TSTP Solution File: GRP383-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP383-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:30 EDT 2022
% Result : Unsatisfiable 1.74s 0.58s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 61
% Syntax : Number of formulae : 406 ( 35 unt; 0 def)
% Number of atoms : 1690 ( 482 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2542 (1258 ~;1267 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1443,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f119,f124,f125,f130,f141,f151,f156,f158,f159,f160,f161,f162,f163,f164,f166,f167,f168,f169,f171,f172,f173,f174,f175,f176,f177,f179,f180,f181,f406,f435,f479,f496,f510,f714,f727,f743,f884,f941,f1005,f1020,f1112,f1367,f1395,f1418,f1442]) ).
fof(f1442,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1441,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f1440,f1338]) ).
fof(f1338,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1332,f1334]) ).
fof(f1334,plain,
( identity = sk_c2
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1329,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1329,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f538,f1327]) ).
fof(f1327,plain,
( identity = sk_c3
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f1301,f1326]) ).
fof(f1326,plain,
( ! [X14] : multiply(sk_c3,X14) = X14
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f1319,f1325]) ).
fof(f1325,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14 ),
inference(backward_demodulation,[],[f223,f1323]) ).
fof(f1323,plain,
( sk_c8 = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14 ),
inference(backward_demodulation,[],[f532,f1321]) ).
fof(f1321,plain,
( identity = sk_c1
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1309,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1309,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14 ),
inference(backward_demodulation,[],[f758,f1288]) ).
fof(f1288,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1286,f2]) ).
fof(f1286,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c3)
| ~ spl12_1
| ~ spl12_14 ),
inference(superposition,[],[f202,f537]) ).
fof(f537,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl12_1
| ~ spl12_14 ),
inference(backward_demodulation,[],[f533,f92]) ).
fof(f92,plain,
( sk_c3 = sF2
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl12_1
<=> sk_c3 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f533,plain,
( sk_c3 = multiply(sF2,sk_c7)
| ~ spl12_14 ),
inference(backward_demodulation,[],[f242,f149]) ).
fof(f149,plain,
( sk_c7 = sF10
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl12_14
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f242,plain,
sk_c3 = multiply(sF2,sF10),
inference(forward_demodulation,[],[f236,f44]) ).
fof(f44,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f236,plain,
sk_c3 = multiply(inverse(sk_c2),sF10),
inference(superposition,[],[f202,f63]) ).
fof(f63,plain,
multiply(sk_c2,sk_c3) = sF10,
introduced(function_definition,[]) ).
fof(f202,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f194,f1]) ).
fof(f194,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f758,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl12_3
| ~ spl12_12 ),
inference(forward_demodulation,[],[f542,f100]) ).
fof(f100,plain,
( sk_c7 = sF6
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl12_3
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f542,plain,
( sk_c1 = multiply(sF6,identity)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f529,f51]) ).
fof(f51,plain,
inverse(sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f529,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f238,f140]) ).
fof(f140,plain,
( sk_c8 = sF0
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl12_12
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f238,plain,
sk_c1 = multiply(inverse(sF0),identity),
inference(superposition,[],[f202,f190]) ).
fof(f190,plain,
identity = multiply(sF0,sk_c1),
inference(superposition,[],[f2,f41]) ).
fof(f41,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f532,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f41,f140]) ).
fof(f223,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f202,f1]) ).
fof(f1319,plain,
( ! [X14] : multiply(sk_c3,multiply(sk_c8,X14)) = X14
| ~ spl12_1
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1317,f1]) ).
fof(f1317,plain,
( ! [X14] : multiply(sk_c3,multiply(sk_c8,X14)) = multiply(identity,X14)
| ~ spl12_1
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f1243,f1288]) ).
fof(f1243,plain,
( ! [X14] : multiply(sk_c3,multiply(sk_c8,X14)) = multiply(sk_c7,X14)
| ~ spl12_15 ),
inference(forward_demodulation,[],[f201,f155]) ).
fof(f155,plain,
( sk_c7 = sF7
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl12_15
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f201,plain,
! [X14] : multiply(sk_c3,multiply(sk_c8,X14)) = multiply(sF7,X14),
inference(superposition,[],[f3,f53]) ).
fof(f53,plain,
multiply(sk_c3,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f1301,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl12_1
| ~ spl12_14 ),
inference(backward_demodulation,[],[f537,f1288]) ).
fof(f538,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f239,f92]) ).
fof(f239,plain,
sk_c2 = multiply(inverse(sF2),identity),
inference(superposition,[],[f202,f191]) ).
