,f4873,f4879,f4898,f4973,f4978,f4991,f4996,f5001,f5041,f5045,f5066,f5070,f5084,f5100,f5157,f5166,f5171,f5176,f5213,f5261,f5267,f5277,f5287,f5299,f5324,f5371,f5377,f5383,f5412,f5534,f5541,f5550,f5556,f5730,f5743,f5748,f5871,f5880,f5885,f5889,f6034,f6100,f6106,f6121,f6136,f6243,f6251,f6257,f6261,f6577,f6583,f6592,f6605,f6793,f6820,f6827,f6833,f6924,f6928,f6942,f6947,f6991,f7000,f7018,f7028,f7255,f7260,f7267,f7284,f7409,f7767,f7771,f7781,f7792,f7916,f7921,f7928,f7949,f7954,f8002,f8009,f8027,f8041,f8144,f8149,f8166,f8172,f8179,f8224,f8233,f8240,f8245,f8250,f8256,f8261,f8266,f8315,f8325,f8335,f8717,f8729,f8740,f8972,f8983,f8998,f9008,f9035,f9081,f9086,f9090,f9095,f9099,f9103,f9107,f9112,f9117,f9273,f9278,f9282,f9287,f9295,f9300,f9305,f9310,f9315,f9321,f9326,f9330,f9335,f9340,f9345,f9350,f9355,f9359,f9364,f9368,f9369,f9374,f9379,f9384,f9389,f9394,f9402,f9407,f9412,f9417,f9423,f9428,f9430,f9434,f9439,f9444,f9449,f9454,f9459,f9467,f9472,f9473,f9478,f9485,f9491,f9496,f9501,f9506,f9511,f9517,f9522,f9526,f9531,f9536,f9539,f9544,f9550,f9558,f9564,f9569,f9579,f9672,f9677,f9682,f9686,f9692,f9697,f9702,f9706,f9711,f9715,f9723,f9728,f9733,f9738,f9744,f9749,f9754,f9760,f9765,f9770,f9775,f9782,f9787,f9792,f9797,f9801,f9806,f9811,f9817,f9822,f9827,f9832,f9837,f9842,f9847,f9852,f9853,f9858,f9866,f9872,f9877,f9881,f9887,f9892,f9897,f9901,f9908,f9913,f9918,f9923,f9929,f9937,f9942,f9947,f9954,f9958,f9963,f9971,f9976,f9981,f9983,f9992,f9996,f9997,f10001,f10006,f10011,f20434]) ).
fof(f20434,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f20433]) ).
fof(f20433,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f20432,f35]) ).
fof(f35,plain,
( true != product(x,z,x)
| spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> true = product(x,z,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f20432,plain,
( true = product(x,z,x)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f20280,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f20280,plain,
( true = ifeq(true,true,product(x,z,x),true)
| ~ spl0_3 ),
inference(superposition,[],[f6,f19429]) ).
fof(f19429,plain,
( true = product(z,x,x)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f19359,f2]) ).
fof(f19359,plain,
( true = ifeq(true,true,product(z,x,x),true)
| ~ spl0_3 ),
inference(superposition,[],[f17525,f59]) ).
fof(f59,plain,
( true = sum(y,x,z)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_3
<=> true = sum(y,x,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f17525,plain,
! [X2,X0,X1] : true = ifeq(sum(X1,X0,X2),true,product(X2,X0,X0),true),
inference(forward_demodulation,[],[f17436,f2]) ).
fof(f17436,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(sum(X1,X0,X2),true,product(X2,X0,X0),true),true),
inference(backward_demodulation,[],[f16009,f17180]) ).
fof(f17180,plain,
! [X0] : true = product(X0,additive_identity,additive_identity),
inference(superposition,[],[f4,f16721]) ).
fof(f16721,plain,
! [X112] : additive_identity = multiply(X112,additive_identity),
inference(forward_demodulation,[],[f16720,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f16720,plain,
! [X112] : additive_identity = ifeq2(true,true,multiply(X112,additive_identity),additive_identity),
inference(forward_demodulation,[],[f16644,f515]) ).
fof(f515,plain,
! [X2] : additive_identity = multiply(X2,inverse(X2)),
inference(forward_demodulation,[],[f511,f1]) ).
fof(f511,plain,
! [X2] : ifeq2(true,true,additive_identity,multiply(X2,inverse(X2))) = multiply(X2,inverse(X2)),
inference(superposition,[],[f178,f92]) ).
fof(f92,plain,
! [X4,X5] : true = product(X5,X4,multiply(X4,X5)),
inference(forward_demodulation,[],[f83,f2]) ).
fof(f83,plain,
! [X4,X5] : true = ifeq(true,true,product(X5,X4,multiply(X4,X5)),true),
inference(superposition,[],[f6,f4]) ).
fof(f178,plain,
! [X4,X5] : ifeq2(product(inverse(X4),X4,X5),true,additive_identity,X5) = X5,
inference(forward_demodulation,[],[f173,f1]) ).
fof(f173,plain,
! [X4,X5] : ifeq2(product(inverse(X4),X4,X5),true,ifeq2(true,true,additive_identity,X5),X5) = X5,
inference(superposition,[],[f24,f21]) ).
fof(f21,axiom,
! [X3] : true = product(inverse(X3),X3,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f24,axiom,
! [X3,X10,X11,X4] : ifeq2(product(X3,X4,X10),true,ifeq2(product(X3,X4,X11),true,X11,X10),X10) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f16644,plain,
! [X112] : ifeq2(true,true,multiply(X112,additive_identity),multiply(X112,inverse(X112))) = multiply(X112,inverse(X112)),
inference(superposition,[],[f188,f16587]) ).
fof(f16587,plain,
! [X0] : true = product(X0,inverse(X0),multiply(X0,additive_identity)),
inference(forward_demodulation,[],[f16571,f2]) ).
fof(f16571,plain,
! [X0] : true = ifeq(true,true,product(X0,inverse(X0),multiply(X0,additive_identity)),true),
inference(superposition,[],[f16561,f4]) ).
fof(f16561,plain,
! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,product(X0,inverse(X0),X1),true),
inference(forward_demodulation,[],[f16516,f2]) ).
fof(f16516,plain,
! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(true,true,product(X0,inverse(X0),X1),true),true),
inference(superposition,[],[f4469,f22]) ).
fof(f22,axiom,
! [X3] : true = product(X3,inverse(X3),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f4469,plain,
! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,X0),true,ifeq(product(X1,X2,additive_identity),true,product(X1,X2,X0),true),true),
inference(forward_demodulation,[],[f4408,f2]) ).
fof(f4408,plain,
! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,X0),true,ifeq(product(X1,X2,additive_identity),true,ifeq(true,true,product(X1,X2,X0),true),true),true),
inference(superposition,[],[f310,f7]) ).
fof(f7,axiom,
! [X3] : true = sum(additive_identity,X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f310,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,additive_identity,X7),true,ifeq(product(X6,X5,X8),true,ifeq(sum(X8,X7,X9),true,product(X6,X5,X9),true),true),true),
inference(forward_demodulation,[],[f295,f2]) ).
fof(f295,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,additive_identity,X7),true,ifeq(product(X6,X5,X8),true,ifeq(sum(X8,X7,X9),true,ifeq(true,true,product(X6,X5,X9),true),true),true),true),
inference(superposition,[],[f12,f8]) ).
fof(f8,axiom,
! [X3] : true = sum(X3,additive_identity,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f12,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X3,X5,X8),true,ifeq(product(X3,X4,X9),true,ifeq(sum(X9,X8,X7),true,ifeq(sum(X4,X5,X6),true,product(X3,X6,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f188,plain,
! [X10,X8,X9] : ifeq2(product(X8,X9,X10),true,X10,multiply(X8,X9)) = multiply(X8,X9),
inference(forward_demodulation,[],[f169,f1]) ).
fof(f169,plain,
! [X10,X8,X9] : ifeq2(true,true,ifeq2(product(X8,X9,X10),true,X10,multiply(X8,X9)),multiply(X8,X9)) = multiply(X8,X9),
inference(superposition,[],[f24,f4]) ).
fof(f4,axiom,
! [X3,X4] : true = product(X3,X4,multiply(X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f16009,plain,
! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,additive_identity),true,ifeq(sum(X1,X0,X2),true,product(X2,X0,X0),true),true),
inference(forward_demodulation,[],[f15987,f2]) ).
fof(f15987,plain,
! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,additive_identity),true,ifeq(true,true,ifeq(sum(X1,X0,X2),true,product(X2,X0,X0),true),true),true),
inference(superposition,[],[f2157,f7]) ).
fof(f2157,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,additive_identity,X2),true,ifeq(sum(X2,X0,X3),true,ifeq(sum(X1,X0,X4),true,product(X4,X0,X3),true),true),true),
inference(forward_demodulation,[],[f2117,f2]) ).
fof(f2117,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,additive_identity,X2),true,ifeq(sum(X2,X0,X3),true,ifeq(true,true,ifeq(sum(X1,X0,X4),true,product(X4,X0,X3),true),true),true),true),
inference(superposition,[],[f17,f7]) ).
fof(f17,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X4,X5,X6),true,ifeq(sum(X6,X3,X7),true,ifeq(sum(X5,X3,X8),true,ifeq(sum(X4,X3,X9),true,product(X9,X8,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity7) ).
fof(f6,axiom,
! [X3,X4,X5] : true = ifeq(product(X3,X4,X5),true,product(X4,X3,X5),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f10011,plain,
( spl0_410
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f10007,f9114,f10009]) ).
fof(f10009,plain,
( spl0_410
<=> ! [X139,X140] : true = ifeq(product(additive_identity,X139,additive_identity),true,ifeq(sum(X139,add(multiplicative_identity,multiplicative_identity),X140),true,product(additive_identity,X140,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f9114,plain,
( spl0_289
<=> true = product(additive_identity,add(multiplicative_identity,multiplicative_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f10007,plain,
( ! [X140,X139] : true = ifeq(product(additive_identity,X139,additive_identity),true,ifeq(sum(X139,add(multiplicative_identity,multiplicative_identity),X140),true,product(additive_identity,X140,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9639,f2]) ).
fof(f9639,plain,
( ! [X140,X139] : true = ifeq(true,true,ifeq(product(additive_identity,X139,additive_identity),true,ifeq(sum(X139,add(multiplicative_identity,multiplicative_identity),X140),true,product(additive_identity,X140,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f320,f9116]) ).
fof(f9116,plain,
( true = product(additive_identity,add(multiplicative_identity,multiplicative_identity),additive_identity)
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f9114]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,X3,additive_identity),true,ifeq(sum(X3,X2,X4),true,product(X1,X4,X0),true),true),true),
inference(forward_demodulation,[],[f286,f2]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,X3,additive_identity),true,ifeq(true,true,ifeq(sum(X3,X2,X4),true,product(X1,X4,X0),true),true),true),true),
inference(superposition,[],[f12,f7]) ).
fof(f10006,plain,
( spl0_409
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f10002,f9114,f10004]) ).
fof(f10004,plain,
( spl0_409
<=> ! [X160,X159] : true = ifeq(product(X159,add(multiplicative_identity,multiplicative_identity),X160),true,ifeq(sum(X159,multiplicative_identity,additive_identity),true,sum(X160,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f10002,plain,
( ! [X160,X159] : true = ifeq(product(X159,add(multiplicative_identity,multiplicative_identity),X160),true,ifeq(sum(X159,multiplicative_identity,additive_identity),true,sum(X160,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9649,f2]) ).
fof(f9649,plain,
( ! [X160,X159] : true = ifeq(true,true,ifeq(product(X159,add(multiplicative_identity,multiplicative_identity),X160),true,ifeq(sum(X159,multiplicative_identity,additive_identity),true,sum(X160,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f612,f9116]) ).
fof(f612,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X3,X0,X4),true,ifeq(sum(X3,multiplicative_identity,X1),true,sum(X4,X0,X2),true),true),true),
inference(forward_demodulation,[],[f576,f2]) ).
fof(f576,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(true,true,ifeq(product(X3,X0,X4),true,ifeq(sum(X3,multiplicative_identity,X1),true,sum(X4,X0,X2),true),true),true),true),
inference(superposition,[],[f13,f9]) ).
fof(f9,axiom,
! [X3] : true = product(multiplicative_identity,X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f13,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X6,X3,X7),true,ifeq(product(X5,X3,X8),true,ifeq(product(X4,X3,X9),true,ifeq(sum(X4,X5,X6),true,sum(X9,X8,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f10001,plain,
( spl0_408
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9632,f9114,f9999]) ).
fof(f9999,plain,
( spl0_408
<=> ! [X125,X126] : true = ifeq(product(additive_identity,additive_identity,X125),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X126),true,ifeq(sum(X126,X125,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f9632,plain,
( ! [X126,X125] : true = ifeq(product(additive_identity,additive_identity,X125),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X126),true,ifeq(sum(X126,X125,additive_identity),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f310,f9116]) ).
fof(f9997,plain,
( spl0_370
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9654,f9114,f9790]) ).
fof(f9790,plain,
( spl0_370
<=> ! [X178,X177] : true = ifeq(product(X177,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(product(X178,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X178,X177,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f9654,plain,
( ! [X170,X169] : true = ifeq(product(X169,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(product(X170,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X170,X169,additive_identity),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f850,f9116]) ).
fof(f850,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,X7,additive_identity),true,ifeq(product(X8,X7,X5),true,ifeq(sum(X8,X6,X9),true,product(X9,X7,X5),true),true),true),
inference(forward_demodulation,[],[f814,f2]) ).
fof(f814,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,X7,additive_identity),true,ifeq(product(X8,X7,X5),true,ifeq(true,true,ifeq(sum(X8,X6,X9),true,product(X9,X7,X5),true),true),true),true),
inference(superposition,[],[f14,f8]) ).
fof(f14,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X5,X3,X8),true,ifeq(product(X4,X3,X9),true,ifeq(sum(X9,X8,X7),true,ifeq(sum(X4,X5,X6),true,product(X6,X3,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f9996,plain,
( spl0_407
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9642,f9114,f9994]) ).
fof(f9994,plain,
( spl0_407
<=> ! [X146,X145] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X145),true,ifeq(product(additive_identity,additive_identity,X146),true,ifeq(sum(X146,X145,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f9642,plain,
( ! [X145,X146] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X145),true,ifeq(product(additive_identity,additive_identity,X146),true,ifeq(sum(X146,X145,additive_identity),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f348,f9116]) ).
fof(f348,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X1,additive_identity,X3),true,ifeq(sum(X3,X2,X4),true,product(X1,X0,X4),true),true),true),
inference(forward_demodulation,[],[f294,f2]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X1,additive_identity,X3),true,ifeq(sum(X3,X2,X4),true,ifeq(true,true,product(X1,X0,X4),true),true),true),true),
inference(superposition,[],[f12,f7]) ).
fof(f9992,plain,
( spl0_406
| ~ spl0_124
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9987,f9114,f3130,f9989]) ).
fof(f9989,plain,
( spl0_406
<=> true = ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f3130,plain,
( spl0_124
<=> ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(X6,X5,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f9987,plain,
( true = ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity),true,true,true)
| ~ spl0_124
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9593,f2]) ).
fof(f9593,plain,
( true = ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity),true,true,true),true)
| ~ spl0_124
| ~ spl0_289 ),
inference(superposition,[],[f3131,f9116]) ).
fof(f3131,plain,
( ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(X6,X5,additive_identity),true,true,true),true)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f3130]) ).
fof(f9983,plain,
( spl0_397
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9982,f9114,f9935]) ).
fof(f9935,plain,
( spl0_397
<=> ! [X150,X149] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X149),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X150),true,sum(X150,X149,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f9982,plain,
( ! [X168,X167] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X167),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X168),true,sum(X168,X167,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9653,f2]) ).
fof(f9653,plain,
( ! [X168,X167] : true = ifeq(true,true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X167),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X168),true,sum(X168,X167,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f643,f9116]) ).
fof(f643,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,ifeq(product(additive_identity,X1,X4),true,sum(X4,X3,X2),true),true),true),
inference(forward_demodulation,[],[f588,f2]) ).
fof(f588,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,ifeq(product(additive_identity,X1,X4),true,ifeq(true,true,sum(X4,X3,X2),true),true),true),true),
inference(superposition,[],[f13,f7]) ).
fof(f9981,plain,
( spl0_405
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9977,f9114,f9979]) ).
fof(f9979,plain,
( spl0_405
<=> ! [X162,X161] : true = ifeq(product(X161,add(multiplicative_identity,multiplicative_identity),X162),true,ifeq(sum(additive_identity,X161,multiplicative_identity),true,sum(additive_identity,X162,add(multiplicative_identity,multiplicative_identity)),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f9977,plain,
( ! [X162,X161] : true = ifeq(product(X161,add(multiplicative_identity,multiplicative_identity),X162),true,ifeq(sum(additive_identity,X161,multiplicative_identity),true,sum(additive_identity,X162,add(multiplicative_identity,multiplicative_identity)),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9650,f2]) ).
fof(f9650,plain,
( ! [X162,X161] : true = ifeq(product(X161,add(multiplicative_identity,multiplicative_identity),X162),true,ifeq(true,true,ifeq(sum(additive_identity,X161,multiplicative_identity),true,sum(additive_identity,X162,add(multiplicative_identity,multiplicative_identity)),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f640,f9116]) ).
fof(f640,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X3,X0,X4),true,ifeq(sum(X3,X1,multiplicative_identity),true,sum(X4,X2,X0),true),true),true),
inference(forward_demodulation,[],[f570,f2]) ).
fof(f570,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(product(X1,X0,X2),true,ifeq(product(X3,X0,X4),true,ifeq(sum(X3,X1,multiplicative_identity),true,sum(X4,X2,X0),true),true),true),true),
inference(superposition,[],[f13,f9]) ).
fof(f9976,plain,
( spl0_404
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9972,f9114,f9974]) ).
fof(f9974,plain,
( spl0_404
<=> ! [X74,X71,X73,X72] : true = ifeq(sum(X71,additive_identity,X72),true,ifeq(sum(X71,add(multiplicative_identity,multiplicative_identity),X73),true,ifeq(sum(X71,additive_identity,X74),true,product(X74,X73,X72),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f9972,plain,
( ! [X72,X73,X71,X74] : true = ifeq(sum(X71,additive_identity,X72),true,ifeq(sum(X71,add(multiplicative_identity,multiplicative_identity),X73),true,ifeq(sum(X71,additive_identity,X74),true,product(X74,X73,X72),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9608,f2]) ).
fof(f9608,plain,
( ! [X72,X73,X71,X74] : true = ifeq(true,true,ifeq(sum(X71,additive_identity,X72),true,ifeq(sum(X71,add(multiplicative_identity,multiplicative_identity),X73),true,ifeq(sum(X71,additive_identity,X74),true,product(X74,X73,X72),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f15,f9116]) ).
fof(f15,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X4,X5,X6),true,ifeq(sum(X3,X6,X7),true,ifeq(sum(X3,X5,X8),true,ifeq(sum(X3,X4,X9),true,product(X9,X8,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity5) ).
fof(f9971,plain,
( spl0_403
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9967,f9114,f9969]) ).
fof(f9969,plain,
( spl0_403
<=> ! [X114,X113] : true = ifeq(product(additive_identity,X113,X114),true,ifeq(sum(multiplicative_identity,X113,add(multiplicative_identity,multiplicative_identity)),true,sum(additive_identity,X114,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f9967,plain,
( ! [X113,X114] : true = ifeq(product(additive_identity,X113,X114),true,ifeq(sum(multiplicative_identity,X113,add(multiplicative_identity,multiplicative_identity)),true,sum(additive_identity,X114,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9626,f2]) ).
fof(f9626,plain,
( ! [X113,X114] : true = ifeq(true,true,ifeq(product(additive_identity,X113,X114),true,ifeq(sum(multiplicative_identity,X113,add(multiplicative_identity,multiplicative_identity)),true,sum(additive_identity,X114,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f242,f9116]) ).
fof(f242,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(product(X5,X8,X9),true,ifeq(sum(multiplicative_identity,X8,X6),true,sum(X5,X9,X7),true),true),true),
inference(forward_demodulation,[],[f210,f2]) ).
fof(f210,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(product(X5,X8,X9),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X8,X6),true,sum(X5,X9,X7),true),true),true),true),
inference(superposition,[],[f11,f10]) ).
fof(f10,axiom,
! [X3] : true = product(X3,multiplicative_identity,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f11,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X3,X6,X7),true,ifeq(product(X3,X5,X8),true,ifeq(product(X3,X4,X9),true,ifeq(sum(X4,X5,X6),true,sum(X9,X8,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f9963,plain,
( spl0_402
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9959,f9114,f9961]) ).
fof(f9961,plain,
( spl0_402
<=> ! [X148,X147] : true = ifeq(product(additive_identity,additive_identity,X147),true,ifeq(sum(X147,additive_identity,X148),true,product(additive_identity,add(multiplicative_identity,multiplicative_identity),X148),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f9959,plain,
( ! [X148,X147] : true = ifeq(product(additive_identity,additive_identity,X147),true,ifeq(sum(X147,additive_identity,X148),true,product(additive_identity,add(multiplicative_identity,multiplicative_identity),X148),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9643,f2]) ).
fof(f9643,plain,
( ! [X148,X147] : true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,X147),true,ifeq(sum(X147,additive_identity,X148),true,product(additive_identity,add(multiplicative_identity,multiplicative_identity),X148),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f348,f9116]) ).
fof(f9958,plain,
( spl0_401
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9605,f9114,f9956]) ).
fof(f9956,plain,
( spl0_401
<=> ! [X61,X60,X59,X62] : true = ifeq(product(X59,add(multiplicative_identity,multiplicative_identity),X60),true,ifeq(product(X61,add(multiplicative_identity,multiplicative_identity),X62),true,ifeq(sum(X62,X60,additive_identity),true,ifeq(sum(X61,X59,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f9605,plain,
( ! [X59,X62,X60,X61] : true = ifeq(product(X59,add(multiplicative_identity,multiplicative_identity),X60),true,ifeq(product(X61,add(multiplicative_identity,multiplicative_identity),X62),true,ifeq(sum(X62,X60,additive_identity),true,ifeq(sum(X61,X59,additive_identity),true,true,true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f14,f9116]) ).
fof(f9954,plain,
( spl0_400
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9950,f9114,f9952]) ).
fof(f9952,plain,
( spl0_400
<=> ! [X95,X98,X97,X96] : true = ifeq(product(X95,X96,X97),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X98,X96),true,ifeq(sum(additive_identity,X98,X95),true,sum(additive_identity,X98,X97),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f9950,plain,
( ! [X98,X96,X97,X95] : true = ifeq(product(X95,X96,X97),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X98,X96),true,ifeq(sum(additive_identity,X98,X95),true,sum(additive_identity,X98,X97),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9614,f2]) ).
fof(f9614,plain,
( ! [X98,X96,X97,X95] : true = ifeq(product(X95,X96,X97),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X98,X96),true,ifeq(sum(additive_identity,X98,X95),true,sum(additive_identity,X98,X97),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f18,f9116]) ).
fof(f18,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X9,X8,X7),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X5,X3,X8),true,ifeq(sum(X4,X3,X9),true,sum(X6,X3,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity8) ).
fof(f9947,plain,
( spl0_399
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9943,f9114,f9945]) ).
fof(f9945,plain,
( spl0_399
<=> ! [X118,X117] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X117),true,ifeq(product(additive_identity,additive_identity,X118),true,sum(additive_identity,X118,X117),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f9943,plain,
( ! [X118,X117] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X117),true,ifeq(product(additive_identity,additive_identity,X118),true,sum(additive_identity,X118,X117),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9628,f2]) ).
fof(f9628,plain,
( ! [X118,X117] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X117),true,ifeq(product(additive_identity,additive_identity,X118),true,ifeq(true,true,sum(additive_identity,X118,X117),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f262,f9116]) ).
fof(f262,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,X5,X7),true,ifeq(product(X6,additive_identity,X8),true,ifeq(product(X6,X5,X9),true,sum(X9,X8,X7),true),true),true),
inference(forward_demodulation,[],[f216,f2]) ).
fof(f216,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,X5,X7),true,ifeq(product(X6,additive_identity,X8),true,ifeq(product(X6,X5,X9),true,ifeq(true,true,sum(X9,X8,X7),true),true),true),true),
inference(superposition,[],[f11,f8]) ).
fof(f9942,plain,
( spl0_398
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9938,f9114,f9940]) ).
fof(f9940,plain,
( spl0_398
<=> ! [X112,X111] : true = ifeq(product(additive_identity,X111,X112),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X111),true,sum(additive_identity,additive_identity,X112),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f9938,plain,
( ! [X111,X112] : true = ifeq(product(additive_identity,X111,X112),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X111),true,sum(additive_identity,additive_identity,X112),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9625,f2]) ).
fof(f9625,plain,
( ! [X111,X112] : true = ifeq(product(additive_identity,X111,X112),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X111),true,sum(additive_identity,additive_identity,X112),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f241,f9116]) ).
fof(f241,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(product(X5,X8,X9),true,ifeq(sum(X8,multiplicative_identity,X6),true,sum(X9,X5,X7),true),true),true),
inference(forward_demodulation,[],[f204,f2]) ).
fof(f204,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(true,true,ifeq(product(X5,X8,X9),true,ifeq(sum(X8,multiplicative_identity,X6),true,sum(X9,X5,X7),true),true),true),true),
inference(superposition,[],[f11,f10]) ).
fof(f9937,plain,
( spl0_397
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9933,f9114,f9935]) ).
fof(f9933,plain,
( ! [X150,X149] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X149),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X150),true,sum(X150,X149,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9644,f2]) ).
fof(f9644,plain,
( ! [X150,X149] : true = ifeq(true,true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X149),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X150),true,sum(X150,X149,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f606,f9116]) ).
fof(f606,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(product(additive_identity,X6,X8),true,ifeq(product(X5,X6,X9),true,sum(X9,X8,X7),true),true),true),
inference(forward_demodulation,[],[f589,f2]) ).
fof(f589,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(product(additive_identity,X6,X8),true,ifeq(product(X5,X6,X9),true,ifeq(true,true,sum(X9,X8,X7),true),true),true),true),
inference(superposition,[],[f13,f8]) ).
fof(f9929,plain,
( spl0_396
| ~ spl0_103
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9924,f9114,f2692,f9926]) ).
fof(f9926,plain,
( spl0_396
<=> true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),additive_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f2692,plain,
( spl0_103
<=> ! [X11,X10] : true = ifeq(product(X10,X11,X10),true,ifeq(sum(X10,X11,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f9924,plain,
( true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),additive_identity),true,true,true)
| ~ spl0_103
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9589,f2]) ).
fof(f9589,plain,
( true = ifeq(true,true,ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),additive_identity),true,true,true),true)
| ~ spl0_103
| ~ spl0_289 ),
inference(superposition,[],[f2693,f9116]) ).
fof(f2693,plain,
( ! [X10,X11] : true = ifeq(product(X10,X11,X10),true,ifeq(sum(X10,X11,additive_identity),true,true,true),true)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f2692]) ).
fof(f9923,plain,
( spl0_395
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9919,f9114,f9921]) ).
fof(f9921,plain,
( spl0_395
<=> ! [X6,X7,X8] : true = ifeq(product(X6,add(multiplicative_identity,multiplicative_identity),X7),true,ifeq(product(X6,add(multiplicative_identity,multiplicative_identity),X8),true,sum(X8,additive_identity,X7),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f9919,plain,
( ! [X8,X6,X7] : true = ifeq(product(X6,add(multiplicative_identity,multiplicative_identity),X7),true,ifeq(product(X6,add(multiplicative_identity,multiplicative_identity),X8),true,sum(X8,additive_identity,X7),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9582,f2]) ).
fof(f9582,plain,
( ! [X8,X6,X7] : true = ifeq(product(X6,add(multiplicative_identity,multiplicative_identity),X7),true,ifeq(true,true,ifeq(product(X6,add(multiplicative_identity,multiplicative_identity),X8),true,sum(X8,additive_identity,X7),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f606,f9116]) ).
fof(f9918,plain,
( spl0_394
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9914,f9114,f9916]) ).
fof(f9916,plain,
( spl0_394
<=> ! [X2,X0,X1] : true = ifeq(product(X0,add(multiplicative_identity,multiplicative_identity),X1),true,ifeq(sum(X1,additive_identity,X2),true,product(X0,add(multiplicative_identity,multiplicative_identity),X2),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f9914,plain,
( ! [X2,X0,X1] : true = ifeq(product(X0,add(multiplicative_identity,multiplicative_identity),X1),true,ifeq(sum(X1,additive_identity,X2),true,product(X0,add(multiplicative_identity,multiplicative_identity),X2),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9580,f2]) ).
fof(f9580,plain,
( ! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X0,add(multiplicative_identity,multiplicative_identity),X1),true,ifeq(sum(X1,additive_identity,X2),true,product(X0,add(multiplicative_identity,multiplicative_identity),X2),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f864,f9116]) ).
fof(f864,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(product(X5,X6,X8),true,ifeq(sum(X8,X7,X9),true,product(X5,X6,X9),true),true),true),
inference(forward_demodulation,[],[f822,f2]) ).
fof(f822,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(product(X5,X6,X8),true,ifeq(sum(X8,X7,X9),true,ifeq(true,true,product(X5,X6,X9),true),true),true),true),
inference(superposition,[],[f14,f8]) ).
fof(f9913,plain,
( spl0_393
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9909,f9114,f9911]) ).
fof(f9911,plain,
( spl0_393
<=> ! [X85,X83,X84,X86] : true = ifeq(product(X83,X84,X85),true,ifeq(sum(X86,X84,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X86,X83,additive_identity),true,sum(X86,X85,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f9909,plain,
( ! [X83,X86,X84,X85] : true = ifeq(product(X83,X84,X85),true,ifeq(sum(X86,X84,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X86,X83,additive_identity),true,sum(X86,X85,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9611,f2]) ).
fof(f9611,plain,
( ! [X83,X86,X84,X85] : true = ifeq(true,true,ifeq(product(X83,X84,X85),true,ifeq(sum(X86,X84,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X86,X83,additive_identity),true,sum(X86,X85,additive_identity),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f16,f9116]) ).
fof(f16,axiom,
! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X9,X8,X7),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X3,X5,X8),true,ifeq(sum(X3,X4,X9),true,sum(X3,X6,X7),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity6) ).
fof(f9908,plain,
( spl0_392
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9903,f9114,f9905]) ).
fof(f9905,plain,
( spl0_392
<=> true = ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f9903,plain,
( true = ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9592,f2]) ).
fof(f9592,plain,
( true = ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,multiplicative_identity),true,true,true),true)
| ~ spl0_289 ),
inference(superposition,[],[f3110,f9116]) ).
fof(f3110,plain,
! [X0,X1] : true = ifeq(product(X0,X1,X0),true,ifeq(sum(X1,X0,multiplicative_identity),true,true,true),true),
inference(forward_demodulation,[],[f3078,f2]) ).
fof(f3078,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(product(X0,X1,X0),true,ifeq(sum(X1,X0,multiplicative_identity),true,true,true),true),true),
inference(superposition,[],[f2294,f9]) ).
fof(f2294,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X2,X1),true,ifeq(product(X0,X3,X0),true,ifeq(sum(X3,X0,X2),true,true,true),true),true),
inference(superposition,[],[f18,f5]) ).
fof(f5,axiom,
! [X3,X4,X5] : true = ifeq(sum(X3,X4,X5),true,sum(X4,X3,X5),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f9901,plain,
( spl0_391
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9599,f9114,f9899]) ).
fof(f9899,plain,
( spl0_391
<=> ! [X38,X36,X35,X37] : true = ifeq(product(additive_identity,X35,X36),true,ifeq(product(additive_identity,X37,X38),true,ifeq(sum(X38,X36,additive_identity),true,ifeq(sum(X37,X35,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f9599,plain,
( ! [X38,X36,X37,X35] : true = ifeq(product(additive_identity,X35,X36),true,ifeq(product(additive_identity,X37,X38),true,ifeq(sum(X38,X36,additive_identity),true,ifeq(sum(X37,X35,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f12,f9116]) ).
fof(f9897,plain,
( spl0_390
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9893,f9114,f9895]) ).
fof(f9895,plain,
( spl0_390
<=> ! [X153,X154] : true = ifeq(product(X153,add(multiplicative_identity,multiplicative_identity),X154),true,ifeq(sum(multiplicative_identity,additive_identity,X153),true,sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X154),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f9893,plain,
( ! [X153,X154] : true = ifeq(product(X153,add(multiplicative_identity,multiplicative_identity),X154),true,ifeq(sum(multiplicative_identity,additive_identity,X153),true,sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X154),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9646,f2]) ).
fof(f9646,plain,
( ! [X153,X154] : true = ifeq(product(X153,add(multiplicative_identity,multiplicative_identity),X154),true,ifeq(true,true,ifeq(sum(multiplicative_identity,additive_identity,X153),true,sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X154),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f611,f9116]) ).
fof(f611,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X3,X0,X4),true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),
inference(forward_demodulation,[],[f582,f2]) ).
fof(f582,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X3,X0,X4),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),true),
inference(superposition,[],[f13,f9]) ).
fof(f9892,plain,
( spl0_389
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9888,f9114,f9890]) ).
fof(f9890,plain,
( spl0_389
<=> ! [X88,X87,X90,X89] : true = ifeq(sum(additive_identity,X87,X88),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X87,X89),true,ifeq(sum(additive_identity,X87,X90),true,product(X90,X89,X88),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f9888,plain,
( ! [X90,X88,X89,X87] : true = ifeq(sum(additive_identity,X87,X88),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X87,X89),true,ifeq(sum(additive_identity,X87,X90),true,product(X90,X89,X88),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9612,f2]) ).
fof(f9612,plain,
( ! [X90,X88,X89,X87] : true = ifeq(true,true,ifeq(sum(additive_identity,X87,X88),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X87,X89),true,ifeq(sum(additive_identity,X87,X90),true,product(X90,X89,X88),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f17,f9116]) ).
fof(f9887,plain,
( spl0_388
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9883,f9114,f9885]) ).
fof(f9885,plain,
( spl0_388
<=> ! [X121,X122] : true = ifeq(product(additive_identity,X121,X122),true,ifeq(sum(X121,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,sum(X122,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f9883,plain,
( ! [X121,X122] : true = ifeq(product(additive_identity,X121,X122),true,ifeq(sum(X121,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,sum(X122,additive_identity,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9630,f2]) ).
fof(f9630,plain,
( ! [X121,X122] : true = ifeq(true,true,ifeq(product(additive_identity,X121,X122),true,ifeq(sum(X121,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,sum(X122,additive_identity,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f267,f9116]) ).
fof(f267,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(product(X5,X8,X9),true,ifeq(sum(X8,X6,multiplicative_identity),true,sum(X9,X7,X5),true),true),true),
inference(forward_demodulation,[],[f198,f2]) ).
fof(f198,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(true,true,ifeq(product(X5,X6,X7),true,ifeq(product(X5,X8,X9),true,ifeq(sum(X8,X6,multiplicative_identity),true,sum(X9,X7,X5),true),true),true),true),
inference(superposition,[],[f11,f10]) ).
fof(f9881,plain,
( spl0_387
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9635,f9114,f9879]) ).
fof(f9879,plain,
( spl0_387
<=> ! [X132,X131] : true = ifeq(product(additive_identity,X131,X132),true,ifeq(sum(additive_identity,X132,additive_identity),true,ifeq(sum(multiplicative_identity,X131,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f9635,plain,
( ! [X132,X131] : true = ifeq(product(additive_identity,X131,X132),true,ifeq(sum(additive_identity,X132,additive_identity),true,ifeq(sum(multiplicative_identity,X131,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f312,f9116]) ).
fof(f312,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(sum(X5,X7,X8),true,ifeq(sum(multiplicative_identity,X6,X9),true,product(X5,X9,X8),true),true),true),
inference(forward_demodulation,[],[f281,f2]) ).
fof(f281,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(true,true,ifeq(sum(X5,X7,X8),true,ifeq(sum(multiplicative_identity,X6,X9),true,product(X5,X9,X8),true),true),true),true),
inference(superposition,[],[f12,f10]) ).
fof(f9877,plain,
( spl0_386
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9873,f9114,f9875]) ).
fof(f9875,plain,
( spl0_386
<=> ! [X31,X34,X33,X32] : true = ifeq(product(additive_identity,X31,X32),true,ifeq(product(additive_identity,X33,X34),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X33,X31),true,sum(additive_identity,X34,X32),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f9873,plain,
( ! [X31,X34,X32,X33] : true = ifeq(product(additive_identity,X31,X32),true,ifeq(product(additive_identity,X33,X34),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X33,X31),true,sum(additive_identity,X34,X32),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9598,f2]) ).
fof(f9598,plain,
( ! [X31,X34,X32,X33] : true = ifeq(product(additive_identity,X31,X32),true,ifeq(product(additive_identity,X33,X34),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X33,X31),true,sum(additive_identity,X34,X32),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f11,f9116]) ).
fof(f9872,plain,
( spl0_385
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9868,f9114,f9870]) ).
fof(f9870,plain,
( spl0_385
<=> ! [X48,X47,X50,X49] : true = ifeq(product(X47,add(multiplicative_identity,multiplicative_identity),X48),true,ifeq(product(X49,add(multiplicative_identity,multiplicative_identity),X50),true,ifeq(sum(X49,X47,additive_identity),true,sum(X50,X48,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f9868,plain,
( ! [X50,X48,X49,X47] : true = ifeq(product(X47,add(multiplicative_identity,multiplicative_identity),X48),true,ifeq(product(X49,add(multiplicative_identity,multiplicative_identity),X50),true,ifeq(sum(X49,X47,additive_identity),true,sum(X50,X48,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9602,f2]) ).
fof(f9602,plain,
( ! [X50,X48,X49,X47] : true = ifeq(true,true,ifeq(product(X47,add(multiplicative_identity,multiplicative_identity),X48),true,ifeq(product(X49,add(multiplicative_identity,multiplicative_identity),X50),true,ifeq(sum(X49,X47,additive_identity),true,sum(X50,X48,additive_identity),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f13,f9116]) ).
fof(f9866,plain,
( spl0_384
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9862,f9114,f9864]) ).
fof(f9864,plain,
( spl0_384
<=> ! [X109,X110] : true = ifeq(product(additive_identity,X109,X110),true,ifeq(sum(X109,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,sum(X110,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f9862,plain,
( ! [X109,X110] : true = ifeq(product(additive_identity,X109,X110),true,ifeq(sum(X109,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,sum(X110,additive_identity,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9624,f2]) ).
fof(f9624,plain,
( ! [X109,X110] : true = ifeq(true,true,ifeq(product(additive_identity,X109,X110),true,ifeq(sum(X109,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,sum(X110,additive_identity,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f241,f9116]) ).
fof(f9858,plain,
( spl0_383
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9854,f9114,f9856]) ).
fof(f9856,plain,
( spl0_383
<=> ! [X16,X17,X15] : true = ifeq(product(additive_identity,X15,X16),true,ifeq(sum(X15,add(multiplicative_identity,multiplicative_identity),X17),true,product(additive_identity,X17,X16),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f9854,plain,
( ! [X16,X17,X15] : true = ifeq(product(additive_identity,X15,X16),true,ifeq(sum(X15,add(multiplicative_identity,multiplicative_identity),X17),true,product(additive_identity,X17,X16),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9585,f2]) ).
fof(f9585,plain,
( ! [X16,X17,X15] : true = ifeq(true,true,ifeq(product(additive_identity,X15,X16),true,ifeq(sum(X15,add(multiplicative_identity,multiplicative_identity),X17),true,product(additive_identity,X17,X16),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f323,f9116]) ).
fof(f323,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,X7,additive_identity),true,ifeq(product(X6,X8,X5),true,ifeq(sum(X8,X7,X9),true,product(X6,X9,X5),true),true),true),
inference(forward_demodulation,[],[f287,f2]) ).
fof(f287,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,X7,additive_identity),true,ifeq(product(X6,X8,X5),true,ifeq(true,true,ifeq(sum(X8,X7,X9),true,product(X6,X9,X5),true),true),true),true),
inference(superposition,[],[f12,f8]) ).
fof(f9853,plain,
( spl0_350
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9640,f9114,f9684]) ).
fof(f9684,plain,
( spl0_350
<=> ! [X137,X138] : true = ifeq(product(additive_identity,X137,additive_identity),true,ifeq(product(additive_identity,X138,additive_identity),true,ifeq(sum(X138,X137,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f9640,plain,
( ! [X142,X141] : true = ifeq(product(additive_identity,X141,additive_identity),true,ifeq(product(additive_identity,X142,additive_identity),true,ifeq(sum(X142,X141,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f323,f9116]) ).
fof(f9852,plain,
( spl0_382
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9848,f9114,f9850]) ).
fof(f9850,plain,
( spl0_382
<=> ! [X44,X43,X46,X45] : true = ifeq(product(additive_identity,X43,X44),true,ifeq(sum(additive_identity,X44,X45),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X43,X46),true,product(additive_identity,X46,X45),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f9848,plain,
( ! [X46,X44,X45,X43] : true = ifeq(product(additive_identity,X43,X44),true,ifeq(sum(additive_identity,X44,X45),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X43,X46),true,product(additive_identity,X46,X45),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9601,f2]) ).
fof(f9601,plain,
( ! [X46,X44,X45,X43] : true = ifeq(product(additive_identity,X43,X44),true,ifeq(true,true,ifeq(sum(additive_identity,X44,X45),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X43,X46),true,product(additive_identity,X46,X45),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f12,f9116]) ).
fof(f9847,plain,
( spl0_381
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9843,f9114,f9845]) ).
fof(f9845,plain,
( spl0_381
<=> ! [X24,X23,X25,X26] : true = ifeq(product(additive_identity,X23,X24),true,ifeq(product(additive_identity,X25,X26),true,ifeq(sum(X25,X23,add(multiplicative_identity,multiplicative_identity)),true,sum(X26,X24,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f9843,plain,
( ! [X26,X24,X25,X23] : true = ifeq(product(additive_identity,X23,X24),true,ifeq(product(additive_identity,X25,X26),true,ifeq(sum(X25,X23,add(multiplicative_identity,multiplicative_identity)),true,sum(X26,X24,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9596,f2]) ).
fof(f9596,plain,
( ! [X26,X24,X25,X23] : true = ifeq(true,true,ifeq(product(additive_identity,X23,X24),true,ifeq(product(additive_identity,X25,X26),true,ifeq(sum(X25,X23,add(multiplicative_identity,multiplicative_identity)),true,sum(X26,X24,additive_identity),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f11,f9116]) ).
fof(f9842,plain,
( spl0_380
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9838,f9114,f9840]) ).
fof(f9840,plain,
( spl0_380
<=> ! [X41,X40,X42,X39] : true = ifeq(product(additive_identity,X39,X40),true,ifeq(sum(X40,additive_identity,X41),true,ifeq(sum(X39,add(multiplicative_identity,multiplicative_identity),X42),true,product(additive_identity,X42,X41),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f9838,plain,
( ! [X40,X41,X39,X42] : true = ifeq(product(additive_identity,X39,X40),true,ifeq(sum(X40,additive_identity,X41),true,ifeq(sum(X39,add(multiplicative_identity,multiplicative_identity),X42),true,product(additive_identity,X42,X41),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9600,f2]) ).
fof(f9600,plain,
( ! [X40,X41,X39,X42] : true = ifeq(true,true,ifeq(product(additive_identity,X39,X40),true,ifeq(sum(X40,additive_identity,X41),true,ifeq(sum(X39,add(multiplicative_identity,multiplicative_identity),X42),true,product(additive_identity,X42,X41),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f12,f9116]) ).
fof(f9837,plain,
( spl0_379
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9833,f9114,f9835]) ).
fof(f9835,plain,
( spl0_379
<=> ! [X4,X5,X3] : true = ifeq(product(X3,add(multiplicative_identity,multiplicative_identity),X4),true,ifeq(product(X3,add(multiplicative_identity,multiplicative_identity),X5),true,sum(additive_identity,X5,X4),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f9833,plain,
( ! [X3,X4,X5] : true = ifeq(product(X3,add(multiplicative_identity,multiplicative_identity),X4),true,ifeq(product(X3,add(multiplicative_identity,multiplicative_identity),X5),true,sum(additive_identity,X5,X4),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9581,f2]) ).
fof(f9581,plain,
( ! [X3,X4,X5] : true = ifeq(product(X3,add(multiplicative_identity,multiplicative_identity),X4),true,ifeq(product(X3,add(multiplicative_identity,multiplicative_identity),X5),true,ifeq(true,true,sum(additive_identity,X5,X4),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f643,f9116]) ).
fof(f9832,plain,
( spl0_378
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9828,f9114,f9830]) ).
fof(f9830,plain,
( spl0_378
<=> ! [X173,X174] : true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X173),true,ifeq(sum(additive_identity,multiplicative_identity,X174),true,product(X174,add(multiplicative_identity,multiplicative_identity),X173),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f9828,plain,
( ! [X174,X173] : true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X173),true,ifeq(sum(additive_identity,multiplicative_identity,X174),true,product(X174,add(multiplicative_identity,multiplicative_identity),X173),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9656,f2]) ).
fof(f9656,plain,
( ! [X174,X173] : true = ifeq(true,true,ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X173),true,ifeq(sum(additive_identity,multiplicative_identity,X174),true,product(X174,add(multiplicative_identity,multiplicative_identity),X173),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f851,f9116]) ).
fof(f851,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(sum(X2,X0,X3),true,ifeq(sum(X1,multiplicative_identity,X4),true,product(X4,X0,X3),true),true),true),
inference(forward_demodulation,[],[f801,f2]) ).
fof(f801,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(product(X1,X0,X2),true,ifeq(sum(X2,X0,X3),true,ifeq(sum(X1,multiplicative_identity,X4),true,product(X4,X0,X3),true),true),true),true),
inference(superposition,[],[f14,f9]) ).
fof(f9827,plain,
( spl0_377
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9823,f9114,f9825]) ).
fof(f9825,plain,
( spl0_377
<=> ! [X21] : true = ifeq(sum(X21,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f9823,plain,
( ! [X21] : true = ifeq(sum(X21,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9588,f2]) ).
fof(f9588,plain,
( ! [X21] : true = ifeq(true,true,ifeq(sum(X21,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true),true)
| ~ spl0_289 ),
inference(superposition,[],[f1491,f9116]) ).
fof(f1491,plain,
! [X2,X3,X4] : true = ifeq(product(X3,X4,X3),true,ifeq(sum(X2,multiplicative_identity,X4),true,true,true),true),
inference(forward_demodulation,[],[f1444,f2]) ).
fof(f1444,plain,
! [X2,X3,X4] : true = ifeq(product(X3,X4,X3),true,ifeq(true,true,ifeq(sum(X2,multiplicative_identity,X4),true,true,true),true),true),
inference(superposition,[],[f1029,f10]) ).
fof(f1029,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X2,X1),true,ifeq(product(X0,X3,X0),true,ifeq(sum(X0,X3,X2),true,true,true),true),true),
inference(superposition,[],[f16,f5]) ).