fof(f191,plain,
identity = multiply(sF2,sk_c2),
inference(superposition,[],[f2,f44]) ).
fof(f1332,plain,
( identity = inverse(sk_c2)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f541,f1327]) ).
fof(f541,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f44,f92]) ).
fof(f1440,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1436,f1338]) ).
fof(f1436,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f1434]) ).
fof(f1434,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(superposition,[],[f1431,f2]) ).
fof(f1431,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1430,f1288]) ).
fof(f1430,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(X7,identity) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1429,f1393]) ).
fof(f1393,plain,
( identity = sk_c6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f1369,f1339]) ).
fof(f1339,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_3
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f1323,f1338]) ).
fof(f1369,plain,
( sk_c8 = sk_c6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1368,f1]) ).
fof(f1368,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_7
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1312,f1338]) ).
fof(f1312,plain,
( sk_c6 = multiply(inverse(identity),sk_c8)
| ~ spl12_1
| ~ spl12_7
| ~ spl12_14 ),
inference(backward_demodulation,[],[f1143,f1288]) ).
fof(f1143,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c8)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f231,f114]) ).
fof(f114,plain,
( sk_c8 = sF9
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl12_7
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f231,plain,
sk_c6 = multiply(inverse(sk_c7),sF9),
inference(superposition,[],[f202,f58]) ).
fof(f58,plain,
multiply(sk_c7,sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f1429,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| identity != inverse(X7) )
| ~ spl12_1
| ~ spl12_5
| ~ spl12_14 ),
inference(forward_demodulation,[],[f107,f1288]) ).
fof(f107,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl12_5
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f1418,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f1412,f1]) ).
fof(f1412,plain,
( identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(duplicate_literal_removal,[],[f1408]) ).
fof(f1408,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(superposition,[],[f1398,f1338]) ).
fof(f1398,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1397,f1288]) ).
fof(f1397,plain,
( ! [X4] :
( identity != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),identity) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1396,f1339]) ).
fof(f1396,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_1
| ~ spl12_8
| ~ spl12_14 ),
inference(forward_demodulation,[],[f118,f1288]) ).
fof(f118,plain,
( ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl12_8
<=> ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f1395,plain,
( spl12_17
| ~ spl12_1
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f1385,f153,f147,f138,f121,f99,f90,f462]) ).
fof(f462,plain,
( spl12_17
<=> identity = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f121,plain,
( spl12_9
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f1385,plain,
( identity = sF4
| ~ spl12_1
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f123,f1339]) ).
fof(f123,plain,
( sk_c8 = sF4
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f1367,plain,
( spl12_19
| ~ spl12_1
| ~ spl12_14
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f1296,f153,f147,f90,f471]) ).
fof(f471,plain,
( spl12_19
<=> identity = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f1296,plain,
( identity = sF7
| ~ spl12_1
| ~ spl12_14
| ~ spl12_15 ),
inference(backward_demodulation,[],[f155,f1288]) ).
fof(f1112,plain,
( spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1111,plain,
( $false
| spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f1110,f1107]) ).
fof(f1107,plain,
( identity != sF8
| spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f111,f1066]) ).
fof(f1066,plain,
( identity = sk_c6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1065,f2]) ).
fof(f1065,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1064,f1040]) ).
fof(f1040,plain,
( identity = sk_c7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1030,f1]) ).
fof(f1030,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(backward_demodulation,[],[f545,f836]) ).
fof(f836,plain,
( identity = sk_c8
| ~ spl12_9
| ~ spl12_17 ),
inference(forward_demodulation,[],[f123,f463]) ).
fof(f463,plain,
( identity = sF4
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f545,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f536,f123]) ).
fof(f536,plain,
( sk_c7 = multiply(sk_c8,sF4)
| ~ spl12_12 ),
inference(forward_demodulation,[],[f246,f140]) ).
fof(f246,plain,
sk_c7 = multiply(sF0,sF4),
inference(forward_demodulation,[],[f235,f41]) ).
fof(f235,plain,
sk_c7 = multiply(inverse(sk_c1),sF4),
inference(superposition,[],[f202,f47]) ).
fof(f47,plain,
multiply(sk_c1,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f1064,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl12_7
| ~ spl12_9
| ~ spl12_17 ),
inference(forward_demodulation,[],[f231,f1026]) ).
fof(f1026,plain,
( identity = sF9
| ~ spl12_7
| ~ spl12_9
| ~ spl12_17 ),
inference(backward_demodulation,[],[f114,f836]) ).