fof(f9822,plain,
( spl0_376
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9818,f9114,f9820]) ).
fof(f9820,plain,
( spl0_376
<=> ! [X157,X158] : true = ifeq(product(X157,add(multiplicative_identity,multiplicative_identity),X158),true,ifeq(sum(additive_identity,multiplicative_identity,X157),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X158),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f9818,plain,
( ! [X158,X157] : true = ifeq(product(X157,add(multiplicative_identity,multiplicative_identity),X158),true,ifeq(sum(additive_identity,multiplicative_identity,X157),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X158),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9648,f2]) ).
fof(f9648,plain,
( ! [X158,X157] : true = ifeq(product(X157,add(multiplicative_identity,multiplicative_identity),X158),true,ifeq(true,true,ifeq(sum(additive_identity,multiplicative_identity,X157),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X158),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f612,f9116]) ).
fof(f9817,plain,
( spl0_375
| ~ spl0_43
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9812,f9114,f1457,f9814]) ).
fof(f9814,plain,
( spl0_375
<=> true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f1457,plain,
( spl0_43
<=> ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(X5,X6,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f9812,plain,
( true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,true,true)
| ~ spl0_43
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9587,f2]) ).
fof(f9587,plain,
( true = ifeq(true,true,ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,true,true),true)
| ~ spl0_43
| ~ spl0_289 ),
inference(superposition,[],[f1458,f9116]) ).
fof(f1458,plain,
( ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(X5,X6,multiplicative_identity),true,true,true),true)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f9811,plain,
( spl0_374
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9807,f9114,f9809]) ).
fof(f9809,plain,
( spl0_374
<=> ! [X123,X124] : true = ifeq(product(additive_identity,X123,X124),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X123,multiplicative_identity),true,sum(additive_identity,X124,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f9807,plain,
( ! [X124,X123] : true = ifeq(product(additive_identity,X123,X124),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X123,multiplicative_identity),true,sum(additive_identity,X124,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9631,f2]) ).
fof(f9631,plain,
( ! [X124,X123] : true = ifeq(product(additive_identity,X123,X124),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X123,multiplicative_identity),true,sum(additive_identity,X124,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f267,f9116]) ).
fof(f9806,plain,
( spl0_373
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9802,f9114,f9804]) ).
fof(f9804,plain,
( spl0_373
<=> ! [X116,X115] : true = ifeq(product(additive_identity,X115,X116),true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X115),true,sum(additive_identity,additive_identity,X116),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f9802,plain,
( ! [X116,X115] : true = ifeq(product(additive_identity,X115,X116),true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X115),true,sum(additive_identity,additive_identity,X116),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9627,f2]) ).
fof(f9627,plain,
( ! [X116,X115] : true = ifeq(product(additive_identity,X115,X116),true,ifeq(true,true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X115),true,sum(additive_identity,additive_identity,X116),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f242,f9116]) ).
fof(f9801,plain,
( spl0_372
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9609,f9114,f9799]) ).
fof(f9799,plain,
( spl0_372
<=> ! [X75,X77,X78,X76] : true = ifeq(product(X75,X76,X77),true,ifeq(sum(X78,X77,additive_identity),true,ifeq(sum(X78,X76,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X78,X75,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f9609,plain,
( ! [X78,X76,X77,X75] : true = ifeq(product(X75,X76,X77),true,ifeq(sum(X78,X77,additive_identity),true,ifeq(sum(X78,X76,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X78,X75,additive_identity),true,true,true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f15,f9116]) ).
fof(f9797,plain,
( spl0_371
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9793,f9114,f9795]) ).
fof(f9795,plain,
( spl0_371
<=> ! [X163,X164] : true = ifeq(product(X163,add(multiplicative_identity,multiplicative_identity),X164),true,ifeq(sum(X163,additive_identity,multiplicative_identity),true,sum(X164,additive_identity,add(multiplicative_identity,multiplicative_identity)),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f9793,plain,
( ! [X163,X164] : true = ifeq(product(X163,add(multiplicative_identity,multiplicative_identity),X164),true,ifeq(sum(X163,additive_identity,multiplicative_identity),true,sum(X164,additive_identity,add(multiplicative_identity,multiplicative_identity)),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9651,f2]) ).
fof(f9651,plain,
( ! [X163,X164] : true = ifeq(true,true,ifeq(product(X163,add(multiplicative_identity,multiplicative_identity),X164),true,ifeq(sum(X163,additive_identity,multiplicative_identity),true,sum(X164,additive_identity,add(multiplicative_identity,multiplicative_identity)),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f640,f9116]) ).
fof(f9792,plain,
( spl0_370
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9658,f9114,f9790]) ).
fof(f9658,plain,
( ! [X178,X177] : true = ifeq(product(X177,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(product(X178,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X178,X177,additive_identity),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f857,f9116]) ).
fof(f857,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X3,X2,additive_identity),true,ifeq(sum(X3,X1,X4),true,product(X4,X2,X0),true),true),true),
inference(forward_demodulation,[],[f813,f2]) ).
fof(f813,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X3,X2,additive_identity),true,ifeq(true,true,ifeq(sum(X3,X1,X4),true,product(X4,X2,X0),true),true),true),true),
inference(superposition,[],[f14,f7]) ).
fof(f9787,plain,
( spl0_369
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9783,f9114,f9785]) ).
fof(f9785,plain,
( spl0_369
<=> ! [X29,X27,X28,X30] : true = ifeq(product(additive_identity,X27,X28),true,ifeq(product(additive_identity,X29,X30),true,ifeq(sum(X29,add(multiplicative_identity,multiplicative_identity),X27),true,sum(X30,additive_identity,X28),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f9783,plain,
( ! [X28,X29,X27,X30] : true = ifeq(product(additive_identity,X27,X28),true,ifeq(product(additive_identity,X29,X30),true,ifeq(sum(X29,add(multiplicative_identity,multiplicative_identity),X27),true,sum(X30,additive_identity,X28),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9597,f2]) ).
fof(f9597,plain,
( ! [X28,X29,X27,X30] : true = ifeq(product(additive_identity,X27,X28),true,ifeq(true,true,ifeq(product(additive_identity,X29,X30),true,ifeq(sum(X29,add(multiplicative_identity,multiplicative_identity),X27),true,sum(X30,additive_identity,X28),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f11,f9116]) ).
fof(f9782,plain,
( spl0_368
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9778,f9114,f9780]) ).
fof(f9780,plain,
( spl0_368
<=> ! [X105,X106] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X105),true,ifeq(product(additive_identity,additive_identity,X106),true,sum(X106,additive_identity,X105),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f9778,plain,
( ! [X106,X105] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X105),true,ifeq(product(additive_identity,additive_identity,X106),true,sum(X106,additive_identity,X105),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9622,f2]) ).
fof(f9622,plain,
( ! [X106,X105] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X105),true,ifeq(true,true,ifeq(product(additive_identity,additive_identity,X106),true,sum(X106,additive_identity,X105),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f232,f9116]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X1,X0,X3),true,ifeq(product(X1,additive_identity,X4),true,sum(X4,X3,X2),true),true),true),
inference(forward_demodulation,[],[f215,f2]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X1,X0,X3),true,ifeq(product(X1,additive_identity,X4),true,ifeq(true,true,sum(X4,X3,X2),true),true),true),true),
inference(superposition,[],[f11,f7]) ).
fof(f9775,plain,
( spl0_367
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9661,f9114,f9773]) ).
fof(f9773,plain,
( spl0_367
<=> ! [X183,X184] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X183),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X184),true,ifeq(sum(X184,X183,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f9661,plain,
( ! [X184,X183] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X183),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X184),true,ifeq(sum(X184,X183,additive_identity),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f864,f9116]) ).
fof(f9770,plain,
( spl0_366
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9766,f9114,f9768]) ).
fof(f9768,plain,
( spl0_366
<=> ! [X179,X180] : true = ifeq(product(X179,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X179,additive_identity,X180),true,product(X180,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f9766,plain,
( ! [X180,X179] : true = ifeq(product(X179,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X179,additive_identity,X180),true,product(X180,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9659,f2]) ).
fof(f9659,plain,
( ! [X180,X179] : true = ifeq(true,true,ifeq(product(X179,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X179,additive_identity,X180),true,product(X180,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f857,f9116]) ).
fof(f9765,plain,
( spl0_365
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9761,f9114,f9763]) ).
fof(f9763,plain,
( spl0_365
<=> ! [X82,X81,X80,X79] : true = ifeq(product(X79,X80,X81),true,ifeq(sum(X82,add(multiplicative_identity,multiplicative_identity),X80),true,ifeq(sum(X82,additive_identity,X79),true,sum(X82,additive_identity,X81),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f9761,plain,
( ! [X82,X80,X81,X79] : true = ifeq(product(X79,X80,X81),true,ifeq(sum(X82,add(multiplicative_identity,multiplicative_identity),X80),true,ifeq(sum(X82,additive_identity,X79),true,sum(X82,additive_identity,X81),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9610,f2]) ).
fof(f9610,plain,
( ! [X82,X80,X81,X79] : true = ifeq(product(X79,X80,X81),true,ifeq(true,true,ifeq(sum(X82,add(multiplicative_identity,multiplicative_identity),X80),true,ifeq(sum(X82,additive_identity,X79),true,sum(X82,additive_identity,X81),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f16,f9116]) ).
fof(f9760,plain,
( spl0_364
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9756,f9114,f9758]) ).
fof(f9758,plain,
( spl0_364
<=> ! [X144,X143] : true = ifeq(product(additive_identity,X143,additive_identity),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X143,X144),true,product(additive_identity,X144,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f9756,plain,
( ! [X143,X144] : true = ifeq(product(additive_identity,X143,additive_identity),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X143,X144),true,product(additive_identity,X144,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9641,f2]) ).
fof(f9641,plain,
( ! [X143,X144] : true = ifeq(product(additive_identity,X143,additive_identity),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X143,X144),true,product(additive_identity,X144,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f323,f9116]) ).
fof(f9754,plain,
( spl0_363
| ~ spl0_109
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9750,f9114,f2725,f9752]) ).
fof(f9752,plain,
( spl0_363
<=> ! [X176,X175] : true = ifeq(product(X175,add(multiplicative_identity,multiplicative_identity),X176),true,ifeq(sum(X176,add(multiplicative_identity,multiplicative_identity),additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f2725,plain,
( spl0_109
<=> ! [X14] : true = ifeq(sum(X14,multiplicative_identity,additive_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f9750,plain,
( ! [X176,X175] : true = ifeq(product(X175,add(multiplicative_identity,multiplicative_identity),X176),true,ifeq(sum(X176,add(multiplicative_identity,multiplicative_identity),additive_identity),true,true,true),true)
| ~ spl0_109
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9657,f2726]) ).
fof(f2726,plain,
( ! [X14] : true = ifeq(sum(X14,multiplicative_identity,additive_identity),true,true,true)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f2725]) ).
fof(f9657,plain,
( ! [X176,X175] : true = ifeq(product(X175,add(multiplicative_identity,multiplicative_identity),X176),true,ifeq(sum(X176,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X175,multiplicative_identity,additive_identity),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f851,f9116]) ).
fof(f9749,plain,
( spl0_362
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9745,f9114,f9747]) ).
fof(f9747,plain,
( spl0_362
<=> ! [X102,X100,X99,X101] : true = ifeq(product(X99,X100,X101),true,ifeq(sum(X100,X102,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X99,X102,additive_identity),true,sum(X101,X102,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f9745,plain,
( ! [X101,X99,X102,X100] : true = ifeq(product(X99,X100,X101),true,ifeq(sum(X100,X102,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X99,X102,additive_identity),true,sum(X101,X102,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9615,f2]) ).
fof(f9615,plain,
( ! [X101,X99,X102,X100] : true = ifeq(true,true,ifeq(product(X99,X100,X101),true,ifeq(sum(X100,X102,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X99,X102,additive_identity),true,sum(X101,X102,additive_identity),true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f18,f9116]) ).
fof(f9744,plain,
( spl0_361
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9740,f9114,f9742]) ).
fof(f9742,plain,
( spl0_361
<=> ! [X156,X155] : true = ifeq(product(X155,add(multiplicative_identity,multiplicative_identity),X156),true,ifeq(sum(multiplicative_identity,X155,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),X156,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f9740,plain,
( ! [X155,X156] : true = ifeq(product(X155,add(multiplicative_identity,multiplicative_identity),X156),true,ifeq(sum(multiplicative_identity,X155,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),X156,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9647,f2]) ).
fof(f9647,plain,
( ! [X155,X156] : true = ifeq(true,true,ifeq(product(X155,add(multiplicative_identity,multiplicative_identity),X156),true,ifeq(sum(multiplicative_identity,X155,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),X156,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f611,f9116]) ).
fof(f9738,plain,
( spl0_360
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9734,f9114,f9736]) ).
fof(f9736,plain,
( spl0_360
<=> ! [X107,X108] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X107),true,ifeq(product(additive_identity,additive_identity,X108),true,sum(X108,X107,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f9734,plain,
( ! [X108,X107] : true = ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X107),true,ifeq(product(additive_identity,additive_identity,X108),true,sum(X108,X107,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9623,f2]) ).
fof(f9623,plain,
( ! [X108,X107] : true = ifeq(true,true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X107),true,ifeq(product(additive_identity,additive_identity,X108),true,sum(X108,X107,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f232,f9116]) ).
fof(f9733,plain,
( spl0_359
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9729,f9114,f9731]) ).
fof(f9731,plain,
( spl0_359
<=> ! [X130,X129] : true = ifeq(sum(additive_identity,additive_identity,X129),true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X130),true,product(additive_identity,X130,X129),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f9729,plain,
( ! [X130,X129] : true = ifeq(sum(additive_identity,additive_identity,X129),true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X130),true,product(additive_identity,X130,X129),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9634,f2]) ).
fof(f9634,plain,
( ! [X130,X129] : true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,X129),true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X130),true,product(additive_identity,X130,X129),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f312,f9116]) ).
fof(f9728,plain,
( spl0_358
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9724,f9114,f9726]) ).
fof(f9726,plain,
( spl0_358
<=> ! [X128,X127] : true = ifeq(product(additive_identity,additive_identity,X127),true,ifeq(sum(additive_identity,X127,X128),true,product(additive_identity,add(multiplicative_identity,multiplicative_identity),X128),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f9724,plain,
( ! [X127,X128] : true = ifeq(product(additive_identity,additive_identity,X127),true,ifeq(sum(additive_identity,X127,X128),true,product(additive_identity,add(multiplicative_identity,multiplicative_identity),X128),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9633,f2]) ).
fof(f9633,plain,
( ! [X127,X128] : true = ifeq(product(additive_identity,additive_identity,X127),true,ifeq(true,true,ifeq(sum(additive_identity,X127,X128),true,product(additive_identity,add(multiplicative_identity,multiplicative_identity),X128),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f310,f9116]) ).
fof(f9723,plain,
( spl0_357
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9719,f9114,f9721]) ).
fof(f9721,plain,
( spl0_357
<=> ! [X119,X120] : true = ifeq(product(additive_identity,additive_identity,X119),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X120),true,sum(X120,X119,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f9719,plain,
( ! [X120,X119] : true = ifeq(product(additive_identity,additive_identity,X119),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X120),true,sum(X120,X119,additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9629,f2]) ).
fof(f9629,plain,
( ! [X120,X119] : true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,X119),true,ifeq(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X120),true,sum(X120,X119,additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f262,f9116]) ).
fof(f9715,plain,
( spl0_356
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9637,f9114,f9713]) ).
fof(f9713,plain,
( spl0_356
<=> ! [X136,X135] : true = ifeq(product(additive_identity,X135,X136),true,ifeq(sum(X136,additive_identity,additive_identity),true,ifeq(sum(X135,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f9637,plain,
( ! [X136,X135] : true = ifeq(product(additive_identity,X135,X136),true,ifeq(sum(X136,additive_identity,additive_identity),true,ifeq(sum(X135,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f313,f9116]) ).
fof(f313,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X5,X6,X7),true,ifeq(sum(X7,X5,X8),true,ifeq(sum(X6,multiplicative_identity,X9),true,product(X5,X9,X8),true),true),true),
inference(forward_demodulation,[],[f275,f2]) ).
fof(f275,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(true,true,ifeq(product(X5,X6,X7),true,ifeq(sum(X7,X5,X8),true,ifeq(sum(X6,multiplicative_identity,X9),true,product(X5,X9,X8),true),true),true),true),
inference(superposition,[],[f12,f10]) ).
fof(f9711,plain,
( spl0_355
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9707,f9114,f9709]) ).
fof(f9709,plain,
( spl0_355
<=> ! [X22] : true = ifeq(sum(multiplicative_identity,X22,add(multiplicative_identity,multiplicative_identity)),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f9707,plain,
( ! [X22] : true = ifeq(sum(multiplicative_identity,X22,add(multiplicative_identity,multiplicative_identity)),true,true,true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9591,f2]) ).
fof(f9591,plain,
( ! [X22] : true = ifeq(true,true,ifeq(sum(multiplicative_identity,X22,add(multiplicative_identity,multiplicative_identity)),true,true,true),true)
| ~ spl0_289 ),
inference(superposition,[],[f3109,f9116]) ).
fof(f3109,plain,
! [X2,X3,X4] : true = ifeq(product(X3,X4,X3),true,ifeq(sum(multiplicative_identity,X2,X4),true,true,true),true),
inference(forward_demodulation,[],[f3083,f2]) ).
fof(f3083,plain,
! [X2,X3,X4] : true = ifeq(product(X3,X4,X3),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X2,X4),true,true,true),true),true),
inference(superposition,[],[f2294,f10]) ).
fof(f9706,plain,
( spl0_354
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9613,f9114,f9704]) ).
fof(f9704,plain,
( spl0_354
<=> ! [X94,X93,X91,X92] : true = ifeq(product(X91,X92,X93),true,ifeq(sum(X93,X94,additive_identity),true,ifeq(sum(X92,X94,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X91,X94,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f9613,plain,
( ! [X91,X94,X92,X93] : true = ifeq(product(X91,X92,X93),true,ifeq(sum(X93,X94,additive_identity),true,ifeq(sum(X92,X94,add(multiplicative_identity,multiplicative_identity)),true,ifeq(sum(X91,X94,additive_identity),true,true,true),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f17,f9116]) ).
fof(f9702,plain,
( spl0_353
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9698,f9114,f9700]) ).
fof(f9700,plain,
( spl0_353
<=> ! [X20,X18,X19] : true = ifeq(product(additive_identity,X18,X19),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X18,X20),true,product(additive_identity,X20,X19),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f9698,plain,
( ! [X18,X19,X20] : true = ifeq(product(additive_identity,X18,X19),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X18,X20),true,product(additive_identity,X20,X19),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9586,f2]) ).
fof(f9586,plain,
( ! [X18,X19,X20] : true = ifeq(product(additive_identity,X18,X19),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X18,X20),true,product(additive_identity,X20,X19),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f320,f9116]) ).
fof(f9697,plain,
( spl0_352
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9693,f9114,f9695]) ).
fof(f9695,plain,
( spl0_352
<=> ! [X9,X11,X10] : true = ifeq(product(X9,add(multiplicative_identity,multiplicative_identity),X10),true,ifeq(sum(additive_identity,X9,X11),true,product(X11,add(multiplicative_identity,multiplicative_identity),X10),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f9693,plain,
( ! [X10,X11,X9] : true = ifeq(product(X9,add(multiplicative_identity,multiplicative_identity),X10),true,ifeq(sum(additive_identity,X9,X11),true,product(X11,add(multiplicative_identity,multiplicative_identity),X10),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9583,f2]) ).
fof(f9583,plain,
( ! [X10,X11,X9] : true = ifeq(product(X9,add(multiplicative_identity,multiplicative_identity),X10),true,ifeq(true,true,ifeq(sum(additive_identity,X9,X11),true,product(X11,add(multiplicative_identity,multiplicative_identity),X10),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f857,f9116]) ).
fof(f9692,plain,
( spl0_351
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9688,f9114,f9690]) ).
fof(f9690,plain,
( spl0_351
<=> ! [X172,X171] : true = ifeq(product(X171,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(additive_identity,X171,X172),true,product(X172,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f9688,plain,
( ! [X171,X172] : true = ifeq(product(X171,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(additive_identity,X171,X172),true,product(X172,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9655,f2]) ).
fof(f9655,plain,
( ! [X171,X172] : true = ifeq(product(X171,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(true,true,ifeq(sum(additive_identity,X171,X172),true,product(X172,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f850,f9116]) ).
fof(f9686,plain,
( spl0_350
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9638,f9114,f9684]) ).
fof(f9638,plain,
( ! [X138,X137] : true = ifeq(product(additive_identity,X137,additive_identity),true,ifeq(product(additive_identity,X138,additive_identity),true,ifeq(sum(X138,X137,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f320,f9116]) ).
fof(f9682,plain,
( spl0_349
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9678,f9114,f9680]) ).
fof(f9680,plain,
( spl0_349
<=> ! [X13,X12,X14] : true = ifeq(product(X12,add(multiplicative_identity,multiplicative_identity),X13),true,ifeq(sum(X12,additive_identity,X14),true,product(X14,add(multiplicative_identity,multiplicative_identity),X13),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f9678,plain,
( ! [X14,X12,X13] : true = ifeq(product(X12,add(multiplicative_identity,multiplicative_identity),X13),true,ifeq(sum(X12,additive_identity,X14),true,product(X14,add(multiplicative_identity,multiplicative_identity),X13),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9584,f2]) ).
fof(f9584,plain,
( ! [X14,X12,X13] : true = ifeq(true,true,ifeq(product(X12,add(multiplicative_identity,multiplicative_identity),X13),true,ifeq(sum(X12,additive_identity,X14),true,product(X14,add(multiplicative_identity,multiplicative_identity),X13),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f850,f9116]) ).
fof(f9677,plain,
( spl0_348
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9673,f9114,f9675]) ).
fof(f9675,plain,
( spl0_348
<=> ! [X134,X133] : true = ifeq(sum(additive_identity,additive_identity,X133),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X134),true,product(additive_identity,X134,X133),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f9673,plain,
( ! [X133,X134] : true = ifeq(sum(additive_identity,additive_identity,X133),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X134),true,product(additive_identity,X134,X133),true),true)
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9636,f2]) ).
fof(f9636,plain,
( ! [X133,X134] : true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,X133),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X134),true,product(additive_identity,X134,X133),true),true),true)
| ~ spl0_289 ),
inference(superposition,[],[f313,f9116]) ).
fof(f9672,plain,
( spl0_347
| ~ spl0_113
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9667,f9114,f2750,f9669]) ).
fof(f9669,plain,
( spl0_347
<=> true = ifeq(sum(additive_identity,additive_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f2750,plain,
( spl0_113
<=> ! [X9,X8] : true = ifeq(product(X8,X9,X8),true,ifeq(sum(additive_identity,additive_identity,X9),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f9667,plain,
( true = ifeq(sum(additive_identity,additive_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true)
| ~ spl0_113
| ~ spl0_289 ),
inference(forward_demodulation,[],[f9590,f2]) ).
fof(f9590,plain,
( true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true),true)
| ~ spl0_113
| ~ spl0_289 ),
inference(superposition,[],[f2751,f9116]) ).
fof(f2751,plain,
( ! [X8,X9] : true = ifeq(product(X8,X9,X8),true,ifeq(sum(additive_identity,additive_identity,X9),true,true,true),true)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f9579,plain,
( spl0_346
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9575,f9109,f9577]) ).
fof(f9577,plain,
( spl0_346
<=> ! [X158,X159] : true = ifeq(product(X158,additive_identity,X159),true,ifeq(sum(multiplicative_identity,X158,add(multiplicative_identity,multiplicative_identity)),true,sum(additive_identity,X159,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f9109,plain,
( spl0_288
<=> true = product(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f9575,plain,
( ! [X158,X159] : true = ifeq(product(X158,additive_identity,X159),true,ifeq(sum(multiplicative_identity,X158,add(multiplicative_identity,multiplicative_identity)),true,sum(additive_identity,X159,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9250,f2]) ).
fof(f9250,plain,
( ! [X158,X159] : true = ifeq(true,true,ifeq(product(X158,additive_identity,X159),true,ifeq(sum(multiplicative_identity,X158,add(multiplicative_identity,multiplicative_identity)),true,sum(additive_identity,X159,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f611,f9111]) ).
fof(f9111,plain,
( true = product(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity)
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f9109]) ).
fof(f9569,plain,
( spl0_345
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9565,f9109,f9567]) ).
fof(f9567,plain,
( spl0_345
<=> ! [X18,X17,X19] : true = ifeq(product(X17,additive_identity,X18),true,ifeq(sum(X17,add(multiplicative_identity,multiplicative_identity),X19),true,product(X19,additive_identity,X18),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f9565,plain,
( ! [X18,X19,X17] : true = ifeq(product(X17,additive_identity,X18),true,ifeq(sum(X17,add(multiplicative_identity,multiplicative_identity),X19),true,product(X19,additive_identity,X18),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9194,f2]) ).
fof(f9194,plain,
( ! [X18,X19,X17] : true = ifeq(true,true,ifeq(product(X17,additive_identity,X18),true,ifeq(sum(X17,add(multiplicative_identity,multiplicative_identity),X19),true,product(X19,additive_identity,X18),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f850,f9111]) ).
fof(f9564,plain,
( spl0_344
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9560,f9109,f9562]) ).
fof(f9562,plain,
( spl0_344
<=> ! [X125,X124] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X124,X125),true,ifeq(sum(X124,additive_identity,multiplicative_identity),true,sum(X125,additive_identity,add(multiplicative_identity,multiplicative_identity)),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f9560,plain,
( ! [X124,X125] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X124,X125),true,ifeq(sum(X124,additive_identity,multiplicative_identity),true,sum(X125,additive_identity,add(multiplicative_identity,multiplicative_identity)),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9233,f2]) ).
fof(f9233,plain,
( ! [X124,X125] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X124,X125),true,ifeq(sum(X124,additive_identity,multiplicative_identity),true,sum(X125,additive_identity,add(multiplicative_identity,multiplicative_identity)),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f267,f9111]) ).
fof(f9558,plain,
( spl0_343
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9554,f9109,f9556]) ).
fof(f9556,plain,
( spl0_343
<=> ! [X157,X156] : true = ifeq(product(X156,additive_identity,X157),true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X156),true,sum(additive_identity,additive_identity,X157),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f9554,plain,
( ! [X156,X157] : true = ifeq(product(X156,additive_identity,X157),true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X156),true,sum(additive_identity,additive_identity,X157),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9249,f2]) ).
fof(f9249,plain,
( ! [X156,X157] : true = ifeq(product(X156,additive_identity,X157),true,ifeq(true,true,ifeq(sum(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),X156),true,sum(additive_identity,additive_identity,X157),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f611,f9111]) ).
fof(f9550,plain,
( spl0_342
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9546,f9109,f9548]) ).
fof(f9548,plain,
( spl0_342
<=> ! [X25,X24,X23] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X23,X24),true,ifeq(sum(additive_identity,X23,X25),true,product(add(multiplicative_identity,multiplicative_identity),X25,X24),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f9546,plain,
( ! [X24,X25,X23] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X23,X24),true,ifeq(sum(additive_identity,X23,X25),true,product(add(multiplicative_identity,multiplicative_identity),X25,X24),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9196,f2]) ).
fof(f9196,plain,
( ! [X24,X25,X23] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X23,X24),true,ifeq(true,true,ifeq(sum(additive_identity,X23,X25),true,product(add(multiplicative_identity,multiplicative_identity),X25,X24),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f320,f9111]) ).
fof(f9544,plain,
( spl0_341
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9540,f9109,f9542]) ).
fof(f9542,plain,
( spl0_341
<=> ! [X155,X154] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X154),true,ifeq(product(additive_identity,additive_identity,X155),true,sum(additive_identity,X155,X154),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f9540,plain,
( ! [X155,X154] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X154),true,ifeq(product(additive_identity,additive_identity,X155),true,sum(additive_identity,X155,X154),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9248,f2]) ).
fof(f9248,plain,
( ! [X155,X154] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X154),true,ifeq(product(additive_identity,additive_identity,X155),true,ifeq(true,true,sum(additive_identity,X155,X154),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f606,f9111]) ).
fof(f9539,plain,
( spl0_301
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9245,f9109,f9328]) ).
fof(f9328,plain,
( spl0_301
<=> ! [X128,X129] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X128),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X129),true,ifeq(sum(X129,X128,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f9245,plain,
( ! [X148,X149] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X148),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X149),true,ifeq(sum(X149,X148,additive_identity),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f348,f9111]) ).
fof(f9536,plain,
( spl0_340
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9532,f9109,f9534]) ).
fof(f9534,plain,
( spl0_340
<=> ! [X61,X60,X59,X58] : true = ifeq(product(X58,additive_identity,X59),true,ifeq(product(X60,additive_identity,X61),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X60,X58),true,sum(additive_identity,X61,X59),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f9532,plain,
( ! [X58,X59,X60,X61] : true = ifeq(product(X58,additive_identity,X59),true,ifeq(product(X60,additive_identity,X61),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X60,X58),true,sum(additive_identity,X61,X59),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9207,f2]) ).
fof(f9207,plain,
( ! [X58,X59,X60,X61] : true = ifeq(product(X58,additive_identity,X59),true,ifeq(product(X60,additive_identity,X61),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X60,X58),true,sum(additive_identity,X61,X59),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f13,f9111]) ).
fof(f9531,plain,
( spl0_339
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9212,f9109,f9529]) ).
fof(f9529,plain,
( spl0_339
<=> ! [X81,X78,X80,X79] : true = ifeq(product(X78,X79,X80),true,ifeq(sum(X81,X80,additive_identity),true,ifeq(sum(X81,X79,additive_identity),true,ifeq(sum(X81,X78,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f9212,plain,
( ! [X80,X78,X81,X79] : true = ifeq(product(X78,X79,X80),true,ifeq(sum(X81,X80,additive_identity),true,ifeq(sum(X81,X79,additive_identity),true,ifeq(sum(X81,X78,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f15,f9111]) ).
fof(f9526,plain,
( spl0_338
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9208,f9109,f9524]) ).
fof(f9524,plain,
( spl0_338
<=> ! [X62,X64,X63,X65] : true = ifeq(product(X62,additive_identity,X63),true,ifeq(product(X64,additive_identity,X65),true,ifeq(sum(X65,X63,additive_identity),true,ifeq(sum(X64,X62,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f9208,plain,
( ! [X65,X62,X63,X64] : true = ifeq(product(X62,additive_identity,X63),true,ifeq(product(X64,additive_identity,X65),true,ifeq(sum(X65,X63,additive_identity),true,ifeq(sum(X64,X62,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f14,f9111]) ).
fof(f9522,plain,
( spl0_337
| ~ spl0_151
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9518,f9109,f4104,f9520]) ).
fof(f9520,plain,
( spl0_337
<=> ! [X134,X135] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X134,X135),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X135,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f4104,plain,
( spl0_151
<=> ! [X3] : true = ifeq(sum(multiplicative_identity,X3,additive_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f9518,plain,
( ! [X134,X135] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X134,X135),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X135,additive_identity),true,true,true),true)
| ~ spl0_151
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9238,f4105]) ).
fof(f4105,plain,
( ! [X3] : true = ifeq(sum(multiplicative_identity,X3,additive_identity),true,true,true)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f4104]) ).
fof(f9238,plain,
( ! [X134,X135] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X134,X135),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X135,additive_identity),true,ifeq(sum(multiplicative_identity,X134,additive_identity),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f312,f9111]) ).
fof(f9517,plain,
( spl0_336
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9513,f9109,f9515]) ).
fof(f9515,plain,
( spl0_336
<=> ! [X6,X8,X7] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X6,X7),true,ifeq(sum(X7,additive_identity,X8),true,product(add(multiplicative_identity,multiplicative_identity),X6,X8),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f9513,plain,
( ! [X8,X6,X7] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X6,X7),true,ifeq(sum(X7,additive_identity,X8),true,product(add(multiplicative_identity,multiplicative_identity),X6,X8),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9188,f2]) ).
fof(f9188,plain,
( ! [X8,X6,X7] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X6,X7),true,ifeq(sum(X7,additive_identity,X8),true,product(add(multiplicative_identity,multiplicative_identity),X6,X8),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f310,f9111]) ).
fof(f9511,plain,
( spl0_335
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9507,f9109,f9509]) ).
fof(f9509,plain,
( spl0_335
<=> ! [X176,X177] : true = ifeq(sum(additive_identity,additive_identity,X176),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X177),true,product(X177,additive_identity,X176),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f9507,plain,
( ! [X176,X177] : true = ifeq(sum(additive_identity,additive_identity,X176),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X177),true,product(X177,additive_identity,X176),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9259,f2]) ).
fof(f9259,plain,
( ! [X176,X177] : true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,X176),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X177),true,product(X177,additive_identity,X176),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f851,f9111]) ).
fof(f9506,plain,
( spl0_334
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9502,f9109,f9504]) ).
fof(f9504,plain,
( spl0_334
<=> ! [X174,X175] : true = ifeq(product(X174,additive_identity,additive_identity),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X174,X175),true,product(X175,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f9502,plain,
( ! [X174,X175] : true = ifeq(product(X174,additive_identity,additive_identity),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X174,X175),true,product(X175,additive_identity,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9258,f2]) ).
fof(f9258,plain,
( ! [X174,X175] : true = ifeq(product(X174,additive_identity,additive_identity),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X174,X175),true,product(X175,additive_identity,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f850,f9111]) ).
fof(f9501,plain,
( spl0_333
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9497,f9109,f9499]) ).
fof(f9499,plain,
( spl0_333
<=> ! [X112,X113] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X112,X113),true,ifeq(sum(X112,multiplicative_identity,additive_identity),true,sum(X113,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f9497,plain,
( ! [X113,X112] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X112,X113),true,ifeq(sum(X112,multiplicative_identity,additive_identity),true,sum(X113,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9227,f2]) ).
fof(f9227,plain,
( ! [X113,X112] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X112,X113),true,ifeq(sum(X112,multiplicative_identity,additive_identity),true,sum(X113,add(multiplicative_identity,multiplicative_identity),additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f241,f9111]) ).
fof(f9496,plain,
( spl0_332
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9492,f9109,f9494]) ).
fof(f9494,plain,
( spl0_332
<=> ! [X88,X87,X89,X86] : true = ifeq(product(X86,X87,X88),true,ifeq(sum(X89,X87,additive_identity),true,ifeq(sum(X89,X86,add(multiplicative_identity,multiplicative_identity)),true,sum(X89,X88,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f9492,plain,
( ! [X88,X86,X89,X87] : true = ifeq(product(X86,X87,X88),true,ifeq(sum(X89,X87,additive_identity),true,ifeq(sum(X89,X86,add(multiplicative_identity,multiplicative_identity)),true,sum(X89,X88,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9214,f2]) ).
fof(f9214,plain,
( ! [X88,X86,X89,X87] : true = ifeq(true,true,ifeq(product(X86,X87,X88),true,ifeq(sum(X89,X87,additive_identity),true,ifeq(sum(X89,X86,add(multiplicative_identity,multiplicative_identity)),true,sum(X89,X88,additive_identity),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f16,f9111]) ).
fof(f9491,plain,
( spl0_331
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9487,f9109,f9489]) ).
fof(f9489,plain,
( spl0_331
<=> ! [X137,X136] : true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X136),true,ifeq(sum(additive_identity,multiplicative_identity,X137),true,product(add(multiplicative_identity,multiplicative_identity),X137,X136),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f9487,plain,
( ! [X136,X137] : true = ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X136),true,ifeq(sum(additive_identity,multiplicative_identity,X137),true,product(add(multiplicative_identity,multiplicative_identity),X137,X136),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9239,f2]) ).
fof(f9239,plain,
( ! [X136,X137] : true = ifeq(true,true,ifeq(sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X136),true,ifeq(sum(additive_identity,multiplicative_identity,X137),true,product(add(multiplicative_identity,multiplicative_identity),X137,X136),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f313,f9111]) ).
fof(f9485,plain,
( spl0_330
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9481,f9109,f9483]) ).
fof(f9483,plain,
( spl0_330
<=> ! [X171,X170] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X170),true,ifeq(product(additive_identity,additive_identity,X171),true,sum(X171,X170,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f9481,plain,
( ! [X170,X171] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X170),true,ifeq(product(additive_identity,additive_identity,X171),true,sum(X171,X170,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9256,f2]) ).
fof(f9256,plain,
( ! [X170,X171] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X170),true,ifeq(product(additive_identity,additive_identity,X171),true,sum(X171,X170,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f643,f9111]) ).
fof(f9478,plain,
( spl0_329
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9474,f9109,f9476]) ).
fof(f9476,plain,
( spl0_329
<=> ! [X166,X167] : true = ifeq(product(X166,additive_identity,X167),true,ifeq(sum(X166,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,sum(X167,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f9474,plain,
( ! [X166,X167] : true = ifeq(product(X166,additive_identity,X167),true,ifeq(sum(X166,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,sum(X167,additive_identity,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9254,f2]) ).
fof(f9254,plain,
( ! [X166,X167] : true = ifeq(true,true,ifeq(product(X166,additive_identity,X167),true,ifeq(sum(X166,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),true,sum(X167,additive_identity,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f640,f9111]) ).
fof(f9473,plain,
( spl0_292
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9243,f9109,f9280]) ).
fof(f9280,plain,
( spl0_292
<=> ! [X141,X140] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X140,additive_identity),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X141,additive_identity),true,ifeq(sum(X141,X140,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f9243,plain,
( ! [X145,X144] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X144,additive_identity),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X145,additive_identity),true,ifeq(sum(X145,X144,additive_identity),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f323,f9111]) ).
fof(f9472,plain,
( spl0_328
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9468,f9109,f9470]) ).
fof(f9470,plain,
( spl0_328
<=> ! [X169,X168] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X168),true,ifeq(product(additive_identity,additive_identity,X169),true,sum(X169,additive_identity,X168),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f9468,plain,
( ! [X168,X169] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X168),true,ifeq(product(additive_identity,additive_identity,X169),true,sum(X169,additive_identity,X168),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9255,f2]) ).
fof(f9255,plain,
( ! [X168,X169] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X168),true,ifeq(true,true,ifeq(product(additive_identity,additive_identity,X169),true,sum(X169,additive_identity,X168),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f643,f9111]) ).
fof(f9467,plain,
( spl0_327
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9463,f9109,f9465]) ).
fof(f9465,plain,
( spl0_327
<=> ! [X93,X91,X90,X92] : true = ifeq(sum(additive_identity,X90,X91),true,ifeq(sum(additive_identity,X90,X92),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X90,X93),true,product(X93,X92,X91),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f9463,plain,
( ! [X90,X91,X92,X93] : true = ifeq(sum(additive_identity,X90,X91),true,ifeq(sum(additive_identity,X90,X92),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X90,X93),true,product(X93,X92,X91),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9215,f2]) ).
fof(f9215,plain,
( ! [X90,X91,X92,X93] : true = ifeq(true,true,ifeq(sum(additive_identity,X90,X91),true,ifeq(sum(additive_identity,X90,X92),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X90,X93),true,product(X93,X92,X91),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f17,f9111]) ).
fof(f9459,plain,
( spl0_326
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9455,f9109,f9457]) ).
fof(f9457,plain,
( spl0_326
<=> ! [X185,X184] : true = ifeq(product(additive_identity,additive_identity,X184),true,ifeq(sum(additive_identity,X184,X185),true,product(add(multiplicative_identity,multiplicative_identity),additive_identity,X185),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f9455,plain,
( ! [X184,X185] : true = ifeq(product(additive_identity,additive_identity,X184),true,ifeq(sum(additive_identity,X184,X185),true,product(add(multiplicative_identity,multiplicative_identity),additive_identity,X185),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9263,f2]) ).
fof(f9263,plain,
( ! [X184,X185] : true = ifeq(product(additive_identity,additive_identity,X184),true,ifeq(true,true,ifeq(sum(additive_identity,X184,X185),true,product(add(multiplicative_identity,multiplicative_identity),additive_identity,X185),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f864,f9111]) ).
fof(f9454,plain,
( spl0_325
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9450,f9109,f9452]) ).
fof(f9452,plain,
( spl0_325
<=> ! [X75,X74,X77,X76] : true = ifeq(sum(X74,additive_identity,X75),true,ifeq(sum(X74,additive_identity,X76),true,ifeq(sum(X74,add(multiplicative_identity,multiplicative_identity),X77),true,product(X77,X76,X75),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f9450,plain,
( ! [X76,X77,X74,X75] : true = ifeq(sum(X74,additive_identity,X75),true,ifeq(sum(X74,additive_identity,X76),true,ifeq(sum(X74,add(multiplicative_identity,multiplicative_identity),X77),true,product(X77,X76,X75),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9211,f2]) ).
fof(f9211,plain,
( ! [X76,X77,X74,X75] : true = ifeq(true,true,ifeq(sum(X74,additive_identity,X75),true,ifeq(sum(X74,additive_identity,X76),true,ifeq(sum(X74,add(multiplicative_identity,multiplicative_identity),X77),true,product(X77,X76,X75),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f15,f9111]) ).
fof(f9449,plain,
( spl0_324
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9445,f9109,f9447]) ).
fof(f9447,plain,
( spl0_324
<=> ! [X162,X163] : true = ifeq(product(X162,additive_identity,X163),true,ifeq(sum(X162,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,sum(X163,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f9445,plain,
( ! [X162,X163] : true = ifeq(product(X162,additive_identity,X163),true,ifeq(sum(X162,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,sum(X163,additive_identity,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9252,f2]) ).
fof(f9252,plain,
( ! [X162,X163] : true = ifeq(true,true,ifeq(product(X162,additive_identity,X163),true,ifeq(sum(X162,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,sum(X163,additive_identity,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f612,f9111]) ).
fof(f9444,plain,
( spl0_323
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9440,f9109,f9442]) ).
fof(f9442,plain,
( spl0_323
<=> ! [X55,X54,X56,X57] : true = ifeq(product(X54,additive_identity,X55),true,ifeq(product(X56,additive_identity,X57),true,ifeq(sum(X56,add(multiplicative_identity,multiplicative_identity),X54),true,sum(X57,additive_identity,X55),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f9440,plain,
( ! [X56,X54,X57,X55] : true = ifeq(product(X54,additive_identity,X55),true,ifeq(product(X56,additive_identity,X57),true,ifeq(sum(X56,add(multiplicative_identity,multiplicative_identity),X54),true,sum(X57,additive_identity,X55),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9206,f2]) ).
fof(f9206,plain,
( ! [X56,X54,X57,X55] : true = ifeq(product(X54,additive_identity,X55),true,ifeq(true,true,ifeq(product(X56,additive_identity,X57),true,ifeq(sum(X56,add(multiplicative_identity,multiplicative_identity),X54),true,sum(X57,additive_identity,X55),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f13,f9111]) ).
fof(f9439,plain,
( spl0_322
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9435,f9109,f9437]) ).
fof(f9437,plain,
( spl0_322
<=> ! [X51,X53,X50,X52] : true = ifeq(product(X50,additive_identity,X51),true,ifeq(product(X52,additive_identity,X53),true,ifeq(sum(X52,X50,add(multiplicative_identity,multiplicative_identity)),true,sum(X53,X51,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f9435,plain,
( ! [X50,X51,X52,X53] : true = ifeq(product(X50,additive_identity,X51),true,ifeq(product(X52,additive_identity,X53),true,ifeq(sum(X52,X50,add(multiplicative_identity,multiplicative_identity)),true,sum(X53,X51,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9205,f2]) ).
fof(f9205,plain,
( ! [X50,X51,X52,X53] : true = ifeq(true,true,ifeq(product(X50,additive_identity,X51),true,ifeq(product(X52,additive_identity,X53),true,ifeq(sum(X52,X50,add(multiplicative_identity,multiplicative_identity)),true,sum(X53,X51,additive_identity),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f13,f9111]) ).
fof(f9434,plain,
( spl0_321
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9216,f9109,f9432]) ).
fof(f9432,plain,
( spl0_321
<=> ! [X95,X97,X94,X96] : true = ifeq(product(X94,X95,X96),true,ifeq(sum(X96,X97,additive_identity),true,ifeq(sum(X95,X97,additive_identity),true,ifeq(sum(X94,X97,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f9216,plain,
( ! [X96,X94,X97,X95] : true = ifeq(product(X94,X95,X96),true,ifeq(sum(X96,X97,additive_identity),true,ifeq(sum(X95,X97,additive_identity),true,ifeq(sum(X94,X97,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f17,f9111]) ).
fof(f9430,plain,
( spl0_294
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9429,f9109,f9293]) ).
fof(f9293,plain,
( spl0_294
<=> ! [X110,X111] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X110),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X111),true,sum(X111,X110,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f9429,plain,
( ! [X122,X123] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X122),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X123),true,sum(X123,X122,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9232,f2]) ).
fof(f9232,plain,
( ! [X122,X123] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X122),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X123),true,sum(X123,X122,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f262,f9111]) ).
fof(f9428,plain,
( spl0_320
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9424,f9109,f9426]) ).
fof(f9426,plain,
( spl0_320
<=> ! [X82,X83,X84,X85] : true = ifeq(product(X82,X83,X84),true,ifeq(sum(X85,additive_identity,X83),true,ifeq(sum(X85,add(multiplicative_identity,multiplicative_identity),X82),true,sum(X85,additive_identity,X84),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f9424,plain,
( ! [X82,X83,X84,X85] : true = ifeq(product(X82,X83,X84),true,ifeq(sum(X85,additive_identity,X83),true,ifeq(sum(X85,add(multiplicative_identity,multiplicative_identity),X82),true,sum(X85,additive_identity,X84),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9213,f2]) ).
fof(f9213,plain,
( ! [X82,X83,X84,X85] : true = ifeq(product(X82,X83,X84),true,ifeq(true,true,ifeq(sum(X85,additive_identity,X83),true,ifeq(sum(X85,add(multiplicative_identity,multiplicative_identity),X82),true,sum(X85,additive_identity,X84),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f16,f9111]) ).
fof(f9423,plain,
( spl0_319
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9419,f9109,f9421]) ).
fof(f9421,plain,
( spl0_319
<=> ! [X114,X115] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X114,X115),true,ifeq(sum(additive_identity,multiplicative_identity,X114),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X115),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f9419,plain,
( ! [X114,X115] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X114,X115),true,ifeq(sum(additive_identity,multiplicative_identity,X114),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X115),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9228,f2]) ).
fof(f9228,plain,
( ! [X114,X115] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X114,X115),true,ifeq(true,true,ifeq(sum(additive_identity,multiplicative_identity,X114),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X115),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f241,f9111]) ).
fof(f9417,plain,
( spl0_318
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9413,f9109,f9415]) ).
fof(f9415,plain,
( spl0_318
<=> ! [X165,X164] : true = ifeq(product(X164,additive_identity,X165),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X164,multiplicative_identity),true,sum(additive_identity,X165,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f9413,plain,
( ! [X164,X165] : true = ifeq(product(X164,additive_identity,X165),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X164,multiplicative_identity),true,sum(additive_identity,X165,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9253,f2]) ).
fof(f9253,plain,
( ! [X164,X165] : true = ifeq(product(X164,additive_identity,X165),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X164,multiplicative_identity),true,sum(additive_identity,X165,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f640,f9111]) ).
fof(f9412,plain,
( spl0_317
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9264,f9109,f9410]) ).
fof(f9410,plain,
( spl0_317
<=> ! [X187,X186] : true = ifeq(product(additive_identity,additive_identity,X186),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X187),true,ifeq(sum(X187,X186,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f9264,plain,
( ! [X186,X187] : true = ifeq(product(additive_identity,additive_identity,X186),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X187),true,ifeq(sum(X187,X186,additive_identity),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f864,f9111]) ).
fof(f9407,plain,
( spl0_316
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9403,f9109,f9405]) ).
fof(f9405,plain,
( spl0_316
<=> ! [X146,X147] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X146,additive_identity),true,ifeq(sum(additive_identity,X146,X147),true,product(add(multiplicative_identity,multiplicative_identity),X147,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f9403,plain,
( ! [X146,X147] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X146,additive_identity),true,ifeq(sum(additive_identity,X146,X147),true,product(add(multiplicative_identity,multiplicative_identity),X147,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9244,f2]) ).
fof(f9244,plain,
( ! [X146,X147] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X146,additive_identity),true,ifeq(true,true,ifeq(sum(additive_identity,X146,X147),true,product(add(multiplicative_identity,multiplicative_identity),X147,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f323,f9111]) ).
fof(f9402,plain,
( spl0_315
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9398,f9109,f9400]) ).
fof(f9400,plain,
( spl0_315
<=> ! [X130,X131] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X130),true,ifeq(sum(additive_identity,X130,X131),true,product(add(multiplicative_identity,multiplicative_identity),additive_identity,X131),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f9398,plain,
( ! [X130,X131] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X130),true,ifeq(sum(additive_identity,X130,X131),true,product(add(multiplicative_identity,multiplicative_identity),additive_identity,X131),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9236,f2]) ).
fof(f9236,plain,
( ! [X130,X131] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X130),true,ifeq(true,true,ifeq(sum(additive_identity,X130,X131),true,product(add(multiplicative_identity,multiplicative_identity),additive_identity,X131),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f310,f9111]) ).
fof(f9394,plain,
( spl0_314
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9390,f9109,f9392]) ).
fof(f9392,plain,
( spl0_314
<=> ! [X101,X98,X100,X99] : true = ifeq(product(X98,X99,X100),true,ifeq(sum(additive_identity,X101,X99),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X101,X98),true,sum(additive_identity,X101,X100),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f9390,plain,
( ! [X101,X98,X99,X100] : true = ifeq(product(X98,X99,X100),true,ifeq(sum(additive_identity,X101,X99),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X101,X98),true,sum(additive_identity,X101,X100),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9217,f2]) ).
fof(f9217,plain,
( ! [X101,X98,X99,X100] : true = ifeq(product(X98,X99,X100),true,ifeq(true,true,ifeq(sum(additive_identity,X101,X99),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X101,X98),true,sum(additive_identity,X101,X100),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f18,f9111]) ).
fof(f9389,plain,
( spl0_313
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9385,f9109,f9387]) ).
fof(f9387,plain,
( spl0_313
<=> ! [X29,X27,X28,X26] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X26,X27),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X28,X29),true,ifeq(sum(X28,X26,additive_identity),true,sum(X29,X27,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f9385,plain,
( ! [X28,X29,X26,X27] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X26,X27),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X28,X29),true,ifeq(sum(X28,X26,additive_identity),true,sum(X29,X27,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9199,f2]) ).
fof(f9199,plain,
( ! [X28,X29,X26,X27] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X26,X27),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X28,X29),true,ifeq(sum(X28,X26,additive_identity),true,sum(X29,X27,additive_identity),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f11,f9111]) ).
fof(f9384,plain,
( spl0_312
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9380,f9109,f9382]) ).
fof(f9382,plain,
( spl0_312
<=> ! [X22,X20,X21] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X20,X21),true,ifeq(sum(X20,additive_identity,X22),true,product(add(multiplicative_identity,multiplicative_identity),X22,X21),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f9380,plain,
( ! [X21,X22,X20] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X20,X21),true,ifeq(sum(X20,additive_identity,X22),true,product(add(multiplicative_identity,multiplicative_identity),X22,X21),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9195,f2]) ).
fof(f9195,plain,
( ! [X21,X22,X20] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X20,X21),true,ifeq(sum(X20,additive_identity,X22),true,product(add(multiplicative_identity,multiplicative_identity),X22,X21),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f323,f9111]) ).
fof(f9379,plain,
( spl0_311
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9375,f9109,f9377]) ).
fof(f9377,plain,
( spl0_311
<=> ! [X9,X11,X10] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X9,X10),true,ifeq(sum(additive_identity,X10,X11),true,product(add(multiplicative_identity,multiplicative_identity),X9,X11),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f9375,plain,
( ! [X10,X11,X9] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X9,X10),true,ifeq(sum(additive_identity,X10,X11),true,product(add(multiplicative_identity,multiplicative_identity),X9,X11),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9189,f2]) ).
fof(f9189,plain,
( ! [X10,X11,X9] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X9,X10),true,ifeq(true,true,ifeq(sum(additive_identity,X10,X11),true,product(add(multiplicative_identity,multiplicative_identity),X9,X11),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f348,f9111]) ).
fof(f9374,plain,
( spl0_310
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9370,f9109,f9372]) ).
fof(f9372,plain,
( spl0_310
<=> ! [X133,X132] : true = ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X132),true,ifeq(sum(multiplicative_identity,additive_identity,X133),true,product(add(multiplicative_identity,multiplicative_identity),X133,X132),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f9370,plain,
( ! [X132,X133] : true = ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X132),true,ifeq(sum(multiplicative_identity,additive_identity,X133),true,product(add(multiplicative_identity,multiplicative_identity),X133,X132),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9237,f2]) ).
fof(f9237,plain,
( ! [X132,X133] : true = ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X132),true,ifeq(sum(multiplicative_identity,additive_identity,X133),true,product(add(multiplicative_identity,multiplicative_identity),X133,X132),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f312,f9111]) ).
fof(f9369,plain,
( spl0_290
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9257,f9109,f9271]) ).
fof(f9271,plain,
( spl0_290
<=> ! [X181,X180] : true = ifeq(product(X180,additive_identity,additive_identity),true,ifeq(product(X181,additive_identity,additive_identity),true,ifeq(sum(X181,X180,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f9257,plain,
( ! [X172,X173] : true = ifeq(product(X172,additive_identity,additive_identity),true,ifeq(product(X173,additive_identity,additive_identity),true,ifeq(sum(X173,X172,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f850,f9111]) ).
fof(f9368,plain,
( spl0_309
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9202,f9109,f9366]) ).
fof(f9366,plain,
( spl0_309
<=> ! [X38,X41,X40,X39] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X38,X39),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X40,X41),true,ifeq(sum(X41,X39,additive_identity),true,ifeq(sum(X40,X38,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f9202,plain,
( ! [X40,X38,X41,X39] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X38,X39),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X40,X41),true,ifeq(sum(X41,X39,additive_identity),true,ifeq(sum(X40,X38,additive_identity),true,true,true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f12,f9111]) ).
fof(f9364,plain,
( spl0_308
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9360,f9109,f9362]) ).
fof(f9362,plain,
( spl0_308
<=> ! [X118,X119] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X118,X119),true,ifeq(sum(multiplicative_identity,additive_identity,X118),true,sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X119),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f9360,plain,
( ! [X118,X119] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X118,X119),true,ifeq(sum(multiplicative_identity,additive_identity,X118),true,sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X119),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9230,f2]) ).
fof(f9230,plain,
( ! [X118,X119] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X118,X119),true,ifeq(true,true,ifeq(sum(multiplicative_identity,additive_identity,X118),true,sum(add(multiplicative_identity,multiplicative_identity),additive_identity,X119),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f242,f9111]) ).
fof(f9359,plain,
( spl0_307
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9260,f9109,f9357]) ).
fof(f9357,plain,
( spl0_307
<=> ! [X178,X179] : true = ifeq(product(X178,additive_identity,X179),true,ifeq(sum(X179,additive_identity,additive_identity),true,ifeq(sum(X178,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f9260,plain,
( ! [X178,X179] : true = ifeq(product(X178,additive_identity,X179),true,ifeq(sum(X179,additive_identity,additive_identity),true,ifeq(sum(X178,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f851,f9111]) ).
fof(f9355,plain,
( spl0_306
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9351,f9109,f9353]) ).
fof(f9353,plain,
( spl0_306
<=> ! [X160,X161] : true = ifeq(product(X160,additive_identity,X161),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X160),true,sum(additive_identity,additive_identity,X161),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f9351,plain,
( ! [X160,X161] : true = ifeq(product(X160,additive_identity,X161),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X160),true,sum(additive_identity,additive_identity,X161),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9251,f2]) ).
fof(f9251,plain,
( ! [X160,X161] : true = ifeq(product(X160,additive_identity,X161),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X160),true,sum(additive_identity,additive_identity,X161),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f612,f9111]) ).
fof(f9350,plain,
( spl0_305
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9346,f9109,f9348]) ).
fof(f9348,plain,
( spl0_305
<=> ! [X116,X117] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X116,X117),true,ifeq(sum(multiplicative_identity,X116,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),X117,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f9346,plain,
( ! [X116,X117] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X116,X117),true,ifeq(sum(multiplicative_identity,X116,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),X117,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9229,f2]) ).
fof(f9229,plain,
( ! [X116,X117] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X116,X117),true,ifeq(sum(multiplicative_identity,X116,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),X117,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f242,f9111]) ).
fof(f9345,plain,
( spl0_304
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9341,f9109,f9343]) ).
fof(f9343,plain,
( spl0_304
<=> ! [X102,X105,X104,X103] : true = ifeq(product(X102,X103,X104),true,ifeq(sum(X103,X105,additive_identity),true,ifeq(sum(X102,X105,add(multiplicative_identity,multiplicative_identity)),true,sum(X104,X105,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f9341,plain,
( ! [X104,X102,X105,X103] : true = ifeq(product(X102,X103,X104),true,ifeq(sum(X103,X105,additive_identity),true,ifeq(sum(X102,X105,add(multiplicative_identity,multiplicative_identity)),true,sum(X104,X105,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9218,f2]) ).
fof(f9218,plain,
( ! [X104,X102,X105,X103] : true = ifeq(true,true,ifeq(product(X102,X103,X104),true,ifeq(sum(X103,X105,additive_identity),true,ifeq(sum(X102,X105,add(multiplicative_identity,multiplicative_identity)),true,sum(X104,X105,additive_identity),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f18,f9111]) ).
fof(f9340,plain,
( spl0_303
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9336,f9109,f9338]) ).
fof(f9338,plain,
( spl0_303
<=> ! [X153,X152] : true = ifeq(product(additive_identity,additive_identity,X152),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X153),true,sum(X153,X152,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f9336,plain,
( ! [X152,X153] : true = ifeq(product(additive_identity,additive_identity,X152),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X153),true,sum(X153,X152,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9247,f2]) ).
fof(f9247,plain,
( ! [X152,X153] : true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,X152),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X153),true,sum(X153,X152,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f606,f9111]) ).
fof(f9335,plain,
( spl0_302
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9331,f9109,f9333]) ).
fof(f9333,plain,
( spl0_302
<=> ! [X4,X5,X3] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X3,X4),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X3,X5),true,sum(X5,additive_identity,X4),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f9331,plain,
( ! [X3,X4,X5] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X3,X4),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X3,X5),true,sum(X5,additive_identity,X4),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9187,f2]) ).
fof(f9187,plain,
( ! [X3,X4,X5] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X3,X4),true,ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X3,X5),true,sum(X5,additive_identity,X4),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f262,f9111]) ).
fof(f9330,plain,
( spl0_301
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9235,f9109,f9328]) ).
fof(f9235,plain,
( ! [X128,X129] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X128),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X129),true,ifeq(sum(X129,X128,additive_identity),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f310,f9111]) ).
fof(f9326,plain,
( spl0_300
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9322,f9109,f9324]) ).
fof(f9324,plain,
( spl0_300
<=> ! [X142,X143] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X142,additive_identity),true,ifeq(sum(X142,additive_identity,X143),true,product(add(multiplicative_identity,multiplicative_identity),X143,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f9322,plain,
( ! [X142,X143] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X142,additive_identity),true,ifeq(sum(X142,additive_identity,X143),true,product(add(multiplicative_identity,multiplicative_identity),X143,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9242,f2]) ).
fof(f9242,plain,
( ! [X142,X143] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X142,additive_identity),true,ifeq(sum(X142,additive_identity,X143),true,product(add(multiplicative_identity,multiplicative_identity),X143,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f320,f9111]) ).
fof(f9321,plain,
( spl0_299
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9317,f9109,f9319]) ).
fof(f9319,plain,
( spl0_299
<=> ! [X2,X0,X1] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X0,X1),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X0,X2),true,sum(additive_identity,X2,X1),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f9317,plain,
( ! [X2,X0,X1] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X0,X1),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X0,X2),true,sum(additive_identity,X2,X1),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9186,f2]) ).
fof(f9186,plain,
( ! [X2,X0,X1] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X0,X1),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X0,X2),true,ifeq(true,true,sum(additive_identity,X2,X1),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f232,f9111]) ).
fof(f9315,plain,
( spl0_298
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9311,f9109,f9313]) ).
fof(f9313,plain,
( spl0_298
<=> ! [X73,X71,X70,X72] : true = ifeq(product(X70,additive_identity,X71),true,ifeq(sum(additive_identity,X71,X72),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X70,X73),true,product(X73,additive_identity,X72),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f9311,plain,
( ! [X72,X70,X73,X71] : true = ifeq(product(X70,additive_identity,X71),true,ifeq(sum(additive_identity,X71,X72),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X70,X73),true,product(X73,additive_identity,X72),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9210,f2]) ).
fof(f9210,plain,
( ! [X72,X70,X73,X71] : true = ifeq(product(X70,additive_identity,X71),true,ifeq(true,true,ifeq(sum(additive_identity,X71,X72),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X70,X73),true,product(X73,additive_identity,X72),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f14,f9111]) ).
fof(f9310,plain,
( spl0_297
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9306,f9109,f9308]) ).
fof(f9308,plain,
( spl0_297
<=> ! [X182,X183] : true = ifeq(product(X182,additive_identity,additive_identity),true,ifeq(sum(X182,add(multiplicative_identity,multiplicative_identity),X183),true,product(X183,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f9306,plain,
( ! [X182,X183] : true = ifeq(product(X182,additive_identity,additive_identity),true,ifeq(sum(X182,add(multiplicative_identity,multiplicative_identity),X183),true,product(X183,additive_identity,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9262,f2]) ).
fof(f9262,plain,
( ! [X182,X183] : true = ifeq(true,true,ifeq(product(X182,additive_identity,additive_identity),true,ifeq(sum(X182,add(multiplicative_identity,multiplicative_identity),X183),true,product(X183,additive_identity,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f857,f9111]) ).
fof(f9305,plain,
( spl0_296
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9301,f9109,f9303]) ).
fof(f9303,plain,
( spl0_296
<=> ! [X126,X127] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X126,X127),true,ifeq(sum(additive_identity,X126,multiplicative_identity),true,sum(additive_identity,X127,add(multiplicative_identity,multiplicative_identity)),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f9301,plain,
( ! [X126,X127] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X126,X127),true,ifeq(sum(additive_identity,X126,multiplicative_identity),true,sum(additive_identity,X127,add(multiplicative_identity,multiplicative_identity)),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9234,f2]) ).
fof(f9234,plain,
( ! [X126,X127] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X126,X127),true,ifeq(true,true,ifeq(sum(additive_identity,X126,multiplicative_identity),true,sum(additive_identity,X127,add(multiplicative_identity,multiplicative_identity)),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f267,f9111]) ).
fof(f9300,plain,
( spl0_295
| ~ spl0_109
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9296,f9109,f2725,f9298]) ).
fof(f9298,plain,
( spl0_295
<=> ! [X139,X138] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X138,X139),true,ifeq(sum(X139,add(multiplicative_identity,multiplicative_identity),additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f9296,plain,
( ! [X138,X139] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X138,X139),true,ifeq(sum(X139,add(multiplicative_identity,multiplicative_identity),additive_identity),true,true,true),true)
| ~ spl0_109
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9240,f2726]) ).
fof(f9240,plain,
( ! [X138,X139] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X138,X139),true,ifeq(sum(X139,add(multiplicative_identity,multiplicative_identity),additive_identity),true,ifeq(sum(X138,multiplicative_identity,additive_identity),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f313,f9111]) ).
fof(f9295,plain,
( spl0_294
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9291,f9109,f9293]) ).
fof(f9291,plain,
( ! [X111,X110] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X110),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X111),true,sum(X111,X110,additive_identity),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9226,f2]) ).
fof(f9226,plain,
( ! [X111,X110] : true = ifeq(true,true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X110),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X111),true,sum(X111,X110,additive_identity),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f232,f9111]) ).
fof(f9287,plain,
( spl0_293
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9283,f9109,f9285]) ).
fof(f9285,plain,
( spl0_293
<=> ! [X68,X69,X67,X66] : true = ifeq(product(X66,additive_identity,X67),true,ifeq(sum(X67,additive_identity,X68),true,ifeq(sum(X66,add(multiplicative_identity,multiplicative_identity),X69),true,product(X69,additive_identity,X68),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f9283,plain,
( ! [X68,X69,X66,X67] : true = ifeq(product(X66,additive_identity,X67),true,ifeq(sum(X67,additive_identity,X68),true,ifeq(sum(X66,add(multiplicative_identity,multiplicative_identity),X69),true,product(X69,additive_identity,X68),true),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9209,f2]) ).
fof(f9209,plain,
( ! [X68,X69,X66,X67] : true = ifeq(true,true,ifeq(product(X66,additive_identity,X67),true,ifeq(sum(X67,additive_identity,X68),true,ifeq(sum(X66,add(multiplicative_identity,multiplicative_identity),X69),true,product(X69,additive_identity,X68),true),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f14,f9111]) ).
fof(f9282,plain,
( spl0_292
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9241,f9109,f9280]) ).
fof(f9241,plain,
( ! [X140,X141] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),X140,additive_identity),true,ifeq(product(add(multiplicative_identity,multiplicative_identity),X141,additive_identity),true,ifeq(sum(X141,X140,additive_identity),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f320,f9111]) ).
fof(f9278,plain,
( spl0_291
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9274,f9109,f9276]) ).
fof(f9276,plain,
( spl0_291
<=> ! [X16,X14,X15] : true = ifeq(product(X14,additive_identity,X15),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X14,X16),true,product(X16,additive_identity,X15),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f9274,plain,
( ! [X16,X14,X15] : true = ifeq(product(X14,additive_identity,X15),true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X14,X16),true,product(X16,additive_identity,X15),true),true)
| ~ spl0_288 ),
inference(forward_demodulation,[],[f9193,f2]) ).
fof(f9193,plain,
( ! [X16,X14,X15] : true = ifeq(product(X14,additive_identity,X15),true,ifeq(true,true,ifeq(sum(add(multiplicative_identity,multiplicative_identity),X14,X16),true,product(X16,additive_identity,X15),true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f857,f9111]) ).
fof(f9273,plain,
( spl0_290
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f9261,f9109,f9271]) ).
fof(f9261,plain,
( ! [X180,X181] : true = ifeq(product(X180,additive_identity,additive_identity),true,ifeq(product(X181,additive_identity,additive_identity),true,ifeq(sum(X181,X180,add(multiplicative_identity,multiplicative_identity)),true,true,true),true),true)
| ~ spl0_288 ),
inference(superposition,[],[f857,f9111]) ).
fof(f9117,plain,
( spl0_289
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9066,f8980,f9114]) ).
fof(f8980,plain,
( spl0_280
<=> additive_identity = multiply(additive_identity,add(multiplicative_identity,multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f9066,plain,
( true = product(additive_identity,add(multiplicative_identity,multiplicative_identity),additive_identity)
| ~ spl0_280 ),
inference(superposition,[],[f4,f8982]) ).
fof(f8982,plain,
( additive_identity = multiply(additive_identity,add(multiplicative_identity,multiplicative_identity))
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f8980]) ).
fof(f9112,plain,
( spl0_288
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9067,f8980,f9109]) ).
fof(f9067,plain,
( true = product(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity)
| ~ spl0_280 ),
inference(superposition,[],[f92,f8982]) ).
fof(f9107,plain,
( spl0_287
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9068,f8980,f9105]) ).
fof(f9105,plain,
( spl0_287
<=> ! [X14] : additive_identity = ifeq2(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X14),true,X14,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f9068,plain,
( ! [X14] : additive_identity = ifeq2(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X14),true,X14,additive_identity)
| ~ spl0_280 ),
inference(superposition,[],[f177,f8982]) ).
fof(f177,plain,
! [X11,X12,X13] : multiply(X12,X11) = ifeq2(product(X11,X12,X13),true,X13,multiply(X12,X11)),
inference(forward_demodulation,[],[f170,f1]) ).
fof(f170,plain,
! [X11,X12,X13] : multiply(X12,X11) = ifeq2(true,true,ifeq2(product(X11,X12,X13),true,X13,multiply(X12,X11)),multiply(X12,X11)),
inference(superposition,[],[f24,f92]) ).
fof(f9103,plain,
( spl0_286
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9057,f8980,f9101]) ).
fof(f9101,plain,
( spl0_286
<=> ! [X5] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X5),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X5),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f9057,plain,
( ! [X5] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X5),true,sum(additive_identity,add(multiplicative_identity,multiplicative_identity),X5),true)
| ~ spl0_280 ),
inference(superposition,[],[f6040,f8982]) ).
fof(f6040,plain,
! [X6,X5] : true = ifeq(product(X5,multiplicative_identity,X6),true,sum(multiply(additive_identity,X5),X5,X6),true),
inference(forward_demodulation,[],[f5998,f2]) ).
fof(f5998,plain,
! [X6,X5] : true = ifeq(product(X5,multiplicative_identity,X6),true,ifeq(true,true,sum(multiply(additive_identity,X5),X5,X6),true),true),
inference(superposition,[],[f1733,f92]) ).
fof(f1733,plain,
! [X3,X4,X5] : true = ifeq(product(X3,multiplicative_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,sum(X5,X3,X4),true),true),
inference(forward_demodulation,[],[f1687,f2]) ).
fof(f1687,plain,
! [X3,X4,X5] : true = ifeq(product(X3,multiplicative_identity,X4),true,ifeq(true,true,ifeq(product(X3,additive_identity,X5),true,sum(X5,X3,X4),true),true),true),
inference(superposition,[],[f232,f10]) ).
fof(f9099,plain,
( spl0_285
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9049,f8980,f9097]) ).
fof(f9097,plain,
( spl0_285
<=> ! [X0] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X0),true,sum(additive_identity,X0,add(multiplicative_identity,multiplicative_identity)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f9049,plain,
( ! [X0] : true = ifeq(product(add(multiplicative_identity,multiplicative_identity),multiplicative_identity,X0),true,sum(additive_identity,X0,add(multiplicative_identity,multiplicative_identity)),true)
| ~ spl0_280 ),
inference(superposition,[],[f2389,f8982]) ).
fof(f2389,plain,
! [X4,X5] : true = ifeq(product(X4,multiplicative_identity,X5),true,sum(multiply(additive_identity,X4),X5,X4),true),
inference(forward_demodulation,[],[f2355,f2]) ).
fof(f2355,plain,
! [X4,X5] : true = ifeq(product(X4,multiplicative_identity,X5),true,ifeq(true,true,sum(multiply(additive_identity,X4),X5,X4),true),true),
inference(superposition,[],[f1725,f92]) ).
fof(f1725,plain,
! [X3,X4,X5] : true = ifeq(product(X3,multiplicative_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,sum(X5,X4,X3),true),true),
inference(forward_demodulation,[],[f1681,f2]) ).
fof(f1681,plain,
! [X3,X4,X5] : true = ifeq(true,true,ifeq(product(X3,multiplicative_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,sum(X5,X4,X3),true),true),true),
inference(superposition,[],[f232,f10]) ).
fof(f9095,plain,
( spl0_284
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9070,f8980,f9093]) ).
fof(f9093,plain,
( spl0_284
<=> ! [X16] : ifeq2(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X16),true,additive_identity,X16) = X16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f9070,plain,
( ! [X16] : ifeq2(product(add(multiplicative_identity,multiplicative_identity),additive_identity,X16),true,additive_identity,X16) = X16
| ~ spl0_280 ),
inference(superposition,[],[f186,f8982]) ).
fof(f186,plain,
! [X11,X12,X13] : ifeq2(product(X11,X12,X13),true,multiply(X12,X11),X13) = X13,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f176,plain,
! [X11,X12,X13] : ifeq2(product(X11,X12,X13),true,ifeq2(true,true,multiply(X12,X11),X13),X13) = X13,
inference(superposition,[],[f24,f92]) ).
fof(f9090,plain,
( spl0_283
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9071,f8980,f9088]) ).
fof(f9088,plain,
( spl0_283
<=> ! [X17] : additive_identity = ifeq2(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X17),true,X17,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f9071,plain,
( ! [X17] : additive_identity = ifeq2(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X17),true,X17,additive_identity)
| ~ spl0_280 ),
inference(superposition,[],[f188,f8982]) ).
fof(f9086,plain,
( spl0_282
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9076,f8980,f9083]) ).
fof(f9083,plain,
( spl0_282
<=> true = ifeq(sum(multiplicative_identity,multiplicative_identity,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),add(multiplicative_identity,multiplicative_identity),additive_identity),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f9076,plain,
( true = ifeq(sum(multiplicative_identity,multiplicative_identity,additive_identity),true,sum(add(multiplicative_identity,multiplicative_identity),add(multiplicative_identity,multiplicative_identity),additive_identity),true)
| ~ spl0_280 ),
inference(superposition,[],[f8635,f8982]) ).
fof(f8635,plain,
! [X6,X7] : true = ifeq(sum(multiplicative_identity,multiplicative_identity,X7),true,sum(X6,X6,multiply(X7,X6)),true),
inference(forward_demodulation,[],[f8610,f2]) ).
fof(f8610,plain,
! [X6,X7] : true = ifeq(true,true,ifeq(sum(multiplicative_identity,multiplicative_identity,X7),true,sum(X6,X6,multiply(X7,X6)),true),true),
inference(superposition,[],[f3450,f92]) ).
fof(f3450,plain,
! [X3,X4,X5] : true = ifeq(product(X3,X4,X5),true,ifeq(sum(multiplicative_identity,multiplicative_identity,X4),true,sum(X3,X3,X5),true),true),
inference(forward_demodulation,[],[f3422,f2]) ).
fof(f3422,plain,
! [X3,X4,X5] : true = ifeq(product(X3,X4,X5),true,ifeq(true,true,ifeq(sum(multiplicative_identity,multiplicative_identity,X4),true,sum(X3,X3,X5),true),true),true),
inference(superposition,[],[f241,f10]) ).
fof(f9081,plain,
( spl0_281
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9069,f8980,f9079]) ).
fof(f9079,plain,
( spl0_281
<=> ! [X15] : ifeq2(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X15),true,additive_identity,X15) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f9069,plain,
( ! [X15] : ifeq2(product(additive_identity,add(multiplicative_identity,multiplicative_identity),X15),true,additive_identity,X15) = X15
| ~ spl0_280 ),
inference(superposition,[],[f185,f8982]) ).
fof(f185,plain,
! [X10,X8,X9] : ifeq2(product(X8,X9,X10),true,multiply(X8,X9),X10) = X10,
inference(forward_demodulation,[],[f175,f1]) ).
fof(f175,plain,
! [X10,X8,X9] : ifeq2(product(X8,X9,X10),true,ifeq2(true,true,multiply(X8,X9),X10),X10) = X10,
inference(superposition,[],[f24,f4]) ).
fof(f9035,plain,
spl0_280,
inference(avatar_split_clause,[],[f9034,f8980]) ).
fof(f9034,plain,
additive_identity = multiply(additive_identity,add(multiplicative_identity,multiplicative_identity)),
inference(forward_demodulation,[],[f9033,f699]) ).
fof(f699,plain,
! [X6,X7] : multiply(X7,X6) = multiply(X6,X7),
inference(forward_demodulation,[],[f690,f1]) ).
fof(f690,plain,
! [X6,X7] : multiply(X7,X6) = ifeq2(true,true,multiply(X6,X7),multiply(X7,X6)),
inference(superposition,[],[f185,f92]) ).
fof(f9033,plain,
additive_identity = multiply(add(multiplicative_identity,multiplicative_identity),additive_identity),
inference(forward_demodulation,[],[f8839,f1]) ).
fof(f8839,plain,
multiply(add(multiplicative_identity,multiplicative_identity),additive_identity) = ifeq2(true,true,additive_identity,multiply(add(multiplicative_identity,multiplicative_identity),additive_identity)),
inference(superposition,[],[f135,f8808]) ).
fof(f8808,plain,
! [X0] : true = sum(X0,X0,multiply(add(multiplicative_identity,multiplicative_identity),X0)),
inference(forward_demodulation,[],[f8784,f2]) ).
fof(f8784,plain,
! [X0] : true = ifeq(true,true,sum(X0,X0,multiply(add(multiplicative_identity,multiplicative_identity),X0)),true),
inference(superposition,[],[f8635,f3]) ).
fof(f3,axiom,
! [X3,X4] : sum(X3,X4,add(X3,X4)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f135,plain,
! [X2,X3] : ifeq2(sum(X2,additive_identity,X3),true,X2,X3) = X3,
inference(forward_demodulation,[],[f108,f1]) ).
fof(f108,plain,
! [X2,X3] : ifeq2(sum(X2,additive_identity,X3),true,ifeq2(true,true,X2,X3),X3) = X3,
inference(superposition,[],[f23,f8]) ).
fof(f23,axiom,
! [X3,X10,X11,X4] : ifeq2(sum(X3,X4,X10),true,ifeq2(sum(X3,X4,X11),true,X11,X10),X10) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f9008,plain,
spl0_280,
inference(avatar_split_clause,[],[f9007,f8980]) ).
fof(f9007,plain,
additive_identity = multiply(additive_identity,add(multiplicative_identity,multiplicative_identity)),
inference(forward_demodulation,[],[f9006,f699]) ).
fof(f9006,plain,
additive_identity = multiply(add(multiplicative_identity,multiplicative_identity),additive_identity),
inference(forward_demodulation,[],[f8846,f1]) ).
fof(f8846,plain,
multiply(add(multiplicative_identity,multiplicative_identity),additive_identity) = ifeq2(true,true,additive_identity,multiply(add(multiplicative_identity,multiplicative_identity),additive_identity)),
inference(superposition,[],[f127,f8808]) ).
fof(f127,plain,
! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,X0,X1) = X1,
inference(forward_demodulation,[],[f107,f1]) ).
fof(f107,plain,
! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
inference(superposition,[],[f23,f7]) ).
fof(f8998,plain,
spl0_280,
inference(avatar_split_clause,[],[f8997,f8980]) ).
fof(f8997,plain,
additive_identity = multiply(additive_identity,add(multiplicative_identity,multiplicative_identity)),
inference(forward_demodulation,[],[f8996,f699]) ).
fof(f8996,plain,
additive_identity = multiply(add(multiplicative_identity,multiplicative_identity),additive_identity),
inference(forward_demodulation,[],[f8840,f1]) ).
fof(f8840,plain,
additive_identity = ifeq2(true,true,multiply(add(multiplicative_identity,multiplicative_identity),additive_identity),additive_identity),
inference(superposition,[],[f121,f8808]) ).
fof(f121,plain,
! [X2,X3] : ifeq2(sum(X2,additive_identity,X3),true,X3,X2) = X2,
inference(forward_demodulation,[],[f100,f1]) ).
fof(f100,plain,
! [X2,X3] : ifeq2(true,true,ifeq2(sum(X2,additive_identity,X3),true,X3,X2),X2) = X2,
inference(superposition,[],[f23,f8]) ).
fof(f8983,plain,
spl0_280,
inference(avatar_split_clause,[],[f8978,f8980]) ).
fof(f8978,plain,
additive_identity = multiply(additive_identity,add(multiplicative_identity,multiplicative_identity)),
inference(forward_demodulation,[],[f8977,f699]) ).
fof(f8977,plain,
additive_identity = multiply(add(multiplicative_identity,multiplicative_identity),additive_identity),
inference(forward_demodulation,[],[f8847,f1]) ).
fof(f8847,plain,
additive_identity = ifeq2(true,true,multiply(add(multiplicative_identity,multiplicative_identity),additive_identity),additive_identity),
inference(superposition,[],[f137,f8808]) ).
fof(f137,plain,
! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,X1,X0) = X0,
inference(forward_demodulation,[],[f99,f1]) ).
fof(f99,plain,
! [X0,X1] : ifeq2(true,true,ifeq2(sum(additive_identity,X0,X1),true,X1,X0),X0) = X0,
inference(superposition,[],[f23,f7]) ).
fof(f8972,plain,
spl0_279,
inference(avatar_split_clause,[],[f8828,f8969]) ).
fof(f8969,plain,
( spl0_279
<=> true = sum(inverse(add(multiplicative_identity,multiplicative_identity)),inverse(add(multiplicative_identity,multiplicative_identity)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f8828,plain,
true = sum(inverse(add(multiplicative_identity,multiplicative_identity)),inverse(add(multiplicative_identity,multiplicative_identity)),additive_identity),
inference(superposition,[],[f8808,f515]) ).
fof(f8740,plain,
( spl0_278
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f8736,f28,f8738]) ).
fof(f8738,plain,
( spl0_278
<=> ! [X32,X33] : true = ifeq(product(additive_identity,X32,y),true,ifeq(product(X33,X32,x),true,product(X33,X32,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f28,plain,
( spl0_1
<=> true = sum(x,y,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f8736,plain,
( ! [X32,X33] : true = ifeq(product(additive_identity,X32,y),true,ifeq(product(X33,X32,x),true,product(X33,X32,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f8704,f2]) ).
fof(f8704,plain,
( ! [X32,X33] : true = ifeq(product(additive_identity,X32,y),true,ifeq(product(X33,X32,x),true,ifeq(true,true,product(X33,X32,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f864,f30]) ).
fof(f30,plain,
( true = sum(x,y,z)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f8729,plain,
( spl0_277
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8725,f57,f8727]) ).
fof(f8727,plain,
( spl0_277
<=> ! [X34,X35] : true = ifeq(product(additive_identity,X34,x),true,ifeq(product(X35,X34,y),true,product(X35,X34,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f8725,plain,
( ! [X34,X35] : true = ifeq(product(additive_identity,X34,x),true,ifeq(product(X35,X34,y),true,product(X35,X34,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f8705,f2]) ).
fof(f8705,plain,
( ! [X34,X35] : true = ifeq(product(additive_identity,X34,x),true,ifeq(product(X35,X34,y),true,ifeq(true,true,product(X35,X34,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f864,f59]) ).
fof(f8717,plain,
( spl0_276
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f8713,f2552,f8715]) ).
fof(f8715,plain,
( spl0_276
<=> ! [X4,X5,X3] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(sum(X4,additive_identity,X5),true,product(X3,additive_identity,X5),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f2552,plain,
( spl0_92
<=> true = product(additive_identity,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f8713,plain,
( ! [X3,X4,X5] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(sum(X4,additive_identity,X5),true,product(X3,additive_identity,X5),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f8683,f2]) ).
fof(f8683,plain,
( ! [X3,X4,X5] : true = ifeq(true,true,ifeq(product(X3,additive_identity,X4),true,ifeq(sum(X4,additive_identity,X5),true,product(X3,additive_identity,X5),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f864,f2554]) ).
fof(f2554,plain,
( true = product(additive_identity,additive_identity,additive_identity)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f2552]) ).
fof(f8335,plain,
( spl0_275
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f8331,f2552,f8333]) ).
fof(f8333,plain,
( spl0_275
<=> ! [X9,X8,X10] : true = ifeq(product(X8,additive_identity,X9),true,ifeq(sum(additive_identity,X8,X10),true,product(X10,additive_identity,X9),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f8331,plain,
( ! [X10,X8,X9] : true = ifeq(product(X8,additive_identity,X9),true,ifeq(sum(additive_identity,X8,X10),true,product(X10,additive_identity,X9),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f8278,f2]) ).
fof(f8278,plain,
( ! [X10,X8,X9] : true = ifeq(product(X8,additive_identity,X9),true,ifeq(true,true,ifeq(sum(additive_identity,X8,X10),true,product(X10,additive_identity,X9),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f857,f2554]) ).
fof(f8325,plain,
( spl0_274
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8321,f57,f8323]) ).
fof(f8323,plain,
( spl0_274
<=> ! [X34,X35] : true = ifeq(product(x,X34,X35),true,ifeq(product(y,X34,additive_identity),true,product(z,X34,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f8321,plain,
( ! [X34,X35] : true = ifeq(product(x,X34,X35),true,ifeq(product(y,X34,additive_identity),true,product(z,X34,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f8292,f2]) ).
fof(f8292,plain,
( ! [X34,X35] : true = ifeq(product(x,X34,X35),true,ifeq(product(y,X34,additive_identity),true,ifeq(true,true,product(z,X34,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f857,f59]) ).
fof(f8315,plain,
( spl0_273
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f8311,f28,f8313]) ).
fof(f8313,plain,
( spl0_273
<=> ! [X32,X33] : true = ifeq(product(y,X32,X33),true,ifeq(product(x,X32,additive_identity),true,product(z,X32,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f8311,plain,
( ! [X32,X33] : true = ifeq(product(y,X32,X33),true,ifeq(product(x,X32,additive_identity),true,product(z,X32,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f8291,f2]) ).
fof(f8291,plain,
( ! [X32,X33] : true = ifeq(product(y,X32,X33),true,ifeq(product(x,X32,additive_identity),true,ifeq(true,true,product(z,X32,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f857,f30]) ).
fof(f8266,plain,
spl0_268,
inference(avatar_split_clause,[],[f8265,f8222]) ).
fof(f8222,plain,
( spl0_268
<=> ! [X18,X17,X19] : true = ifeq(product(additive_identity,X17,X18),true,ifeq(sum(X18,X17,X19),true,product(multiplicative_identity,X17,X19),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f8265,plain,
! [X8,X6,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(sum(X7,X6,X8),true,product(multiplicative_identity,X6,X8),true),true),
inference(forward_demodulation,[],[f8264,f385]) ).
fof(f385,plain,
! [X2] : multiply(X2,multiplicative_identity) = X2,
inference(forward_demodulation,[],[f383,f1]) ).
fof(f383,plain,
! [X2] : multiply(X2,multiplicative_identity) = ifeq2(true,true,X2,multiply(X2,multiplicative_identity)),
inference(superposition,[],[f179,f92]) ).
fof(f179,plain,
! [X0,X1] : ifeq2(product(multiplicative_identity,X0,X1),true,X0,X1) = X1,
inference(forward_demodulation,[],[f171,f1]) ).
fof(f171,plain,
! [X0,X1] : ifeq2(product(multiplicative_identity,X0,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
inference(superposition,[],[f24,f9]) ).
fof(f8264,plain,
! [X8,X6,X7] : true = ifeq(product(multiply(additive_identity,multiplicative_identity),X6,X7),true,ifeq(sum(X7,X6,X8),true,product(multiplicative_identity,X6,X8),true),true),
inference(forward_demodulation,[],[f8202,f2]) ).
fof(f8202,plain,
! [X8,X6,X7] : true = ifeq(product(multiply(additive_identity,multiplicative_identity),X6,X7),true,ifeq(sum(X7,X6,X8),true,ifeq(true,true,product(multiplicative_identity,X6,X8),true),true),true),
inference(superposition,[],[f851,f2442]) ).
fof(f2442,plain,
! [X1] : true = sum(multiply(additive_identity,X1),X1,X1),
inference(forward_demodulation,[],[f2433,f2]) ).
fof(f2433,plain,
! [X1] : true = ifeq(true,true,sum(multiply(additive_identity,X1),X1,X1),true),
inference(superposition,[],[f2369,f92]) ).
fof(f2369,plain,
! [X4,X5] : true = ifeq(product(X4,additive_identity,X5),true,sum(X5,X4,X4),true),
inference(forward_demodulation,[],[f2368,f385]) ).
fof(f2368,plain,
! [X4,X5] : true = ifeq(product(X4,additive_identity,X5),true,sum(X5,multiply(X4,multiplicative_identity),X4),true),
inference(forward_demodulation,[],[f2350,f2]) ).
fof(f2350,plain,
! [X4,X5] : true = ifeq(true,true,ifeq(product(X4,additive_identity,X5),true,sum(X5,multiply(X4,multiplicative_identity),X4),true),true),
inference(superposition,[],[f1725,f4]) ).
fof(f8261,plain,
( spl0_272
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f8257,f2552,f8259]) ).
fof(f8259,plain,
( spl0_272
<=> ! [X13,X12] : true = ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,multiplicative_identity,X13),true,product(X13,additive_identity,X12),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f8257,plain,
( ! [X12,X13] : true = ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,multiplicative_identity,X13),true,product(X13,additive_identity,X12),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f8185,f2]) ).
fof(f8185,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,multiplicative_identity,X13),true,product(X13,additive_identity,X12),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f851,f2554]) ).
fof(f8256,plain,
spl0_268,
inference(avatar_split_clause,[],[f8255,f8222]) ).
fof(f8255,plain,
! [X3,X4,X5] : true = ifeq(product(additive_identity,X3,X4),true,ifeq(sum(X4,X3,X5),true,product(multiplicative_identity,X3,X5),true),true),
inference(forward_demodulation,[],[f8254,f385]) ).
fof(f8254,plain,
! [X3,X4,X5] : true = ifeq(product(multiply(additive_identity,multiplicative_identity),X3,X4),true,ifeq(sum(X4,X3,X5),true,product(multiplicative_identity,X3,X5),true),true),
inference(forward_demodulation,[],[f8253,f699]) ).
fof(f8253,plain,
! [X3,X4,X5] : true = ifeq(product(multiply(multiplicative_identity,additive_identity),X3,X4),true,ifeq(sum(X4,X3,X5),true,product(multiplicative_identity,X3,X5),true),true),
inference(forward_demodulation,[],[f8201,f2]) ).
fof(f8201,plain,
! [X3,X4,X5] : true = ifeq(product(multiply(multiplicative_identity,additive_identity),X3,X4),true,ifeq(sum(X4,X3,X5),true,ifeq(true,true,product(multiplicative_identity,X3,X5),true),true),true),
inference(superposition,[],[f851,f2441]) ).
fof(f2441,plain,
! [X0] : true = sum(multiply(X0,additive_identity),X0,X0),
inference(forward_demodulation,[],[f2432,f2]) ).
fof(f2432,plain,
! [X0] : true = ifeq(true,true,sum(multiply(X0,additive_identity),X0,X0),true),
inference(superposition,[],[f2369,f4]) ).
fof(f8250,plain,
spl0_268,
inference(avatar_split_clause,[],[f8249,f8222]) ).
fof(f8249,plain,
! [X2,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X1,X0,X2),true,product(multiplicative_identity,X0,X2),true),true),
inference(forward_demodulation,[],[f8200,f2]) ).
fof(f8200,plain,
! [X2,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X1,X0,X2),true,ifeq(true,true,product(multiplicative_identity,X0,X2),true),true),true),
inference(superposition,[],[f851,f7]) ).
fof(f8245,plain,
( spl0_271
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8241,f57,f8243]) ).
fof(f8243,plain,
( spl0_271
<=> ! [X34,X35] : true = ifeq(product(X34,x,y),true,ifeq(sum(X34,multiplicative_identity,X35),true,product(X35,x,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f8241,plain,
( ! [X34,X35] : true = ifeq(product(X34,x,y),true,ifeq(sum(X34,multiplicative_identity,X35),true,product(X35,x,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f8199,f2]) ).
fof(f8199,plain,
( ! [X34,X35] : true = ifeq(product(X34,x,y),true,ifeq(true,true,ifeq(sum(X34,multiplicative_identity,X35),true,product(X35,x,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f851,f59]) ).
fof(f8240,plain,
( spl0_270
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f8236,f28,f8238]) ).
fof(f8238,plain,
( spl0_270
<=> ! [X32,X33] : true = ifeq(product(X32,y,x),true,ifeq(sum(X32,multiplicative_identity,X33),true,product(X33,y,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f8236,plain,
( ! [X32,X33] : true = ifeq(product(X32,y,x),true,ifeq(sum(X32,multiplicative_identity,X33),true,product(X33,y,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f8198,f2]) ).
fof(f8198,plain,
( ! [X32,X33] : true = ifeq(product(X32,y,x),true,ifeq(true,true,ifeq(sum(X32,multiplicative_identity,X33),true,product(X33,y,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f851,f30]) ).
fof(f8233,plain,
( spl0_269
| ~ spl0_92
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f8229,f2725,f2552,f8231]) ).
fof(f8231,plain,
( spl0_269
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X13,additive_identity,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f8229,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X13,additive_identity,additive_identity),true,true,true),true)
| ~ spl0_92
| ~ spl0_109 ),
inference(forward_demodulation,[],[f8210,f2726]) ).
fof(f8210,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X13,additive_identity,additive_identity),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f851,f2554]) ).
fof(f8224,plain,
( spl0_268
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f8220,f389,f8222]) ).
fof(f389,plain,
( spl0_18
<=> additive_identity = inverse(multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f8220,plain,
( ! [X18,X19,X17] : true = ifeq(product(additive_identity,X17,X18),true,ifeq(sum(X18,X17,X19),true,product(multiplicative_identity,X17,X19),true),true)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f8219,f391]) ).
fof(f391,plain,
( additive_identity = inverse(multiplicative_identity)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f8219,plain,
! [X18,X19,X17] : true = ifeq(product(inverse(multiplicative_identity),X17,X18),true,ifeq(sum(X18,X17,X19),true,product(multiplicative_identity,X17,X19),true),true),
inference(forward_demodulation,[],[f8205,f2]) ).
fof(f8205,plain,
! [X18,X19,X17] : true = ifeq(product(inverse(multiplicative_identity),X17,X18),true,ifeq(sum(X18,X17,X19),true,ifeq(true,true,product(multiplicative_identity,X17,X19),true),true),true),
inference(superposition,[],[f851,f19]) ).
fof(f19,axiom,
! [X3] : true = sum(inverse(X3),X3,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f8179,plain,
( spl0_267
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f8175,f2552,f8177]) ).
fof(f8177,plain,
( spl0_267
<=> ! [X9,X8,X10] : true = ifeq(product(X8,additive_identity,X9),true,ifeq(sum(X8,additive_identity,X10),true,product(X10,additive_identity,X9),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f8175,plain,
( ! [X10,X8,X9] : true = ifeq(product(X8,additive_identity,X9),true,ifeq(sum(X8,additive_identity,X10),true,product(X10,additive_identity,X9),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f8108,f2]) ).