fof(f111,plain,
( sk_c6 != sF8
| spl12_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl12_6
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f1110,plain,
( identity = sF8
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1109,f1]) ).
fof(f1109,plain,
( sF8 = multiply(identity,identity)
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1108,f1040]) ).
fof(f1108,plain,
( sF8 = multiply(sk_c7,identity)
| ~ spl12_9
| ~ spl12_17 ),
inference(forward_demodulation,[],[f55,f836]) ).
fof(f55,plain,
multiply(sk_c7,sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f1020,plain,
( ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1019,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f1018,f943]) ).
fof(f943,plain,
( identity = inverse(identity)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f942,f905]) ).
fof(f905,plain,
( identity = sk_c8
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f899,f904]) ).
fof(f904,plain,
( ! [X10] : multiply(sk_c4,X10) = X10
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f574,f896]) ).
fof(f896,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f895,f223]) ).
fof(f895,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(identity),X0)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f575,f888]) ).
fof(f888,plain,
( identity = sk_c7
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f545,f887]) ).
fof(f887,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_12 ),
inference(forward_demodulation,[],[f531,f885]) ).
fof(f885,plain,
( sk_c8 = sk_c1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_12 ),
inference(forward_demodulation,[],[f759,f114]) ).
fof(f759,plain,
( sk_c1 = sF9
| ~ spl12_3
| ~ spl12_6
| ~ spl12_12 ),
inference(backward_demodulation,[],[f744,f758]) ).
fof(f744,plain,
( sF9 = multiply(sk_c7,identity)
| ~ spl12_3
| ~ spl12_6 ),
inference(forward_demodulation,[],[f58,f558]) ).
fof(f558,plain,
( identity = sk_c6
| ~ spl12_3
| ~ spl12_6 ),
inference(backward_demodulation,[],[f185,f554]) ).
fof(f554,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl12_3 ),
inference(backward_demodulation,[],[f187,f100]) ).
fof(f187,plain,
identity = multiply(sF6,sk_c8),
inference(superposition,[],[f2,f51]) ).
fof(f185,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl12_6 ),
inference(backward_demodulation,[],[f55,f110]) ).
fof(f110,plain,
( sk_c6 = sF8
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f531,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f190,f140]) ).
fof(f575,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
| ~ spl12_3
| ~ spl12_6 ),
inference(forward_demodulation,[],[f564,f1]) ).
fof(f564,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl12_3
| ~ spl12_6 ),
inference(backward_demodulation,[],[f253,f558]) ).
fof(f253,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| ~ spl12_6 ),
inference(superposition,[],[f202,f195]) ).
fof(f195,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c8,X8)) = multiply(sk_c6,X8)
| ~ spl12_6 ),
inference(superposition,[],[f3,f185]) ).
fof(f574,plain,
( ! [X10] : multiply(sk_c8,X10) = multiply(sk_c4,multiply(sk_c8,X10))
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f197,f571]) ).
fof(f571,plain,
( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c8,X9)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7 ),
inference(forward_demodulation,[],[f567,f1]) ).
fof(f567,plain,
( ! [X9] : multiply(sk_c7,multiply(identity,X9)) = multiply(sk_c8,X9)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7 ),
inference(backward_demodulation,[],[f543,f558]) ).
fof(f543,plain,
( ! [X9] : multiply(sk_c8,X9) = multiply(sk_c7,multiply(sk_c6,X9))
| ~ spl12_7 ),
inference(backward_demodulation,[],[f196,f114]) ).
fof(f196,plain,
! [X9] : multiply(sF9,X9) = multiply(sk_c7,multiply(sk_c6,X9)),
inference(superposition,[],[f3,f58]) ).
fof(f197,plain,
( ! [X10] : multiply(sk_c8,X10) = multiply(sk_c4,multiply(sk_c7,X10))
| ~ spl12_11 ),
inference(superposition,[],[f3,f183]) ).
fof(f183,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f69,f135]) ).
fof(f135,plain,
( sk_c8 = sF11
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl12_11
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f69,plain,
multiply(sk_c4,sk_c7) = sF11,
introduced(function_definition,[]) ).
fof(f899,plain,
( sk_c8 = multiply(sk_c4,identity)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f183,f888]) ).
fof(f942,plain,
( sk_c8 = inverse(identity)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f532,f910]) ).
fof(f910,plain,
( identity = sk_c1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f885,f905]) ).
fof(f1018,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1013,f943]) ).
fof(f1013,plain,
( identity != inverse(inverse(identity))
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(trivial_inequality_removal,[],[f1011]) ).