fof(f8108,plain,
( ! [X10,X8,X9] : true = ifeq(true,true,ifeq(product(X8,additive_identity,X9),true,ifeq(sum(X8,additive_identity,X10),true,product(X10,additive_identity,X9),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f850,f2554]) ).
fof(f8172,plain,
( spl0_266
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f8168,f2552,f8170]) ).
fof(f8170,plain,
( spl0_266
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,additive_identity),true,ifeq(sum(additive_identity,X12,X13),true,product(X13,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f8168,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,additive_identity),true,ifeq(sum(additive_identity,X12,X13),true,product(X13,additive_identity,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f8115,f2]) ).
fof(f8115,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,additive_identity),true,ifeq(true,true,ifeq(sum(additive_identity,X12,X13),true,product(X13,additive_identity,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f850,f2554]) ).
fof(f8166,plain,
( spl0_265
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8162,f57,f8164]) ).
fof(f8164,plain,
( spl0_265
<=> ! [X34,X35] : true = ifeq(product(x,X34,additive_identity),true,ifeq(product(y,X34,X35),true,product(z,X34,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f8162,plain,
( ! [X34,X35] : true = ifeq(product(x,X34,additive_identity),true,ifeq(product(y,X34,X35),true,product(z,X34,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f8129,f2]) ).
fof(f8129,plain,
( ! [X34,X35] : true = ifeq(product(x,X34,additive_identity),true,ifeq(product(y,X34,X35),true,ifeq(true,true,product(z,X34,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f850,f59]) ).
fof(f8149,plain,
( spl0_264
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f8134,f2552,f8147]) ).
fof(f8147,plain,
( spl0_264
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,additive_identity),true,ifeq(product(X13,additive_identity,additive_identity),true,ifeq(sum(X13,X12,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f8134,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,additive_identity),true,ifeq(product(X13,additive_identity,additive_identity),true,ifeq(sum(X13,X12,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f850,f2554]) ).
fof(f8144,plain,
( spl0_263
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f8140,f28,f8142]) ).
fof(f8142,plain,
( spl0_263
<=> ! [X32,X33] : true = ifeq(product(y,X32,additive_identity),true,ifeq(product(x,X32,X33),true,product(z,X32,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f8140,plain,
( ! [X32,X33] : true = ifeq(product(y,X32,additive_identity),true,ifeq(product(x,X32,X33),true,product(z,X32,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f8128,f2]) ).
fof(f8128,plain,
( ! [X32,X33] : true = ifeq(product(y,X32,additive_identity),true,ifeq(product(x,X32,X33),true,ifeq(true,true,product(z,X32,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f850,f30]) ).
fof(f8041,plain,
( spl0_262
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8037,f57,f8039]) ).
fof(f8039,plain,
( spl0_262
<=> ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,y),true,ifeq(sum(X34,x,X35),true,product(X35,multiplicative_identity,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f8037,plain,
( ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,y),true,ifeq(sum(X34,x,X35),true,product(X35,multiplicative_identity,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f7972,f2]) ).
fof(f7972,plain,
( ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,y),true,ifeq(true,true,ifeq(sum(X34,x,X35),true,product(X35,multiplicative_identity,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f849,f59]) ).
fof(f849,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(sum(X7,X5,X8),true,ifeq(sum(X6,X5,X9),true,product(X9,multiplicative_identity,X8),true),true),true),
inference(forward_demodulation,[],[f802,f2]) ).
fof(f802,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(true,true,ifeq(product(X6,multiplicative_identity,X7),true,ifeq(sum(X7,X5,X8),true,ifeq(sum(X6,X5,X9),true,product(X9,multiplicative_identity,X8),true),true),true),true),
inference(superposition,[],[f14,f10]) ).
fof(f8027,plain,
( spl0_261
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8023,f57,f8025]) ).
fof(f8025,plain,
( spl0_261
<=> ! [X34,X35] : true = ifeq(product(y,multiplicative_identity,X34),true,ifeq(sum(X34,x,X35),true,product(z,multiplicative_identity,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f8023,plain,
( ! [X34,X35] : true = ifeq(product(y,multiplicative_identity,X34),true,ifeq(sum(X34,x,X35),true,product(z,multiplicative_identity,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f7984,f2]) ).
fof(f7984,plain,
( ! [X34,X35] : true = ifeq(product(y,multiplicative_identity,X34),true,ifeq(sum(X34,x,X35),true,ifeq(true,true,product(z,multiplicative_identity,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f849,f59]) ).
fof(f8009,plain,
( spl0_260
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f8005,f28,f8007]) ).
fof(f8007,plain,
( spl0_260
<=> ! [X32,X33] : true = ifeq(product(x,multiplicative_identity,X32),true,ifeq(sum(X32,y,X33),true,product(z,multiplicative_identity,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f8005,plain,
( ! [X32,X33] : true = ifeq(product(x,multiplicative_identity,X32),true,ifeq(sum(X32,y,X33),true,product(z,multiplicative_identity,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f7983,f2]) ).
fof(f7983,plain,
( ! [X32,X33] : true = ifeq(product(x,multiplicative_identity,X32),true,ifeq(sum(X32,y,X33),true,ifeq(true,true,product(z,multiplicative_identity,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f849,f30]) ).
fof(f8002,plain,
( spl0_259
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7998,f28,f8000]) ).
fof(f8000,plain,
( spl0_259
<=> ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,x),true,ifeq(sum(X32,y,X33),true,product(X33,multiplicative_identity,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f7998,plain,
( ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,x),true,ifeq(sum(X32,y,X33),true,product(X33,multiplicative_identity,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f7971,f2]) ).
fof(f7971,plain,
( ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,x),true,ifeq(true,true,ifeq(sum(X32,y,X33),true,product(X33,multiplicative_identity,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f849,f30]) ).
fof(f7954,plain,
( spl0_258
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7950,f57,f7952]) ).
fof(f7952,plain,
( spl0_258
<=> ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,x),true,ifeq(sum(y,X34,X35),true,product(X35,multiplicative_identity,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f7950,plain,
( ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,x),true,ifeq(sum(y,X34,X35),true,product(X35,multiplicative_identity,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f7881,f2]) ).
fof(f7881,plain,
( ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,x),true,ifeq(true,true,ifeq(sum(y,X34,X35),true,product(X35,multiplicative_identity,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f842,f59]) ).
fof(f842,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(sum(X5,X7,X8),true,ifeq(sum(X5,X6,X9),true,product(X9,multiplicative_identity,X8),true),true),true),
inference(forward_demodulation,[],[f808,f2]) ).
fof(f808,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(true,true,ifeq(sum(X5,X7,X8),true,ifeq(sum(X5,X6,X9),true,product(X9,multiplicative_identity,X8),true),true),true),true),
inference(superposition,[],[f14,f10]) ).
fof(f7949,plain,
( spl0_257
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7945,f28,f7947]) ).
fof(f7947,plain,
( spl0_257
<=> ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,y),true,ifeq(sum(x,X32,X33),true,product(X33,multiplicative_identity,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f7945,plain,
( ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,y),true,ifeq(sum(x,X32,X33),true,product(X33,multiplicative_identity,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f7880,f2]) ).
fof(f7880,plain,
( ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,y),true,ifeq(true,true,ifeq(sum(x,X32,X33),true,product(X33,multiplicative_identity,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f842,f30]) ).
fof(f7928,plain,
( spl0_256
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f7924,f389,f7926]) ).
fof(f7926,plain,
( spl0_256
<=> ! [X9,X8,X7] : true = ifeq(sum(X7,additive_identity,X8),true,ifeq(sum(X7,additive_identity,X9),true,product(X9,multiplicative_identity,X8),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f7924,plain,
( ! [X8,X9,X7] : true = ifeq(sum(X7,additive_identity,X8),true,ifeq(sum(X7,additive_identity,X9),true,product(X9,multiplicative_identity,X8),true),true)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f7923,f391]) ).
fof(f7923,plain,
! [X8,X9,X7] : true = ifeq(sum(X7,additive_identity,X8),true,ifeq(sum(X7,inverse(multiplicative_identity),X9),true,product(X9,multiplicative_identity,X8),true),true),
inference(forward_demodulation,[],[f7867,f2]) ).
fof(f7867,plain,
! [X8,X9,X7] : true = ifeq(true,true,ifeq(sum(X7,additive_identity,X8),true,ifeq(sum(X7,inverse(multiplicative_identity),X9),true,product(X9,multiplicative_identity,X8),true),true),true),
inference(superposition,[],[f842,f21]) ).
fof(f7921,plain,
( spl0_255
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7917,f28,f7919]) ).
fof(f7919,plain,
( spl0_255
<=> ! [X32,X33] : true = ifeq(product(y,multiplicative_identity,X32),true,ifeq(sum(x,X32,X33),true,product(z,multiplicative_identity,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f7917,plain,
( ! [X32,X33] : true = ifeq(product(y,multiplicative_identity,X32),true,ifeq(sum(x,X32,X33),true,product(z,multiplicative_identity,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f7892,f2]) ).
fof(f7892,plain,
( ! [X32,X33] : true = ifeq(product(y,multiplicative_identity,X32),true,ifeq(sum(x,X32,X33),true,ifeq(true,true,product(z,multiplicative_identity,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f842,f30]) ).
fof(f7916,plain,
( spl0_254
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7912,f57,f7914]) ).
fof(f7914,plain,
( spl0_254
<=> ! [X34,X35] : true = ifeq(product(x,multiplicative_identity,X34),true,ifeq(sum(y,X34,X35),true,product(z,multiplicative_identity,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f7912,plain,
( ! [X34,X35] : true = ifeq(product(x,multiplicative_identity,X34),true,ifeq(sum(y,X34,X35),true,product(z,multiplicative_identity,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f7893,f2]) ).
fof(f7893,plain,
( ! [X34,X35] : true = ifeq(product(x,multiplicative_identity,X34),true,ifeq(sum(y,X34,X35),true,ifeq(true,true,product(z,multiplicative_identity,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f842,f59]) ).
fof(f7792,plain,
( spl0_253
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7788,f28,f7790]) ).
fof(f7790,plain,
( spl0_253
<=> ! [X32,X33] : true = ifeq(product(y,multiplicative_identity,X32),true,ifeq(product(x,multiplicative_identity,X33),true,sum(X33,X32,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f7788,plain,
( ! [X32,X33] : true = ifeq(product(y,multiplicative_identity,X32),true,ifeq(product(x,multiplicative_identity,X33),true,sum(X33,X32,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f7727,f2]) ).
fof(f7727,plain,
( ! [X32,X33] : true = ifeq(product(y,multiplicative_identity,X32),true,ifeq(product(x,multiplicative_identity,X33),true,ifeq(true,true,sum(X33,X32,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f645,f30]) ).
fof(f645,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(product(X8,multiplicative_identity,X9),true,ifeq(sum(X8,X6,X5),true,sum(X9,X7,X5),true),true),true),
inference(forward_demodulation,[],[f571,f2]) ).
fof(f571,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(true,true,ifeq(product(X6,multiplicative_identity,X7),true,ifeq(product(X8,multiplicative_identity,X9),true,ifeq(sum(X8,X6,X5),true,sum(X9,X7,X5),true),true),true),true),
inference(superposition,[],[f13,f10]) ).
fof(f7781,plain,
( spl0_252
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7777,f57,f7779]) ).
fof(f7779,plain,
( spl0_252
<=> ! [X34,X35] : true = ifeq(product(x,multiplicative_identity,X34),true,ifeq(product(y,multiplicative_identity,X35),true,sum(X35,X34,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f7777,plain,
( ! [X34,X35] : true = ifeq(product(x,multiplicative_identity,X34),true,ifeq(product(y,multiplicative_identity,X35),true,sum(X35,X34,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f7728,f2]) ).
fof(f7728,plain,
( ! [X34,X35] : true = ifeq(product(x,multiplicative_identity,X34),true,ifeq(product(y,multiplicative_identity,X35),true,ifeq(true,true,sum(X35,X34,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f645,f59]) ).
fof(f7771,plain,
( spl0_251
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7739,f28,f7769]) ).
fof(f7769,plain,
( spl0_251
<=> ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,y),true,ifeq(product(X33,multiplicative_identity,x),true,ifeq(sum(X33,X32,z),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f7739,plain,
( ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,y),true,ifeq(product(X33,multiplicative_identity,x),true,ifeq(sum(X33,X32,z),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f645,f30]) ).
fof(f7767,plain,
( spl0_250
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7740,f57,f7765]) ).
fof(f7765,plain,
( spl0_250
<=> ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,x),true,ifeq(product(X35,multiplicative_identity,y),true,ifeq(sum(X35,X34,z),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f7740,plain,
( ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,x),true,ifeq(product(X35,multiplicative_identity,y),true,ifeq(sum(X35,X34,z),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f645,f59]) ).
fof(f7409,plain,
( spl0_249
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f7405,f2552,f7407]) ).
fof(f7407,plain,
( spl0_249
<=> ! [X4,X5,X3] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,sum(additive_identity,X5,X4),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f7405,plain,
( ! [X3,X4,X5] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,sum(additive_identity,X5,X4),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f7381,f2]) ).
fof(f7381,plain,
( ! [X3,X4,X5] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,ifeq(true,true,sum(additive_identity,X5,X4),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f643,f2554]) ).
fof(f7284,plain,
( spl0_248
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7230,f28,f7282]) ).
fof(f7282,plain,
( spl0_248
<=> ! [X22] : true = ifeq(product(multiplicative_identity,X22,z),true,ifeq(sum(x,y,X22),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f7230,plain,
( ! [X22] : true = ifeq(product(multiplicative_identity,X22,z),true,ifeq(sum(x,y,X22),true,true,true),true)
| ~ spl0_1 ),
inference(superposition,[],[f3228,f30]) ).
fof(f3228,plain,
! [X16,X14,X17,X15] : true = ifeq(product(multiplicative_identity,X15,X16),true,ifeq(sum(X17,X14,X15),true,sum(X17,X14,X16),true),true),
inference(forward_demodulation,[],[f3227,f385]) ).
fof(f3227,plain,
! [X16,X14,X17,X15] : true = ifeq(product(multiplicative_identity,X15,X16),true,ifeq(sum(X17,X14,X15),true,sum(X17,multiply(X14,multiplicative_identity),X16),true),true),
inference(forward_demodulation,[],[f3181,f2]) ).
fof(f3181,plain,
! [X16,X14,X17,X15] : true = ifeq(product(multiplicative_identity,X15,X16),true,ifeq(true,true,ifeq(sum(X17,X14,X15),true,sum(X17,multiply(X14,multiplicative_identity),X16),true),true),true),
inference(superposition,[],[f234,f92]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(multiplicative_identity,X3,X4),true,ifeq(sum(X0,X3,X1),true,sum(X0,X4,X2),true),true),true),
inference(forward_demodulation,[],[f209,f2]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(multiplicative_identity,X3,X4),true,ifeq(true,true,ifeq(sum(X0,X3,X1),true,sum(X0,X4,X2),true),true),true),true),
inference(superposition,[],[f11,f9]) ).
fof(f7267,plain,
( spl0_247
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7263,f57,f7265]) ).
fof(f7265,plain,
( spl0_247
<=> ! [X23] : true = ifeq(product(multiplicative_identity,z,X23),true,sum(y,x,X23),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f7263,plain,
( ! [X23] : true = ifeq(product(multiplicative_identity,z,X23),true,sum(y,x,X23),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f7219,f2]) ).
fof(f7219,plain,
( ! [X23] : true = ifeq(product(multiplicative_identity,z,X23),true,ifeq(true,true,sum(y,x,X23),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f3228,f59]) ).
fof(f7260,plain,
( spl0_246
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7256,f28,f7258]) ).
fof(f7258,plain,
( spl0_246
<=> ! [X22] : true = ifeq(product(multiplicative_identity,z,X22),true,sum(x,y,X22),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f7256,plain,
( ! [X22] : true = ifeq(product(multiplicative_identity,z,X22),true,sum(x,y,X22),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f7218,f2]) ).
fof(f7218,plain,
( ! [X22] : true = ifeq(product(multiplicative_identity,z,X22),true,ifeq(true,true,sum(x,y,X22),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f3228,f30]) ).
fof(f7255,plain,
( spl0_245
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7231,f57,f7253]) ).
fof(f7253,plain,
( spl0_245
<=> ! [X23] : true = ifeq(product(multiplicative_identity,X23,z),true,ifeq(sum(y,x,X23),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f7231,plain,
( ! [X23] : true = ifeq(product(multiplicative_identity,X23,z),true,ifeq(sum(y,x,X23),true,true,true),true)
| ~ spl0_3 ),
inference(superposition,[],[f3228,f59]) ).
fof(f7028,plain,
( spl0_244
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6980,f28,f7026]) ).
fof(f7026,plain,
( spl0_244
<=> ! [X32,X33] : true = ifeq(product(X32,z,y),true,ifeq(product(X33,z,x),true,ifeq(sum(X33,X32,multiplicative_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f6980,plain,
( ! [X32,X33] : true = ifeq(product(X32,z,y),true,ifeq(product(X33,z,x),true,ifeq(sum(X33,X32,multiplicative_identity),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f640,f30]) ).
fof(f7018,plain,
( spl0_243
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f7014,f2552,f7016]) ).
fof(f7016,plain,
( spl0_243
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(additive_identity,X12,multiplicative_identity),true,sum(additive_identity,X13,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f7014,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(additive_identity,X12,multiplicative_identity),true,sum(additive_identity,X13,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f6959,f2]) ).
fof(f6959,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(true,true,ifeq(sum(additive_identity,X12,multiplicative_identity),true,sum(additive_identity,X13,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f640,f2554]) ).
fof(f7000,plain,
( spl0_242
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6996,f2552,f6998]) ).
fof(f6998,plain,
( spl0_242
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X12,additive_identity,multiplicative_identity),true,sum(X13,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f6996,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X12,additive_identity,multiplicative_identity),true,sum(X13,additive_identity,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f6952,f2]) ).
fof(f6952,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X12,additive_identity,multiplicative_identity),true,sum(X13,additive_identity,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f640,f2554]) ).
fof(f6991,plain,
( spl0_241
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6981,f57,f6989]) ).
fof(f6989,plain,
( spl0_241
<=> ! [X34,X35] : true = ifeq(product(X34,z,x),true,ifeq(product(X35,z,y),true,ifeq(sum(X35,X34,multiplicative_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f6981,plain,
( ! [X34,X35] : true = ifeq(product(X34,z,x),true,ifeq(product(X35,z,y),true,ifeq(sum(X35,X34,multiplicative_identity),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f640,f59]) ).
fof(f6947,plain,
( spl0_240
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6895,f28,f6945]) ).
fof(f6945,plain,
( spl0_240
<=> ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,z),true,ifeq(product(X33,multiplicative_identity,y),true,ifeq(sum(x,X33,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f6895,plain,
( ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,z),true,ifeq(product(X33,multiplicative_identity,y),true,ifeq(sum(x,X33,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f629,f30]) ).
fof(f629,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(product(X8,multiplicative_identity,X9),true,ifeq(sum(X5,X8,X6),true,sum(X5,X9,X7),true),true),true),
inference(forward_demodulation,[],[f583,f2]) ).
fof(f583,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(product(X8,multiplicative_identity,X9),true,ifeq(true,true,ifeq(sum(X5,X8,X6),true,sum(X5,X9,X7),true),true),true),true),
inference(superposition,[],[f13,f10]) ).
fof(f6942,plain,
( spl0_239
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6938,f57,f6940]) ).
fof(f6940,plain,
( spl0_239
<=> ! [X34,X35] : true = ifeq(product(z,multiplicative_identity,X34),true,ifeq(product(x,multiplicative_identity,X35),true,sum(y,X35,X34),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f6938,plain,
( ! [X34,X35] : true = ifeq(product(z,multiplicative_identity,X34),true,ifeq(product(x,multiplicative_identity,X35),true,sum(y,X35,X34),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f6884,f2]) ).
fof(f6884,plain,
( ! [X34,X35] : true = ifeq(product(z,multiplicative_identity,X34),true,ifeq(product(x,multiplicative_identity,X35),true,ifeq(true,true,sum(y,X35,X34),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f629,f59]) ).
fof(f6928,plain,
( spl0_238
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6896,f57,f6926]) ).
fof(f6926,plain,
( spl0_238
<=> ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,z),true,ifeq(product(X35,multiplicative_identity,x),true,ifeq(sum(y,X35,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f6896,plain,
( ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,z),true,ifeq(product(X35,multiplicative_identity,x),true,ifeq(sum(y,X35,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f629,f59]) ).
fof(f6924,plain,
( spl0_237
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6920,f28,f6922]) ).
fof(f6922,plain,
( spl0_237
<=> ! [X32,X33] : true = ifeq(product(z,multiplicative_identity,X32),true,ifeq(product(y,multiplicative_identity,X33),true,sum(x,X33,X32),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f6920,plain,
( ! [X32,X33] : true = ifeq(product(z,multiplicative_identity,X32),true,ifeq(product(y,multiplicative_identity,X33),true,sum(x,X33,X32),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f6883,f2]) ).
fof(f6883,plain,
( ! [X32,X33] : true = ifeq(product(z,multiplicative_identity,X32),true,ifeq(product(y,multiplicative_identity,X33),true,ifeq(true,true,sum(x,X33,X32),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f629,f30]) ).
fof(f6833,plain,
( spl0_236
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6782,f57,f6831]) ).
fof(f6831,plain,
( spl0_236
<=> ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,z),true,ifeq(product(X35,multiplicative_identity,y),true,ifeq(sum(X35,x,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f6782,plain,
( ! [X34,X35] : true = ifeq(product(X34,multiplicative_identity,z),true,ifeq(product(X35,multiplicative_identity,y),true,ifeq(sum(X35,x,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f628,f59]) ).
fof(f628,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(product(X8,multiplicative_identity,X9),true,ifeq(sum(X8,X5,X6),true,sum(X9,X5,X7),true),true),true),
inference(forward_demodulation,[],[f577,f2]) ).
fof(f577,plain,
! [X8,X6,X9,X7,X5] : true = ifeq(product(X6,multiplicative_identity,X7),true,ifeq(true,true,ifeq(product(X8,multiplicative_identity,X9),true,ifeq(sum(X8,X5,X6),true,sum(X9,X5,X7),true),true),true),true),
inference(superposition,[],[f13,f10]) ).
fof(f6827,plain,
( spl0_235
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6823,f28,f6825]) ).
fof(f6825,plain,
( spl0_235
<=> ! [X32,X33] : true = ifeq(product(z,multiplicative_identity,X32),true,ifeq(product(x,multiplicative_identity,X33),true,sum(X33,y,X32),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f6823,plain,
( ! [X32,X33] : true = ifeq(product(z,multiplicative_identity,X32),true,ifeq(product(x,multiplicative_identity,X33),true,sum(X33,y,X32),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f6769,f2]) ).
fof(f6769,plain,
( ! [X32,X33] : true = ifeq(product(z,multiplicative_identity,X32),true,ifeq(product(x,multiplicative_identity,X33),true,ifeq(true,true,sum(X33,y,X32),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f628,f30]) ).
fof(f6820,plain,
( spl0_234
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6816,f57,f6818]) ).
fof(f6818,plain,
( spl0_234
<=> ! [X34,X35] : true = ifeq(product(z,multiplicative_identity,X34),true,ifeq(product(y,multiplicative_identity,X35),true,sum(X35,x,X34),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f6816,plain,
( ! [X34,X35] : true = ifeq(product(z,multiplicative_identity,X34),true,ifeq(product(y,multiplicative_identity,X35),true,sum(X35,x,X34),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f6770,f2]) ).
fof(f6770,plain,
( ! [X34,X35] : true = ifeq(product(z,multiplicative_identity,X34),true,ifeq(product(y,multiplicative_identity,X35),true,ifeq(true,true,sum(X35,x,X34),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f628,f59]) ).
fof(f6793,plain,
( spl0_233
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6781,f28,f6791]) ).
fof(f6791,plain,
( spl0_233
<=> ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,z),true,ifeq(product(X33,multiplicative_identity,x),true,ifeq(sum(X33,y,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f6781,plain,
( ! [X32,X33] : true = ifeq(product(X32,multiplicative_identity,z),true,ifeq(product(X33,multiplicative_identity,x),true,ifeq(sum(X33,y,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f628,f30]) ).
fof(f6605,plain,
( spl0_232
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6563,f57,f6603]) ).
fof(f6603,plain,
( spl0_232
<=> ! [X34,X35] : true = ifeq(product(X34,x,z),true,ifeq(product(X35,x,y),true,ifeq(sum(X35,multiplicative_identity,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f6563,plain,
( ! [X34,X35] : true = ifeq(product(X34,x,z),true,ifeq(product(X35,x,y),true,ifeq(sum(X35,multiplicative_identity,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f612,f59]) ).
fof(f6592,plain,
( spl0_231
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6588,f2552,f6590]) ).
fof(f6590,plain,
( spl0_231
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,sum(X13,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f6588,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,sum(X13,additive_identity,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f6536,f2]) ).
fof(f6536,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(product(X12,additive_identity,X13),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,sum(X13,additive_identity,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f612,f2554]) ).
fof(f6583,plain,
( spl0_230
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6562,f28,f6581]) ).
fof(f6581,plain,
( spl0_230
<=> ! [X32,X33] : true = ifeq(product(X32,y,z),true,ifeq(product(X33,y,x),true,ifeq(sum(X33,multiplicative_identity,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f6562,plain,
( ! [X32,X33] : true = ifeq(product(X32,y,z),true,ifeq(product(X33,y,x),true,ifeq(sum(X33,multiplicative_identity,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f612,f30]) ).
fof(f6577,plain,
( spl0_229
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6573,f2552,f6575]) ).
fof(f6575,plain,
( spl0_229
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(additive_identity,multiplicative_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f6573,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(additive_identity,multiplicative_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f6543,f2]) ).
fof(f6543,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(true,true,ifeq(sum(additive_identity,multiplicative_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f612,f2554]) ).
fof(f6261,plain,
( spl0_228
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6219,f57,f6259]) ).
fof(f6259,plain,
( spl0_228
<=> ! [X23] : true = ifeq(product(multiplicative_identity,X23,x),true,ifeq(sum(y,X23,z),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f6219,plain,
( ! [X23] : true = ifeq(product(multiplicative_identity,X23,x),true,ifeq(sum(y,X23,z),true,true,true),true)
| ~ spl0_3 ),
inference(superposition,[],[f3210,f59]) ).
fof(f3210,plain,
! [X16,X14,X17,X15] : true = ifeq(product(multiplicative_identity,X15,X16),true,ifeq(sum(X17,X15,X14),true,sum(X17,X16,X14),true),true),
inference(forward_demodulation,[],[f3209,f385]) ).
fof(f3209,plain,
! [X16,X14,X17,X15] : true = ifeq(product(multiplicative_identity,X15,X16),true,ifeq(sum(X17,X15,X14),true,sum(X17,X16,multiply(X14,multiplicative_identity)),true),true),
inference(forward_demodulation,[],[f3176,f2]) ).
fof(f3176,plain,
! [X16,X14,X17,X15] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X15,X16),true,ifeq(sum(X17,X15,X14),true,sum(X17,X16,multiply(X14,multiplicative_identity)),true),true),true),
inference(superposition,[],[f234,f92]) ).
fof(f6257,plain,
( spl0_227
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6218,f28,f6255]) ).
fof(f6255,plain,
( spl0_227
<=> ! [X22] : true = ifeq(product(multiplicative_identity,X22,y),true,ifeq(sum(x,X22,z),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f6218,plain,
( ! [X22] : true = ifeq(product(multiplicative_identity,X22,y),true,ifeq(sum(x,X22,z),true,true,true),true)
| ~ spl0_1 ),
inference(superposition,[],[f3210,f30]) ).
fof(f6251,plain,
( spl0_226
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6247,f28,f6249]) ).
fof(f6249,plain,
( spl0_226
<=> ! [X22] : true = ifeq(product(multiplicative_identity,y,X22),true,sum(x,X22,z),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f6247,plain,
( ! [X22] : true = ifeq(product(multiplicative_identity,y,X22),true,sum(x,X22,z),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f6206,f2]) ).
fof(f6206,plain,
( ! [X22] : true = ifeq(product(multiplicative_identity,y,X22),true,ifeq(true,true,sum(x,X22,z),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f3210,f30]) ).
fof(f6243,plain,
( spl0_225
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6239,f57,f6241]) ).
fof(f6241,plain,
( spl0_225
<=> ! [X23] : true = ifeq(product(multiplicative_identity,x,X23),true,sum(y,X23,z),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f6239,plain,
( ! [X23] : true = ifeq(product(multiplicative_identity,x,X23),true,sum(y,X23,z),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f6207,f2]) ).
fof(f6207,plain,
( ! [X23] : true = ifeq(product(multiplicative_identity,x,X23),true,ifeq(true,true,sum(y,X23,z),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f3210,f59]) ).
fof(f6136,plain,
( spl0_224
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6132,f2552,f6134]) ).
fof(f6134,plain,
( spl0_224
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(multiplicative_identity,X12,additive_identity),true,sum(additive_identity,X13,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f6132,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(multiplicative_identity,X12,additive_identity),true,sum(additive_identity,X13,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f6065,f2]) ).
fof(f6065,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(product(X12,additive_identity,X13),true,ifeq(sum(multiplicative_identity,X12,additive_identity),true,sum(additive_identity,X13,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f611,f2554]) ).
fof(f6121,plain,
( spl0_223
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6117,f2552,f6119]) ).
fof(f6119,plain,
( spl0_223
<=> ! [X13,X12] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(multiplicative_identity,additive_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f6117,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(sum(multiplicative_identity,additive_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f6072,f2]) ).
fof(f6072,plain,
( ! [X12,X13] : true = ifeq(product(X12,additive_identity,X13),true,ifeq(true,true,ifeq(sum(multiplicative_identity,additive_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f611,f2554]) ).
fof(f6106,plain,
( spl0_222
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6092,f57,f6104]) ).
fof(f6104,plain,
( spl0_222
<=> ! [X34,X35] : true = ifeq(product(X34,y,z),true,ifeq(product(X35,y,x),true,ifeq(sum(multiplicative_identity,X35,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f6092,plain,
( ! [X34,X35] : true = ifeq(product(X34,y,z),true,ifeq(product(X35,y,x),true,ifeq(sum(multiplicative_identity,X35,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f611,f59]) ).
fof(f6100,plain,
( spl0_221
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6091,f28,f6098]) ).
fof(f6098,plain,
( spl0_221
<=> ! [X32,X33] : true = ifeq(product(X32,x,z),true,ifeq(product(X33,x,y),true,ifeq(sum(multiplicative_identity,X33,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f6091,plain,
( ! [X32,X33] : true = ifeq(product(X32,x,z),true,ifeq(product(X33,x,y),true,ifeq(sum(multiplicative_identity,X33,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f611,f30]) ).
fof(f6034,plain,
( spl0_220
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6030,f2552,f6032]) ).
fof(f6032,plain,
( spl0_220
<=> ! [X2] : true = ifeq(product(additive_identity,multiplicative_identity,X2),true,sum(additive_identity,additive_identity,X2),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f6030,plain,
( ! [X2] : true = ifeq(product(additive_identity,multiplicative_identity,X2),true,sum(additive_identity,additive_identity,X2),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f5996,f2]) ).
fof(f5996,plain,
( ! [X2] : true = ifeq(product(additive_identity,multiplicative_identity,X2),true,ifeq(true,true,sum(additive_identity,additive_identity,X2),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1733,f2554]) ).
fof(f5889,plain,
( spl0_219
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5844,f28,f5887]) ).
fof(f5887,plain,
( spl0_219
<=> ! [X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(additive_identity,X33,y),true,ifeq(product(X32,X33,x),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f5844,plain,
( ! [X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(additive_identity,X33,y),true,ifeq(product(X32,X33,x),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f606,f30]) ).
fof(f5885,plain,
( spl0_218
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f5881,f2552,f5883]) ).
fof(f5883,plain,
( spl0_218
<=> ! [X4,X5,X3] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,sum(X5,additive_identity,X4),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f5881,plain,
( ! [X3,X4,X5] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(product(X3,additive_identity,X5),true,sum(X5,additive_identity,X4),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f5823,f2]) ).
fof(f5823,plain,
( ! [X3,X4,X5] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(true,true,ifeq(product(X3,additive_identity,X5),true,sum(X5,additive_identity,X4),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f606,f2554]) ).
fof(f5880,plain,
( spl0_217
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f5876,f5174,f5878]) ).
fof(f5878,plain,
( spl0_217
<=> ! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f5174,plain,
( spl0_197
<=> ! [X20,X21] : true = ifeq(product(additive_identity,X21,X20),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f5876,plain,
( ! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,true,true)
| ~ spl0_197 ),
inference(forward_demodulation,[],[f5875,f5175]) ).
fof(f5175,plain,
( ! [X21,X20] : true = ifeq(product(additive_identity,X21,X20),true,true,true)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f5174]) ).
fof(f5875,plain,
! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(additive_identity,X2,X0),true,true,true),true),
inference(forward_demodulation,[],[f5834,f4756]) ).
fof(f4756,plain,
! [X2,X1] : true = ifeq(product(X1,X2,additive_identity),true,true,true),
inference(forward_demodulation,[],[f4718,f2]) ).
fof(f4718,plain,
! [X2,X1] : true = ifeq(product(X1,X2,additive_identity),true,ifeq(true,true,true,true),true),
inference(superposition,[],[f4705,f8]) ).
fof(f4705,plain,
! [X3,X4,X5] : true = ifeq(product(X3,X4,X5),true,ifeq(sum(X3,X5,X3),true,true,true),true),
inference(forward_demodulation,[],[f4655,f4094]) ).
fof(f4094,plain,
! [X0] : true = ifeq(sum(multiplicative_identity,X0,multiplicative_identity),true,true,true),
inference(forward_demodulation,[],[f4078,f2]) ).
fof(f4078,plain,
! [X0] : true = ifeq(true,true,ifeq(sum(multiplicative_identity,X0,multiplicative_identity),true,true,true),true),
inference(superposition,[],[f3109,f9]) ).
fof(f4655,plain,
! [X3,X4,X5] : true = ifeq(product(X3,X4,X5),true,ifeq(sum(X3,X5,X3),true,ifeq(sum(multiplicative_identity,X4,multiplicative_identity),true,true,true),true),true),
inference(superposition,[],[f312,f10]) ).
fof(f5834,plain,
! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(additive_identity,X2,X0),true,ifeq(product(X1,X2,additive_identity),true,true,true),true),true),
inference(superposition,[],[f606,f7]) ).
fof(f5871,plain,
( spl0_216
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5845,f57,f5869]) ).
fof(f5869,plain,
( spl0_216
<=> ! [X34,X35] : true = ifeq(product(X34,X35,z),true,ifeq(product(additive_identity,X35,x),true,ifeq(product(X34,X35,y),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f5845,plain,
( ! [X34,X35] : true = ifeq(product(X34,X35,z),true,ifeq(product(additive_identity,X35,x),true,ifeq(product(X34,X35,y),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f606,f59]) ).
fof(f5748,plain,
( spl0_215
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f5744,f2552,f5746]) ).
fof(f5746,plain,
( spl0_215
<=> ! [X6,X8,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(sum(additive_identity,X7,X8),true,product(additive_identity,X6,X8),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f5744,plain,
( ! [X8,X6,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(sum(additive_identity,X7,X8),true,product(additive_identity,X6,X8),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f5690,f2]) ).
fof(f5690,plain,
( ! [X8,X6,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(true,true,ifeq(sum(additive_identity,X7,X8),true,product(additive_identity,X6,X8),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f348,f2554]) ).
fof(f5743,plain,
( spl0_214
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5739,f57,f5741]) ).
fof(f5741,plain,
( spl0_214
<=> ! [X34,X35] : true = ifeq(product(X34,X35,x),true,ifeq(product(X34,additive_identity,y),true,product(X34,X35,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f5739,plain,
( ! [X34,X35] : true = ifeq(product(X34,X35,x),true,ifeq(product(X34,additive_identity,y),true,product(X34,X35,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f5704,f2]) ).
fof(f5704,plain,
( ! [X34,X35] : true = ifeq(product(X34,X35,x),true,ifeq(product(X34,additive_identity,y),true,ifeq(true,true,product(X34,X35,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f348,f59]) ).
fof(f5730,plain,
( spl0_213
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5726,f28,f5728]) ).
fof(f5728,plain,
( spl0_213
<=> ! [X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(product(X32,additive_identity,x),true,product(X32,X33,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f5726,plain,
( ! [X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(product(X32,additive_identity,x),true,product(X32,X33,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5703,f2]) ).
fof(f5703,plain,
( ! [X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(product(X32,additive_identity,x),true,ifeq(true,true,product(X32,X33,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f348,f30]) ).
fof(f5556,plain,
( spl0_212
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5552,f57,f5554]) ).
fof(f5554,plain,
( spl0_212
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,x),true,ifeq(sum(y,X34,X35),true,product(multiplicative_identity,X35,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f5552,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,x),true,ifeq(sum(y,X34,X35),true,product(multiplicative_identity,X35,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f5497,f2]) ).
fof(f5497,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,x),true,ifeq(true,true,ifeq(sum(y,X34,X35),true,product(multiplicative_identity,X35,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f326,f59]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(sum(X0,X2,X3),true,ifeq(sum(X0,X1,X4),true,product(multiplicative_identity,X4,X3),true),true),true),
inference(forward_demodulation,[],[f280,f2]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(true,true,ifeq(sum(X0,X2,X3),true,ifeq(sum(X0,X1,X4),true,product(multiplicative_identity,X4,X3),true),true),true),true),
inference(superposition,[],[f12,f9]) ).
fof(f5550,plain,
( spl0_211
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5546,f57,f5548]) ).
fof(f5548,plain,
( spl0_211
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,x,X34),true,ifeq(sum(y,X34,X35),true,product(multiplicative_identity,z,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f5546,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,x,X34),true,ifeq(sum(y,X34,X35),true,product(multiplicative_identity,z,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f5509,f2]) ).
fof(f5509,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,x,X34),true,ifeq(sum(y,X34,X35),true,ifeq(true,true,product(multiplicative_identity,z,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f326,f59]) ).
fof(f5541,plain,
( spl0_210
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5537,f28,f5539]) ).
fof(f5539,plain,
( spl0_210
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,y),true,ifeq(sum(x,X32,X33),true,product(multiplicative_identity,X33,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f5537,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,y),true,ifeq(sum(x,X32,X33),true,product(multiplicative_identity,X33,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5496,f2]) ).
fof(f5496,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,y),true,ifeq(true,true,ifeq(sum(x,X32,X33),true,product(multiplicative_identity,X33,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f326,f30]) ).
fof(f5534,plain,
( spl0_209
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5530,f28,f5532]) ).
fof(f5532,plain,
( spl0_209
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,y,X32),true,ifeq(sum(x,X32,X33),true,product(multiplicative_identity,z,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f5530,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,y,X32),true,ifeq(sum(x,X32,X33),true,product(multiplicative_identity,z,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5508,f2]) ).
fof(f5508,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,y,X32),true,ifeq(sum(x,X32,X33),true,ifeq(true,true,product(multiplicative_identity,z,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f326,f30]) ).
fof(f5412,plain,
( spl0_208
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f5404,f5169,f5410]) ).
fof(f5410,plain,
( spl0_208
<=> ! [X18,X20,X17,X19] : true = ifeq(product(multiply(X17,X18),X20,X20),true,ifeq(product(multiply(X17,X18),X18,X19),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f5169,plain,
( spl0_196
<=> ! [X16,X14,X15] : true = ifeq(product(multiply(X14,X15),X16,X15),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f5404,plain,
( ! [X18,X19,X17,X20] : true = ifeq(product(multiply(X17,X18),X20,X20),true,ifeq(product(multiply(X17,X18),X18,X19),true,true,true),true)
| ~ spl0_196 ),
inference(superposition,[],[f231,f5170]) ).
fof(f5170,plain,
( ! [X16,X14,X15] : true = ifeq(product(multiply(X14,X15),X16,X15),true,true,true)
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f5169]) ).
fof(f231,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X3,X2,X2),true,ifeq(product(X3,X1,X0),true,ifeq(product(X3,X0,X1),true,true,true),true),true),
inference(superposition,[],[f11,f5]) ).
fof(f5383,plain,
( spl0_207
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5379,f28,f5381]) ).
fof(f5381,plain,
( spl0_207
<=> ! [X32,X33] : true = ifeq(product(X32,y,additive_identity),true,ifeq(product(X32,x,X33),true,product(X32,z,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f5379,plain,
( ! [X32,X33] : true = ifeq(product(X32,y,additive_identity),true,ifeq(product(X32,x,X33),true,product(X32,z,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5348,f2]) ).
fof(f5348,plain,
( ! [X32,X33] : true = ifeq(product(X32,y,additive_identity),true,ifeq(product(X32,x,X33),true,ifeq(true,true,product(X32,z,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f323,f30]) ).
fof(f5377,plain,
( spl0_206
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f5373,f2552,f5375]) ).
fof(f5375,plain,
( spl0_206
<=> ! [X9,X8,X10] : true = ifeq(product(additive_identity,X8,X9),true,ifeq(sum(X8,additive_identity,X10),true,product(additive_identity,X10,X9),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f5373,plain,
( ! [X10,X8,X9] : true = ifeq(product(additive_identity,X8,X9),true,ifeq(sum(X8,additive_identity,X10),true,product(additive_identity,X10,X9),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f5328,f2]) ).
fof(f5328,plain,
( ! [X10,X8,X9] : true = ifeq(true,true,ifeq(product(additive_identity,X8,X9),true,ifeq(sum(X8,additive_identity,X10),true,product(additive_identity,X10,X9),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f323,f2554]) ).
fof(f5371,plain,
( spl0_205
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5367,f57,f5369]) ).
fof(f5369,plain,
( spl0_205
<=> ! [X34,X35] : true = ifeq(product(X34,x,additive_identity),true,ifeq(product(X34,y,X35),true,product(X34,z,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f5367,plain,
( ! [X34,X35] : true = ifeq(product(X34,x,additive_identity),true,ifeq(product(X34,y,X35),true,product(X34,z,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f5349,f2]) ).
fof(f5349,plain,
( ! [X34,X35] : true = ifeq(product(X34,x,additive_identity),true,ifeq(product(X34,y,X35),true,ifeq(true,true,product(X34,z,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f323,f59]) ).
fof(f5324,plain,
( spl0_204
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f5317,f5164,f5322]) ).
fof(f5322,plain,
( spl0_204
<=> ! [X18,X17,X16,X15] : true = ifeq(product(multiply(X15,X16),X18,X18),true,ifeq(product(multiply(X15,X16),X15,X17),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f5164,plain,
( spl0_195
<=> ! [X18,X17,X19] : true = ifeq(product(multiply(X17,X18),X19,X17),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f5317,plain,
( ! [X18,X16,X17,X15] : true = ifeq(product(multiply(X15,X16),X18,X18),true,ifeq(product(multiply(X15,X16),X15,X17),true,true,true),true)
| ~ spl0_195 ),
inference(superposition,[],[f231,f5165]) ).
fof(f5165,plain,
( ! [X18,X19,X17] : true = ifeq(product(multiply(X17,X18),X19,X17),true,true,true)
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f5164]) ).
fof(f5299,plain,
( spl0_203
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5295,f57,f5297]) ).
fof(f5297,plain,
( spl0_203
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,y),true,ifeq(sum(X34,x,X35),true,product(multiplicative_identity,X35,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f5295,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,y),true,ifeq(sum(X34,x,X35),true,product(multiplicative_identity,X35,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f5231,f2]) ).
fof(f5231,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,y),true,ifeq(true,true,ifeq(sum(X34,x,X35),true,product(multiplicative_identity,X35,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f322,f59]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(sum(X2,X0,X3),true,ifeq(sum(X1,X0,X4),true,product(multiplicative_identity,X4,X3),true),true),true),
inference(forward_demodulation,[],[f274,f2]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X1,X2),true,ifeq(sum(X2,X0,X3),true,ifeq(sum(X1,X0,X4),true,product(multiplicative_identity,X4,X3),true),true),true),true),
inference(superposition,[],[f12,f9]) ).
fof(f5287,plain,
( spl0_202
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5283,f57,f5285]) ).
fof(f5285,plain,
( spl0_202
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,y,X34),true,ifeq(sum(X34,x,X35),true,product(multiplicative_identity,z,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f5283,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,y,X34),true,ifeq(sum(X34,x,X35),true,product(multiplicative_identity,z,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f5243,f2]) ).
fof(f5243,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,y,X34),true,ifeq(sum(X34,x,X35),true,ifeq(true,true,product(multiplicative_identity,z,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f322,f59]) ).
fof(f5277,plain,
( spl0_201
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5273,f28,f5275]) ).
fof(f5275,plain,
( spl0_201
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,x),true,ifeq(sum(X32,y,X33),true,product(multiplicative_identity,X33,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f5273,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,x),true,ifeq(sum(X32,y,X33),true,product(multiplicative_identity,X33,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5230,f2]) ).
fof(f5230,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,x),true,ifeq(true,true,ifeq(sum(X32,y,X33),true,product(multiplicative_identity,X33,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f322,f30]) ).
fof(f5267,plain,
( spl0_200
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f5263,f389,f5265]) ).
fof(f5265,plain,
( spl0_200
<=> ! [X9,X8,X7] : true = ifeq(sum(additive_identity,X7,X8),true,ifeq(sum(additive_identity,X7,X9),true,product(multiplicative_identity,X9,X8),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f5263,plain,
( ! [X8,X9,X7] : true = ifeq(sum(additive_identity,X7,X8),true,ifeq(sum(additive_identity,X7,X9),true,product(multiplicative_identity,X9,X8),true),true)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f5262,f391]) ).
fof(f5262,plain,
! [X8,X9,X7] : true = ifeq(sum(additive_identity,X7,X8),true,ifeq(sum(inverse(multiplicative_identity),X7,X9),true,product(multiplicative_identity,X9,X8),true),true),
inference(forward_demodulation,[],[f5217,f2]) ).
fof(f5217,plain,
! [X8,X9,X7] : true = ifeq(true,true,ifeq(sum(additive_identity,X7,X8),true,ifeq(sum(inverse(multiplicative_identity),X7,X9),true,product(multiplicative_identity,X9,X8),true),true),true),
inference(superposition,[],[f322,f22]) ).
fof(f5261,plain,
( spl0_199
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5257,f28,f5259]) ).
fof(f5259,plain,
( spl0_199
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,x,X32),true,ifeq(sum(X32,y,X33),true,product(multiplicative_identity,z,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f5257,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,x,X32),true,ifeq(sum(X32,y,X33),true,product(multiplicative_identity,z,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5242,f2]) ).
fof(f5242,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,x,X32),true,ifeq(sum(X32,y,X33),true,ifeq(true,true,product(multiplicative_identity,z,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f322,f30]) ).
fof(f5213,plain,
( spl0_198
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f5206,f5155,f5211]) ).