fof(f1011,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(superposition,[],[f1008,f2]) ).
fof(f1008,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1007,f888]) ).
fof(f1007,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(X7,identity) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1006,f888]) ).
fof(f1006,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,identity) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_demodulation,[],[f107,f558]) ).
fof(f1005,plain,
( ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f1003,f1]) ).
fof(f1003,plain,
( identity != multiply(identity,identity)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f997,f943]) ).
fof(f997,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(trivial_inequality_removal,[],[f996]) ).
fof(f996,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(superposition,[],[f969,f2]) ).
fof(f969,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f968,f888]) ).
fof(f968,plain,
( ! [X4] :
( identity != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),identity) )
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f967,f905]) ).
fof(f967,plain,
( ! [X4] :
( identity != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f118,f888]) ).
fof(f941,plain,
( spl12_19
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f940,f153,f138,f121,f113,f109,f99,f471]) ).
fof(f940,plain,
( identity = sF7
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f155,f888]) ).
fof(f884,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14
| ~ spl12_15
| ~ spl12_19 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f883,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_14
| ~ spl12_15
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f878,f848]) ).
fof(f848,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_14
| ~ spl12_15
| ~ spl12_19 ),
inference(backward_demodulation,[],[f786,f843]) ).
fof(f843,plain,
( identity = sk_c3
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_14
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f842,f768]) ).
fof(f768,plain,
( identity = sk_c7
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f155,f472]) ).
fof(f472,plain,
( identity = sF7
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f842,plain,
( sk_c7 = sk_c3
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_14
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f537,f804]) ).
fof(f804,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f803,f1]) ).
fof(f803,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,X0)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f802,f780]) ).
fof(f780,plain,
( identity = sk_c8
| ~ spl12_3
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f775,f2]) ).
fof(f775,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl12_3
| ~ spl12_15
| ~ spl12_19 ),
inference(backward_demodulation,[],[f751,f768]) ).
fof(f751,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl12_3 ),
inference(forward_demodulation,[],[f240,f100]) ).
fof(f240,plain,
sk_c8 = multiply(inverse(sF6),identity),
inference(superposition,[],[f202,f187]) ).
fof(f802,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c8,X0)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f773,f786]) ).
fof(f773,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(identity),X0)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_15
| ~ spl12_19 ),
inference(backward_demodulation,[],[f575,f768]) ).
fof(f786,plain,
( sk_c3 = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_15
| ~ spl12_19 ),
inference(backward_demodulation,[],[f754,f780]) ).
fof(f754,plain,
( inverse(sk_c8) = sk_c3
| ~ spl12_1
| ~ spl12_19 ),
inference(backward_demodulation,[],[f541,f753]) ).
fof(f753,plain,
( sk_c8 = sk_c2
| ~ spl12_1
| ~ spl12_19 ),
inference(backward_demodulation,[],[f538,f752]) ).
fof(f752,plain,
( sk_c8 = multiply(inverse(sk_c3),identity)
| ~ spl12_19 ),
inference(forward_demodulation,[],[f237,f472]) ).
fof(f237,plain,
sk_c8 = multiply(inverse(sk_c3),sF7),
inference(superposition,[],[f202,f53]) ).
fof(f878,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_15
| ~ spl12_19 ),
inference(trivial_inequality_removal,[],[f875]) ).
fof(f875,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_15
| ~ spl12_19 ),
inference(superposition,[],[f800,f1]) ).
fof(f800,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f799,f780]) ).
fof(f799,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_15
| ~ spl12_19 ),
inference(forward_demodulation,[],[f770,f780]) ).
fof(f770,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl12_4
| ~ spl12_15
| ~ spl12_19 ),
inference(backward_demodulation,[],[f104,f768]) ).
fof(f104,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl12_4
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f743,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f741,f618]) ).
fof(f618,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f593,f607]) ).
fof(f607,plain,
( identity = sk_c8
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f604,f1]) ).
fof(f604,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f569,f595]) ).
fof(f595,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f594,f1]) ).
fof(f594,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f566,f589]) ).
fof(f589,plain,
( identity = sk_c4
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f553,f582]) ).
fof(f582,plain,
( ! [X9] : multiply(sk_c7,X9) = X9
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f571,f579]) ).
fof(f579,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f572,f578]) ).
fof(f578,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f205,f577]) ).
fof(f577,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,X0)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f576,f1]) ).
fof(f576,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(identity,X0))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f565,f571]) ).