fof(f5211,plain,
( spl0_198
<=> ! [X11,X12,X13] : true = ifeq(product(X11,X13,X13),true,ifeq(product(X11,multiplicative_identity,X12),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f5155,plain,
( spl0_194
<=> ! [X0,X1] : true = ifeq(product(X0,X1,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f5206,plain,
( ! [X11,X12,X13] : true = ifeq(product(X11,X13,X13),true,ifeq(product(X11,multiplicative_identity,X12),true,true,true),true)
| ~ spl0_194 ),
inference(superposition,[],[f231,f5156]) ).
fof(f5156,plain,
( ! [X0,X1] : true = ifeq(product(X0,X1,multiplicative_identity),true,true,true)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f5155]) ).
fof(f5176,plain,
( spl0_197
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5145,f2772,f5174]) ).
fof(f2772,plain,
( spl0_116
<=> ! [X15] : true = ifeq(product(additive_identity,additive_identity,X15),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f5145,plain,
( ! [X21,X20] : true = ifeq(product(additive_identity,X21,X20),true,true,true)
| ~ spl0_116 ),
inference(superposition,[],[f4757,f2773]) ).
fof(f2773,plain,
( ! [X15] : true = ifeq(product(additive_identity,additive_identity,X15),true,true,true)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f2772]) ).
fof(f4757,plain,
! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,additive_identity,X0),true,true,true),true),
inference(backward_demodulation,[],[f4225,f4756]) ).
fof(f4225,plain,
! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,additive_identity,X0),true,ifeq(product(X1,X2,additive_identity),true,true,true),true),true),
inference(superposition,[],[f262,f7]) ).
fof(f5171,plain,
( spl0_196
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f5143,f5043,f5169]) ).
fof(f5043,plain,
( spl0_189
<=> ! [X25,X26] : true = ifeq(product(multiply(X26,X25),additive_identity,X25),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f5143,plain,
( ! [X16,X14,X15] : true = ifeq(product(multiply(X14,X15),X16,X15),true,true,true)
| ~ spl0_189 ),
inference(superposition,[],[f4757,f5044]) ).
fof(f5044,plain,
( ! [X26,X25] : true = ifeq(product(multiply(X26,X25),additive_identity,X25),true,true,true)
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f5043]) ).
fof(f5166,plain,
( spl0_195
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f5144,f5068,f5164]) ).
fof(f5068,plain,
( spl0_191
<=> ! [X25,X24] : true = ifeq(product(multiply(X24,X25),additive_identity,X24),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f5144,plain,
( ! [X18,X19,X17] : true = ifeq(product(multiply(X17,X18),X19,X17),true,true,true)
| ~ spl0_191 ),
inference(superposition,[],[f4757,f5069]) ).
fof(f5069,plain,
( ! [X24,X25] : true = ifeq(product(multiply(X24,X25),additive_identity,X24),true,true,true)
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f5068]) ).
fof(f5157,plain,
( spl0_194
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f5137,f4896,f5155]) ).
fof(f4896,plain,
( spl0_182
<=> ! [X19] : true = ifeq(product(X19,additive_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f5137,plain,
( ! [X0,X1] : true = ifeq(product(X0,X1,multiplicative_identity),true,true,true)
| ~ spl0_182 ),
inference(superposition,[],[f4757,f4897]) ).
fof(f4897,plain,
( ! [X19] : true = ifeq(product(X19,additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f4896]) ).
fof(f5100,plain,
( spl0_193
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f5095,f5064,f5098]) ).
fof(f5098,plain,
( spl0_193
<=> ! [X9,X11,X10] : true = ifeq(product(multiply(X9,X10),X11,X11),true,ifeq(product(multiply(X9,X10),X9,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f5064,plain,
( spl0_190
<=> ! [X27,X26] : true = ifeq(product(multiply(X26,X27),multiplicative_identity,X26),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f5095,plain,
( ! [X10,X11,X9] : true = ifeq(product(multiply(X9,X10),X11,X11),true,ifeq(product(multiply(X9,X10),X9,multiplicative_identity),true,true,true),true)
| ~ spl0_190 ),
inference(superposition,[],[f231,f5065]) ).
fof(f5065,plain,
( ! [X26,X27] : true = ifeq(product(multiply(X26,X27),multiplicative_identity,X26),true,true,true)
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f5064]) ).
fof(f5084,plain,
( spl0_192
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f5080,f5039,f5082]) ).
fof(f5082,plain,
( spl0_192
<=> ! [X9,X8,X10] : true = ifeq(product(multiply(X8,X9),X10,X10),true,ifeq(product(multiply(X8,X9),X9,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f5039,plain,
( spl0_188
<=> ! [X27,X28] : true = ifeq(product(multiply(X28,X27),multiplicative_identity,X27),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f5080,plain,
( ! [X10,X8,X9] : true = ifeq(product(multiply(X8,X9),X10,X10),true,ifeq(product(multiply(X8,X9),X9,multiplicative_identity),true,true,true),true)
| ~ spl0_188 ),
inference(superposition,[],[f231,f5040]) ).
fof(f5040,plain,
( ! [X28,X27] : true = ifeq(product(multiply(X28,X27),multiplicative_identity,X27),true,true,true)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f5039]) ).
fof(f5070,plain,
( spl0_191
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f5061,f2687,f5068]) ).
fof(f2687,plain,
( spl0_102
<=> ! [X6,X7] : true = ifeq(product(X6,additive_identity,X7),true,ifeq(product(X7,additive_identity,X6),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f5061,plain,
( ! [X24,X25] : true = ifeq(product(multiply(X24,X25),additive_identity,X24),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f5010]) ).
fof(f5010,plain,
! [X2,X3,X1] : true = ifeq(product(X1,X3,multiply(X1,X2)),true,true,true),
inference(superposition,[],[f4705,f4755]) ).
fof(f4755,plain,
! [X4,X5] : true = ifeq(sum(X4,multiply(X4,X5),X4),true,true,true),
inference(forward_demodulation,[],[f4715,f2]) ).
fof(f4715,plain,
! [X4,X5] : true = ifeq(true,true,ifeq(sum(X4,multiply(X4,X5),X4),true,true,true),true),
inference(superposition,[],[f4705,f4]) ).
fof(f2688,plain,
( ! [X6,X7] : true = ifeq(product(X6,additive_identity,X7),true,ifeq(product(X7,additive_identity,X6),true,true,true),true)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f5066,plain,
( spl0_190
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f5062,f1295,f5064]) ).
fof(f1295,plain,
( spl0_42
<=> ! [X6,X5] : true = ifeq(product(X5,multiplicative_identity,X6),true,ifeq(product(X6,multiplicative_identity,X5),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f5062,plain,
( ! [X26,X27] : true = ifeq(product(multiply(X26,X27),multiplicative_identity,X26),true,true,true)
| ~ spl0_42 ),
inference(superposition,[],[f1296,f5010]) ).
fof(f1296,plain,
( ! [X6,X5] : true = ifeq(product(X5,multiplicative_identity,X6),true,ifeq(product(X6,multiplicative_identity,X5),true,true,true),true)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f5045,plain,
( spl0_189
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f5036,f2687,f5043]) ).
fof(f5036,plain,
( ! [X26,X25] : true = ifeq(product(multiply(X26,X25),additive_identity,X25),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f4917]) ).
fof(f4917,plain,
! [X2,X0,X1] : true = ifeq(product(X0,X2,multiply(X1,X0)),true,true,true),
inference(superposition,[],[f4705,f4729]) ).
fof(f4729,plain,
! [X6,X7] : true = ifeq(sum(X6,multiply(X7,X6),X6),true,true,true),
inference(forward_demodulation,[],[f4716,f2]) ).
fof(f4716,plain,
! [X6,X7] : true = ifeq(true,true,ifeq(sum(X6,multiply(X7,X6),X6),true,true,true),true),
inference(superposition,[],[f4705,f92]) ).
fof(f5041,plain,
( spl0_188
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f5037,f1295,f5039]) ).
fof(f5037,plain,
( ! [X28,X27] : true = ifeq(product(multiply(X28,X27),multiplicative_identity,X27),true,true,true)
| ~ spl0_42 ),
inference(superposition,[],[f1296,f4917]) ).
fof(f5001,plain,
( spl0_187
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4955,f2552,f4999]) ).
fof(f4999,plain,
( spl0_187
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,additive_identity),true,ifeq(product(additive_identity,X13,additive_identity),true,ifeq(sum(X13,X12,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f4955,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,additive_identity),true,ifeq(product(additive_identity,X13,additive_identity),true,ifeq(sum(X13,X12,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f320,f2554]) ).
fof(f4996,plain,
( spl0_186
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4992,f28,f4994]) ).
fof(f4994,plain,
( spl0_186
<=> ! [X32,X33] : true = ifeq(product(X32,y,X33),true,ifeq(product(X32,x,additive_identity),true,product(X32,z,X33),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f4992,plain,
( ! [X32,X33] : true = ifeq(product(X32,y,X33),true,ifeq(product(X32,x,additive_identity),true,product(X32,z,X33),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4949,f2]) ).
fof(f4949,plain,
( ! [X32,X33] : true = ifeq(product(X32,y,X33),true,ifeq(product(X32,x,additive_identity),true,ifeq(true,true,product(X32,z,X33),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f320,f30]) ).
fof(f4991,plain,
( spl0_185
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4987,f2552,f4989]) ).
fof(f4989,plain,
( spl0_185
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,additive_identity),true,ifeq(sum(X12,additive_identity,X13),true,product(additive_identity,X13,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f4987,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,additive_identity),true,ifeq(sum(X12,additive_identity,X13),true,product(additive_identity,X13,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4931,f2]) ).
fof(f4931,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(product(additive_identity,X12,additive_identity),true,ifeq(sum(X12,additive_identity,X13),true,product(additive_identity,X13,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f320,f2554]) ).
fof(f4978,plain,
( spl0_184
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4974,f2552,f4976]) ).
fof(f4976,plain,
( spl0_184
<=> ! [X9,X8,X10] : true = ifeq(product(additive_identity,X8,X9),true,ifeq(sum(additive_identity,X8,X10),true,product(additive_identity,X10,X9),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f4974,plain,
( ! [X10,X8,X9] : true = ifeq(product(additive_identity,X8,X9),true,ifeq(sum(additive_identity,X8,X10),true,product(additive_identity,X10,X9),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4936,f2]) ).
fof(f4936,plain,
( ! [X10,X8,X9] : true = ifeq(product(additive_identity,X8,X9),true,ifeq(true,true,ifeq(sum(additive_identity,X8,X10),true,product(additive_identity,X10,X9),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f320,f2554]) ).
fof(f4973,plain,
( spl0_183
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4969,f57,f4971]) ).
fof(f4971,plain,
( spl0_183
<=> ! [X34,X35] : true = ifeq(product(X34,x,X35),true,ifeq(product(X34,y,additive_identity),true,product(X34,z,X35),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f4969,plain,
( ! [X34,X35] : true = ifeq(product(X34,x,X35),true,ifeq(product(X34,y,additive_identity),true,product(X34,z,X35),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4950,f2]) ).
fof(f4950,plain,
( ! [X34,X35] : true = ifeq(product(X34,x,X35),true,ifeq(product(X34,y,additive_identity),true,ifeq(true,true,product(X34,z,X35),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f320,f59]) ).
fof(f4898,plain,
( spl0_182
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4892,f2687,f4896]) ).
fof(f4892,plain,
( ! [X19] : true = ifeq(product(X19,additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f4724]) ).
fof(f4724,plain,
! [X2,X3] : true = ifeq(product(multiplicative_identity,X3,X2),true,true,true),
inference(superposition,[],[f4705,f4094]) ).
fof(f4879,plain,
spl0_177,
inference(avatar_split_clause,[],[f4878,f4829]) ).
fof(f4829,plain,
( spl0_177
<=> ! [X18,X17,X19] : true = ifeq(product(X17,additive_identity,X18),true,ifeq(sum(X18,X17,X19),true,product(X17,multiplicative_identity,X19),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f4878,plain,
! [X3,X4,X5] : true = ifeq(product(X3,additive_identity,X4),true,ifeq(sum(X4,X3,X5),true,product(X3,multiplicative_identity,X5),true),true),
inference(forward_demodulation,[],[f4877,f385]) ).
fof(f4877,plain,
! [X3,X4,X5] : true = ifeq(product(X3,multiply(additive_identity,multiplicative_identity),X4),true,ifeq(sum(X4,X3,X5),true,product(X3,multiplicative_identity,X5),true),true),
inference(forward_demodulation,[],[f4876,f699]) ).
fof(f4876,plain,
! [X3,X4,X5] : true = ifeq(product(X3,multiply(multiplicative_identity,additive_identity),X4),true,ifeq(sum(X4,X3,X5),true,product(X3,multiplicative_identity,X5),true),true),
inference(forward_demodulation,[],[f4812,f2]) ).
fof(f4812,plain,
! [X3,X4,X5] : true = ifeq(product(X3,multiply(multiplicative_identity,additive_identity),X4),true,ifeq(sum(X4,X3,X5),true,ifeq(true,true,product(X3,multiplicative_identity,X5),true),true),true),
inference(superposition,[],[f313,f2441]) ).
fof(f4873,plain,
( spl0_181
| ~ spl0_92
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f4869,f2725,f2552,f4871]) ).
fof(f4871,plain,
( spl0_181
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X13,additive_identity,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f4869,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X13,additive_identity,additive_identity),true,true,true),true)
| ~ spl0_92
| ~ spl0_109 ),
inference(forward_demodulation,[],[f4821,f2726]) ).
fof(f4821,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X13,additive_identity,additive_identity),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f313,f2554]) ).
fof(f4863,plain,
spl0_177,
inference(avatar_split_clause,[],[f4862,f4829]) ).
fof(f4862,plain,
! [X2,X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(sum(X1,X0,X2),true,product(X0,multiplicative_identity,X2),true),true),
inference(forward_demodulation,[],[f4811,f2]) ).
fof(f4811,plain,
! [X2,X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(sum(X1,X0,X2),true,ifeq(true,true,product(X0,multiplicative_identity,X2),true),true),true),
inference(superposition,[],[f313,f7]) ).
fof(f4861,plain,
( spl0_180
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4857,f57,f4859]) ).
fof(f4859,plain,
( spl0_180
<=> ! [X34,X35] : true = ifeq(product(x,X34,y),true,ifeq(sum(X34,multiplicative_identity,X35),true,product(x,X35,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f4857,plain,
( ! [X34,X35] : true = ifeq(product(x,X34,y),true,ifeq(sum(X34,multiplicative_identity,X35),true,product(x,X35,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4810,f2]) ).
fof(f4810,plain,
( ! [X34,X35] : true = ifeq(product(x,X34,y),true,ifeq(true,true,ifeq(sum(X34,multiplicative_identity,X35),true,product(x,X35,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f313,f59]) ).
fof(f4856,plain,
spl0_177,
inference(avatar_split_clause,[],[f4855,f4829]) ).
fof(f4855,plain,
! [X8,X6,X7] : true = ifeq(product(X6,additive_identity,X7),true,ifeq(sum(X7,X6,X8),true,product(X6,multiplicative_identity,X8),true),true),
inference(forward_demodulation,[],[f4854,f385]) ).
fof(f4854,plain,
! [X8,X6,X7] : true = ifeq(product(X6,multiply(additive_identity,multiplicative_identity),X7),true,ifeq(sum(X7,X6,X8),true,product(X6,multiplicative_identity,X8),true),true),
inference(forward_demodulation,[],[f4813,f2]) ).
fof(f4813,plain,
! [X8,X6,X7] : true = ifeq(product(X6,multiply(additive_identity,multiplicative_identity),X7),true,ifeq(sum(X7,X6,X8),true,ifeq(true,true,product(X6,multiplicative_identity,X8),true),true),true),
inference(superposition,[],[f313,f2442]) ).
fof(f4846,plain,
( spl0_179
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4842,f2552,f4844]) ).
fof(f4844,plain,
( spl0_179
<=> ! [X13,X12] : true = ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,multiplicative_identity,X13),true,product(additive_identity,X13,X12),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f4842,plain,
( ! [X12,X13] : true = ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,multiplicative_identity,X13),true,product(additive_identity,X13,X12),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4796,f2]) ).
fof(f4796,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,multiplicative_identity,X13),true,product(additive_identity,X13,X12),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f313,f2554]) ).
fof(f4837,plain,
( spl0_178
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4833,f28,f4835]) ).
fof(f4835,plain,
( spl0_178
<=> ! [X32,X33] : true = ifeq(product(y,X32,x),true,ifeq(sum(X32,multiplicative_identity,X33),true,product(y,X33,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f4833,plain,
( ! [X32,X33] : true = ifeq(product(y,X32,x),true,ifeq(sum(X32,multiplicative_identity,X33),true,product(y,X33,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4809,f2]) ).
fof(f4809,plain,
( ! [X32,X33] : true = ifeq(product(y,X32,x),true,ifeq(true,true,ifeq(sum(X32,multiplicative_identity,X33),true,product(y,X33,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f313,f30]) ).
fof(f4831,plain,
( spl0_177
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f4827,f389,f4829]) ).
fof(f4827,plain,
( ! [X18,X19,X17] : true = ifeq(product(X17,additive_identity,X18),true,ifeq(sum(X18,X17,X19),true,product(X17,multiplicative_identity,X19),true),true)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f4826,f391]) ).
fof(f4826,plain,
! [X18,X19,X17] : true = ifeq(product(X17,inverse(multiplicative_identity),X18),true,ifeq(sum(X18,X17,X19),true,product(X17,multiplicative_identity,X19),true),true),
inference(forward_demodulation,[],[f4816,f2]) ).
fof(f4816,plain,
! [X18,X19,X17] : true = ifeq(product(X17,inverse(multiplicative_identity),X18),true,ifeq(sum(X18,X17,X19),true,ifeq(true,true,product(X17,multiplicative_identity,X19),true),true),true),
inference(superposition,[],[f313,f19]) ).
fof(f4701,plain,
( spl0_176
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4697,f57,f4699]) ).
fof(f4699,plain,
( spl0_176
<=> ! [X34,X35] : true = ifeq(product(y,X34,x),true,ifeq(sum(multiplicative_identity,X34,X35),true,product(y,X35,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f4697,plain,
( ! [X34,X35] : true = ifeq(product(y,X34,x),true,ifeq(sum(multiplicative_identity,X34,X35),true,product(y,X35,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4647,f2]) ).
fof(f4647,plain,
( ! [X34,X35] : true = ifeq(product(y,X34,x),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X34,X35),true,product(y,X35,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f312,f59]) ).
fof(f4694,plain,
( spl0_175
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4690,f28,f4692]) ).
fof(f4692,plain,
( spl0_175
<=> ! [X32,X33] : true = ifeq(product(x,X32,y),true,ifeq(sum(multiplicative_identity,X32,X33),true,product(x,X33,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f4690,plain,
( ! [X32,X33] : true = ifeq(product(x,X32,y),true,ifeq(sum(multiplicative_identity,X32,X33),true,product(x,X33,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4646,f2]) ).
fof(f4646,plain,
( ! [X32,X33] : true = ifeq(product(x,X32,y),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X32,X33),true,product(x,X33,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f312,f30]) ).
fof(f4682,plain,
( spl0_174
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4678,f2552,f4680]) ).
fof(f4680,plain,
( spl0_174
<=> ! [X13,X12] : true = ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(multiplicative_identity,additive_identity,X13),true,product(additive_identity,X13,X12),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f4678,plain,
( ! [X12,X13] : true = ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(multiplicative_identity,additive_identity,X13),true,product(additive_identity,X13,X12),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4633,f2]) ).
fof(f4633,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,X12),true,ifeq(sum(multiplicative_identity,additive_identity,X13),true,product(additive_identity,X13,X12),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f312,f2554]) ).
fof(f4668,plain,
( spl0_173
| ~ spl0_92
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4664,f4104,f2552,f4666]) ).
fof(f4666,plain,
( spl0_173
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(additive_identity,X13,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f4664,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(additive_identity,X13,additive_identity),true,true,true),true)
| ~ spl0_92
| ~ spl0_151 ),
inference(forward_demodulation,[],[f4658,f4105]) ).
fof(f4658,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(additive_identity,X13,additive_identity),true,ifeq(sum(multiplicative_identity,X12,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f312,f2554]) ).
fof(f4574,plain,
( spl0_171
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4573,f2687,f4549]) ).
fof(f4549,plain,
( spl0_171
<=> ! [X8] : true = ifeq(product(multiply(additive_identity,X8),additive_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f4573,plain,
( ! [X6] : true = ifeq(product(multiply(additive_identity,X6),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(forward_demodulation,[],[f4539,f163]) ).
fof(f163,plain,
! [X2] : add(additive_identity,X2) = X2,
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
! [X2] : ifeq2(true,true,add(additive_identity,X2),X2) = X2,
inference(superposition,[],[f121,f68]) ).
fof(f68,plain,
! [X2,X3] : true = sum(X3,X2,add(X2,X3)),
inference(forward_demodulation,[],[f39,f2]) ).
fof(f39,plain,
! [X2,X3] : true = ifeq(true,true,sum(X3,X2,add(X2,X3)),true),
inference(superposition,[],[f5,f3]) ).
fof(f4539,plain,
( ! [X6] : true = ifeq(product(add(additive_identity,multiply(additive_identity,X6)),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f3403]) ).
fof(f3403,plain,
! [X0,X1] : true = ifeq(product(multiplicative_identity,X1,add(X1,multiply(additive_identity,X0))),true,true,true),
inference(superposition,[],[f2060,f2825]) ).
fof(f2825,plain,
! [X15] : true = ifeq(product(multiplicative_identity,additive_identity,multiply(additive_identity,X15)),true,true,true),
inference(forward_demodulation,[],[f2824,f2]) ).
fof(f2824,plain,
! [X15] : true = ifeq(true,true,ifeq(product(multiplicative_identity,additive_identity,multiply(additive_identity,X15)),true,true,true),true),
inference(forward_demodulation,[],[f2820,f9]) ).
fof(f2820,plain,
! [X15] : true = ifeq(product(multiplicative_identity,X15,X15),true,ifeq(product(multiplicative_identity,additive_identity,multiply(additive_identity,X15)),true,true,true),true),
inference(superposition,[],[f2060,f2560]) ).
fof(f2560,plain,
! [X1] : add(X1,multiply(additive_identity,X1)) = X1,
inference(superposition,[],[f2502,f699]) ).
fof(f2502,plain,
! [X109] : add(X109,multiply(X109,additive_identity)) = X109,
inference(forward_demodulation,[],[f2501,f668]) ).
fof(f668,plain,
! [X4,X5] : add(X5,X4) = add(X4,X5),
inference(forward_demodulation,[],[f650,f1]) ).
fof(f650,plain,
! [X4,X5] : add(X5,X4) = ifeq2(true,true,add(X4,X5),add(X5,X4)),
inference(superposition,[],[f146,f68]) ).
fof(f146,plain,
! [X6,X4,X5] : ifeq2(sum(X4,X5,X6),true,add(X4,X5),X6) = X6,
inference(forward_demodulation,[],[f109,f1]) ).
fof(f109,plain,
! [X6,X4,X5] : ifeq2(sum(X4,X5,X6),true,ifeq2(true,true,add(X4,X5),X6),X6) = X6,
inference(superposition,[],[f23,f3]) ).
fof(f2501,plain,
! [X109] : add(multiply(X109,additive_identity),X109) = X109,
inference(forward_demodulation,[],[f2478,f1]) ).
fof(f2478,plain,
! [X109] : add(multiply(X109,additive_identity),X109) = ifeq2(true,true,X109,add(multiply(X109,additive_identity),X109)),
inference(superposition,[],[f115,f2441]) ).
fof(f115,plain,
! [X6,X4,X5] : ifeq2(sum(X4,X5,X6),true,X6,add(X4,X5)) = add(X4,X5),
inference(forward_demodulation,[],[f101,f1]) ).
fof(f101,plain,
! [X6,X4,X5] : add(X4,X5) = ifeq2(true,true,ifeq2(sum(X4,X5,X6),true,X6,add(X4,X5)),add(X4,X5)),
inference(superposition,[],[f23,f3]) ).
fof(f2060,plain,
! [X4,X5] : true = ifeq(product(multiplicative_identity,X5,add(X5,X4)),true,ifeq(product(multiplicative_identity,additive_identity,X4),true,true,true),true),
inference(superposition,[],[f1724,f68]) ).
fof(f1724,plain,
! [X2,X0,X1] : true = ifeq(product(multiplicative_identity,X0,X1),true,ifeq(product(multiplicative_identity,additive_identity,X2),true,sum(X2,X0,X1),true),true),
inference(forward_demodulation,[],[f1686,f2]) ).
fof(f1686,plain,
! [X2,X0,X1] : true = ifeq(product(multiplicative_identity,X0,X1),true,ifeq(true,true,ifeq(product(multiplicative_identity,additive_identity,X2),true,sum(X2,X0,X1),true),true),true),
inference(superposition,[],[f232,f9]) ).
fof(f4572,plain,
( spl0_172
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4571,f2687,f4554]) ).
fof(f4554,plain,
( spl0_172
<=> ! [X7] : true = ifeq(product(multiply(X7,additive_identity),additive_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f4571,plain,
( ! [X5] : true = ifeq(product(multiply(X5,additive_identity),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(forward_demodulation,[],[f4538,f163]) ).
fof(f4538,plain,
( ! [X5] : true = ifeq(product(add(additive_identity,multiply(X5,additive_identity)),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f3259]) ).
fof(f3259,plain,
! [X0,X1] : true = ifeq(product(multiplicative_identity,X1,add(X1,multiply(X0,additive_identity))),true,true,true),
inference(superposition,[],[f2060,f2450]) ).
fof(f2450,plain,
! [X1] : true = ifeq(product(multiplicative_identity,additive_identity,multiply(X1,additive_identity)),true,true,true),
inference(superposition,[],[f1850,f2441]) ).
fof(f1850,plain,
! [X4,X5] : true = ifeq(product(multiplicative_identity,additive_identity,X5),true,sum(X5,X4,X4),true),
inference(forward_demodulation,[],[f1849,f386]) ).
fof(f386,plain,
! [X1] : multiply(multiplicative_identity,X1) = X1,
inference(forward_demodulation,[],[f382,f1]) ).
fof(f382,plain,
! [X1] : multiply(multiplicative_identity,X1) = ifeq2(true,true,X1,multiply(multiplicative_identity,X1)),
inference(superposition,[],[f179,f4]) ).
fof(f1849,plain,
! [X4,X5] : true = ifeq(product(multiplicative_identity,additive_identity,X5),true,sum(X5,multiply(multiplicative_identity,X4),X4),true),
inference(forward_demodulation,[],[f1833,f2]) ).
fof(f1833,plain,
! [X4,X5] : true = ifeq(true,true,ifeq(product(multiplicative_identity,additive_identity,X5),true,sum(X5,multiply(multiplicative_identity,X4),X4),true),true),
inference(superposition,[],[f1723,f4]) ).
fof(f1723,plain,
! [X2,X0,X1] : true = ifeq(product(multiplicative_identity,X0,X1),true,ifeq(product(multiplicative_identity,additive_identity,X2),true,sum(X2,X1,X0),true),true),
inference(forward_demodulation,[],[f1680,f2]) ).
fof(f1680,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X0,X1),true,ifeq(product(multiplicative_identity,additive_identity,X2),true,sum(X2,X1,X0),true),true),true),
inference(superposition,[],[f232,f9]) ).
fof(f4562,plain,
( spl0_171
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4543,f2687,f4549]) ).
fof(f4543,plain,
( ! [X10] : true = ifeq(product(multiply(additive_identity,X10),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f2825]) ).
fof(f4561,plain,
( spl0_172
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4542,f2687,f4554]) ).
fof(f4542,plain,
( ! [X9] : true = ifeq(product(multiply(X9,additive_identity),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f2450]) ).
fof(f4556,plain,
( spl0_172
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4552,f2687,f4554]) ).
fof(f4552,plain,
( ! [X7] : true = ifeq(product(multiply(X7,additive_identity),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(forward_demodulation,[],[f4540,f164]) ).
fof(f164,plain,
! [X1] : add(X1,additive_identity) = X1,
inference(forward_demodulation,[],[f153,f1]) ).
fof(f153,plain,
! [X1] : ifeq2(true,true,add(X1,additive_identity),X1) = X1,
inference(superposition,[],[f121,f3]) ).
fof(f4540,plain,
( ! [X7] : true = ifeq(product(add(multiply(X7,additive_identity),additive_identity),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f3260]) ).
fof(f3260,plain,
! [X2,X3] : true = ifeq(product(multiplicative_identity,X3,add(multiply(X2,additive_identity),X3)),true,true,true),
inference(superposition,[],[f2059,f2450]) ).
fof(f2059,plain,
! [X2,X3] : true = ifeq(product(multiplicative_identity,X3,add(X2,X3)),true,ifeq(product(multiplicative_identity,additive_identity,X2),true,true,true),true),
inference(superposition,[],[f1724,f3]) ).
fof(f4551,plain,
( spl0_171
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4547,f2687,f4549]) ).
fof(f4547,plain,
( ! [X8] : true = ifeq(product(multiply(additive_identity,X8),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(forward_demodulation,[],[f4541,f164]) ).
fof(f4541,plain,
( ! [X8] : true = ifeq(product(add(multiply(additive_identity,X8),additive_identity),additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_102 ),
inference(superposition,[],[f2688,f3404]) ).
fof(f3404,plain,
! [X2,X3] : true = ifeq(product(multiplicative_identity,X3,add(multiply(additive_identity,X2),X3)),true,true,true),
inference(superposition,[],[f2059,f2825]) ).
fof(f4519,plain,
( spl0_170
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f4509,f4499,f4517]) ).
fof(f4517,plain,
( spl0_170
<=> ! [X4,X5] : true = ifeq(product(X5,X4,X5),true,ifeq(product(multiplicative_identity,X4,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f4499,plain,
( spl0_169
<=> ! [X0] : true = ifeq(product(additive_identity,X0,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f4509,plain,
( ! [X4,X5] : true = ifeq(product(X5,X4,X5),true,ifeq(product(multiplicative_identity,X4,additive_identity),true,true,true),true)
| ~ spl0_169 ),
inference(superposition,[],[f604,f4500]) ).
fof(f4500,plain,
( ! [X0] : true = ifeq(product(additive_identity,X0,multiplicative_identity),true,true,true)
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f4499]) ).
fof(f604,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X2,X3,X2),true,ifeq(product(X1,X3,X0),true,ifeq(product(X0,X3,X1),true,true,true),true),true),
inference(superposition,[],[f13,f5]) ).
fof(f4501,plain,
( spl0_169
| ~ spl0_88
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4497,f2552,f2426,f4499]) ).
fof(f2426,plain,
( spl0_88
<=> ! [X6,X5] : true = ifeq(product(additive_identity,X6,X6),true,ifeq(product(additive_identity,X5,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f4497,plain,
( ! [X0] : true = ifeq(product(additive_identity,X0,multiplicative_identity),true,true,true)
| ~ spl0_88
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4490,f2]) ).
fof(f4490,plain,
( ! [X0] : true = ifeq(true,true,ifeq(product(additive_identity,X0,multiplicative_identity),true,true,true),true)
| ~ spl0_88
| ~ spl0_92 ),
inference(superposition,[],[f2427,f2554]) ).
fof(f2427,plain,
( ! [X6,X5] : true = ifeq(product(additive_identity,X6,X6),true,ifeq(product(additive_identity,X5,multiplicative_identity),true,true,true),true)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f4475,plain,
( spl0_168
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4424,f2552,f4473]) ).
fof(f4473,plain,
( spl0_168
<=> ! [X13,X12] : true = ifeq(product(additive_identity,additive_identity,X12),true,ifeq(product(additive_identity,additive_identity,X13),true,ifeq(sum(X13,X12,additive_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f4424,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,additive_identity,X12),true,ifeq(product(additive_identity,additive_identity,X13),true,ifeq(sum(X13,X12,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f310,f2554]) ).
fof(f4467,plain,
( spl0_167
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4463,f2552,f4465]) ).
fof(f4465,plain,
( spl0_167
<=> ! [X6,X8,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(sum(X7,additive_identity,X8),true,product(additive_identity,X6,X8),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f4463,plain,
( ! [X8,X6,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(sum(X7,additive_identity,X8),true,product(additive_identity,X6,X8),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4398,f2]) ).
fof(f4398,plain,
( ! [X8,X6,X7] : true = ifeq(true,true,ifeq(product(additive_identity,X6,X7),true,ifeq(sum(X7,additive_identity,X8),true,product(additive_identity,X6,X8),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f310,f2554]) ).
fof(f4462,plain,
( spl0_166
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4458,f57,f4460]) ).
fof(f4460,plain,
( spl0_166
<=> ! [X34,X35] : true = ifeq(product(X34,additive_identity,x),true,ifeq(product(X34,X35,y),true,product(X34,X35,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f4458,plain,
( ! [X34,X35] : true = ifeq(product(X34,additive_identity,x),true,ifeq(product(X34,X35,y),true,product(X34,X35,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4419,f2]) ).
fof(f4419,plain,
( ! [X34,X35] : true = ifeq(product(X34,additive_identity,x),true,ifeq(product(X34,X35,y),true,ifeq(true,true,product(X34,X35,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f310,f59]) ).
fof(f4456,plain,
( spl0_165
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4452,f2552,f4454]) ).
fof(f4454,plain,
( spl0_165
<=> ! [X13,X12] : true = ifeq(product(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,X12,X13),true,product(additive_identity,additive_identity,X13),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f4452,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,additive_identity,X12),true,ifeq(sum(additive_identity,X12,X13),true,product(additive_identity,additive_identity,X13),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4405,f2]) ).
fof(f4405,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,additive_identity,X12),true,ifeq(true,true,ifeq(sum(additive_identity,X12,X13),true,product(additive_identity,additive_identity,X13),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f310,f2554]) ).
fof(f4449,plain,
( spl0_164
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4445,f28,f4447]) ).
fof(f4447,plain,
( spl0_164
<=> ! [X32,X33] : true = ifeq(product(X32,additive_identity,y),true,ifeq(product(X32,X33,x),true,product(X32,X33,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f4445,plain,
( ! [X32,X33] : true = ifeq(product(X32,additive_identity,y),true,ifeq(product(X32,X33,x),true,product(X32,X33,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4418,f2]) ).
fof(f4418,plain,
( ! [X32,X33] : true = ifeq(product(X32,additive_identity,y),true,ifeq(product(X32,X33,x),true,ifeq(true,true,product(X32,X33,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f310,f30]) ).
fof(f4442,plain,
spl0_163,
inference(avatar_split_clause,[],[f4441,f4433]) ).
fof(f4433,plain,
( spl0_163
<=> ! [X4,X5,X3] : true = ifeq(product(multiplicative_identity,X3,X4),true,ifeq(sum(X4,additive_identity,X5),true,product(multiplicative_identity,X3,X5),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f4441,plain,
! [X2,X0,X1] : true = ifeq(product(multiplicative_identity,X0,X1),true,ifeq(sum(X1,additive_identity,X2),true,product(multiplicative_identity,X0,X2),true),true),
inference(forward_demodulation,[],[f4396,f2]) ).
fof(f4396,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X0,X1),true,ifeq(sum(X1,additive_identity,X2),true,product(multiplicative_identity,X0,X2),true),true),true),
inference(superposition,[],[f310,f9]) ).
fof(f4435,plain,
( spl0_163
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4431,f159,f4433]) ).
fof(f159,plain,
( spl0_9
<=> multiplicative_identity = inverse(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f4431,plain,
( ! [X3,X4,X5] : true = ifeq(product(multiplicative_identity,X3,X4),true,ifeq(sum(X4,additive_identity,X5),true,product(multiplicative_identity,X3,X5),true),true)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f4430,f161]) ).
fof(f161,plain,
( multiplicative_identity = inverse(additive_identity)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f4430,plain,
! [X3,X4,X5] : true = ifeq(product(inverse(additive_identity),X3,X4),true,ifeq(sum(X4,additive_identity,X5),true,product(inverse(additive_identity),X3,X5),true),true),
inference(forward_demodulation,[],[f4397,f2]) ).
fof(f4397,plain,
! [X3,X4,X5] : true = ifeq(true,true,ifeq(product(inverse(additive_identity),X3,X4),true,ifeq(sum(X4,additive_identity,X5),true,product(inverse(additive_identity),X3,X5),true),true),true),
inference(superposition,[],[f310,f21]) ).
fof(f4364,plain,
( spl0_162
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4360,f2552,f4362]) ).
fof(f4362,plain,
( spl0_162
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X12,additive_identity,multiplicative_identity),true,sum(X13,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f4360,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X12,additive_identity,multiplicative_identity),true,sum(X13,additive_identity,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4289,f2]) ).
fof(f4289,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X12,additive_identity,multiplicative_identity),true,sum(X13,additive_identity,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f267,f2554]) ).
fof(f4359,plain,
( spl0_161
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4317,f28,f4357]) ).
fof(f4357,plain,
( spl0_161
<=> ! [X32,X33] : true = ifeq(product(z,X32,y),true,ifeq(product(z,X33,x),true,ifeq(sum(X33,X32,multiplicative_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f4317,plain,
( ! [X32,X33] : true = ifeq(product(z,X32,y),true,ifeq(product(z,X33,x),true,ifeq(sum(X33,X32,multiplicative_identity),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f267,f30]) ).
fof(f4347,plain,
( spl0_160
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4343,f2552,f4345]) ).
fof(f4345,plain,
( spl0_160
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(additive_identity,X12,multiplicative_identity),true,sum(additive_identity,X13,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f4343,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(additive_identity,X12,multiplicative_identity),true,sum(additive_identity,X13,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4296,f2]) ).
fof(f4296,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(true,true,ifeq(sum(additive_identity,X12,multiplicative_identity),true,sum(additive_identity,X13,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f267,f2554]) ).
fof(f4329,plain,
( spl0_159
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4318,f57,f4327]) ).
fof(f4327,plain,
( spl0_159
<=> ! [X34,X35] : true = ifeq(product(z,X34,x),true,ifeq(product(z,X35,y),true,ifeq(sum(X35,X34,multiplicative_identity),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f4318,plain,
( ! [X34,X35] : true = ifeq(product(z,X34,x),true,ifeq(product(z,X35,y),true,ifeq(sum(X35,X34,multiplicative_identity),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f267,f59]) ).
fof(f4272,plain,
( spl0_158
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4235,f28,f4270]) ).
fof(f4270,plain,
( spl0_158
<=> ! [X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(X32,additive_identity,y),true,ifeq(product(X32,X33,x),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f4235,plain,
( ! [X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(X32,additive_identity,y),true,ifeq(product(X32,X33,x),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f262,f30]) ).
fof(f4268,plain,
( spl0_157
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4236,f57,f4266]) ).
fof(f4266,plain,
( spl0_157
<=> ! [X34,X35] : true = ifeq(product(X34,X35,z),true,ifeq(product(X34,additive_identity,x),true,ifeq(product(X34,X35,y),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f4236,plain,
( ! [X34,X35] : true = ifeq(product(X34,X35,z),true,ifeq(product(X34,additive_identity,x),true,ifeq(product(X34,X35,y),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f262,f59]) ).
fof(f4257,plain,
( spl0_156
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4253,f2552,f4255]) ).
fof(f4255,plain,
( spl0_156
<=> ! [X6,X7,X8] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(product(additive_identity,X6,X8),true,sum(X8,additive_identity,X7),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f4253,plain,
( ! [X8,X6,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(product(additive_identity,X6,X8),true,sum(X8,additive_identity,X7),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4215,f2]) ).
fof(f4215,plain,
( ! [X8,X6,X7] : true = ifeq(product(additive_identity,X6,X7),true,ifeq(true,true,ifeq(product(additive_identity,X6,X8),true,sum(X8,additive_identity,X7),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f262,f2554]) ).
fof(f4193,plain,
( spl0_155
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4151,f57,f4191]) ).
fof(f4191,plain,
( spl0_155
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,z),true,ifeq(product(multiplicative_identity,X35,y),true,ifeq(sum(X35,x,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f4151,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,z),true,ifeq(product(multiplicative_identity,X35,y),true,ifeq(sum(X35,x,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f260,f59]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(multiplicative_identity,X3,X4),true,ifeq(sum(X3,X0,X1),true,sum(X4,X0,X2),true),true),true),
inference(forward_demodulation,[],[f203,f2]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(true,true,ifeq(product(multiplicative_identity,X3,X4),true,ifeq(sum(X3,X0,X1),true,sum(X4,X0,X2),true),true),true),true),
inference(superposition,[],[f11,f9]) ).
fof(f4179,plain,
( spl0_154
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4175,f28,f4177]) ).
fof(f4177,plain,
( spl0_154
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,z,X32),true,ifeq(product(multiplicative_identity,x,X33),true,sum(X33,y,X32),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f4175,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,z,X32),true,ifeq(product(multiplicative_identity,x,X33),true,sum(X33,y,X32),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4138,f2]) ).
fof(f4138,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,z,X32),true,ifeq(product(multiplicative_identity,x,X33),true,ifeq(true,true,sum(X33,y,X32),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f260,f30]) ).
fof(f4170,plain,
( spl0_153
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4150,f28,f4168]) ).
fof(f4168,plain,
( spl0_153
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,z),true,ifeq(product(multiplicative_identity,X33,x),true,ifeq(sum(X33,y,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f4150,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,z),true,ifeq(product(multiplicative_identity,X33,x),true,ifeq(sum(X33,y,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f260,f30]) ).
fof(f4160,plain,
( spl0_152
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4156,f57,f4158]) ).
fof(f4158,plain,
( spl0_152
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,z,X34),true,ifeq(product(multiplicative_identity,y,X35),true,sum(X35,x,X34),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f4156,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,z,X34),true,ifeq(product(multiplicative_identity,y,X35),true,sum(X35,x,X34),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4139,f2]) ).
fof(f4139,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,z,X34),true,ifeq(product(multiplicative_identity,y,X35),true,ifeq(true,true,sum(X35,x,X34),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f260,f59]) ).
fof(f4106,plain,
( spl0_151
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4102,f2552,f4104]) ).
fof(f4102,plain,
( ! [X3] : true = ifeq(sum(multiplicative_identity,X3,additive_identity),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f4080,f2]) ).
fof(f4080,plain,
( ! [X3] : true = ifeq(true,true,ifeq(sum(multiplicative_identity,X3,additive_identity),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f3109,f2554]) ).
fof(f4056,plain,
( spl0_150
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4052,f28,f4054]) ).
fof(f4054,plain,
( spl0_150
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,y,X32),true,ifeq(product(multiplicative_identity,x,X33),true,sum(X33,X32,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f4052,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,y,X32),true,ifeq(product(multiplicative_identity,x,X33),true,sum(X33,X32,z),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3997,f2]) ).
fof(f3997,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,y,X32),true,ifeq(product(multiplicative_identity,x,X33),true,ifeq(true,true,sum(X33,X32,z),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f248,f30]) ).
fof(f248,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(multiplicative_identity,X3,X4),true,ifeq(sum(X3,X1,X0),true,sum(X4,X2,X0),true),true),true),
inference(forward_demodulation,[],[f197,f2]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(multiplicative_identity,X3,X4),true,ifeq(sum(X3,X1,X0),true,sum(X4,X2,X0),true),true),true),true),
inference(superposition,[],[f11,f9]) ).
fof(f4041,plain,
( spl0_149
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4037,f57,f4039]) ).
fof(f4039,plain,
( spl0_149
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,x,X34),true,ifeq(product(multiplicative_identity,y,X35),true,sum(X35,X34,z),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f4037,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,x,X34),true,ifeq(product(multiplicative_identity,y,X35),true,sum(X35,X34,z),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f3998,f2]) ).
fof(f3998,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,x,X34),true,ifeq(product(multiplicative_identity,y,X35),true,ifeq(true,true,sum(X35,X34,z),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f248,f59]) ).
fof(f4032,plain,
( spl0_148
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4010,f57,f4030]) ).
fof(f4030,plain,
( spl0_148
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,x),true,ifeq(product(multiplicative_identity,X35,y),true,ifeq(sum(X35,X34,z),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f4010,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,x),true,ifeq(product(multiplicative_identity,X35,y),true,ifeq(sum(X35,X34,z),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f248,f59]) ).
fof(f4023,plain,
( spl0_147
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4009,f28,f4021]) ).
fof(f4021,plain,
( spl0_147
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,y),true,ifeq(product(multiplicative_identity,X33,x),true,ifeq(sum(X33,X32,z),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f4009,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,y),true,ifeq(product(multiplicative_identity,X33,x),true,ifeq(sum(X33,X32,z),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f248,f30]) ).
fof(f3801,plain,
( spl0_146
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3758,f57,f3799]) ).
fof(f3799,plain,
( spl0_146
<=> ! [X34,X35] : true = ifeq(product(y,X34,z),true,ifeq(product(y,X35,x),true,ifeq(sum(multiplicative_identity,X35,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f3758,plain,
( ! [X34,X35] : true = ifeq(product(y,X34,z),true,ifeq(product(y,X35,x),true,ifeq(sum(multiplicative_identity,X35,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f242,f59]) ).
fof(f3785,plain,
( spl0_145
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f3757,f28,f3783]) ).
fof(f3783,plain,
( spl0_145
<=> ! [X32,X33] : true = ifeq(product(x,X32,z),true,ifeq(product(x,X33,y),true,ifeq(sum(multiplicative_identity,X33,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3757,plain,
( ! [X32,X33] : true = ifeq(product(x,X32,z),true,ifeq(product(x,X33,y),true,ifeq(sum(multiplicative_identity,X33,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f242,f30]) ).
fof(f3780,plain,
( spl0_144
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3776,f2552,f3778]) ).
fof(f3778,plain,
( spl0_144
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(multiplicative_identity,X12,additive_identity),true,sum(additive_identity,X13,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f3776,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(multiplicative_identity,X12,additive_identity),true,sum(additive_identity,X13,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f3731,f2]) ).
fof(f3731,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(product(additive_identity,X12,X13),true,ifeq(sum(multiplicative_identity,X12,additive_identity),true,sum(additive_identity,X13,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f242,f2554]) ).
fof(f3773,plain,
( spl0_143
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3769,f2552,f3771]) ).
fof(f3771,plain,
( spl0_143
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(multiplicative_identity,additive_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f3769,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(multiplicative_identity,additive_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f3738,f2]) ).
fof(f3738,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(true,true,ifeq(sum(multiplicative_identity,additive_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f242,f2554]) ).
fof(f3632,plain,
( spl0_142
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f3627,f3597,f3630]) ).
fof(f3630,plain,
( spl0_142
<=> ! [X4,X5] : true = ifeq(product(multiply(additive_identity,X4),X5,X5),true,ifeq(product(multiply(additive_identity,X4),X4,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f3597,plain,
( spl0_140
<=> ! [X1] : true = ifeq(product(multiply(additive_identity,X1),multiplicative_identity,X1),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f3627,plain,
( ! [X4,X5] : true = ifeq(product(multiply(additive_identity,X4),X5,X5),true,ifeq(product(multiply(additive_identity,X4),X4,multiplicative_identity),true,true,true),true)
| ~ spl0_140 ),
inference(superposition,[],[f231,f3598]) ).