fof(f565,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c7,X0)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11 ),
inference(backward_demodulation,[],[f266,f558]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl12_2
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f258,f217]) ).
fof(f217,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl12_2
| ~ spl12_11 ),
inference(superposition,[],[f3,f214]) ).
fof(f214,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_11 ),
inference(superposition,[],[f205,f183]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl12_6
| ~ spl12_11 ),
inference(superposition,[],[f197,f195]) ).
fof(f205,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl12_2 ),
inference(forward_demodulation,[],[f204,f1]) ).
fof(f204,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl12_2 ),
inference(superposition,[],[f3,f188]) ).
fof(f188,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl12_2 ),
inference(superposition,[],[f2,f184]) ).
fof(f184,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f48,f96]) ).
fof(f96,plain,
( sk_c8 = sF5
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl12_2
<=> sk_c8 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f48,plain,
inverse(sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f572,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(backward_demodulation,[],[f217,f571]) ).
fof(f553,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl12_2
| ~ spl12_3 ),
inference(backward_demodulation,[],[f245,f100]) ).
fof(f245,plain,
( sk_c4 = multiply(sF6,identity)
| ~ spl12_2 ),
inference(forward_demodulation,[],[f227,f51]) ).
fof(f227,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl12_2 ),
inference(superposition,[],[f202,f188]) ).
fof(f566,plain,
( sk_c7 = multiply(sk_c4,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11 ),
inference(backward_demodulation,[],[f269,f558]) ).
fof(f269,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f259,f214]) ).
fof(f259,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl12_6
| ~ spl12_11 ),
inference(superposition,[],[f197,f185]) ).
fof(f569,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f563,f1]) ).
fof(f563,plain,
( multiply(sk_c7,sk_c7) = multiply(identity,sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11 ),
inference(backward_demodulation,[],[f252,f558]) ).
fof(f252,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_11 ),
inference(superposition,[],[f195,f214]) ).
fof(f593,plain,
( sk_c8 = inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f549,f589]) ).
fof(f549,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_2
| ~ spl12_12 ),
inference(backward_demodulation,[],[f532,f546]) ).
fof(f546,plain,
( sk_c4 = sk_c1
| ~ spl12_2
| ~ spl12_12 ),
inference(backward_demodulation,[],[f542,f245]) ).
fof(f741,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f736,f618]) ).
fof(f736,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(trivial_inequality_removal,[],[f734]) ).
fof(f734,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(superposition,[],[f731,f2]) ).
fof(f731,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f730,f595]) ).
fof(f730,plain,
( ! [X7] :
( sk_c7 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f729,f558]) ).
fof(f729,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f107,f595]) ).
fof(f727,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f721,f1]) ).
fof(f721,plain,
( identity != multiply(identity,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(duplicate_literal_removal,[],[f718]) ).
fof(f718,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(superposition,[],[f717,f618]) ).
fof(f717,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f716,f595]) ).
fof(f716,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f715,f595]) ).
fof(f715,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f118,f607]) ).
fof(f714,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f708,f618]) ).
fof(f708,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(trivial_inequality_removal,[],[f703]) ).
fof(f703,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(superposition,[],[f648,f1]) ).
fof(f648,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f647,f607]) ).
fof(f647,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f646,f595]) ).
fof(f646,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f104,f607]) ).
fof(f510,plain,
( ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f508,f1]) ).
fof(f508,plain,
( identity != multiply(identity,identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f504,f362]) ).
fof(f362,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f322,f347]) ).
fof(f347,plain,
( identity = sk_c4
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f245,f345]) ).
fof(f345,plain,
( ! [X0] : multiply(sF6,X0) = X0
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f327,f1]) ).
fof(f327,plain,
( ! [X0] : multiply(sF6,multiply(identity,X0)) = X0
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f209,f316]) ).
fof(f316,plain,
( identity = sk_c8
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f304,f187]) ).
fof(f304,plain,
( sk_c8 = multiply(sF6,sk_c8)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f248,f282]) ).
fof(f282,plain,
( sk_c8 = sk_c7
| ~ spl12_6
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f279,f230]) ).
fof(f230,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl12_6 ),
inference(superposition,[],[f202,f185]) ).
fof(f279,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl12_10
| ~ spl12_13 ),
inference(superposition,[],[f202,f249]) ).
fof(f249,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f234,f182]) ).
fof(f182,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl12_13 ),
inference(backward_demodulation,[],[f45,f145]) ).
fof(f145,plain,
( sk_c7 = sF3
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl12_13
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f45,plain,
inverse(sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f234,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl12_10 ),
inference(superposition,[],[f202,f186]) ).
fof(f186,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f42,f129]) ).
fof(f129,plain,
( sk_c7 = sF1
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl12_10
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f42,plain,
multiply(sk_c5,sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f248,plain,
( sk_c8 = multiply(sF6,sk_c7)
| ~ spl12_2
| ~ spl12_11 ),
inference(forward_demodulation,[],[f229,f51]) ).
fof(f229,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl12_2
| ~ spl12_11 ),
inference(superposition,[],[f202,f214]) ).
fof(f209,plain,
! [X0] : multiply(sF6,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f208,f1]) ).
fof(f208,plain,
! [X0] : multiply(identity,X0) = multiply(sF6,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f187]) ).
fof(f322,plain,
( identity = inverse(sk_c4)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f184,f316]) ).
fof(f504,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f503]) ).
fof(f503,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(superposition,[],[f499,f2]) ).
fof(f499,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f498,f333]) ).
fof(f333,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f282,f316]) ).
fof(f498,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f497,f316]) ).
fof(f497,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f118,f333]) ).
fof(f496,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f494,f362]) ).
fof(f494,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f488,f362]) ).
fof(f488,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f485]) ).
fof(f485,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(superposition,[],[f482,f2]) ).
fof(f482,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f481,f316]) ).
fof(f481,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f480,f316]) ).
fof(f480,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f104,f333]) ).
fof(f479,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f455,f362]) ).
fof(f455,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f450]) ).
fof(f450,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(superposition,[],[f438,f1]) ).
fof(f438,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f437,f333]) ).
fof(f437,plain,
( ! [X7] :
( sk_c7 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f436,f373]) ).
fof(f373,plain,
( identity = sk_c6
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f330,f370]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f369,f1]) ).
fof(f369,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f339,f347]) ).
fof(f339,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f307,f316]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = multiply(sk_c8,X0)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_13 ),
inference(backward_demodulation,[],[f251,f282]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = multiply(sk_c7,X0)
| ~ spl12_2
| ~ spl12_6 ),
inference(superposition,[],[f195,f205]) ).
fof(f330,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f255,f316]) ).
fof(f255,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f252,f249]) ).
fof(f436,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f107,f333]) ).
fof(f435,plain,
( ~ spl12_2
| spl12_3
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| ~ spl12_2
| spl12_3
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f433,f333]) ).
fof(f433,plain,
( identity != sk_c7
| ~ spl12_2
| spl12_3
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f101,f363]) ).
fof(f363,plain,
( identity = sF6
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f317,f362]) ).
fof(f317,plain,
( inverse(identity) = sF6
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f51,f316]) ).
fof(f101,plain,
( sk_c7 != sF6
| spl12_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f406,plain,
( ~ spl12_2
| ~ spl12_6
| spl12_7
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl12_2
| ~ spl12_6
| spl12_7
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f404,f320]) ).
fof(f320,plain,
( identity != sF9
| ~ spl12_2
| ~ spl12_6
| spl12_7
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(backward_demodulation,[],[f115,f316]) ).
fof(f115,plain,
( sk_c8 != sF9
| spl12_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f404,plain,
( identity = sF9
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f403,f1]) ).
fof(f403,plain,
( sF9 = multiply(identity,identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f402,f316]) ).
fof(f402,plain,
( sF9 = multiply(sk_c8,identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f284,f373]) ).
fof(f284,plain,
( sF9 = multiply(sk_c8,sk_c6)
| ~ spl12_6
| ~ spl12_10
| ~ spl12_13 ),
inference(backward_demodulation,[],[f58,f282]) ).
fof(f181,plain,
( spl12_7
| spl12_6 ),
inference(avatar_split_clause,[],[f80,f109,f113]) ).
fof(f80,plain,
( sk_c6 = sF8
| sk_c8 = sF9 ),
inference(definition_folding,[],[f9,f58,f55]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f180,plain,
( spl12_6
| spl12_3 ),
inference(avatar_split_clause,[],[f87,f99,f109]) ).
fof(f87,plain,
( sk_c7 = sF6
| sk_c6 = sF8 ),
inference(definition_folding,[],[f4,f55,f51]) ).
fof(f4,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f179,plain,
( spl12_2
| spl12_14 ),
inference(avatar_split_clause,[],[f76,f147,f94]) ).
fof(f76,plain,
( sk_c7 = sF10
| sk_c8 = sF5 ),
inference(definition_folding,[],[f25,f48,f63]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f177,plain,
( spl12_2
| spl12_7 ),
inference(avatar_split_clause,[],[f84,f113,f94]) ).