fof(f3598,plain,
( ! [X1] : true = ifeq(product(multiply(additive_identity,X1),multiplicative_identity,X1),true,true,true)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f3597]) ).
fof(f3618,plain,
( spl0_141
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f3612,f3040,f3616]) ).
fof(f3616,plain,
( spl0_141
<=> ! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(product(X6,multiply(additive_identity,X6),multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f3040,plain,
( spl0_122
<=> ! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(additive_identity,X118)),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f3612,plain,
( ! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(product(X6,multiply(additive_identity,X6),multiplicative_identity),true,true,true),true)
| ~ spl0_122 ),
inference(superposition,[],[f231,f3041]) ).
fof(f3041,plain,
( ! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(additive_identity,X118)),true,true,true)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3601,plain,
( spl0_140
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f3584,f3516,f3597]) ).
fof(f3516,plain,
( spl0_134
<=> ! [X0] : true = ifeq(product(multiply(X0,additive_identity),multiplicative_identity,X0),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f3584,plain,
( ! [X0] : true = ifeq(product(multiply(additive_identity,X0),multiplicative_identity,X0),true,true,true)
| ~ spl0_134 ),
inference(superposition,[],[f3517,f699]) ).
fof(f3517,plain,
( ! [X0] : true = ifeq(product(multiply(X0,additive_identity),multiplicative_identity,X0),true,true,true)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f3516]) ).
fof(f3599,plain,
( spl0_140
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f3585,f3516,f3597]) ).
fof(f3585,plain,
( ! [X1] : true = ifeq(product(multiply(additive_identity,X1),multiplicative_identity,X1),true,true,true)
| ~ spl0_134 ),
inference(superposition,[],[f3517,f699]) ).
fof(f3595,plain,
( spl0_139
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f3591,f3516,f3593]) ).
fof(f3593,plain,
( spl0_139
<=> ! [X4,X5] : true = ifeq(product(multiply(X4,additive_identity),X5,X5),true,ifeq(product(multiply(X4,additive_identity),X4,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f3591,plain,
( ! [X4,X5] : true = ifeq(product(multiply(X4,additive_identity),X5,X5),true,ifeq(product(multiply(X4,additive_identity),X4,multiplicative_identity),true,true,true),true)
| ~ spl0_134 ),
inference(superposition,[],[f231,f3517]) ).
fof(f3583,plain,
( spl0_138
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f3576,f2777,f3581]) ).
fof(f3581,plain,
( spl0_138
<=> ! [X4,X5] : true = ifeq(product(X5,multiply(additive_identity,X4),X5),true,ifeq(product(X4,multiply(additive_identity,X4),additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f2777,plain,
( spl0_117
<=> ! [X18] : true = ifeq(product(additive_identity,multiply(additive_identity,X18),X18),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f3576,plain,
( ! [X4,X5] : true = ifeq(product(X5,multiply(additive_identity,X4),X5),true,ifeq(product(X4,multiply(additive_identity,X4),additive_identity),true,true,true),true)
| ~ spl0_117 ),
inference(superposition,[],[f604,f2778]) ).
fof(f2778,plain,
( ! [X18] : true = ifeq(product(additive_identity,multiply(additive_identity,X18),X18),true,true,true)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f2777]) ).
fof(f3567,plain,
( spl0_137
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f3560,f2713,f3565]) ).
fof(f3565,plain,
( spl0_137
<=> ! [X4,X5] : true = ifeq(product(X5,multiply(X4,additive_identity),X5),true,ifeq(product(X4,multiply(X4,additive_identity),additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f2713,plain,
( spl0_107
<=> ! [X17] : true = ifeq(product(additive_identity,multiply(X17,additive_identity),X17),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f3560,plain,
( ! [X4,X5] : true = ifeq(product(X5,multiply(X4,additive_identity),X5),true,ifeq(product(X4,multiply(X4,additive_identity),additive_identity),true,true,true),true)
| ~ spl0_107 ),
inference(superposition,[],[f604,f2714]) ).
fof(f2714,plain,
( ! [X17] : true = ifeq(product(additive_identity,multiply(X17,additive_identity),X17),true,true,true)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f2713]) ).
fof(f3550,plain,
( spl0_136
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f3546,f2707,f3548]) ).
fof(f3548,plain,
( spl0_136
<=> ! [X6,X7] : true = ifeq(product(multiply(X6,additive_identity),X7,X7),true,ifeq(product(multiply(X6,additive_identity),X6,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f2707,plain,
( spl0_106
<=> ! [X13] : true = ifeq(product(multiply(X13,additive_identity),additive_identity,X13),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f3546,plain,
( ! [X6,X7] : true = ifeq(product(multiply(X6,additive_identity),X7,X7),true,ifeq(product(multiply(X6,additive_identity),X6,additive_identity),true,true,true),true)
| ~ spl0_106 ),
inference(superposition,[],[f231,f2708]) ).
fof(f2708,plain,
( ! [X13] : true = ifeq(product(multiply(X13,additive_identity),additive_identity,X13),true,true,true)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f2707]) ).
fof(f3535,plain,
( spl0_135
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f3531,f2641,f3533]) ).
fof(f3533,plain,
( spl0_135
<=> ! [X6,X7] : true = ifeq(product(multiply(additive_identity,X6),X7,X7),true,ifeq(product(multiply(additive_identity,X6),X6,additive_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f2641,plain,
( spl0_94
<=> ! [X12] : true = ifeq(product(multiply(additive_identity,X12),additive_identity,X12),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f3531,plain,
( ! [X6,X7] : true = ifeq(product(multiply(additive_identity,X6),X7,X7),true,ifeq(product(multiply(additive_identity,X6),X6,additive_identity),true,true,true),true)
| ~ spl0_94 ),
inference(superposition,[],[f231,f2642]) ).
fof(f2642,plain,
( ! [X12] : true = ifeq(product(multiply(additive_identity,X12),additive_identity,X12),true,true,true)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f3521,plain,
( spl0_134
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3520,f2968,f3516]) ).
fof(f2968,plain,
( spl0_121
<=> ! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(X118,additive_identity)),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f3520,plain,
( ! [X4] : true = ifeq(product(multiply(X4,additive_identity),multiplicative_identity,X4),true,true,true)
| ~ spl0_121 ),
inference(forward_demodulation,[],[f3519,f2]) ).
fof(f3519,plain,
( ! [X4] : true = ifeq(true,true,ifeq(product(multiply(X4,additive_identity),multiplicative_identity,X4),true,true,true),true)
| ~ spl0_121 ),
inference(forward_demodulation,[],[f3508,f10]) ).
fof(f3508,plain,
( ! [X4,X5] : true = ifeq(product(X5,multiplicative_identity,X5),true,ifeq(product(multiply(X4,additive_identity),multiplicative_identity,X4),true,true,true),true)
| ~ spl0_121 ),
inference(superposition,[],[f604,f2969]) ).
fof(f2969,plain,
( ! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(X118,additive_identity)),true,true,true)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f2968]) ).
fof(f3518,plain,
( spl0_134
| ~ spl0_42
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3504,f2968,f1295,f3516]) ).
fof(f3504,plain,
( ! [X0] : true = ifeq(product(multiply(X0,additive_identity),multiplicative_identity,X0),true,true,true)
| ~ spl0_42
| ~ spl0_121 ),
inference(superposition,[],[f1296,f2969]) ).
fof(f3514,plain,
( spl0_133
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3509,f2968,f3512]) ).
fof(f3512,plain,
( spl0_133
<=> ! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(product(X6,multiply(X6,additive_identity),multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f3509,plain,
( ! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(product(X6,multiply(X6,additive_identity),multiplicative_identity),true,true,true),true)
| ~ spl0_121 ),
inference(superposition,[],[f231,f2969]) ).
fof(f3487,plain,
( spl0_132
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3483,f2552,f3485]) ).
fof(f3485,plain,
( spl0_132
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,sum(X13,additive_identity,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f3483,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,sum(X13,additive_identity,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f3418,f2]) ).
fof(f3418,plain,
( ! [X12,X13] : true = ifeq(true,true,ifeq(product(additive_identity,X12,X13),true,ifeq(sum(X12,multiplicative_identity,additive_identity),true,sum(X13,additive_identity,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f241,f2554]) ).
fof(f3482,plain,
( spl0_131
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3445,f57,f3480]) ).
fof(f3480,plain,
( spl0_131
<=> ! [X34,X35] : true = ifeq(product(x,X34,z),true,ifeq(product(x,X35,y),true,ifeq(sum(X35,multiplicative_identity,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f3445,plain,
( ! [X34,X35] : true = ifeq(product(x,X34,z),true,ifeq(product(x,X35,y),true,ifeq(sum(X35,multiplicative_identity,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f241,f59]) ).
fof(f3469,plain,
( spl0_130
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f3444,f28,f3467]) ).
fof(f3467,plain,
( spl0_130
<=> ! [X32,X33] : true = ifeq(product(y,X32,z),true,ifeq(product(y,X33,x),true,ifeq(sum(X33,multiplicative_identity,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f3444,plain,
( ! [X32,X33] : true = ifeq(product(y,X32,z),true,ifeq(product(y,X33,x),true,ifeq(sum(X33,multiplicative_identity,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f241,f30]) ).
fof(f3459,plain,
( spl0_129
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3455,f2552,f3457]) ).
fof(f3457,plain,
( spl0_129
<=> ! [X13,X12] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(additive_identity,multiplicative_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f3455,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(sum(additive_identity,multiplicative_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f3425,f2]) ).
fof(f3425,plain,
( ! [X12,X13] : true = ifeq(product(additive_identity,X12,X13),true,ifeq(true,true,ifeq(sum(additive_identity,multiplicative_identity,X12),true,sum(additive_identity,additive_identity,X13),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f241,f2554]) ).
fof(f3241,plain,
( spl0_128
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f3237,f28,f3239]) ).
fof(f3239,plain,
( spl0_128
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,z,X32),true,ifeq(product(multiplicative_identity,y,X33),true,sum(x,X33,X32),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f3237,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,z,X32),true,ifeq(product(multiplicative_identity,y,X33),true,sum(x,X33,X32),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3192,f2]) ).
fof(f3192,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,z,X32),true,ifeq(product(multiplicative_identity,y,X33),true,ifeq(true,true,sum(x,X33,X32),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f234,f30]) ).
fof(f3235,plain,
( spl0_127
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3205,f57,f3233]) ).
fof(f3233,plain,
( spl0_127
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,z),true,ifeq(product(multiplicative_identity,X35,x),true,ifeq(sum(y,X35,X34),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f3205,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,X34,z),true,ifeq(product(multiplicative_identity,X35,x),true,ifeq(sum(y,X35,X34),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f234,f59]) ).
fof(f3225,plain,
( spl0_126
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f3204,f28,f3223]) ).
fof(f3223,plain,
( spl0_126
<=> ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,z),true,ifeq(product(multiplicative_identity,X33,y),true,ifeq(sum(x,X33,X32),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f3204,plain,
( ! [X32,X33] : true = ifeq(product(multiplicative_identity,X32,z),true,ifeq(product(multiplicative_identity,X33,y),true,ifeq(sum(x,X33,X32),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f234,f30]) ).
fof(f3221,plain,
( spl0_125
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3217,f57,f3219]) ).
fof(f3219,plain,
( spl0_125
<=> ! [X34,X35] : true = ifeq(product(multiplicative_identity,z,X34),true,ifeq(product(multiplicative_identity,x,X35),true,sum(y,X35,X34),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f3217,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,z,X34),true,ifeq(product(multiplicative_identity,x,X35),true,sum(y,X35,X34),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f3193,f2]) ).
fof(f3193,plain,
( ! [X34,X35] : true = ifeq(product(multiplicative_identity,z,X34),true,ifeq(product(multiplicative_identity,x,X35),true,ifeq(true,true,sum(y,X35,X34),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f234,f59]) ).
fof(f3132,plain,
( spl0_124
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3128,f2552,f3130]) ).
fof(f3128,plain,
( ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(X6,X5,additive_identity),true,true,true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f3080,f2]) ).
fof(f3080,plain,
( ! [X6,X5] : true = ifeq(true,true,ifeq(product(X5,X6,X5),true,ifeq(sum(X6,X5,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f2294,f2554]) ).
fof(f3106,plain,
( spl0_123
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3102,f159,f3104]) ).
fof(f3104,plain,
( spl0_123
<=> ! [X8,X7] : true = ifeq(product(X7,X8,X7),true,ifeq(sum(multiplicative_identity,additive_identity,X8),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f3102,plain,
( ! [X8,X7] : true = ifeq(product(X7,X8,X7),true,ifeq(sum(multiplicative_identity,additive_identity,X8),true,true,true),true)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f3101,f161]) ).
fof(f3101,plain,
! [X8,X7] : true = ifeq(product(X7,X8,X7),true,ifeq(sum(inverse(additive_identity),additive_identity,X8),true,true,true),true),
inference(forward_demodulation,[],[f3085,f2]) ).
fof(f3085,plain,
! [X8,X7] : true = ifeq(product(X7,X8,X7),true,ifeq(true,true,ifeq(sum(inverse(additive_identity),additive_identity,X8),true,true,true),true),true),
inference(superposition,[],[f2294,f22]) ).
fof(f3042,plain,
( spl0_122
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f3038,f1540,f3040]) ).
fof(f1540,plain,
( spl0_51
<=> ! [X2,X3] : true = ifeq(product(X3,X2,X3),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f3038,plain,
( ! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(additive_identity,X118)),true,true,true)
| ~ spl0_51 ),
inference(forward_demodulation,[],[f3032,f1541]) ).
fof(f1541,plain,
( ! [X2,X3] : true = ifeq(product(X3,X2,X3),true,true,true)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f3032,plain,
! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(additive_identity,X118)),true,ifeq(product(X118,additive_identity,X118),true,true,true),true),
inference(superposition,[],[f1725,f2811]) ).
fof(f2811,plain,
! [X0] : true = sum(X0,multiply(additive_identity,X0),X0),
inference(superposition,[],[f3,f2560]) ).
fof(f2970,plain,
( spl0_121
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f2966,f1540,f2968]) ).
fof(f2966,plain,
( ! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(X118,additive_identity)),true,true,true)
| ~ spl0_51 ),
inference(forward_demodulation,[],[f2950,f1541]) ).
fof(f2950,plain,
! [X118] : true = ifeq(product(X118,multiplicative_identity,multiply(X118,additive_identity)),true,ifeq(product(X118,additive_identity,X118),true,true,true),true),
inference(superposition,[],[f1725,f2504]) ).
fof(f2504,plain,
! [X3] : true = sum(X3,multiply(X3,additive_identity),X3),
inference(forward_demodulation,[],[f2454,f2]) ).
fof(f2454,plain,
! [X3] : true = ifeq(true,true,sum(X3,multiply(X3,additive_identity),X3),true),
inference(superposition,[],[f5,f2441]) ).
fof(f2804,plain,
( spl0_116
| ~ spl0_54
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2803,f2552,f1571,f2772]) ).
fof(f1571,plain,
( spl0_54
<=> ! [X6,X5,X7] : true = ifeq(product(X5,X7,X7),true,ifeq(product(X5,X5,X6),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f2803,plain,
( ! [X16] : true = ifeq(product(additive_identity,additive_identity,X16),true,true,true)
| ~ spl0_54
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2594,f2]) ).
fof(f2594,plain,
( ! [X16] : true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,X16),true,true,true),true)
| ~ spl0_54
| ~ spl0_92 ),
inference(superposition,[],[f1572,f2554]) ).
fof(f1572,plain,
( ! [X6,X7,X5] : true = ifeq(product(X5,X7,X7),true,ifeq(product(X5,X5,X6),true,true,true),true)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f2802,plain,
( spl0_120
| ~ spl0_43
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2797,f2552,f1457,f2799]) ).
fof(f2799,plain,
( spl0_120
<=> true = ifeq(sum(additive_identity,additive_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f2797,plain,
( true = ifeq(sum(additive_identity,additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_43
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2590,f2]) ).
fof(f2590,plain,
( true = ifeq(true,true,ifeq(sum(additive_identity,additive_identity,multiplicative_identity),true,true,true),true)
| ~ spl0_43
| ~ spl0_92 ),
inference(superposition,[],[f1458,f2554]) ).
fof(f2789,plain,
( spl0_119
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2785,f2552,f2787]) ).
fof(f2787,plain,
( spl0_119
<=> ! [X0] : true = ifeq(product(additive_identity,multiplicative_identity,X0),true,sum(additive_identity,X0,additive_identity),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2785,plain,
( ! [X0] : true = ifeq(product(additive_identity,multiplicative_identity,X0),true,sum(additive_identity,X0,additive_identity),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2580,f2]) ).
fof(f2580,plain,
( ! [X0] : true = ifeq(product(additive_identity,multiplicative_identity,X0),true,ifeq(true,true,sum(additive_identity,X0,additive_identity),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1725,f2554]) ).
fof(f2784,plain,
( spl0_118
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2780,f2552,f2782]) ).
fof(f2782,plain,
( spl0_118
<=> ! [X48,X47,X46,X45] : true = ifeq(product(X45,additive_identity,X46),true,ifeq(product(X47,additive_identity,X48),true,ifeq(sum(X47,X45,additive_identity),true,sum(X48,X46,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f2780,plain,
( ! [X48,X46,X47,X45] : true = ifeq(product(X45,additive_identity,X46),true,ifeq(product(X47,additive_identity,X48),true,ifeq(sum(X47,X45,additive_identity),true,sum(X48,X46,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2608,f2]) ).
fof(f2608,plain,
( ! [X48,X46,X47,X45] : true = ifeq(true,true,ifeq(product(X45,additive_identity,X46),true,ifeq(product(X47,additive_identity,X48),true,ifeq(sum(X47,X45,additive_identity),true,sum(X48,X46,additive_identity),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f13,f2554]) ).
fof(f2779,plain,
( spl0_117
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2775,f2552,f2777]) ).
fof(f2775,plain,
( ! [X18] : true = ifeq(product(additive_identity,multiply(additive_identity,X18),X18),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2597,f2]) ).
fof(f2597,plain,
( ! [X18] : true = ifeq(true,true,ifeq(product(additive_identity,multiply(additive_identity,X18),X18),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1115,f2554]) ).
fof(f1115,plain,
! [X10,X8,X9] : true = ifeq(product(X8,X10,X10),true,ifeq(product(X8,multiply(X8,X9),X9),true,true,true),true),
inference(forward_demodulation,[],[f1113,f2]) ).
fof(f1113,plain,
! [X10,X8,X9] : true = ifeq(product(X8,X10,X10),true,ifeq(product(X8,multiply(X8,X9),X9),true,ifeq(true,true,true,true),true),true),
inference(superposition,[],[f231,f4]) ).
fof(f2774,plain,
( spl0_116
| ~ spl0_55
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2770,f2552,f1599,f2772]) ).
fof(f1599,plain,
( spl0_55
<=> ! [X2,X1,X3] : true = ifeq(product(X3,X2,X3),true,ifeq(product(X2,X2,X1),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2770,plain,
( ! [X15] : true = ifeq(product(additive_identity,additive_identity,X15),true,true,true)
| ~ spl0_55
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2593,f2]) ).
fof(f2593,plain,
( ! [X15] : true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,X15),true,true,true),true)
| ~ spl0_55
| ~ spl0_92 ),
inference(superposition,[],[f1600,f2554]) ).
fof(f1600,plain,
( ! [X2,X3,X1] : true = ifeq(product(X3,X2,X3),true,ifeq(product(X2,X2,X1),true,true,true),true)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f2769,plain,
( spl0_111
| ~ spl0_9
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2768,f2552,f159,f2738]) ).
fof(f2738,plain,
( spl0_111
<=> true = ifeq(product(additive_identity,additive_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f2768,plain,
( true = ifeq(product(additive_identity,additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_9
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2767,f161]) ).
fof(f2767,plain,
( true = ifeq(product(additive_identity,additive_identity,inverse(additive_identity)),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2598,f2]) ).
fof(f2598,plain,
( true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,inverse(additive_identity)),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1123,f2554]) ).
fof(f1123,plain,
! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(product(X6,additive_identity,inverse(X6)),true,true,true),true),
inference(forward_demodulation,[],[f1106,f2]) ).
fof(f1106,plain,
! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(true,true,ifeq(product(X6,additive_identity,inverse(X6)),true,true,true),true),true),
inference(superposition,[],[f231,f22]) ).
fof(f2764,plain,
( spl0_115
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2760,f2552,f2762]) ).
fof(f2762,plain,
( spl0_115
<=> ! [X81,X84,X82,X83] : true = ifeq(product(X81,X82,X83),true,ifeq(sum(X84,X82,additive_identity),true,ifeq(sum(X84,X81,additive_identity),true,sum(X84,X83,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f2760,plain,
( ! [X82,X83,X81,X84] : true = ifeq(product(X81,X82,X83),true,ifeq(sum(X84,X82,additive_identity),true,ifeq(sum(X84,X81,additive_identity),true,sum(X84,X83,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2617,f2]) ).
fof(f2617,plain,
( ! [X82,X83,X81,X84] : true = ifeq(true,true,ifeq(product(X81,X82,X83),true,ifeq(sum(X84,X82,additive_identity),true,ifeq(sum(X84,X81,additive_identity),true,sum(X84,X83,additive_identity),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f16,f2554]) ).
fof(f2759,plain,
( spl0_114
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2755,f2552,f2757]) ).
fof(f2757,plain,
( spl0_114
<=> ! [X107,X108] : true = ifeq(product(additive_identity,additive_identity,X107),true,ifeq(product(additive_identity,additive_identity,X108),true,sum(X108,X107,additive_identity),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f2755,plain,
( ! [X108,X107] : true = ifeq(product(additive_identity,additive_identity,X107),true,ifeq(product(additive_identity,additive_identity,X108),true,sum(X108,X107,additive_identity),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2631,f2]) ).
fof(f2631,plain,
( ! [X108,X107] : true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,X107),true,ifeq(product(additive_identity,additive_identity,X108),true,sum(X108,X107,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f232,f2554]) ).
fof(f2752,plain,
( spl0_113
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2748,f2552,f2750]) ).
fof(f2748,plain,
( ! [X8,X9] : true = ifeq(product(X8,X9,X8),true,ifeq(sum(additive_identity,additive_identity,X9),true,true,true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2585,f2]) ).
fof(f2585,plain,
( ! [X8,X9] : true = ifeq(product(X8,X9,X8),true,ifeq(true,true,ifeq(sum(additive_identity,additive_identity,X9),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1029,f2554]) ).
fof(f2746,plain,
( spl0_112
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2615,f2552,f2744]) ).
fof(f2744,plain,
( spl0_112
<=> ! [X74,X75,X76,X73] : true = ifeq(product(X73,X74,X75),true,ifeq(sum(X76,X75,additive_identity),true,ifeq(sum(X76,X74,additive_identity),true,ifeq(sum(X76,X73,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f2615,plain,
( ! [X73,X76,X74,X75] : true = ifeq(product(X73,X74,X75),true,ifeq(sum(X76,X75,additive_identity),true,ifeq(sum(X76,X74,additive_identity),true,ifeq(sum(X76,X73,additive_identity),true,true,true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f15,f2554]) ).
fof(f2741,plain,
( spl0_111
| ~ spl0_9
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2736,f2552,f159,f2738]) ).
fof(f2736,plain,
( true = ifeq(product(additive_identity,additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_9
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2735,f161]) ).
fof(f2735,plain,
( true = ifeq(product(additive_identity,additive_identity,inverse(additive_identity)),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2589,f2]) ).
fof(f2589,plain,
( true = ifeq(true,true,ifeq(product(additive_identity,additive_identity,inverse(additive_identity)),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1304,f2554]) ).
fof(f1304,plain,
! [X4,X5] : true = ifeq(product(X5,X4,X5),true,ifeq(product(additive_identity,X4,inverse(X4)),true,true,true),true),
inference(forward_demodulation,[],[f1277,f2]) ).
fof(f1277,plain,
! [X4,X5] : true = ifeq(product(X5,X4,X5),true,ifeq(product(additive_identity,X4,inverse(X4)),true,ifeq(true,true,true,true),true),true),
inference(superposition,[],[f604,f21]) ).
fof(f2733,plain,
( spl0_110
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2729,f2552,f2731]) ).
fof(f2731,plain,
( spl0_110
<=> ! [X69,X71,X70,X72] : true = ifeq(sum(X69,additive_identity,X70),true,ifeq(sum(X69,additive_identity,X71),true,ifeq(sum(X69,additive_identity,X72),true,product(X72,X71,X70),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f2729,plain,
( ! [X72,X70,X71,X69] : true = ifeq(sum(X69,additive_identity,X70),true,ifeq(sum(X69,additive_identity,X71),true,ifeq(sum(X69,additive_identity,X72),true,product(X72,X71,X70),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2614,f2]) ).
fof(f2614,plain,
( ! [X72,X70,X71,X69] : true = ifeq(true,true,ifeq(sum(X69,additive_identity,X70),true,ifeq(sum(X69,additive_identity,X71),true,ifeq(sum(X69,additive_identity,X72),true,product(X72,X71,X70),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f15,f2554]) ).
fof(f2727,plain,
( spl0_109
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2723,f2552,f2725]) ).
fof(f2723,plain,
( ! [X14] : true = ifeq(sum(X14,multiplicative_identity,additive_identity),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2591,f2]) ).
fof(f2591,plain,
( ! [X14] : true = ifeq(true,true,ifeq(sum(X14,multiplicative_identity,additive_identity),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1491,f2554]) ).
fof(f2720,plain,
( spl0_108
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2716,f2552,f2718]) ).
fof(f2718,plain,
( spl0_108
<=> ! [X20,X19] : true = ifeq(product(additive_identity,X19,X20),true,ifeq(product(additive_identity,X20,X19),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f2716,plain,
( ! [X19,X20] : true = ifeq(product(additive_identity,X19,X20),true,ifeq(product(additive_identity,X20,X19),true,true,true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2599,f2]) ).
fof(f2599,plain,
( ! [X19,X20] : true = ifeq(true,true,ifeq(product(additive_identity,X19,X20),true,ifeq(product(additive_identity,X20,X19),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f231,f2554]) ).
fof(f2715,plain,
( spl0_107
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2711,f2552,f2713]) ).
fof(f2711,plain,
( ! [X17] : true = ifeq(product(additive_identity,multiply(X17,additive_identity),X17),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2596,f2]) ).
fof(f2596,plain,
( ! [X17] : true = ifeq(true,true,ifeq(product(additive_identity,multiply(X17,additive_identity),X17),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1124,f2554]) ).
fof(f1124,plain,
! [X11,X12,X13] : true = ifeq(product(X11,X13,X13),true,ifeq(product(X11,multiply(X12,X11),X12),true,true,true),true),
inference(forward_demodulation,[],[f1108,f2]) ).
fof(f1108,plain,
! [X11,X12,X13] : true = ifeq(product(X11,X13,X13),true,ifeq(true,true,ifeq(product(X11,multiply(X12,X11),X12),true,true,true),true),true),
inference(superposition,[],[f231,f92]) ).
fof(f2709,plain,
( spl0_106
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2705,f2552,f2707]) ).
fof(f2705,plain,
( ! [X13] : true = ifeq(product(multiply(X13,additive_identity),additive_identity,X13),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2588,f2]) ).
fof(f2588,plain,
( ! [X13] : true = ifeq(true,true,ifeq(product(multiply(X13,additive_identity),additive_identity,X13),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1288,f2554]) ).
fof(f1288,plain,
! [X10,X8,X9] : true = ifeq(product(X10,X9,X10),true,ifeq(product(multiply(X8,X9),X9,X8),true,true,true),true),
inference(forward_demodulation,[],[f1273,f2]) ).
fof(f1273,plain,
! [X10,X8,X9] : true = ifeq(product(X10,X9,X10),true,ifeq(true,true,ifeq(product(multiply(X8,X9),X9,X8),true,true,true),true),true),
inference(superposition,[],[f604,f4]) ).
fof(f2704,plain,
( spl0_105
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2605,f2552,f2702]) ).
fof(f2702,plain,
( spl0_105
<=> ! [X35,X33,X34,X36] : true = ifeq(product(additive_identity,X33,X34),true,ifeq(product(additive_identity,X35,X36),true,ifeq(sum(X36,X34,additive_identity),true,ifeq(sum(X35,X33,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f2605,plain,
( ! [X36,X34,X35,X33] : true = ifeq(product(additive_identity,X33,X34),true,ifeq(product(additive_identity,X35,X36),true,ifeq(sum(X36,X34,additive_identity),true,ifeq(sum(X35,X33,additive_identity),true,true,true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f12,f2554]) ).
fof(f2699,plain,
( spl0_104
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2695,f2552,f2697]) ).
fof(f2697,plain,
( spl0_104
<=> ! [X88,X85,X87,X86] : true = ifeq(sum(additive_identity,X85,X86),true,ifeq(sum(additive_identity,X85,X87),true,ifeq(sum(additive_identity,X85,X88),true,product(X88,X87,X86),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f2695,plain,
( ! [X88,X86,X87,X85] : true = ifeq(sum(additive_identity,X85,X86),true,ifeq(sum(additive_identity,X85,X87),true,ifeq(sum(additive_identity,X85,X88),true,product(X88,X87,X86),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2618,f2]) ).
fof(f2618,plain,
( ! [X88,X86,X87,X85] : true = ifeq(true,true,ifeq(sum(additive_identity,X85,X86),true,ifeq(sum(additive_identity,X85,X87),true,ifeq(sum(additive_identity,X85,X88),true,product(X88,X87,X86),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f17,f2554]) ).
fof(f2694,plain,
( spl0_103
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2690,f2552,f2692]) ).
fof(f2690,plain,
( ! [X10,X11] : true = ifeq(product(X10,X11,X10),true,ifeq(sum(X10,X11,additive_identity),true,true,true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2586,f2]) ).
fof(f2586,plain,
( ! [X10,X11] : true = ifeq(true,true,ifeq(product(X10,X11,X10),true,ifeq(sum(X10,X11,additive_identity),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1029,f2554]) ).
fof(f2689,plain,
( spl0_102
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2685,f2552,f2687]) ).
fof(f2685,plain,
( ! [X6,X7] : true = ifeq(product(X6,additive_identity,X7),true,ifeq(product(X7,additive_identity,X6),true,true,true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2584,f2]) ).
fof(f2584,plain,
( ! [X6,X7] : true = ifeq(true,true,ifeq(product(X6,additive_identity,X7),true,ifeq(product(X7,additive_identity,X6),true,true,true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f604,f2554]) ).
fof(f2682,plain,
( spl0_101
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2678,f2552,f2680]) ).
fof(f2680,plain,
( spl0_101
<=> ! [X77,X78,X80,X79] : true = ifeq(product(X77,X78,X79),true,ifeq(sum(X80,additive_identity,X78),true,ifeq(sum(X80,additive_identity,X77),true,sum(X80,additive_identity,X79),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f2678,plain,
( ! [X80,X78,X79,X77] : true = ifeq(product(X77,X78,X79),true,ifeq(sum(X80,additive_identity,X78),true,ifeq(sum(X80,additive_identity,X77),true,sum(X80,additive_identity,X79),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2616,f2]) ).
fof(f2616,plain,
( ! [X80,X78,X79,X77] : true = ifeq(product(X77,X78,X79),true,ifeq(true,true,ifeq(sum(X80,additive_identity,X78),true,ifeq(sum(X80,additive_identity,X77),true,sum(X80,additive_identity,X79),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f16,f2554]) ).
fof(f2677,plain,
( spl0_100
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2673,f2552,f2675]) ).
fof(f2675,plain,
( spl0_100
<=> ! [X94,X95,X93,X96] : true = ifeq(product(X93,X94,X95),true,ifeq(sum(additive_identity,X96,X94),true,ifeq(sum(additive_identity,X96,X93),true,sum(additive_identity,X96,X95),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f2673,plain,
( ! [X96,X94,X95,X93] : true = ifeq(product(X93,X94,X95),true,ifeq(sum(additive_identity,X96,X94),true,ifeq(sum(additive_identity,X96,X93),true,sum(additive_identity,X96,X95),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2620,f2]) ).
fof(f2620,plain,
( ! [X96,X94,X95,X93] : true = ifeq(product(X93,X94,X95),true,ifeq(true,true,ifeq(sum(additive_identity,X96,X94),true,ifeq(sum(additive_identity,X96,X93),true,sum(additive_identity,X96,X95),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f18,f2554]) ).
fof(f2672,plain,
( spl0_99
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2668,f2552,f2670]) ).
fof(f2670,plain,
( spl0_99
<=> ! [X99,X98,X100,X97] : true = ifeq(product(X97,X98,X99),true,ifeq(sum(X98,X100,additive_identity),true,ifeq(sum(X97,X100,additive_identity),true,sum(X99,X100,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f2668,plain,
( ! [X98,X99,X97,X100] : true = ifeq(product(X97,X98,X99),true,ifeq(sum(X98,X100,additive_identity),true,ifeq(sum(X97,X100,additive_identity),true,sum(X99,X100,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2621,f2]) ).
fof(f2621,plain,
( ! [X98,X99,X97,X100] : true = ifeq(true,true,ifeq(product(X97,X98,X99),true,ifeq(sum(X98,X100,additive_identity),true,ifeq(sum(X97,X100,additive_identity),true,sum(X99,X100,additive_identity),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f18,f2554]) ).
fof(f2666,plain,
( spl0_98
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2662,f2552,f2664]) ).
fof(f2664,plain,
( spl0_98
<=> ! [X24,X21,X23,X22] : true = ifeq(product(additive_identity,X21,X22),true,ifeq(product(additive_identity,X23,X24),true,ifeq(sum(X23,X21,additive_identity),true,sum(X24,X22,additive_identity),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f2662,plain,
( ! [X21,X24,X22,X23] : true = ifeq(product(additive_identity,X21,X22),true,ifeq(product(additive_identity,X23,X24),true,ifeq(sum(X23,X21,additive_identity),true,sum(X24,X22,additive_identity),true),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2602,f2]) ).
fof(f2602,plain,
( ! [X21,X24,X22,X23] : true = ifeq(true,true,ifeq(product(additive_identity,X21,X22),true,ifeq(product(additive_identity,X23,X24),true,ifeq(sum(X23,X21,additive_identity),true,sum(X24,X22,additive_identity),true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f11,f2554]) ).
fof(f2658,plain,
( spl0_97
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2654,f2552,f2656]) ).
fof(f2656,plain,
( spl0_97
<=> ! [X105,X106] : true = ifeq(product(additive_identity,additive_identity,X105),true,ifeq(product(additive_identity,additive_identity,X106),true,sum(X106,additive_identity,X105),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f2654,plain,
( ! [X106,X105] : true = ifeq(product(additive_identity,additive_identity,X105),true,ifeq(product(additive_identity,additive_identity,X106),true,sum(X106,additive_identity,X105),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2630,f2]) ).
fof(f2630,plain,
( ! [X106,X105] : true = ifeq(product(additive_identity,additive_identity,X105),true,ifeq(true,true,ifeq(product(additive_identity,additive_identity,X106),true,sum(X106,additive_identity,X105),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f232,f2554]) ).
fof(f2652,plain,
( spl0_96
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2619,f2552,f2650]) ).
fof(f2650,plain,
( spl0_96
<=> ! [X92,X91,X90,X89] : true = ifeq(product(X89,X90,X91),true,ifeq(sum(X91,X92,additive_identity),true,ifeq(sum(X90,X92,additive_identity),true,ifeq(sum(X89,X92,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f2619,plain,
( ! [X90,X91,X89,X92] : true = ifeq(product(X89,X90,X91),true,ifeq(sum(X91,X92,additive_identity),true,ifeq(sum(X90,X92,additive_identity),true,ifeq(sum(X89,X92,additive_identity),true,true,true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f17,f2554]) ).
fof(f2648,plain,
( spl0_95
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2644,f2552,f2646]) ).
fof(f2646,plain,
( spl0_95
<=> ! [X2,X1,X3] : true = ifeq(product(additive_identity,X1,X2),true,ifeq(product(additive_identity,X1,X3),true,sum(additive_identity,X3,X2),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f2644,plain,
( ! [X2,X3,X1] : true = ifeq(product(additive_identity,X1,X2),true,ifeq(product(additive_identity,X1,X3),true,sum(additive_identity,X3,X2),true),true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2581,f2]) ).
fof(f2581,plain,
( ! [X2,X3,X1] : true = ifeq(product(additive_identity,X1,X2),true,ifeq(product(additive_identity,X1,X3),true,ifeq(true,true,sum(additive_identity,X3,X2),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f232,f2554]) ).
fof(f2643,plain,
( spl0_94
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2639,f2552,f2641]) ).
fof(f2639,plain,
( ! [X12] : true = ifeq(product(multiply(additive_identity,X12),additive_identity,X12),true,true,true)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2587,f2]) ).
fof(f2587,plain,
( ! [X12] : true = ifeq(true,true,ifeq(product(multiply(additive_identity,X12),additive_identity,X12),true,true,true),true)
| ~ spl0_92 ),
inference(superposition,[],[f1287,f2554]) ).
fof(f1287,plain,
! [X11,X12,X13] : true = ifeq(product(X13,X12,X13),true,ifeq(product(multiply(X12,X11),X12,X11),true,true,true),true),
inference(forward_demodulation,[],[f1274,f2]) ).
fof(f1274,plain,
! [X11,X12,X13] : true = ifeq(product(X13,X12,X13),true,ifeq(true,true,ifeq(product(multiply(X12,X11),X12,X11),true,true,true),true),true),
inference(superposition,[],[f604,f92]) ).
fof(f2638,plain,
( spl0_93
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2611,f2552,f2636]) ).
fof(f2636,plain,
( spl0_93
<=> ! [X59,X60,X57,X58] : true = ifeq(product(X57,additive_identity,X58),true,ifeq(product(X59,additive_identity,X60),true,ifeq(sum(X60,X58,additive_identity),true,ifeq(sum(X59,X57,additive_identity),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f2611,plain,
( ! [X58,X59,X57,X60] : true = ifeq(product(X57,additive_identity,X58),true,ifeq(product(X59,additive_identity,X60),true,ifeq(sum(X60,X58,additive_identity),true,ifeq(sum(X59,X57,additive_identity),true,true,true),true),true),true)
| ~ spl0_92 ),
inference(superposition,[],[f14,f2554]) ).
fof(f2558,plain,
( spl0_92
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2534,f2496,f2552]) ).
fof(f2496,plain,
( spl0_89
<=> additive_identity = multiply(additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f2534,plain,
( true = product(additive_identity,additive_identity,additive_identity)
| ~ spl0_89 ),
inference(superposition,[],[f92,f2498]) ).
fof(f2498,plain,
( additive_identity = multiply(additive_identity,additive_identity)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f2496]) ).
fof(f2557,plain,
( spl0_91
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2535,f2496,f2548]) ).
fof(f2548,plain,
( spl0_91
<=> ! [X3] : additive_identity = ifeq2(product(additive_identity,additive_identity,X3),true,X3,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f2535,plain,
( ! [X0] : additive_identity = ifeq2(product(additive_identity,additive_identity,X0),true,X0,additive_identity)
| ~ spl0_89 ),
inference(superposition,[],[f177,f2498]) ).
fof(f2556,plain,
( spl0_90
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2537,f2496,f2544]) ).
fof(f2544,plain,
( spl0_90
<=> ! [X1] : ifeq2(product(additive_identity,additive_identity,X1),true,additive_identity,X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f2537,plain,
( ! [X2] : ifeq2(product(additive_identity,additive_identity,X2),true,additive_identity,X2) = X2
| ~ spl0_89 ),
inference(superposition,[],[f186,f2498]) ).
fof(f2555,plain,
( spl0_92
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2533,f2496,f2552]) ).
fof(f2533,plain,
( true = product(additive_identity,additive_identity,additive_identity)
| ~ spl0_89 ),
inference(superposition,[],[f4,f2498]) ).
fof(f2550,plain,
( spl0_91
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2538,f2496,f2548]) ).
fof(f2538,plain,
( ! [X3] : additive_identity = ifeq2(product(additive_identity,additive_identity,X3),true,X3,additive_identity)
| ~ spl0_89 ),
inference(superposition,[],[f188,f2498]) ).
fof(f2546,plain,
( spl0_90
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2536,f2496,f2544]) ).
fof(f2536,plain,
( ! [X1] : ifeq2(product(additive_identity,additive_identity,X1),true,additive_identity,X1) = X1
| ~ spl0_89 ),
inference(superposition,[],[f185,f2498]) ).
fof(f2512,plain,
spl0_89,
inference(avatar_split_clause,[],[f2511,f2496]) ).
fof(f2511,plain,
additive_identity = multiply(additive_identity,additive_identity),
inference(forward_demodulation,[],[f2452,f1]) ).
fof(f2452,plain,
ifeq2(true,true,additive_identity,multiply(additive_identity,additive_identity)) = multiply(additive_identity,additive_identity),
inference(superposition,[],[f121,f2441]) ).
fof(f2499,plain,
spl0_89,
inference(avatar_split_clause,[],[f2494,f2496]) ).
fof(f2494,plain,
additive_identity = multiply(additive_identity,additive_identity),
inference(forward_demodulation,[],[f2451,f1]) ).
fof(f2451,plain,
additive_identity = ifeq2(true,true,multiply(additive_identity,additive_identity),additive_identity),
inference(superposition,[],[f135,f2441]) ).
fof(f2428,plain,
( spl0_88
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f2424,f2409,f2426]) ).
fof(f2409,plain,
( spl0_86
<=> ! [X4] : true = ifeq(product(additive_identity,multiplicative_identity,X4),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f2424,plain,
( ! [X6,X5] : true = ifeq(product(additive_identity,X6,X6),true,ifeq(product(additive_identity,X5,multiplicative_identity),true,true,true),true)
| ~ spl0_86 ),
inference(superposition,[],[f231,f2410]) ).
fof(f2410,plain,
( ! [X4] : true = ifeq(product(additive_identity,multiplicative_identity,X4),true,true,true)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f2409]) ).
fof(f2416,plain,
( spl0_86
| ~ spl0_42
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2397,f2372,f1295,f2409]) ).
fof(f2372,plain,
( spl0_83
<=> ! [X1] : true = ifeq(product(X1,multiplicative_identity,additive_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f2397,plain,
( ! [X0] : true = ifeq(product(additive_identity,multiplicative_identity,X0),true,true,true)
| ~ spl0_42
| ~ spl0_83 ),
inference(superposition,[],[f1296,f2373]) ).
fof(f2373,plain,
( ! [X1] : true = ifeq(product(X1,multiplicative_identity,additive_identity),true,true,true)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f2415,plain,
( spl0_87
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2402,f2372,f2413]) ).
fof(f2413,plain,
( spl0_87
<=> ! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(product(X6,additive_identity,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f2402,plain,
( ! [X6,X7] : true = ifeq(product(X6,X7,X7),true,ifeq(product(X6,additive_identity,multiplicative_identity),true,true,true),true)
| ~ spl0_83 ),
inference(superposition,[],[f231,f2373]) ).
fof(f2411,plain,
( spl0_86
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2407,f2372,f2409]) ).
fof(f2407,plain,
( ! [X4] : true = ifeq(product(additive_identity,multiplicative_identity,X4),true,true,true)
| ~ spl0_83 ),
inference(forward_demodulation,[],[f2406,f2]) ).
fof(f2406,plain,
( ! [X4] : true = ifeq(true,true,ifeq(product(additive_identity,multiplicative_identity,X4),true,true,true),true)
| ~ spl0_83 ),
inference(forward_demodulation,[],[f2401,f10]) ).
fof(f2401,plain,
( ! [X4,X5] : true = ifeq(product(X5,multiplicative_identity,X5),true,ifeq(product(additive_identity,multiplicative_identity,X4),true,true,true),true)
| ~ spl0_83 ),
inference(superposition,[],[f604,f2373]) ).
fof(f2394,plain,
( spl0_85
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2362,f28,f2391]) ).
fof(f2391,plain,
( spl0_85
<=> true = ifeq(product(z,multiplicative_identity,y),true,ifeq(product(z,additive_identity,x),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f2362,plain,
( true = ifeq(product(z,multiplicative_identity,y),true,ifeq(product(z,additive_identity,x),true,true,true),true)
| ~ spl0_1 ),
inference(superposition,[],[f1725,f30]) ).
fof(f2387,plain,
( spl0_84
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2363,f57,f2384]) ).
fof(f2384,plain,
( spl0_84
<=> true = ifeq(product(z,multiplicative_identity,x),true,ifeq(product(z,additive_identity,y),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2363,plain,
( true = ifeq(product(z,multiplicative_identity,x),true,ifeq(product(z,additive_identity,y),true,true,true),true)
| ~ spl0_3 ),
inference(superposition,[],[f1725,f59]) ).
fof(f2374,plain,
( spl0_83
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f2370,f1540,f2372]) ).
fof(f2370,plain,
( ! [X1] : true = ifeq(product(X1,multiplicative_identity,additive_identity),true,true,true)
| ~ spl0_51 ),
inference(forward_demodulation,[],[f2357,f1541]) ).
fof(f2357,plain,
! [X1] : true = ifeq(product(X1,multiplicative_identity,additive_identity),true,ifeq(product(X1,additive_identity,X1),true,true,true),true),
inference(superposition,[],[f1725,f8]) ).
fof(f2343,plain,
( spl0_82
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2292,f28,f2341]) ).
fof(f2341,plain,
( spl0_82
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,z),true,ifeq(product(X34,X35,x),true,ifeq(sum(X35,y,X33),true,ifeq(sum(X34,y,X32),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f2292,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(X34,X35,x),true,ifeq(sum(X35,y,X33),true,ifeq(sum(X34,y,X32),true,true,true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f18,f30]) ).
fof(f2338,plain,
( spl0_81
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2293,f57,f2336]) ).
fof(f2336,plain,
( spl0_81
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X38,X39,y),true,ifeq(sum(X39,x,X37),true,ifeq(sum(X38,x,X36),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2293,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X38,X39,y),true,ifeq(sum(X39,x,X37),true,ifeq(sum(X38,x,X36),true,true,true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f18,f59]) ).
fof(f2333,plain,
( spl0_80
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2329,f57,f2331]) ).
fof(f2331,plain,
( spl0_80
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X38,y,X39),true,ifeq(sum(X38,x,X36),true,sum(X39,x,X37),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f2329,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X38,y,X39),true,ifeq(sum(X38,x,X36),true,sum(X39,x,X37),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2277,f2]) ).
fof(f2277,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X38,y,X39),true,ifeq(true,true,ifeq(sum(X38,x,X36),true,sum(X39,x,X37),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f18,f59]) ).
fof(f2325,plain,
( spl0_79
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2321,f28,f2323]) ).
fof(f2323,plain,
( spl0_79
<=> ! [X35,X34,X33,X32] : true = ifeq(product(z,X32,X33),true,ifeq(product(x,X34,X35),true,ifeq(sum(X34,y,X32),true,sum(X35,y,X33),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f2321,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(z,X32,X33),true,ifeq(product(x,X34,X35),true,ifeq(sum(X34,y,X32),true,sum(X35,y,X33),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2284,f2]) ).
fof(f2284,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(z,X32,X33),true,ifeq(product(x,X34,X35),true,ifeq(sum(X34,y,X32),true,ifeq(true,true,sum(X35,y,X33),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f18,f30]) ).
fof(f2320,plain,
( spl0_78
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2316,f28,f2318]) ).
fof(f2318,plain,
( spl0_78
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,z,X33),true,ifeq(product(X34,x,X35),true,ifeq(sum(X34,y,X32),true,sum(X35,y,X33),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2316,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,z,X33),true,ifeq(product(X34,x,X35),true,ifeq(sum(X34,y,X32),true,sum(X35,y,X33),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2276,f2]) ).
fof(f2276,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,z,X33),true,ifeq(product(X34,x,X35),true,ifeq(true,true,ifeq(sum(X34,y,X32),true,sum(X35,y,X33),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f18,f30]) ).
fof(f2315,plain,
( spl0_77
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2311,f57,f2313]) ).
fof(f2313,plain,
( spl0_77
<=> ! [X38,X36,X39,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(y,X38,X39),true,ifeq(sum(X38,x,X36),true,sum(X39,x,X37),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f2311,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(y,X38,X39),true,ifeq(sum(X38,x,X36),true,sum(X39,x,X37),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2285,f2]) ).
fof(f2285,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(y,X38,X39),true,ifeq(sum(X38,x,X36),true,ifeq(true,true,sum(X39,x,X37),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f18,f59]) ).
fof(f2189,plain,
( spl0_76
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2185,f57,f2187]) ).
fof(f2187,plain,
( spl0_76
<=> ! [X38,X36,X39,X37] : true = ifeq(product(y,X36,X37),true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,product(z,X39,X38),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f2185,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(y,X36,X37),true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,product(z,X39,X38),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2132,f2]) ).
fof(f2132,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(y,X36,X37),true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,ifeq(true,true,product(z,X39,X38),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f17,f59]) ).
fof(f2181,plain,
( spl0_75
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2177,f57,f2179]) ).
fof(f2179,plain,
( spl0_75
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,y),true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,product(X39,X38,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f2177,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,y),true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,product(X39,X38,z),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2116,f2]) ).
fof(f2116,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,y),true,ifeq(true,true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,product(X39,X38,z),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f17,f59]) ).
fof(f2174,plain,
( spl0_74
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2170,f28,f2172]) ).
fof(f2172,plain,
( spl0_74
<=> ! [X35,X34,X33,X32] : true = ifeq(product(x,X32,X33),true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,product(z,X35,X34),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2170,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(x,X32,X33),true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,product(z,X35,X34),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2131,f2]) ).
fof(f2131,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(x,X32,X33),true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,ifeq(true,true,product(z,X35,X34),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f17,f30]) ).
fof(f2167,plain,
( spl0_73
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2163,f28,f2165]) ).
fof(f2165,plain,
( spl0_73
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,x,X33),true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,product(X35,z,X34),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f2163,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,x,X33),true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,product(X35,z,X34),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2123,f2]) ).
fof(f2123,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,x,X33),true,ifeq(sum(X33,y,X34),true,ifeq(true,true,ifeq(sum(X32,y,X35),true,product(X35,z,X34),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f17,f30]) ).
fof(f2153,plain,
( spl0_72
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2149,f28,f2151]) ).
fof(f2151,plain,
( spl0_72
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,x),true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,product(X35,X34,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2149,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,x),true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,product(X35,X34,z),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2115,f2]) ).
fof(f2115,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,x),true,ifeq(true,true,ifeq(sum(X33,y,X34),true,ifeq(sum(X32,y,X35),true,product(X35,X34,z),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f17,f30]) ).
fof(f2148,plain,
( spl0_71
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2144,f57,f2146]) ).
fof(f2146,plain,
( spl0_71
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,y,X37),true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,product(X39,z,X38),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f2144,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,y,X37),true,ifeq(sum(X37,x,X38),true,ifeq(sum(X36,x,X39),true,product(X39,z,X38),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2124,f2]) ).
fof(f2124,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,y,X37),true,ifeq(sum(X37,x,X38),true,ifeq(true,true,ifeq(sum(X36,x,X39),true,product(X39,z,X38),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f17,f59]) ).
fof(f2088,plain,
( spl0_70
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2063,f28,f2085]) ).
fof(f2085,plain,
( spl0_70
<=> true = ifeq(product(multiplicative_identity,y,z),true,ifeq(product(multiplicative_identity,additive_identity,x),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f2063,plain,
( true = ifeq(product(multiplicative_identity,y,z),true,ifeq(product(multiplicative_identity,additive_identity,x),true,true,true),true)
| ~ spl0_1 ),
inference(superposition,[],[f1724,f30]) ).
fof(f2082,plain,
( spl0_69
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2064,f57,f2079]) ).
fof(f2079,plain,
( spl0_69
<=> true = ifeq(product(multiplicative_identity,x,z),true,ifeq(product(multiplicative_identity,additive_identity,y),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f2064,plain,
( true = ifeq(product(multiplicative_identity,x,z),true,ifeq(product(multiplicative_identity,additive_identity,y),true,true,true),true)
| ~ spl0_3 ),
inference(superposition,[],[f1724,f59]) ).
fof(f2020,plain,
( spl0_68
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2014,f1976,f2018]) ).
fof(f2018,plain,
( spl0_68
<=> ! [X6,X5] : true = ifeq(product(X6,X5,X6),true,ifeq(product(add(X5,multiplicative_identity),X5,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1976,plain,
( spl0_65
<=> ! [X0] : true = ifeq(product(multiplicative_identity,X0,add(X0,multiplicative_identity)),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f2014,plain,
( ! [X6,X5] : true = ifeq(product(X6,X5,X6),true,ifeq(product(add(X5,multiplicative_identity),X5,multiplicative_identity),true,true,true),true)
| ~ spl0_65 ),
inference(superposition,[],[f604,f1977]) ).
fof(f1977,plain,
( ! [X0] : true = ifeq(product(multiplicative_identity,X0,add(X0,multiplicative_identity)),true,true,true)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f2004,plain,
( spl0_67
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1996,f1959,f2002]) ).
fof(f2002,plain,
( spl0_67
<=> ! [X6,X5] : true = ifeq(product(X6,X5,X6),true,ifeq(product(add(multiplicative_identity,X5),X5,multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1959,plain,
( spl0_63
<=> ! [X4] : true = ifeq(product(multiplicative_identity,X4,add(multiplicative_identity,X4)),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1996,plain,
( ! [X6,X5] : true = ifeq(product(X6,X5,X6),true,ifeq(product(add(multiplicative_identity,X5),X5,multiplicative_identity),true,true,true),true)
| ~ spl0_63 ),
inference(superposition,[],[f604,f1960]) ).
fof(f1960,plain,
( ! [X4] : true = ifeq(product(multiplicative_identity,X4,add(multiplicative_identity,X4)),true,true,true)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1985,plain,
( spl0_65
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1984,f1953,f1976]) ).
fof(f1953,plain,
( spl0_62
<=> ! [X1] : true = ifeq(product(multiplicative_identity,add(X1,multiplicative_identity),X1),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1984,plain,
( ! [X4] : true = ifeq(product(multiplicative_identity,X4,add(X4,multiplicative_identity)),true,true,true)
| ~ spl0_62 ),
inference(forward_demodulation,[],[f1983,f2]) ).
fof(f1983,plain,
( ! [X4] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X4,add(X4,multiplicative_identity)),true,true,true),true)
| ~ spl0_62 ),
inference(forward_demodulation,[],[f1974,f9]) ).
fof(f1974,plain,
( ! [X4,X5] : true = ifeq(product(multiplicative_identity,X5,X5),true,ifeq(product(multiplicative_identity,X4,add(X4,multiplicative_identity)),true,true,true),true)
| ~ spl0_62 ),
inference(superposition,[],[f231,f1954]) ).
fof(f1954,plain,
( ! [X1] : true = ifeq(product(multiplicative_identity,add(X1,multiplicative_identity),X1),true,true,true)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f1982,plain,
( spl0_66
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1973,f1953,f1980]) ).
fof(f1980,plain,
( spl0_66
<=> ! [X2,X3] : true = ifeq(product(X3,add(X2,multiplicative_identity),X3),true,ifeq(product(X2,add(X2,multiplicative_identity),multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1973,plain,
( ! [X2,X3] : true = ifeq(product(X3,add(X2,multiplicative_identity),X3),true,ifeq(product(X2,add(X2,multiplicative_identity),multiplicative_identity),true,true,true),true)
| ~ spl0_62 ),
inference(superposition,[],[f604,f1954]) ).
fof(f1978,plain,
( spl0_65
| ~ spl0_41
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1971,f1953,f1119,f1976]) ).
fof(f1119,plain,
( spl0_41
<=> ! [X6,X5] : true = ifeq(product(multiplicative_identity,X5,X6),true,ifeq(product(multiplicative_identity,X6,X5),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1971,plain,
( ! [X0] : true = ifeq(product(multiplicative_identity,X0,add(X0,multiplicative_identity)),true,true,true)
| ~ spl0_41
| ~ spl0_62 ),
inference(superposition,[],[f1120,f1954]) ).
fof(f1120,plain,
( ! [X6,X5] : true = ifeq(product(multiplicative_identity,X5,X6),true,ifeq(product(multiplicative_identity,X6,X5),true,true,true),true)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1967,plain,
( spl0_62
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1946,f1934,f1953]) ).
fof(f1934,plain,
( spl0_61
<=> ! [X1] : true = ifeq(product(multiplicative_identity,add(multiplicative_identity,X1),X1),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1946,plain,
( ! [X0] : true = ifeq(product(multiplicative_identity,add(X0,multiplicative_identity),X0),true,true,true)
| ~ spl0_61 ),
inference(superposition,[],[f1935,f668]) ).
fof(f1935,plain,
( ! [X1] : true = ifeq(product(multiplicative_identity,add(multiplicative_identity,X1),X1),true,true,true)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f1966,plain,
( spl0_63
| ~ spl0_41
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1948,f1934,f1119,f1959]) ).
fof(f1948,plain,
( ! [X0] : true = ifeq(product(multiplicative_identity,X0,add(multiplicative_identity,X0)),true,true,true)
| ~ spl0_41
| ~ spl0_61 ),
inference(superposition,[],[f1120,f1935]) ).
fof(f1965,plain,
( spl0_64
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1950,f1934,f1963]) ).
fof(f1963,plain,
( spl0_64
<=> ! [X2,X3] : true = ifeq(product(X3,add(multiplicative_identity,X2),X3),true,ifeq(product(X2,add(multiplicative_identity,X2),multiplicative_identity),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1950,plain,
( ! [X2,X3] : true = ifeq(product(X3,add(multiplicative_identity,X2),X3),true,ifeq(product(X2,add(multiplicative_identity,X2),multiplicative_identity),true,true,true),true)
| ~ spl0_61 ),
inference(superposition,[],[f604,f1935]) ).
fof(f1961,plain,
( spl0_63
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1957,f1934,f1959]) ).
fof(f1957,plain,
( ! [X4] : true = ifeq(product(multiplicative_identity,X4,add(multiplicative_identity,X4)),true,true,true)
| ~ spl0_61 ),
inference(forward_demodulation,[],[f1956,f2]) ).
fof(f1956,plain,
( ! [X4] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X4,add(multiplicative_identity,X4)),true,true,true),true)
| ~ spl0_61 ),
inference(forward_demodulation,[],[f1951,f9]) ).
fof(f1951,plain,
( ! [X4,X5] : true = ifeq(product(multiplicative_identity,X5,X5),true,ifeq(product(multiplicative_identity,X4,add(multiplicative_identity,X4)),true,true,true),true)
| ~ spl0_61 ),
inference(superposition,[],[f231,f1935]) ).
fof(f1955,plain,
( spl0_62
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1947,f1934,f1953]) ).
fof(f1947,plain,
( ! [X1] : true = ifeq(product(multiplicative_identity,add(X1,multiplicative_identity),X1),true,true,true)
| ~ spl0_61 ),
inference(superposition,[],[f1935,f668]) ).
fof(f1936,plain,
( spl0_61
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1928,f1540,f1934]) ).
fof(f1928,plain,
( ! [X1] : true = ifeq(product(multiplicative_identity,add(multiplicative_identity,X1),X1),true,true,true)
| ~ spl0_51 ),
inference(superposition,[],[f1840,f1541]) ).
fof(f1840,plain,
! [X2,X3] : true = ifeq(product(multiplicative_identity,add(X2,X3),X3),true,ifeq(product(multiplicative_identity,additive_identity,X2),true,true,true),true),
inference(superposition,[],[f1723,f3]) ).
fof(f1864,plain,
( spl0_60
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1844,f28,f1861]) ).
fof(f1861,plain,
( spl0_60
<=> true = ifeq(product(multiplicative_identity,z,y),true,ifeq(product(multiplicative_identity,additive_identity,x),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1844,plain,
( true = ifeq(product(multiplicative_identity,z,y),true,ifeq(product(multiplicative_identity,additive_identity,x),true,true,true),true)
| ~ spl0_1 ),
inference(superposition,[],[f1723,f30]) ).
fof(f1859,plain,
( spl0_59
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1845,f57,f1856]) ).
fof(f1856,plain,
( spl0_59
<=> true = ifeq(product(multiplicative_identity,z,x),true,ifeq(product(multiplicative_identity,additive_identity,y),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1845,plain,
( true = ifeq(product(multiplicative_identity,z,x),true,ifeq(product(multiplicative_identity,additive_identity,y),true,true,true),true)
| ~ spl0_3 ),
inference(superposition,[],[f1723,f59]) ).
fof(f1730,plain,
( spl0_58
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1702,f28,f1728]) ).
fof(f1728,plain,
( spl0_58
<=> ! [X20,X21] : true = ifeq(product(X20,X21,z),true,ifeq(product(X20,X21,y),true,ifeq(product(X20,additive_identity,x),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1702,plain,
( ! [X21,X20] : true = ifeq(product(X20,X21,z),true,ifeq(product(X20,X21,y),true,ifeq(product(X20,additive_identity,x),true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f232,f30]) ).
fof(f1720,plain,
( spl0_57
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1703,f57,f1718]) ).
fof(f1718,plain,
( spl0_57
<=> ! [X22,X23] : true = ifeq(product(X22,X23,z),true,ifeq(product(X22,X23,x),true,ifeq(product(X22,additive_identity,y),true,true,true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1703,plain,
( ! [X22,X23] : true = ifeq(product(X22,X23,z),true,ifeq(product(X22,X23,x),true,ifeq(product(X22,additive_identity,y),true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f232,f59]) ).
fof(f1716,plain,
( spl0_56
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1712,f1567,f1714]) ).
fof(f1714,plain,
( spl0_56
<=> ! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,X2,X0),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1567,plain,
( spl0_53
<=> ! [X11,X10] : true = ifeq(product(X10,X11,X11),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1712,plain,
( ! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,X2,X0),true,true,true),true)
| ~ spl0_53 ),
inference(forward_demodulation,[],[f1696,f1568]) ).
fof(f1568,plain,
( ! [X10,X11] : true = ifeq(product(X10,X11,X11),true,true,true)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1696,plain,
! [X2,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,X2,X0),true,ifeq(product(X1,additive_identity,additive_identity),true,true,true),true),true),
inference(superposition,[],[f232,f7]) ).
fof(f1601,plain,
( spl0_55
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1590,f1567,f1599]) ).
fof(f1590,plain,
( ! [X2,X3,X1] : true = ifeq(product(X3,X2,X3),true,ifeq(product(X2,X2,X1),true,true,true),true)
| ~ spl0_53 ),
inference(superposition,[],[f604,f1568]) ).
fof(f1574,plain,
( spl0_53
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1555,f1540,f1567]) ).
fof(f1555,plain,
( ! [X8,X9] : true = ifeq(product(X8,X9,X9),true,true,true)
| ~ spl0_51 ),
inference(superposition,[],[f1115,f1541]) ).
fof(f1573,plain,
( spl0_54
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1554,f1540,f1571]) ).
fof(f1554,plain,
( ! [X6,X7,X5] : true = ifeq(product(X5,X7,X7),true,ifeq(product(X5,X5,X6),true,true,true),true)
| ~ spl0_51 ),
inference(superposition,[],[f231,f1541]) ).
fof(f1569,plain,
( spl0_53
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1556,f1540,f1567]) ).
fof(f1556,plain,
( ! [X10,X11] : true = ifeq(product(X10,X11,X11),true,true,true)
| ~ spl0_51 ),
inference(superposition,[],[f1124,f1541]) ).
fof(f1563,plain,
( spl0_52
| ~ spl0_41
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1559,f1540,f1119,f1561]) ).
fof(f1561,plain,
( spl0_52
<=> ! [X14] : true = ifeq(product(multiplicative_identity,multiplicative_identity,X14),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1559,plain,
( ! [X14] : true = ifeq(product(multiplicative_identity,multiplicative_identity,X14),true,true,true)
| ~ spl0_41
| ~ spl0_51 ),
inference(superposition,[],[f1120,f1541]) ).
fof(f1542,plain,
( spl0_51
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1538,f1535,f1540]) ).
fof(f1535,plain,
( spl0_50
<=> ! [X0] : true = ifeq(product(X0,additive_identity,X0),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1538,plain,
( ! [X2,X3] : true = ifeq(product(X3,X2,X3),true,true,true)
| ~ spl0_50 ),
inference(backward_demodulation,[],[f1485,f1536]) ).
fof(f1536,plain,
( ! [X0] : true = ifeq(product(X0,additive_identity,X0),true,true,true)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1485,plain,
! [X2,X3] : true = ifeq(product(X3,X2,X3),true,ifeq(product(X2,additive_identity,X2),true,true,true),true),
inference(forward_demodulation,[],[f1447,f2]) ).
fof(f1447,plain,
! [X2,X3] : true = ifeq(product(X3,X2,X3),true,ifeq(product(X2,additive_identity,X2),true,ifeq(true,true,true,true),true),true),
inference(superposition,[],[f1029,f8]) ).
fof(f1537,plain,
( spl0_50
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1533,f1508,f1535]) ).
fof(f1508,plain,
( spl0_48
<=> true = ifeq(product(multiplicative_identity,additive_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1533,plain,
( ! [X0] : true = ifeq(product(X0,additive_identity,X0),true,true,true)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1529,f1510]) ).
fof(f1510,plain,
( true = ifeq(product(multiplicative_identity,additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1529,plain,
( ! [X0] : true = ifeq(product(X0,additive_identity,X0),true,ifeq(product(multiplicative_identity,additive_identity,multiplicative_identity),true,true,true),true)
| ~ spl0_48 ),
inference(superposition,[],[f604,f1510]) ).
fof(f1525,plain,
( spl0_49
| ~ spl0_42
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1515,f1501,f1295,f1521]) ).
fof(f1521,plain,
( spl0_49
<=> true = ifeq(product(additive_identity,multiplicative_identity,multiplicative_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1501,plain,
( spl0_47
<=> true = ifeq(product(multiplicative_identity,multiplicative_identity,additive_identity),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1515,plain,
( true = ifeq(product(additive_identity,multiplicative_identity,multiplicative_identity),true,true,true)
| ~ spl0_42
| ~ spl0_47 ),
inference(superposition,[],[f1296,f1503]) ).
fof(f1503,plain,
( true = ifeq(product(multiplicative_identity,multiplicative_identity,additive_identity),true,true,true)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f1524,plain,
( spl0_49
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1519,f1501,f1521]) ).
fof(f1519,plain,
( true = ifeq(product(additive_identity,multiplicative_identity,multiplicative_identity),true,true,true)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1518,f2]) ).
fof(f1518,plain,
( true = ifeq(true,true,ifeq(product(additive_identity,multiplicative_identity,multiplicative_identity),true,true,true),true)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1516,f10]) ).
fof(f1516,plain,
( ! [X0] : true = ifeq(product(X0,multiplicative_identity,X0),true,ifeq(product(additive_identity,multiplicative_identity,multiplicative_identity),true,true,true),true)
| ~ spl0_47 ),
inference(superposition,[],[f604,f1503]) ).
fof(f1511,plain,
( spl0_48
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1493,f389,f1508]) ).
fof(f1493,plain,
( true = ifeq(product(multiplicative_identity,additive_identity,multiplicative_identity),true,true,true)
| ~ spl0_18 ),
inference(superposition,[],[f1475,f391]) ).
fof(f1475,plain,
! [X12] : true = ifeq(product(X12,inverse(X12),X12),true,true,true),
inference(forward_demodulation,[],[f1474,f2]) ).
fof(f1474,plain,
! [X12] : true = ifeq(true,true,ifeq(product(X12,inverse(X12),X12),true,true,true),true),
inference(forward_demodulation,[],[f1473,f10]) ).
fof(f1473,plain,
! [X12,X13] : true = ifeq(product(X13,multiplicative_identity,X13),true,ifeq(product(X12,inverse(X12),X12),true,true,true),true),
inference(forward_demodulation,[],[f1451,f2]) ).
fof(f1451,plain,
! [X12,X13] : true = ifeq(product(X13,multiplicative_identity,X13),true,ifeq(product(X12,inverse(X12),X12),true,ifeq(true,true,true,true),true),true),
inference(superposition,[],[f1029,f20]) ).
fof(f20,axiom,
! [X3] : true = sum(X3,inverse(X3),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f1504,plain,
( spl0_47
| ~ spl0_18
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1499,f1119,f389,f1501]) ).
fof(f1499,plain,
( true = ifeq(product(multiplicative_identity,multiplicative_identity,additive_identity),true,true,true)
| ~ spl0_18
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1498,f391]) ).
fof(f1498,plain,
( true = ifeq(product(multiplicative_identity,multiplicative_identity,inverse(multiplicative_identity)),true,true,true)
| ~ spl0_41 ),
inference(superposition,[],[f1120,f1475]) ).
fof(f1490,plain,
( spl0_46
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1486,f57,f1488]) ).
fof(f1488,plain,
( spl0_46
<=> ! [X15] : true = ifeq(product(X15,z,X15),true,ifeq(product(y,x,y),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1486,plain,
( ! [X15] : true = ifeq(product(X15,z,X15),true,ifeq(product(y,x,y),true,true,true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1453,f2]) ).
fof(f1453,plain,
( ! [X15] : true = ifeq(product(X15,z,X15),true,ifeq(product(y,x,y),true,ifeq(true,true,true,true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f1029,f59]) ).
fof(f1484,plain,
( spl0_45
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1480,f159,f1482]) ).
fof(f1482,plain,
( spl0_45
<=> ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(additive_identity,multiplicative_identity,X6),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1480,plain,
( ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(additive_identity,multiplicative_identity,X6),true,true,true),true)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1479,f161]) ).
fof(f1479,plain,
! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(additive_identity,inverse(additive_identity),X6),true,true,true),true),
inference(forward_demodulation,[],[f1445,f2]) ).
fof(f1445,plain,
! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(true,true,ifeq(sum(additive_identity,inverse(additive_identity),X6),true,true,true),true),true),
inference(superposition,[],[f1029,f22]) ).
fof(f1472,plain,
spl0_43,
inference(avatar_split_clause,[],[f1471,f1457]) ).
fof(f1471,plain,
! [X0,X1] : true = ifeq(product(X0,X1,X0),true,ifeq(sum(X0,X1,multiplicative_identity),true,true,true),true),
inference(forward_demodulation,[],[f1440,f2]) ).
fof(f1440,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(product(X0,X1,X0),true,ifeq(sum(X0,X1,multiplicative_identity),true,true,true),true),true),
inference(superposition,[],[f1029,f9]) ).
fof(f1470,plain,
( spl0_44
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1466,f28,f1468]) ).
fof(f1468,plain,
( spl0_44
<=> ! [X14] : true = ifeq(product(X14,z,X14),true,ifeq(product(x,y,x),true,true,true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1466,plain,
( ! [X14] : true = ifeq(product(X14,z,X14),true,ifeq(product(x,y,x),true,true,true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1452,f2]) ).
fof(f1452,plain,
( ! [X14] : true = ifeq(product(X14,z,X14),true,ifeq(product(x,y,x),true,ifeq(true,true,true,true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f1029,f30]) ).
fof(f1465,plain,
spl0_43,
inference(avatar_split_clause,[],[f1464,f1457]) ).
fof(f1464,plain,
! [X3,X4] : true = ifeq(product(X3,X4,X3),true,ifeq(sum(X3,X4,multiplicative_identity),true,true,true),true),
inference(forward_demodulation,[],[f1441,f2]) ).
fof(f1441,plain,
! [X3,X4] : true = ifeq(true,true,ifeq(product(X3,X4,X3),true,ifeq(sum(X3,X4,multiplicative_identity),true,true,true),true),true),
inference(superposition,[],[f1029,f10]) ).
fof(f1459,plain,
( spl0_43
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1455,f159,f1457]) ).
fof(f1455,plain,
( ! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(X5,X6,multiplicative_identity),true,true,true),true)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1454,f161]) ).
fof(f1454,plain,
! [X6,X5] : true = ifeq(product(X5,X6,X5),true,ifeq(sum(X5,X6,inverse(additive_identity)),true,true,true),true),
inference(forward_demodulation,[],[f1442,f2]) ).
fof(f1442,plain,
! [X6,X5] : true = ifeq(true,true,ifeq(product(X5,X6,X5),true,ifeq(sum(X5,X6,inverse(additive_identity)),true,true,true),true),true),
inference(superposition,[],[f1029,f22]) ).
fof(f1309,plain,
spl0_42,
inference(avatar_split_clause,[],[f1308,f1295]) ).
fof(f1308,plain,
! [X3,X4] : true = ifeq(product(X3,multiplicative_identity,X4),true,ifeq(product(X4,multiplicative_identity,X3),true,true,true),true),
inference(forward_demodulation,[],[f1267,f2]) ).
fof(f1267,plain,
! [X3,X4] : true = ifeq(true,true,ifeq(product(X3,multiplicative_identity,X4),true,ifeq(product(X4,multiplicative_identity,X3),true,true,true),true),true),
inference(superposition,[],[f604,f10]) ).
fof(f1303,plain,
spl0_42,
inference(avatar_split_clause,[],[f1302,f1295]) ).
fof(f1302,plain,
! [X0,X1] : true = ifeq(product(X0,multiplicative_identity,X1),true,ifeq(product(X1,multiplicative_identity,X0),true,true,true),true),
inference(forward_demodulation,[],[f1266,f2]) ).
fof(f1266,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(product(X0,multiplicative_identity,X1),true,ifeq(product(X1,multiplicative_identity,X0),true,true,true),true),true),
inference(superposition,[],[f604,f9]) ).
fof(f1297,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1293,f159,f1295]) ).
fof(f1293,plain,
( ! [X6,X5] : true = ifeq(product(X5,multiplicative_identity,X6),true,ifeq(product(X6,multiplicative_identity,X5),true,true,true),true)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1292,f161]) ).
fof(f1292,plain,
! [X6,X5] : true = ifeq(product(X5,inverse(additive_identity),X6),true,ifeq(product(X6,inverse(additive_identity),X5),true,true,true),true),
inference(forward_demodulation,[],[f1268,f2]) ).
fof(f1268,plain,
! [X6,X5] : true = ifeq(true,true,ifeq(product(X5,inverse(additive_identity),X6),true,ifeq(product(X6,inverse(additive_identity),X5),true,true,true),true),true),
inference(superposition,[],[f604,f22]) ).
fof(f1132,plain,
spl0_41,
inference(avatar_split_clause,[],[f1131,f1119]) ).
fof(f1131,plain,
! [X3,X4] : true = ifeq(product(multiplicative_identity,X3,X4),true,ifeq(product(multiplicative_identity,X4,X3),true,true,true),true),
inference(forward_demodulation,[],[f1101,f2]) ).
fof(f1101,plain,
! [X3,X4] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X3,X4),true,ifeq(product(multiplicative_identity,X4,X3),true,true,true),true),true),
inference(superposition,[],[f231,f10]) ).
fof(f1127,plain,
spl0_41,
inference(avatar_split_clause,[],[f1126,f1119]) ).
fof(f1126,plain,
! [X2,X1] : true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(multiplicative_identity,X2,X1),true,true,true),true),
inference(forward_demodulation,[],[f1100,f2]) ).
fof(f1100,plain,
! [X2,X1] : true = ifeq(true,true,ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(multiplicative_identity,X2,X1),true,true,true),true),true),
inference(superposition,[],[f231,f9]) ).
fof(f1121,plain,
( spl0_41
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1117,f159,f1119]) ).
fof(f1117,plain,
( ! [X6,X5] : true = ifeq(product(multiplicative_identity,X5,X6),true,ifeq(product(multiplicative_identity,X6,X5),true,true,true),true)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1116,f161]) ).
fof(f1116,plain,
! [X6,X5] : true = ifeq(product(inverse(additive_identity),X5,X6),true,ifeq(product(inverse(additive_identity),X6,X5),true,true,true),true),
inference(forward_demodulation,[],[f1102,f2]) ).
fof(f1102,plain,
! [X6,X5] : true = ifeq(true,true,ifeq(product(inverse(additive_identity),X5,X6),true,ifeq(product(inverse(additive_identity),X6,X5),true,true,true),true),true),
inference(superposition,[],[f231,f21]) ).
fof(f1069,plain,
( spl0_40
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1065,f57,f1067]) ).
fof(f1067,plain,
( spl0_40
<=> ! [X38,X36,X39,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(x,X38,X39),true,ifeq(sum(y,X38,X36),true,sum(y,X39,X37),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1065,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(x,X38,X39),true,ifeq(sum(y,X38,X36),true,sum(y,X39,X37),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1020,f2]) ).
fof(f1020,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(x,X38,X39),true,ifeq(sum(y,X38,X36),true,ifeq(true,true,sum(y,X39,X37),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f16,f59]) ).
fof(f1063,plain,
( spl0_39
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1028,f57,f1061]) ).
fof(f1061,plain,
( spl0_39
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X38,X39,x),true,ifeq(sum(y,X39,X37),true,ifeq(sum(y,X38,X36),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1028,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X38,X39,x),true,ifeq(sum(y,X39,X37),true,ifeq(sum(y,X38,X36),true,true,true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f16,f59]) ).
fof(f1058,plain,
( spl0_38
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1054,f28,f1056]) ).
fof(f1056,plain,
( spl0_38
<=> ! [X35,X34,X33,X32] : true = ifeq(product(z,X32,X33),true,ifeq(product(y,X34,X35),true,ifeq(sum(x,X34,X32),true,sum(x,X35,X33),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1054,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(z,X32,X33),true,ifeq(product(y,X34,X35),true,ifeq(sum(x,X34,X32),true,sum(x,X35,X33),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1019,f2]) ).
fof(f1019,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(z,X32,X33),true,ifeq(product(y,X34,X35),true,ifeq(sum(x,X34,X32),true,ifeq(true,true,sum(x,X35,X33),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f16,f30]) ).
fof(f1052,plain,
( spl0_37
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1048,f57,f1050]) ).
fof(f1050,plain,
( spl0_37
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X38,x,X39),true,ifeq(sum(y,X38,X36),true,sum(y,X39,X37),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1048,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X38,x,X39),true,ifeq(sum(y,X38,X36),true,sum(y,X39,X37),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1012,f2]) ).
fof(f1012,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X38,x,X39),true,ifeq(true,true,ifeq(sum(y,X38,X36),true,sum(y,X39,X37),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f16,f59]) ).
fof(f1046,plain,
( spl0_36
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1042,f28,f1044]) ).
fof(f1044,plain,
( spl0_36
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,z,X33),true,ifeq(product(X34,y,X35),true,ifeq(sum(x,X34,X32),true,sum(x,X35,X33),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1042,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,z,X33),true,ifeq(product(X34,y,X35),true,ifeq(sum(x,X34,X32),true,sum(x,X35,X33),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1011,f2]) ).
fof(f1011,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,z,X33),true,ifeq(product(X34,y,X35),true,ifeq(true,true,ifeq(sum(x,X34,X32),true,sum(x,X35,X33),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f16,f30]) ).
fof(f1036,plain,
( spl0_35
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1027,f28,f1034]) ).
fof(f1034,plain,
( spl0_35
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,z),true,ifeq(product(X34,X35,y),true,ifeq(sum(x,X35,X33),true,ifeq(sum(x,X34,X32),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1027,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(X34,X35,y),true,ifeq(sum(x,X35,X33),true,ifeq(sum(x,X34,X32),true,true,true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f16,f30]) ).
fof(f965,plain,
( spl0_34
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f961,f28,f963]) ).
fof(f963,plain,
( spl0_34
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,y),true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,product(X35,X34,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f961,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,product(X35,X34,z),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f891,f2]) ).
fof(f891,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(true,true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,product(X35,X34,z),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f15,f30]) ).
fof(f959,plain,
( spl0_33
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f955,f28,f957]) ).
fof(f957,plain,
( spl0_33
<=> ! [X35,X34,X33,X32] : true = ifeq(product(y,X32,X33),true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,product(z,X35,X34),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f955,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(y,X32,X33),true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,product(z,X35,X34),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f907,f2]) ).
fof(f907,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(y,X32,X33),true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,ifeq(true,true,product(z,X35,X34),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f15,f30]) ).
fof(f949,plain,
( spl0_32
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f945,f28,f947]) ).
fof(f947,plain,
( spl0_32
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,y,X33),true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,product(X35,z,X34),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f945,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,y,X33),true,ifeq(sum(x,X33,X34),true,ifeq(sum(x,X32,X35),true,product(X35,z,X34),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f899,f2]) ).
fof(f899,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,y,X33),true,ifeq(sum(x,X33,X34),true,ifeq(true,true,ifeq(sum(x,X32,X35),true,product(X35,z,X34),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f15,f30]) ).
fof(f942,plain,
( spl0_31
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f938,f57,f940]) ).
fof(f940,plain,
( spl0_31
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,x),true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,product(X39,X38,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f938,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,x),true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,product(X39,X38,z),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f892,f2]) ).
fof(f892,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,x),true,ifeq(true,true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,product(X39,X38,z),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f15,f59]) ).
fof(f936,plain,
( spl0_30
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f932,f57,f934]) ).
fof(f934,plain,
( spl0_30
<=> ! [X38,X36,X39,X37] : true = ifeq(product(x,X36,X37),true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,product(z,X39,X38),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f932,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(x,X36,X37),true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,product(z,X39,X38),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f908,f2]) ).
fof(f908,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(x,X36,X37),true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,ifeq(true,true,product(z,X39,X38),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f15,f59]) ).
fof(f929,plain,
( spl0_29
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f925,f57,f927]) ).
fof(f927,plain,
( spl0_29
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,x,X37),true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,product(X39,z,X38),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f925,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,x,X37),true,ifeq(sum(y,X37,X38),true,ifeq(sum(y,X36,X39),true,product(X39,z,X38),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f900,f2]) ).
fof(f900,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,x,X37),true,ifeq(sum(y,X37,X38),true,ifeq(true,true,ifeq(sum(y,X36,X39),true,product(X39,z,X38),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f15,f59]) ).
fof(f876,plain,
( spl0_28
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f872,f28,f874]) ).
fof(f874,plain,
( spl0_28
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,y),true,ifeq(product(X34,X33,x),true,ifeq(sum(X34,X32,X35),true,product(X35,X33,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f872,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(product(X34,X33,x),true,ifeq(sum(X34,X32,X35),true,product(X35,X33,z),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f819,f2]) ).
fof(f819,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(product(X34,X33,x),true,ifeq(true,true,ifeq(sum(X34,X32,X35),true,product(X35,X33,z),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f14,f30]) ).
fof(f870,plain,
( spl0_27
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f866,f57,f868]) ).
fof(f868,plain,
( spl0_27
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,x),true,ifeq(product(X38,X37,y),true,ifeq(sum(X38,X36,X39),true,product(X39,X37,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f866,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,x),true,ifeq(product(X38,X37,y),true,ifeq(sum(X38,X36,X39),true,product(X39,X37,z),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f820,f2]) ).
fof(f820,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,x),true,ifeq(product(X38,X37,y),true,ifeq(true,true,ifeq(sum(X38,X36,X39),true,product(X39,X37,z),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f14,f59]) ).
fof(f862,plain,
( spl0_26
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f858,f57,f860]) ).
fof(f860,plain,
( spl0_26
<=> ! [X38,X36,X39,X37] : true = ifeq(product(x,X36,X37),true,ifeq(product(y,X36,X38),true,ifeq(sum(X38,X37,X39),true,product(z,X36,X39),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f858,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(x,X36,X37),true,ifeq(product(y,X36,X38),true,ifeq(sum(X38,X37,X39),true,product(z,X36,X39),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f828,f2]) ).
fof(f828,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(x,X36,X37),true,ifeq(product(y,X36,X38),true,ifeq(sum(X38,X37,X39),true,ifeq(true,true,product(z,X36,X39),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f14,f59]) ).
fof(f856,plain,
( spl0_25
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f852,f28,f854]) ).
fof(f854,plain,
( spl0_25
<=> ! [X35,X34,X33,X32] : true = ifeq(product(y,X32,X33),true,ifeq(product(x,X32,X34),true,ifeq(sum(X34,X33,X35),true,product(z,X32,X35),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f852,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(y,X32,X33),true,ifeq(product(x,X32,X34),true,ifeq(sum(X34,X33,X35),true,product(z,X32,X35),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f827,f2]) ).
fof(f827,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(y,X32,X33),true,ifeq(product(x,X32,X34),true,ifeq(sum(X34,X33,X35),true,ifeq(true,true,product(z,X32,X35),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f14,f30]) ).
fof(f639,plain,
( spl0_24
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f635,f57,f637]) ).
fof(f637,plain,
( spl0_24
<=> ! [X38,X36,X39,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(x,X36,X38),true,ifeq(product(y,X36,X39),true,sum(X39,X38,X37),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f635,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(x,X36,X38),true,ifeq(product(y,X36,X39),true,sum(X39,X38,X37),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f595,f2]) ).
fof(f595,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(z,X36,X37),true,ifeq(product(x,X36,X38),true,ifeq(product(y,X36,X39),true,ifeq(true,true,sum(X39,X38,X37),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f13,f59]) ).
fof(f634,plain,
( spl0_23
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f630,f28,f632]) ).
fof(f632,plain,
( spl0_23
<=> ! [X35,X34,X33,X32] : true = ifeq(product(z,X32,X33),true,ifeq(product(y,X32,X34),true,ifeq(product(x,X32,X35),true,sum(X35,X34,X33),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f630,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(z,X32,X33),true,ifeq(product(y,X32,X34),true,ifeq(product(x,X32,X35),true,sum(X35,X34,X33),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f594,f2]) ).
fof(f594,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(z,X32,X33),true,ifeq(product(y,X32,X34),true,ifeq(product(x,X32,X35),true,ifeq(true,true,sum(X35,X34,X33),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f13,f30]) ).
fof(f624,plain,
( spl0_22
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f603,f57,f622]) ).
fof(f622,plain,
( spl0_22
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X38,X37,x),true,ifeq(product(X39,X37,y),true,ifeq(sum(X39,X38,X36),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f603,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X38,X37,x),true,ifeq(product(X39,X37,y),true,ifeq(sum(X39,X38,X36),true,true,true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f13,f59]) ).
fof(f610,plain,
( spl0_21
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f602,f28,f608]) ).
fof(f608,plain,
( spl0_21
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,z),true,ifeq(product(X34,X33,y),true,ifeq(product(X35,X33,x),true,ifeq(sum(X35,X34,X32),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f602,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(X34,X33,y),true,ifeq(product(X35,X33,x),true,ifeq(sum(X35,X34,X32),true,true,true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f13,f30]) ).
fof(f443,plain,
( spl0_20
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f438,f118,f440]) ).
fof(f440,plain,
( spl0_20
<=> z = add(y,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f118,plain,
( spl0_5
<=> ! [X14] : ifeq2(sum(x,y,X14),true,z,X14) = X14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f438,plain,
( z = add(y,x)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f429,f1]) ).
fof(f429,plain,
( add(y,x) = ifeq2(true,true,z,add(y,x))
| ~ spl0_5 ),
inference(superposition,[],[f119,f68]) ).
fof(f119,plain,
( ! [X14] : ifeq2(sum(x,y,X14),true,z,X14) = X14
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f437,plain,
( spl0_19
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f432,f118,f434]) ).
fof(f434,plain,
( spl0_19
<=> z = add(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f432,plain,
( z = add(x,y)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f428,f1]) ).
fof(f428,plain,
( ifeq2(true,true,z,add(x,y)) = add(x,y)
| ~ spl0_5 ),
inference(superposition,[],[f119,f3]) ).
fof(f392,plain,
spl0_18,
inference(avatar_split_clause,[],[f387,f389]) ).
fof(f387,plain,
additive_identity = inverse(multiplicative_identity),
inference(forward_demodulation,[],[f381,f1]) ).
fof(f381,plain,
additive_identity = ifeq2(true,true,inverse(multiplicative_identity),additive_identity),
inference(superposition,[],[f179,f22]) ).
fof(f347,plain,
( spl0_17
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f343,f57,f345]) ).
fof(f345,plain,
( spl0_17
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,x,X37),true,ifeq(product(X36,y,X38),true,ifeq(sum(X38,X37,X39),true,product(X36,z,X39),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f343,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,x,X37),true,ifeq(product(X36,y,X38),true,ifeq(sum(X38,X37,X39),true,product(X36,z,X39),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f301,f2]) ).
fof(f301,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,x,X37),true,ifeq(product(X36,y,X38),true,ifeq(sum(X38,X37,X39),true,ifeq(true,true,product(X36,z,X39),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f12,f59]) ).
fof(f341,plain,
( spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f337,f57,f339]) ).
fof(f339,plain,
( spl0_16
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,x),true,ifeq(product(X36,X38,y),true,ifeq(sum(X38,X37,X39),true,product(X36,X39,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f337,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,x),true,ifeq(product(X36,X38,y),true,ifeq(sum(X38,X37,X39),true,product(X36,X39,z),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f293,f2]) ).
fof(f293,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,x),true,ifeq(product(X36,X38,y),true,ifeq(true,true,ifeq(sum(X38,X37,X39),true,product(X36,X39,z),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f12,f59]) ).
fof(f332,plain,
( spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f328,f28,f330]) ).
fof(f330,plain,
( spl0_15
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,y),true,ifeq(product(X32,X34,x),true,ifeq(sum(X34,X33,X35),true,product(X32,X35,z),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f328,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(product(X32,X34,x),true,ifeq(sum(X34,X33,X35),true,product(X32,X35,z),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f292,f2]) ).
fof(f292,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,y),true,ifeq(product(X32,X34,x),true,ifeq(true,true,ifeq(sum(X34,X33,X35),true,product(X32,X35,z),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f12,f30]) ).
fof(f318,plain,
( spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f314,f28,f316]) ).
fof(f316,plain,
( spl0_14
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,y,X33),true,ifeq(product(X32,x,X34),true,ifeq(sum(X34,X33,X35),true,product(X32,z,X35),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f314,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,y,X33),true,ifeq(product(X32,x,X34),true,ifeq(sum(X34,X33,X35),true,product(X32,z,X35),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f300,f2]) ).
fof(f300,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,y,X33),true,ifeq(product(X32,x,X34),true,ifeq(sum(X34,X33,X35),true,ifeq(true,true,product(X32,z,X35),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f12,f30]) ).
fof(f257,plain,
( spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f230,f57,f255]) ).
fof(f255,plain,
( spl0_13
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X36,X38,x),true,ifeq(product(X36,X39,y),true,ifeq(sum(X39,X38,X37),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f230,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,X37,z),true,ifeq(product(X36,X38,x),true,ifeq(product(X36,X39,y),true,ifeq(sum(X39,X38,X37),true,true,true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f11,f59]) ).
fof(f253,plain,
( spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f249,f28,f251]) ).
fof(f251,plain,
( spl0_12
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,z,X33),true,ifeq(product(X32,y,X34),true,ifeq(product(X32,x,X35),true,sum(X35,X34,X33),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f249,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,z,X33),true,ifeq(product(X32,y,X34),true,ifeq(product(X32,x,X35),true,sum(X35,X34,X33),true),true),true)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f221,f2]) ).
fof(f221,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,z,X33),true,ifeq(product(X32,y,X34),true,ifeq(product(X32,x,X35),true,ifeq(true,true,sum(X35,X34,X33),true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f11,f30]) ).
fof(f247,plain,
( spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f229,f28,f245]) ).
fof(f245,plain,
( spl0_11
<=> ! [X35,X34,X33,X32] : true = ifeq(product(X32,X33,z),true,ifeq(product(X32,X34,y),true,ifeq(product(X32,X35,x),true,ifeq(sum(X35,X34,X33),true,true,true),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f229,plain,
( ! [X34,X35,X32,X33] : true = ifeq(product(X32,X33,z),true,ifeq(product(X32,X34,y),true,ifeq(product(X32,X35,x),true,ifeq(sum(X35,X34,X33),true,true,true),true),true),true)
| ~ spl0_1 ),
inference(superposition,[],[f11,f30]) ).
fof(f239,plain,
( spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f235,f57,f237]) ).
fof(f237,plain,
( spl0_10
<=> ! [X38,X36,X39,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X36,x,X38),true,ifeq(product(X36,y,X39),true,sum(X39,X38,X37),true),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f235,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X36,x,X38),true,ifeq(product(X36,y,X39),true,sum(X39,X38,X37),true),true),true)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f222,f2]) ).
fof(f222,plain,
( ! [X38,X39,X36,X37] : true = ifeq(product(X36,z,X37),true,ifeq(product(X36,x,X38),true,ifeq(product(X36,y,X39),true,ifeq(true,true,sum(X39,X38,X37),true),true),true),true)
| ~ spl0_3 ),
inference(superposition,[],[f11,f59]) ).
fof(f162,plain,
spl0_9,
inference(avatar_split_clause,[],[f157,f159]) ).
fof(f157,plain,
multiplicative_identity = inverse(additive_identity),
inference(forward_demodulation,[],[f155,f1]) ).
fof(f155,plain,
inverse(additive_identity) = ifeq2(true,true,multiplicative_identity,inverse(additive_identity)),
inference(superposition,[],[f121,f19]) ).
fof(f142,plain,
( spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f138,f57,f140]) ).
fof(f140,plain,
( spl0_8
<=> ! [X15] : ifeq2(sum(y,x,X15),true,z,X15) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f138,plain,
( ! [X15] : ifeq2(sum(y,x,X15),true,z,X15) = X15
| ~ spl0_3 ),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
( ! [X15] : ifeq2(sum(y,x,X15),true,ifeq2(true,true,z,X15),X15) = X15
| ~ spl0_3 ),
inference(superposition,[],[f23,f59]) ).
fof(f134,plain,
( spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f130,f57,f132]) ).
fof(f132,plain,
( spl0_7
<=> ! [X15] : z = ifeq2(sum(y,x,X15),true,X15,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f130,plain,
( ! [X15] : z = ifeq2(sum(y,x,X15),true,X15,z)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f106,f1]) ).
fof(f106,plain,
( ! [X15] : z = ifeq2(true,true,ifeq2(sum(y,x,X15),true,X15,z),z)
| ~ spl0_3 ),
inference(superposition,[],[f23,f59]) ).
fof(f126,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f122,f28,f124]) ).
fof(f124,plain,
( spl0_6
<=> ! [X14] : z = ifeq2(sum(x,y,X14),true,X14,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f122,plain,
( ! [X14] : z = ifeq2(sum(x,y,X14),true,X14,z)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f105,f1]) ).
fof(f105,plain,
( ! [X14] : z = ifeq2(true,true,ifeq2(sum(x,y,X14),true,X14,z),z)
| ~ spl0_1 ),
inference(superposition,[],[f23,f30]) ).
fof(f120,plain,
( spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f116,f28,f118]) ).
fof(f116,plain,
( ! [X14] : ifeq2(sum(x,y,X14),true,z,X14) = X14
| ~ spl0_1 ),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
( ! [X14] : ifeq2(sum(x,y,X14),true,ifeq2(true,true,z,X14),X14) = X14
| ~ spl0_1 ),
inference(superposition,[],[f23,f30]) ).
fof(f65,plain,
( spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f48,f28,f62]) ).
fof(f62,plain,
( spl0_4
<=> true = ifeq(sum(y,x,z),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f48,plain,
( true = ifeq(sum(y,x,z),true,true,true)
| ~ spl0_1 ),
inference(superposition,[],[f5,f30]) ).
fof(f60,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f55,f28,f57]) ).
fof(f55,plain,
( true = sum(y,x,z)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f42,f2]) ).
fof(f42,plain,
( true = ifeq(true,true,sum(y,x,z),true)
| ~ spl0_1 ),
inference(superposition,[],[f5,f30]) ).
fof(f36,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f26,f33]) ).
fof(f26,axiom,
true != product(x,z,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product) ).
fof(f31,plain,
spl0_1,
inference(avatar_split_clause,[],[f25,f28]) ).
fof(f25,axiom,
true = sum(x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO017-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 16:17:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (11209)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.21/0.48 % (11204)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (11193)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.51 % (11217)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.21/0.52 % (11204)Instruction limit reached!