fof(f84,plain,
( sk_c8 = sF9
| sk_c8 = sF5 ),
inference(definition_folding,[],[f10,f58,f48]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f176,plain,
( spl12_2
| spl12_12 ),
inference(avatar_split_clause,[],[f67,f138,f94]) ).
fof(f67,plain,
( sk_c8 = sF0
| sk_c8 = sF5 ),
inference(definition_folding,[],[f15,f41,f48]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f175,plain,
( spl12_1
| spl12_11 ),
inference(avatar_split_clause,[],[f85,f133,f90]) ).
fof(f85,plain,
( sk_c8 = sF11
| sk_c3 = sF2 ),
inference(definition_folding,[],[f31,f44,f69]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f174,plain,
( spl12_12
| spl12_6 ),
inference(avatar_split_clause,[],[f66,f109,f138]) ).
fof(f66,plain,
( sk_c6 = sF8
| sk_c8 = sF0 ),
inference(definition_folding,[],[f14,f55,f41]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f173,plain,
( spl12_7
| spl12_13 ),
inference(avatar_split_clause,[],[f60,f143,f113]) ).
fof(f60,plain,
( sk_c7 = sF3
| sk_c8 = sF9 ),
inference(definition_folding,[],[f12,f45,f58]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f172,plain,
( spl12_3
| spl12_11 ),
inference(avatar_split_clause,[],[f70,f133,f99]) ).
fof(f70,plain,
( sk_c8 = sF11
| sk_c7 = sF6 ),
inference(definition_folding,[],[f6,f69,f51]) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f171,plain,
( spl12_12
| spl12_10 ),
inference(avatar_split_clause,[],[f43,f127,f138]) ).
fof(f43,plain,
( sk_c7 = sF1
| sk_c8 = sF0 ),
inference(definition_folding,[],[f18,f42,f41]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f169,plain,
( spl12_15
| spl12_10 ),
inference(avatar_split_clause,[],[f65,f127,f153]) ).
fof(f65,plain,
( sk_c7 = sF1
| sk_c7 = sF7 ),
inference(definition_folding,[],[f38,f42,f53]) ).
fof(f38,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f168,plain,
( spl12_6
| spl12_14 ),
inference(avatar_split_clause,[],[f64,f147,f109]) ).
fof(f64,plain,
( sk_c7 = sF10
| sk_c6 = sF8 ),
inference(definition_folding,[],[f24,f55,f63]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c2,sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f167,plain,
( spl12_3
| spl12_2 ),
inference(avatar_split_clause,[],[f61,f94,f99]) ).
fof(f61,plain,
( sk_c8 = sF5
| sk_c7 = sF6 ),
inference(definition_folding,[],[f5,f51,f48]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f166,plain,
( spl12_15
| spl12_11 ),
inference(avatar_split_clause,[],[f79,f133,f153]) ).
fof(f79,plain,
( sk_c8 = sF11
| sk_c7 = sF7 ),
inference(definition_folding,[],[f36,f53,f69]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f164,plain,
( spl12_15
| spl12_6 ),
inference(avatar_split_clause,[],[f68,f109,f153]) ).
fof(f68,plain,
( sk_c6 = sF8
| sk_c7 = sF7 ),
inference(definition_folding,[],[f34,f53,f55]) ).
fof(f34,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f163,plain,
( spl12_13
| spl12_12 ),
inference(avatar_split_clause,[],[f57,f138,f143]) ).
fof(f57,plain,
( sk_c8 = sF0
| sk_c7 = sF3 ),
inference(definition_folding,[],[f17,f41,f45]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f162,plain,
( spl12_14
| spl12_11 ),
inference(avatar_split_clause,[],[f78,f133,f147]) ).
fof(f78,plain,
( sk_c8 = sF11
| sk_c7 = sF10 ),
inference(definition_folding,[],[f26,f63,f69]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f161,plain,
( spl12_3
| spl12_10 ),
inference(avatar_split_clause,[],[f74,f127,f99]) ).
fof(f74,plain,
( sk_c7 = sF1
| sk_c7 = sF6 ),
inference(definition_folding,[],[f8,f42,f51]) ).
fof(f8,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f160,plain,
( spl12_6
| spl12_1 ),
inference(avatar_split_clause,[],[f88,f90,f109]) ).
fof(f88,plain,
( sk_c3 = sF2
| sk_c6 = sF8 ),
inference(definition_folding,[],[f29,f55,f44]) ).