% 0.21/0.52 % (11204)------------------------------
% 0.21/0.52 % (11204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (11204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (11204)Termination reason: Unknown
% 0.21/0.52 % (11204)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (11204)Memory used [KB]: 6396
% 0.21/0.52 % (11204)Time elapsed: 0.063 s
% 0.21/0.52 % (11204)Instructions burned: 38 (million)
% 0.21/0.52 % (11204)------------------------------
% 0.21/0.52 % (11204)------------------------------
% 0.21/0.52 % (11216)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.52 % (11199)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.52 % (11195)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (11197)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.52 % (11200)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (11196)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.53 % (11196)Instruction limit reached!
% 0.21/0.53 % (11196)------------------------------
% 0.21/0.53 % (11196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11196)Termination reason: Unknown
% 0.21/0.53 % (11196)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11196)Memory used [KB]: 5500
% 0.21/0.53 % (11196)Time elapsed: 0.117 s
% 0.21/0.53 % (11196)Instructions burned: 7 (million)
% 0.21/0.53 % (11196)------------------------------
% 0.21/0.53 % (11196)------------------------------
% 0.21/0.53 % (11208)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.21/0.53 % (11218)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.21/0.53 % (11215)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.21/0.53 % (11219)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53 % (11220)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.53 % (11213)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.53 % (11223)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.21/0.54 % (11224)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54 % (11194)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.21/0.54 % (11221)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.21/0.54 % (11214)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.21/0.54 % (11212)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.43/0.54 % (11210)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.43/0.54 % (11207)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.43/0.55 % (11200)Instruction limit reached!
% 1.43/0.55 % (11200)------------------------------
% 1.43/0.55 % (11200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (11200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (11200)Termination reason: Unknown
% 1.43/0.55 % (11200)Termination phase: Saturation
% 1.43/0.55
% 1.43/0.55 % (11200)Memory used [KB]: 5628
% 1.43/0.55 % (11200)Time elapsed: 0.136 s
% 1.43/0.55 % (11200)Instructions burned: 7 (million)
% 1.43/0.55 % (11200)------------------------------
% 1.43/0.55 % (11200)------------------------------
% 1.43/0.55 % (11211)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 1.43/0.55 % (11201)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.43/0.55 % (11202)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.43/0.55 % (11199)Instruction limit reached!
% 1.43/0.55 % (11199)------------------------------
% 1.43/0.55 % (11199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (11199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (11199)Termination reason: Unknown
% 1.43/0.55 % (11199)Termination phase: Saturation
% 1.43/0.55
% 1.43/0.55 % (11199)Memory used [KB]: 6140
% 1.43/0.55 % (11199)Time elapsed: 0.128 s
% 1.43/0.55 % (11199)Instructions burned: 21 (million)
% 1.43/0.55 % (11199)------------------------------
% 1.43/0.55 % (11199)------------------------------
% 1.43/0.55 % (11203)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.43/0.55 % (11205)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.43/0.55 % (11206)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 1.43/0.56 % (11194)Instruction limit reached!
% 1.43/0.56 % (11194)------------------------------
% 1.43/0.56 % (11194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56 % (11194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56 % (11194)Termination reason: Unknown
% 1.43/0.56 % (11194)Termination phase: Saturation
% 1.43/0.56
% 1.43/0.56 % (11194)Memory used [KB]: 5756
% 1.43/0.56 % (11194)Time elapsed: 0.140 s
% 1.43/0.56 % (11194)Instructions burned: 10 (million)
% 1.43/0.56 % (11194)------------------------------
% 1.43/0.56 % (11194)------------------------------
% 1.65/0.59 % (11201)Instruction limit reached!
% 1.65/0.59 % (11201)------------------------------
% 1.65/0.59 % (11201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (11195)Instruction limit reached!
% 1.65/0.60 % (11195)------------------------------
% 1.65/0.60 % (11195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (11195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (11195)Termination reason: Unknown
% 1.65/0.60 % (11195)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (11195)Memory used [KB]: 6652
% 1.65/0.60 % (11195)Time elapsed: 0.174 s
% 1.65/0.60 % (11195)Instructions burned: 37 (million)
% 1.65/0.60 % (11195)------------------------------
% 1.65/0.60 % (11195)------------------------------
% 1.65/0.60 % (11202)Instruction limit reached!
% 1.65/0.60 % (11202)------------------------------
% 1.65/0.60 % (11202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (11202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (11202)Termination reason: Unknown
% 1.65/0.60 % (11202)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (11202)Memory used [KB]: 11001
% 1.65/0.60 % (11202)Time elapsed: 0.191 s
% 1.65/0.60 % (11202)Instructions burned: 37 (million)
% 1.65/0.60 % (11202)------------------------------
% 1.65/0.60 % (11202)------------------------------
% 1.65/0.60 % (11201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (11201)Termination reason: Unknown
% 1.65/0.60 % (11201)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (11201)Memory used [KB]: 6396
% 1.65/0.60 % (11201)Time elapsed: 0.165 s
% 1.65/0.60 % (11201)Instructions burned: 33 (million)
% 1.65/0.60 % (11201)------------------------------
% 1.65/0.60 % (11201)------------------------------
% 1.65/0.60 % (11224)Instruction limit reached!
% 1.65/0.60 % (11224)------------------------------
% 1.65/0.60 % (11224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (11224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (11224)Termination reason: Unknown
% 1.65/0.60 % (11224)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (11224)Memory used [KB]: 6652
% 1.65/0.60 % (11224)Time elapsed: 0.188 s
% 1.65/0.60 % (11224)Instructions burned: 49 (million)
% 1.65/0.60 % (11224)------------------------------
% 1.65/0.60 % (11224)------------------------------
% 1.65/0.60 % (11197)Instruction limit reached!
% 1.65/0.60 % (11197)------------------------------
% 1.65/0.60 % (11197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (11197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (11197)Termination reason: Unknown
% 1.65/0.60 % (11197)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (11197)Memory used [KB]: 6652
% 1.65/0.60 % (11197)Time elapsed: 0.200 s
% 1.65/0.60 % (11197)Instructions burned: 48 (million)
% 1.65/0.60 % (11197)------------------------------
% 1.65/0.60 % (11197)------------------------------
% 1.65/0.61 % (11308)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/257Mi)
% 1.65/0.61 % (11210)Instruction limit reached!
% 1.65/0.61 % (11210)------------------------------
% 1.65/0.61 % (11210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61 % (11210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61 % (11210)Termination reason: Unknown
% 1.65/0.61 % (11210)Termination phase: Saturation
% 1.65/0.61
% 1.65/0.61 % (11210)Memory used [KB]: 6652
% 1.65/0.61 % (11210)Time elapsed: 0.189 s
% 1.65/0.61 % (11210)Instructions burned: 50 (million)
% 1.65/0.61 % (11210)------------------------------
% 1.65/0.61 % (11210)------------------------------
% 1.65/0.63 % (11205)Instruction limit reached!
% 1.65/0.63 % (11205)------------------------------
% 1.65/0.63 % (11205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (11205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63 % (11205)Termination reason: Unknown
% 1.65/0.63 % (11205)Termination phase: Saturation
% 1.65/0.63
% 1.65/0.63 % (11205)Memory used [KB]: 6396
% 1.65/0.63 % (11205)Time elapsed: 0.222 s
% 1.65/0.63 % (11205)Instructions burned: 50 (million)
% 1.65/0.63 % (11205)------------------------------
% 1.65/0.63 % (11205)------------------------------
% 2.14/0.64 % (11203)Instruction limit reached!
% 2.14/0.64 % (11203)------------------------------
% 2.14/0.64 % (11203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (11203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64 % (11203)Termination reason: Unknown
% 2.14/0.64 % (11203)Termination phase: Saturation
% 2.14/0.64
% 2.14/0.64 % (11203)Memory used [KB]: 6908
% 2.14/0.64 % (11203)Time elapsed: 0.170 s
% 2.14/0.64 % (11203)Instructions burned: 47 (million)
% 2.14/0.64 % (11203)------------------------------
% 2.14/0.64 % (11203)------------------------------
% 2.14/0.66 % (11208)Refutation not found, incomplete strategy% (11208)------------------------------
% 2.14/0.66 % (11208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66 % (11208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66 % (11208)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.66
% 2.14/0.66 % (11208)Memory used [KB]: 6268
% 2.14/0.66 % (11208)Time elapsed: 0.239 s
% 2.14/0.66 % (11208)Instructions burned: 63 (million)
% 2.14/0.66 % (11208)------------------------------
% 2.14/0.66 % (11208)------------------------------
% 2.33/0.67 % (11335)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=402:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/402Mi)
% 2.33/0.68 % (11327)lrs+10_1:3_acc=on:amm=off:avsq=on:avsqr=1729,253:bs=on:drc=off:fsr=off:lwlo=on:sac=on:slsq=on:slsqc=2:slsql=off:slsqr=1,8:sp=weighted_frequency:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/463Mi)
% 2.33/0.70 % (11331)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 2.33/0.70 % (11328)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/292Mi)
% 2.33/0.71 % (11217)Instruction limit reached!
% 2.33/0.71 % (11217)------------------------------
% 2.33/0.71 % (11217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.72 % (11217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.72 % (11217)Termination reason: Unknown
% 2.33/0.72 % (11217)Termination phase: Saturation
% 2.33/0.72
% 2.33/0.72 % (11217)Memory used [KB]: 6908
% 2.33/0.72 % (11217)Time elapsed: 0.287 s
% 2.33/0.72 % (11217)Instructions burned: 111 (million)
% 2.33/0.72 % (11217)------------------------------
% 2.33/0.72 % (11217)------------------------------
% 2.33/0.72 % (11213)Instruction limit reached!
% 2.33/0.72 % (11213)------------------------------
% 2.33/0.72 % (11213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.72 % (11213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.72 % (11213)Termination reason: Unknown
% 2.33/0.72 % (11213)Termination phase: Saturation
% 2.33/0.72
% 2.33/0.72 % (11213)Memory used [KB]: 6652
% 2.33/0.72 % (11213)Time elapsed: 0.281 s
% 2.33/0.72 % (11213)Instructions burned: 105 (million)
% 2.33/0.72 % (11213)------------------------------
% 2.33/0.72 % (11213)------------------------------
% 2.33/0.73 % (11357)lrs+10_1:512_av=off:awrs=converge:awrsf=8:bd=preordered:br=off:bsr=unit_only:drc=off:erd=off:foolp=on:fsd=on:gve=cautious:irw=on:kmz=on:kws=arity_squared:lcm=reverse:newcnf=on:nwc=5.0:plsq=on:plsqc=2:plsql=on:plsqr=9798671,477100:slsq=on:slsqc=1:slsqr=1,16:sp=weighted_frequency:spb=intro:tgt=full:updr=off:urr=on:uwa=ground:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/496Mi)
% 2.33/0.73 % (11209)Instruction limit reached!
% 2.33/0.73 % (11209)------------------------------
% 2.33/0.73 % (11209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.73 % (11209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.73 % (11209)Termination reason: Unknown
% 2.33/0.73 % (11209)Termination phase: Saturation
% 2.33/0.73
% 2.33/0.73 % (11209)Memory used [KB]: 8699
% 2.33/0.73 % (11209)Time elapsed: 0.266 s
% 2.33/0.73 % (11209)Instructions burned: 213 (million)
% 2.33/0.73 % (11209)------------------------------
% 2.33/0.73 % (11209)------------------------------
% 2.63/0.73 % (11364)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/381Mi)
% 2.63/0.74 % (11360)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/177Mi)
% 2.63/0.74 % (11358)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=312:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/312Mi)
% 2.63/0.74 % (11372)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1242Mi)
% 2.63/0.74 % (11372)Refutation not found, incomplete strategy% (11372)------------------------------
% 2.63/0.74 % (11372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (11372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (11372)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.74
% 2.63/0.74 % (11372)Memory used [KB]: 5373
% 2.63/0.74 % (11372)Time elapsed: 0.083 s
% 2.63/0.74 % (11372)------------------------------
% 2.63/0.74 % (11372)------------------------------
% 2.63/0.75 % (11361)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=1598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1598Mi)
% 2.63/0.75 % (11373)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=629:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/629Mi)
% 2.77/0.77 % (11359)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/248Mi)
% 2.77/0.80 % (11374)lrs+10_2:1_bd=preordered:bsr=unit_only:drc=off:fd=preordered:fde=none:lwlo=on:sp=reverse_frequency:ss=axioms:st=3.0:to=lpo:i=1575:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1575Mi)
% 3.03/0.85 % (11219)Instruction limit reached!
% 3.03/0.85 % (11219)------------------------------
% 3.03/0.85 % (11219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.85 % (11219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.85 % (11219)Termination reason: Unknown
% 3.03/0.85 % (11219)Termination phase: Saturation
% 3.03/0.85
% 3.03/0.85 % (11219)Memory used [KB]: 7675
% 3.03/0.85 % (11219)Time elapsed: 0.446 s
% 3.03/0.85 % (11219)Instructions burned: 178 (million)
% 3.03/0.85 % (11219)------------------------------
% 3.03/0.85 % (11219)------------------------------
% 3.03/0.85 % (11393)lrs+10_1:8_anc=all_dependent:atotf=0.2:drc=off:fde=unused:nicw=on:nwc=3.0:sas=z3:slsq=on:slsqc=1:slsqr=3,2:sp=reverse_frequency:i=4955:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4955Mi)
% 3.16/0.86 % (11398)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=1429:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1429Mi)
% 3.16/0.87 % (11402)lrs+1010_1:173_acc=on:aer=off:alpa=true:anc=none:avsq=on:avsqr=497233,912204:awrs=decay:awrsf=4:bce=on:bs=on:bsd=on:cond=on:drc=off:erd=off:flr=on:gsp=on:nicw=on:nm=16:nwc=3.0:sd=2:sfv=off:skr=on:sp=reverse_arity:ss=axioms:st=2.0:updr=off:urr=ec_only:i=2989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2989Mi)
% 3.16/0.87 % (11218)Instruction limit reached!
% 3.16/0.87 % (11218)------------------------------
% 3.16/0.87 % (11218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.88 % (11218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.88 % (11218)Termination reason: Unknown
% 3.16/0.88 % (11218)Termination phase: Saturation
% 3.16/0.88
% 3.16/0.88 % (11218)Memory used [KB]: 4349
% 3.16/0.88 % (11218)Time elapsed: 0.466 s
% 3.16/0.88 % (11218)Instructions burned: 249 (million)
% 3.16/0.88 % (11218)------------------------------
% 3.16/0.88 % (11218)------------------------------
% 3.16/0.88 % (11409)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=2096:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2096Mi)
% 3.16/0.89 % (11374)Refutation not found, incomplete strategy% (11374)------------------------------
% 3.16/0.89 % (11374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.90 % (11374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.90 % (11374)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.90
% 3.16/0.90 % (11374)Memory used [KB]: 6268
% 3.16/0.90 % (11374)Time elapsed: 0.192 s
% 3.16/0.90 % (11374)Instructions burned: 58 (million)
% 3.16/0.90 % (11374)------------------------------
% 3.16/0.90 % (11374)------------------------------
% 3.52/0.94 % (11211)Instruction limit reached!
% 3.52/0.94 % (11211)------------------------------
% 3.52/0.94 % (11211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.94 % (11211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.94 % (11211)Termination reason: Unknown
% 3.52/0.94 % (11211)Termination phase: Saturation
% 3.52/0.94
% 3.52/0.94 % (11211)Memory used [KB]: 8443
% 3.52/0.94 % (11211)Time elapsed: 0.520 s
% 3.52/0.94 % (11211)Instructions burned: 257 (million)
% 3.52/0.94 % (11211)------------------------------
% 3.52/0.94 % (11211)------------------------------
% 3.52/0.95 % (11220)Instruction limit reached!
% 3.52/0.95 % (11220)------------------------------
% 3.52/0.95 % (11220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.95 % (11220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.95 % (11220)Termination reason: Unknown
% 3.52/0.95 % (11220)Termination phase: Saturation
% 3.52/0.95
% 3.52/0.95 % (11220)Memory used [KB]: 3198
% 3.52/0.95 % (11220)Time elapsed: 0.548 s
% 3.52/0.95 % (11220)Instructions burned: 267 (million)
% 3.52/0.95 % (11220)------------------------------
% 3.52/0.95 % (11220)------------------------------
% 3.63/0.97 % (11452)lrs+10_1:16_drc=off:fde=none:spb=goal_then_units:to=lpo:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1345Mi)
% 3.63/0.98 % (11453)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/290Mi)
% 3.63/0.99 % (11216)Instruction limit reached!
% 3.63/0.99 % (11216)------------------------------
% 3.63/0.99 % (11216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/0.99 % (11216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/0.99 % (11216)Termination reason: Unknown
% 3.63/0.99 % (11216)Termination phase: Saturation
% 3.63/0.99
% 3.63/0.99 % (11216)Memory used [KB]: 11129
% 3.63/0.99 % (11216)Time elapsed: 0.285 s
% 3.63/0.99 % (11216)Instructions burned: 269 (million)
% 3.63/0.99 % (11216)------------------------------
% 3.63/0.99 % (11216)------------------------------
% 3.63/1.00 % (11454)dis+2_1:1_av=off:flr=on:plsq=on:plsqc=1:plsqr=32,1:sp=reverse_frequency:to=lpo:urr=ec_only:uwa=all:i=4705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4705Mi)
% 3.63/1.00 % (11402)Refutation not found, incomplete strategy% (11402)------------------------------
% 3.63/1.00 % (11402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/1.00 % (11402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/1.00 % (11402)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.00
% 3.63/1.00 % (11402)Memory used [KB]: 6396
% 3.63/1.00 % (11402)Time elapsed: 0.249 s
% 3.63/1.00 % (11402)Instructions burned: 65 (million)
% 3.63/1.00 % (11402)------------------------------
% 3.63/1.00 % (11402)------------------------------
% 3.63/1.01 % (11206)Instruction limit reached!
% 3.63/1.01 % (11206)------------------------------
% 3.63/1.01 % (11206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/1.01 % (11206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/1.01 % (11206)Termination reason: Unknown
% 3.63/1.01 % (11206)Termination phase: Saturation
% 3.63/1.01
% 3.63/1.01 % (11206)Memory used [KB]: 9722
% 3.63/1.01 % (11206)Time elapsed: 0.614 s
% 3.63/1.01 % (11206)Instructions burned: 293 (million)
% 3.63/1.01 % (11206)------------------------------
% 3.63/1.01 % (11206)------------------------------
% 3.86/1.04 % (11360)Instruction limit reached!
% 3.86/1.04 % (11360)------------------------------
% 3.86/1.04 % (11360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.86/1.04 % (11360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.86/1.04 % (11360)Termination reason: Unknown
% 3.86/1.04 % (11360)Termination phase: Saturation
% 3.86/1.04
% 3.86/1.04 % (11360)Memory used [KB]: 7803
% 3.86/1.04 % (11360)Time elapsed: 0.406 s
% 3.86/1.04 % (11360)Instructions burned: 178 (million)
% 3.86/1.04 % (11360)------------------------------
% 3.86/1.04 % (11360)------------------------------
% 3.86/1.05 % (11455)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2797:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2797Mi)
% 5.59/1.08 % (11308)Instruction limit reached!
% 5.59/1.08 % (11308)------------------------------
% 5.59/1.08 % (11308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.08 % (11308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.08 % (11308)Termination reason: Unknown
% 5.59/1.08 % (11308)Termination phase: Saturation
% 5.59/1.08
% 5.59/1.08 % (11308)Memory used [KB]: 8443
% 5.59/1.08 % (11308)Time elapsed: 0.499 s
% 5.59/1.08 % (11308)Instructions burned: 257 (million)
% 5.59/1.08 % (11308)------------------------------
% 5.59/1.08 % (11308)------------------------------
% 5.59/1.08 % (11456)dis+1011_1:32_tgt=ground:i=4929:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4929Mi)
% 5.59/1.09 % (11223)Instruction limit reached!
% 5.59/1.09 % (11223)------------------------------
% 5.59/1.09 % (11223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.09 % (11223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.09 % (11223)Termination reason: Unknown
% 5.59/1.09 % (11223)Termination phase: Saturation
% 5.59/1.09
% 5.59/1.09 % (11223)Memory used [KB]: 12792
% 5.59/1.09 % (11223)Time elapsed: 0.309 s
% 5.59/1.09 % (11223)Instructions burned: 381 (million)
% 5.59/1.09 % (11223)------------------------------
% 5.59/1.09 % (11223)------------------------------
% 5.59/1.11 % (11214)Instruction limit reached!
% 5.59/1.11 % (11214)------------------------------
% 5.59/1.11 % (11214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.11 % (11214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.11 % (11214)Termination reason: Unknown
% 5.59/1.11 % (11214)Termination phase: Saturation
% 5.59/1.11
% 5.59/1.11 % (11214)Memory used [KB]: 9338
% 5.59/1.11 % (11214)Time elapsed: 0.687 s
% 5.59/1.11 % (11214)Instructions burned: 390 (million)
% 5.59/1.11 % (11214)------------------------------
% 5.59/1.11 % (11214)------------------------------
% 5.59/1.12 % (11457)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=1841:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1841Mi)
% 5.59/1.12 % (11207)Instruction limit reached!
% 5.59/1.12 % (11207)------------------------------
% 5.59/1.12 % (11207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.12 % (11207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.12 % (11207)Termination reason: Unknown
% 5.59/1.12 % (11207)Termination phase: Saturation
% 5.59/1.12
% 5.59/1.12 % (11207)Memory used [KB]: 8315
% 5.59/1.12 % (11207)Time elapsed: 0.724 s
% 5.59/1.12 % (11207)Instructions burned: 353 (million)
% 5.59/1.12 % (11207)------------------------------
% 5.59/1.12 % (11207)------------------------------
% 6.15/1.14 % (11458)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4917Mi)
% 6.15/1.15 % (11459)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/248Mi)
% 6.15/1.15 % (11328)Instruction limit reached!
% 6.15/1.15 % (11328)------------------------------
% 6.15/1.15 % (11328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.15/1.15 % (11328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.15/1.15 % (11328)Termination reason: Unknown
% 6.15/1.15 % (11328)Termination phase: Saturation
% 6.15/1.15
% 6.15/1.15 % (11328)Memory used [KB]: 11001
% 6.15/1.15 % (11328)Time elapsed: 0.559 s
% 6.15/1.15 % (11328)Instructions burned: 292 (million)
% 6.15/1.15 % (11328)------------------------------
% 6.15/1.15 % (11328)------------------------------
% 6.15/1.15 % (11359)Instruction limit reached!
% 6.15/1.15 % (11359)------------------------------
% 6.15/1.15 % (11359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.15/1.15 % (11359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.15/1.15 % (11359)Termination reason: Unknown
% 6.15/1.15 % (11359)Termination phase: Saturation
% 6.15/1.15
% 6.15/1.15 % (11359)Memory used [KB]: 4477
% 6.15/1.15 % (11359)Time elapsed: 0.482 s
% 6.15/1.15 % (11359)Instructions burned: 248 (million)
% 6.15/1.15 % (11359)------------------------------
% 6.15/1.15 % (11359)------------------------------
% 6.15/1.17 % (11460)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1314Mi)
% 6.45/1.18 % (11212)Instruction limit reached!
% 6.45/1.18 % (11212)------------------------------
% 6.45/1.18 % (11212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.45/1.18 % (11212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.45/1.18 % (11212)Termination reason: Unknown
% 6.45/1.18 % (11212)Termination phase: Saturation
% 6.45/1.18
% 6.45/1.18 % (11212)Memory used [KB]: 15863
% 6.45/1.18 % (11212)Time elapsed: 0.783 s
% 6.45/1.18 % (11212)Instructions burned: 439 (million)
% 6.45/1.18 % (11212)------------------------------
% 6.45/1.18 % (11212)------------------------------
% 6.45/1.21 % (11462)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/381Mi)
% 6.45/1.21 % (11461)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=620:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/620Mi)
% 6.45/1.22 % (11358)Instruction limit reached!
% 6.45/1.22 % (11358)------------------------------
% 6.45/1.22 % (11358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.45/1.22 % (11358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.45/1.22 % (11358)Termination reason: Unknown
% 6.45/1.22 % (11358)Termination phase: Saturation
% 6.45/1.22
% 6.45/1.22 % (11358)Memory used [KB]: 8187
% 6.45/1.22 % (11358)Time elapsed: 0.578 s
% 6.45/1.22 % (11358)Instructions burned: 312 (million)
% 6.45/1.22 % (11358)------------------------------
% 6.45/1.22 % (11358)------------------------------
% 6.45/1.23 % (11463)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1242Mi)
% 6.45/1.23 % (11463)Refutation not found, incomplete strategy% (11463)------------------------------
% 6.45/1.23 % (11463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.45/1.23 % (11463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.45/1.23 % (11463)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.23
% 6.45/1.23 % (11463)Memory used [KB]: 5373
% 6.45/1.23 % (11463)Time elapsed: 0.096 s
% 6.45/1.23 % (11463)Instructions burned: 2 (million)
% 6.45/1.23 % (11463)------------------------------
% 6.45/1.23 % (11463)------------------------------
% 6.82/1.25 % (11464)lrs+10_8:1_bd=preordered:drc=off:fd=preordered:sp=reverse_frequency:i=4700:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4700Mi)
% 7.02/1.28 % (11465)lrs+10_1:12_drc=off:ins=1:sp=frequency:spb=goal_then_units:i=4963:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4963Mi)
% 7.02/1.28 % (11460)Refutation not found, incomplete strategy% (11460)------------------------------
% 7.02/1.28 % (11460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.02/1.28 % (11460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.02/1.28 % (11460)Termination reason: Refutation not found, incomplete strategy
% 7.02/1.28
% 7.02/1.28 % (11460)Memory used [KB]: 1791
% 7.02/1.28 % (11460)Time elapsed: 0.230 s
% 7.02/1.28 % (11460)Instructions burned: 60 (million)
% 7.02/1.28 % (11460)------------------------------
% 7.02/1.28 % (11460)------------------------------
% 7.02/1.29 % (11466)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=3884:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/3884Mi)
% 7.33/1.33 % (11467)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=875:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/875Mi)
% 7.33/1.35 % (11335)Instruction limit reached!
% 7.33/1.35 % (11335)------------------------------
% 7.33/1.35 % (11335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.33/1.35 % (11335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.33/1.35 % (11335)Termination reason: Unknown
% 7.33/1.35 % (11335)Termination phase: Saturation
% 7.33/1.35
% 7.33/1.35 % (11335)Memory used [KB]: 11641
% 7.33/1.35 % (11335)Time elapsed: 0.764 s
% 7.33/1.35 % (11335)Instructions burned: 403 (million)
% 7.33/1.35 % (11335)------------------------------
% 7.33/1.35 % (11335)------------------------------
% 7.56/1.36 % (11469)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/290Mi)
% 7.56/1.37 % (11453)Instruction limit reached!
% 7.56/1.37 % (11453)------------------------------
% 7.56/1.37 % (11453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.37 % (11364)Instruction limit reached!
% 7.56/1.37 % (11364)------------------------------
% 7.56/1.37 % (11364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.37 % (11364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.37 % (11364)Termination reason: Unknown
% 7.56/1.37 % (11364)Termination phase: Saturation
% 7.56/1.37
% 7.56/1.37 % (11364)Memory used [KB]: 12409
% 7.56/1.37 % (11364)Time elapsed: 0.293 s
% 7.56/1.37 % (11364)Instructions burned: 382 (million)
% 7.56/1.37 % (11364)------------------------------
% 7.56/1.37 % (11364)------------------------------
% 7.56/1.37 % (11221)Instruction limit reached!
% 7.56/1.37 % (11221)------------------------------
% 7.56/1.37 % (11221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.37 % (11221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.37 % (11221)Termination reason: Unknown
% 7.56/1.37 % (11221)Termination phase: Saturation
% 7.56/1.37
% 7.56/1.37 % (11221)Memory used [KB]: 9978
% 7.56/1.37 % (11221)Time elapsed: 0.969 s
% 7.56/1.37 % (11221)Instructions burned: 496 (million)
% 7.56/1.37 % (11221)------------------------------
% 7.56/1.37 % (11221)------------------------------
% 7.56/1.37 % (11468)lrs+2_1:128_awrs=decay:awrsf=20:drc=off:fsd=on:lwlo=on:nm=2:nwc=1.94:spb=units:thsq=on:thsqc=32:thsqd=32:thsqr=4,7:i=2970:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/2970Mi)
% 7.56/1.39 % (11453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.39 % (11453)Termination reason: Unknown
% 7.56/1.39 % (11453)Termination phase: Saturation
% 7.56/1.39
% 7.56/1.39 % (11453)Memory used [KB]: 10874
% 7.56/1.39 % (11453)Time elapsed: 0.453 s
% 7.56/1.39 % (11453)Instructions burned: 292 (million)
% 7.56/1.39 % (11453)------------------------------
% 7.56/1.39 % (11453)------------------------------
% 7.56/1.39 % (11331)Instruction limit reached!
% 7.56/1.39 % (11331)------------------------------
% 7.56/1.39 % (11331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.40 % (11215)Instruction limit reached!
% 7.56/1.40 % (11215)------------------------------
% 7.56/1.40 % (11215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.40 % (11215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.40 % (11215)Termination reason: Unknown
% 7.56/1.40 % (11215)Termination phase: Saturation
% 7.56/1.40
% 7.56/1.40 % (11215)Memory used [KB]: 10234
% 7.56/1.40 % (11215)Time elapsed: 0.971 s
% 7.56/1.40 % (11215)Instructions burned: 481 (million)
% 7.56/1.40 % (11215)------------------------------
% 7.56/1.40 % (11215)------------------------------
% 7.56/1.40 % (11470)lrs+11_26459:191296_av=off:awrs=converge:awrsf=30:bd=preordered:bs=unit_only:drc=off:etr=on:flr=on:lwlo=on:nwc=5.0:plsq=on:plsqc=1:plsql=on:plsqr=1,32:skr=on:slsq=on:slsqr=18,107:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=3607:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3607Mi)
% 7.56/1.41 % (11331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.41 % (11331)Termination reason: Unknown
% 7.56/1.41 % (11331)Termination phase: Saturation
% 7.56/1.41
% 7.56/1.41 % (11331)Memory used [KB]: 15863
% 7.56/1.41 % (11331)Time elapsed: 0.805 s
% 7.56/1.41 % (11331)Instructions burned: 441 (million)
% 7.56/1.41 % (11331)------------------------------
% 7.56/1.41 % (11331)------------------------------
% 7.56/1.42 % (11327)Instruction limit reached!
% 7.56/1.42 % (11327)------------------------------
% 7.56/1.42 % (11327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.43 % (11327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.43 % (11327)Termination reason: Unknown
% 7.56/1.43 % (11327)Termination phase: Saturation
% 7.56/1.43
% 7.56/1.43 % (11327)Memory used [KB]: 11001
% 7.56/1.43 % (11327)Time elapsed: 0.814 s
% 7.56/1.43 % (11327)Instructions burned: 463 (million)
% 7.56/1.43 % (11327)------------------------------
% 7.56/1.43 % (11327)------------------------------
% 8.11/1.48 % (11471)dis+10_1:1_drc=off:fd=preordered:tgt=full:to=lpo:i=2934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/2934Mi)
% 8.11/1.49 % (11459)Instruction limit reached!
% 8.11/1.49 % (11459)------------------------------
% 8.11/1.49 % (11459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.11/1.49 % (11459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.11/1.49 % (11459)Termination reason: Unknown
% 8.11/1.49 % (11459)Termination phase: Saturation
% 8.11/1.49
% 8.11/1.49 % (11459)Memory used [KB]: 4349
% 8.11/1.49 % (11459)Time elapsed: 0.461 s
% 8.11/1.49 % (11459)Instructions burned: 249 (million)
% 8.11/1.49 % (11459)------------------------------
% 8.11/1.49 % (11459)------------------------------
% 8.11/1.50 % (11473)lrs+1002_1:1024_drc=off:ins=1:nwc=5.0:slsq=on:slsqc=1:slsql=off:slsqr=1,8:urr=on:uwa=all:i=4546:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4546Mi)
% 8.11/1.50 % (11472)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4940Mi)
% 8.11/1.52 % (11477)dis+1011_1:227_abs=on:amm=off:avsq=on:avsqc=1:avsqr=97,32:awrs=converge:awrsf=256:bsr=unit_only:drc=off:fd=preordered:plsq=on:plsqc=1:plsql=on:plsqr=27942579,963352:sas=z3:slsq=on:slsqc=1:slsql=off:slsqr=307,512:sp=occurrence:ss=axioms:st=3.0:i=5027:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/5027Mi)
% 8.11/1.53 % (11475)lrs+1011_8:1_aac=none:anc=all_dependent:lwlo=on:nm=2:nwc=10.0:sac=on:sos=all:i=3317:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/3317Mi)
% 8.33/1.54 % (11474)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1314Mi)
% 8.33/1.54 % (11357)Instruction limit reached!
% 8.33/1.54 % (11357)------------------------------
% 8.33/1.54 % (11357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.33/1.54 % (11476)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/381Mi)
% 8.33/1.54 % (11357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.33/1.54 % (11357)Termination reason: Unknown
% 8.33/1.54 % (11357)Termination phase: Saturation
% 8.33/1.54
% 8.33/1.54 % (11357)Memory used [KB]: 10234
% 8.33/1.54 % (11357)Time elapsed: 0.905 s
% 8.33/1.54 % (11357)Instructions burned: 496 (million)
% 8.33/1.54 % (11357)------------------------------
% 8.33/1.54 % (11357)------------------------------
% 8.43/1.59 % (11478)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=1293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1293Mi)
% 8.43/1.63 % (11474)Refutation not found, incomplete strategy% (11474)------------------------------
% 8.43/1.63 % (11474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.07/1.65 % (11474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.07/1.65 % (11474)Termination reason: Refutation not found, incomplete strategy
% 10.07/1.65
% 10.07/1.65 % (11474)Memory used [KB]: 1791
% 10.07/1.65 % (11474)Time elapsed: 0.213 s
% 10.07/1.65 % (11474)Instructions burned: 59 (million)
% 10.07/1.65 % (11474)------------------------------
% 10.07/1.65 % (11474)------------------------------
% 10.39/1.68 % (11477)Refutation not found, incomplete strategy% (11477)------------------------------
% 10.39/1.68 % (11477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.39/1.69 % (11477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.39/1.69 % (11477)Termination reason: Refutation not found, incomplete strategy
% 10.39/1.69
% 10.39/1.69 % (11477)Memory used [KB]: 1791
% 10.39/1.69 % (11477)Time elapsed: 0.202 s
% 10.39/1.69 % (11477)Instructions burned: 114 (million)
% 10.39/1.69 % (11477)------------------------------
% 10.39/1.69 % (11477)------------------------------
% 10.39/1.69 % (11479)lrs+10_1:12_drc=off:ins=1:sp=frequency:spb=goal_then_units:i=7928:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/7928Mi)
% 10.39/1.70 % (11373)Refutation not found, non-redundant clauses discarded% (11373)------------------------------
% 10.39/1.70 % (11373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.39/1.70 % (11373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.39/1.70 % (11373)Termination reason: Refutation not found, non-redundant clauses discarded
% 10.39/1.70
% 10.39/1.70 % (11373)Memory used [KB]: 11129
% 10.39/1.70 % (11373)Time elapsed: 1.016 s
% 10.39/1.70 % (11373)Instructions burned: 566 (million)
% 10.39/1.70 % (11373)------------------------------
% 10.39/1.70 % (11373)------------------------------
% 10.96/1.77 % (11469)Instruction limit reached!
% 10.96/1.77 % (11469)------------------------------
% 10.96/1.77 % (11469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.96/1.77 % (11469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.96/1.77 % (11469)Termination reason: Unknown
% 10.96/1.77 % (11469)Termination phase: Saturation
% 10.96/1.77
% 10.96/1.77 % (11469)Memory used [KB]: 10874
% 10.96/1.77 % (11469)Time elapsed: 0.509 s
% 10.96/1.77 % (11469)Instructions burned: 290 (million)
% 10.96/1.77 % (11469)------------------------------
% 10.96/1.77 % (11469)------------------------------
% 10.96/1.77 % (11480)ott+10_1:1_av=off:bd=preordered:bsd=on:drc=off:etr=on:fd=preordered:fsr=off:ins=1:lma=on:slsq=on:slsqc=1:slsql=off:slsqr=9,8:sp=frequency:spb=goal:urr=ec_only:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/3180Mi)
% 11.14/1.79 % (11481)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=20527:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/20527Mi)
% 11.14/1.79 % (11462)Instruction limit reached!
% 11.14/1.79 % (11462)------------------------------
% 11.14/1.79 % (11462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.14/1.79 % (11462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.14/1.79 % (11462)Termination reason: Unknown
% 11.14/1.79 % (11462)Termination phase: Saturation
% 11.14/1.79
% 11.14/1.79 % (11462)Memory used [KB]: 12665
% 11.14/1.79 % (11462)Time elapsed: 0.315 s
% 11.14/1.79 % (11462)Instructions burned: 382 (million)
% 11.14/1.79 % (11462)------------------------------
% 11.14/1.79 % (11462)------------------------------
% 11.52/1.83 % (11482)dis+0_46177:627804_av=off:awrs=decay:awrsf=350:bs=unit_only:s2a=on:s2at=3.2:skr=on:slsq=on:slsqc=0:slsql=off:slsqr=10,103:sp=reverse_arity:urr=ec_only:i=9439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/9439Mi)
% 11.68/1.89 % (11483)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=5084:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/5084Mi)
% 11.68/1.91 % (11461)Instruction limit reached!
% 11.68/1.91 % (11461)------------------------------
% 11.68/1.91 % (11461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.68/1.91 % (11461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.68/1.91 % (11461)Termination reason: Unknown
% 11.68/1.91 % (11461)Termination phase: Saturation
% 11.68/1.91
% 11.68/1.91 % (11461)Memory used [KB]: 5117
% 11.68/1.91 % (11461)Time elapsed: 0.822 s
% 11.68/1.91 % (11461)Instructions burned: 620 (million)
% 11.68/1.91 % (11461)------------------------------
% 11.68/1.91 % (11461)------------------------------
% 12.16/1.93 % (11484)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=875:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/875Mi)
% 12.97/2.05 % (11485)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=6250:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/6250Mi)
% 14.24/2.16 % (11485)Refutation not found, incomplete strategy% (11485)------------------------------
% 14.24/2.16 % (11485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.24/2.17 % (11485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.24/2.17 % (11485)Termination reason: Refutation not found, incomplete strategy
% 14.24/2.17
% 14.24/2.17 % (11485)Memory used [KB]: 6268
% 14.24/2.17 % (11485)Time elapsed: 0.200 s
% 14.24/2.17 % (11485)Instructions burned: 63 (million)
% 14.24/2.17 % (11485)------------------------------
% 14.24/2.17 % (11485)------------------------------
% 14.24/2.21 % (11476)Instruction limit reached!
% 14.24/2.21 % (11476)------------------------------
% 14.24/2.21 % (11476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.24/2.21 % (11476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.24/2.21 % (11476)Termination reason: Unknown
% 14.24/2.21 % (11476)Termination phase: Saturation
% 14.24/2.21
% 14.24/2.21 % (11476)Memory used [KB]: 12537
% 14.24/2.21 % (11476)Time elapsed: 0.291 s
% 14.24/2.21 % (11476)Instructions burned: 382 (million)
% 14.24/2.21 % (11476)------------------------------
% 14.24/2.21 % (11476)------------------------------
% 15.20/2.30 % (11486)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=3068:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/3068Mi)
% 15.20/2.35 % (11487)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/290Mi)
% 19.02/2.78 % (11487)Instruction limit reached!
% 19.02/2.78 % (11487)------------------------------
% 19.02/2.78 % (11487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.02/2.80 % (11487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.02/2.80 % (11487)Termination reason: Unknown
% 19.02/2.80 % (11487)Termination phase: Saturation
% 19.02/2.80
% 19.02/2.80 % (11487)Memory used [KB]: 11001
% 19.02/2.80 % (11487)Time elapsed: 0.542 s
% 19.02/2.80 % (11487)Instructions burned: 290 (million)
% 19.02/2.80 % (11487)------------------------------
% 19.02/2.80 % (11487)------------------------------
% 19.02/2.81 % (11467)Instruction limit reached!
% 19.02/2.81 % (11467)------------------------------
% 19.02/2.81 % (11467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.02/2.81 % (11467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.02/2.81 % (11467)Termination reason: Unknown
% 19.02/2.81 % (11467)Termination phase: Saturation
% 19.02/2.81
% 19.02/2.81 % (11467)Memory used [KB]: 19957
% 19.02/2.81 % (11467)Time elapsed: 1.576 s
% 19.02/2.81 % (11467)Instructions burned: 876 (million)
% 19.02/2.81 % (11467)------------------------------
% 19.02/2.81 % (11467)------------------------------
% 19.97/2.93 % (11488)lrs+10_3:1_bd=off:fde=none:lwlo=on:i=15258:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/15258Mi)
% 20.52/2.95 % (11489)lrs+10_1:4_awrs=converge:drc=off:lwlo=on:sp=reverse_frequency:urr=ec_only:i=36973:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/36973Mi)
% 21.29/3.07 % (11452)Instruction limit reached!
% 21.29/3.07 % (11452)------------------------------
% 21.29/3.07 % (11452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.29/3.07 % (11452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.29/3.07 % (11452)Termination reason: Unknown
% 21.29/3.07 % (11452)Termination phase: Saturation
% 21.29/3.07
% 21.29/3.07 % (11452)Memory used [KB]: 19445
% 21.29/3.07 % (11452)Time elapsed: 2.199 s
% 21.29/3.07 % (11452)Instructions burned: 1345 (million)
% 21.29/3.07 % (11452)------------------------------
% 21.29/3.07 % (11452)------------------------------
% 22.19/3.20 % (11490)lrs+10_1:6_bd=off:drc=off:tgt=full:i=26171:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/26171Mi)
% 22.19/3.23 % (11398)Instruction limit reached!
% 22.19/3.23 % (11398)------------------------------
% 22.19/3.23 % (11398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.19/3.23 % (11398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.19/3.23 % (11398)Termination reason: Unknown
% 22.19/3.23 % (11398)Termination phase: Saturation
% 22.19/3.23
% 22.19/3.23 % (11398)Memory used [KB]: 30319
% 22.19/3.23 % (11398)Time elapsed: 2.422 s
% 22.19/3.23 % (11398)Instructions burned: 1429 (million)
% 22.19/3.23 % (11398)------------------------------
% 22.19/3.23 % (11398)------------------------------
% 22.62/3.24 % (11484)Instruction limit reached!
% 22.62/3.24 % (11484)------------------------------
% 22.62/3.24 % (11484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.62/3.25 % (11484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.62/3.25 % (11484)Termination reason: Unknown
% 22.62/3.25 % (11484)Termination phase: Saturation
% 22.62/3.25
% 22.62/3.25 % (11484)Memory used [KB]: 19061
% 22.62/3.25 % (11484)Time elapsed: 1.409 s
% 22.62/3.25 % (11484)Instructions burned: 875 (million)
% 22.62/3.25 % (11484)------------------------------
% 22.62/3.25 % (11484)------------------------------
% 23.51/3.34 % (11393)First to succeed.
% 23.51/3.35 % (11361)Instruction limit reached!
% 23.51/3.35 % (11361)------------------------------
% 23.51/3.35 % (11361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.51/3.36 % (11491)lrs+10_1:1024_drc=off:sp=unary_frequency:tgt=full:to=lpo:i=34839:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/34839Mi)
% 23.51/3.36 % (11361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.51/3.36 % (11361)Termination reason: Unknown
% 23.51/3.36 % (11361)Termination phase: Saturation
% 23.51/3.36
% 23.51/3.36 % (11361)Memory used [KB]: 19317
% 23.51/3.36 % (11361)Time elapsed: 2.704 s
% 23.51/3.36 % (11361)Instructions burned: 1598 (million)
% 23.51/3.36 % (11361)------------------------------
% 23.51/3.36 % (11361)------------------------------
% 23.85/3.39 % (11492)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=29065:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/29065Mi)
% 24.40/3.46 % (11393)Refutation found. Thanks to Tanya!
% 24.40/3.46 % SZS status Unsatisfiable for theBenchmark
% 24.40/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 24.67/3.47 % (11393)------------------------------
% 24.67/3.47 % (11393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.67/3.47 % (11393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.67/3.47 % (11393)Termination reason: Refutation
% 24.67/3.47
% 24.67/3.47 % (11393)Memory used [KB]: 17398
% 24.67/3.47 % (11393)Time elapsed: 2.594 s
% 24.67/3.47 % (11393)Instructions burned: 1684 (million)
% 24.67/3.47 % (11393)------------------------------
% 24.67/3.47 % (11393)------------------------------
% 24.67/3.47 % (11189)Success in time 3.095 s
%------------------------------------------------------------------------------