fof(f29,axiom,
( sk_c3 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f159,plain,
( spl12_15
| spl12_13 ),
inference(avatar_split_clause,[],[f54,f143,f153]) ).
fof(f54,plain,
( sk_c7 = sF3
| sk_c7 = sF7 ),
inference(definition_folding,[],[f37,f45,f53]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f158,plain,
( spl12_7
| spl12_11 ),
inference(avatar_split_clause,[],[f73,f133,f113]) ).
fof(f73,plain,
( sk_c8 = sF11
| sk_c8 = sF9 ),
inference(definition_folding,[],[f11,f69,f58]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f156,plain,
( spl12_15
| spl12_2 ),
inference(avatar_split_clause,[],[f62,f94,f153]) ).
fof(f62,plain,
( sk_c8 = sF5
| sk_c7 = sF7 ),
inference(definition_folding,[],[f35,f48,f53]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f151,plain,
( spl12_13
| spl12_3 ),
inference(avatar_split_clause,[],[f52,f99,f143]) ).
fof(f52,plain,
( sk_c7 = sF6
| sk_c7 = sF3 ),
inference(definition_folding,[],[f7,f45,f51]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f141,plain,
( spl12_11
| spl12_12 ),
inference(avatar_split_clause,[],[f81,f138,f133]) ).
fof(f81,plain,
( sk_c8 = sF0
| sk_c8 = sF11 ),
inference(definition_folding,[],[f16,f41,f69]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f130,plain,
( spl12_7
| spl12_10 ),
inference(avatar_split_clause,[],[f77,f127,f113]) ).
fof(f77,plain,
( sk_c7 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f13,f42,f58]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f125,plain,
( spl12_2
| spl12_9 ),
inference(avatar_split_clause,[],[f49,f121,f94]) ).
fof(f49,plain,
( sk_c8 = sF4
| sk_c8 = sF5 ),
inference(definition_folding,[],[f20,f48,f47]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f124,plain,
( spl12_6
| spl12_9 ),
inference(avatar_split_clause,[],[f56,f121,f109]) ).
fof(f56,plain,
( sk_c8 = sF4
| sk_c6 = sF8 ),
inference(definition_folding,[],[f19,f47,f55]) ).
fof(f19,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f119,plain,
( ~ spl12_3
| spl12_4
| spl12_5
| spl12_4
| ~ spl12_6
| ~ spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f59,f117,f113,f109,f103,f106,f103,f99]) ).
fof(f59,plain,
! [X3,X6,X7,X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c8 != sF9
| sk_c6 != sF8
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(X7,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != sF6 ),
inference(definition_folding,[],[f40,f55,f51,f58]) ).
fof(f40,plain,
! [X3,X6,X7,X4] :
( sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c7 != multiply(X7,sk_c6)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X4,inverse(X4)) ),
inference(equality_resolution,[],[f39]) ).
fof(f39,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| inverse(X4) != X5
| sk_c8 != inverse(X6)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c7 != multiply(X7,sk_c6)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f97,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f75,f94,f90]) ).
fof(f75,plain,
( sk_c8 = sF5
| sk_c3 = sF2 ),
inference(definition_folding,[],[f30,f48,f44]) ).
fof(f30,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP383-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:24:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (26879)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48 % (26866)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (26870)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (26883)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (26887)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (26875)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (26876)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (26878)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (26877)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (26864)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (26865)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (26886)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (26889)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (26869)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (26888)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (26880)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (26881)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (26891)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (26867)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (26890)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (26894)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (26882)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (26871)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (26868)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (26866)Instruction limit reached!
% 0.19/0.54 % (26866)------------------------------
% 0.19/0.54 % (26866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26892)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (26866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26866)Termination reason: Unknown
% 0.19/0.54 % (26866)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (26866)Memory used [KB]: 1151
% 0.19/0.54 % (26866)Time elapsed: 0.124 s
% 0.19/0.54 % (26866)Instructions burned: 38 (million)
% 0.19/0.54 % (26866)------------------------------
% 0.19/0.54 % (26866)------------------------------
% 0.19/0.54 % (26872)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (26873)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (26872)Instruction limit reached!
% 0.19/0.54 % (26872)------------------------------
% 0.19/0.54 % (26872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26872)Termination reason: Unknown
% 0.19/0.54 % (26872)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (26872)Memory used [KB]: 5373
% 0.19/0.54 % (26872)Time elapsed: 0.002 s
% 0.19/0.54 % (26872)Instructions burned: 2 (million)
% 0.19/0.54 % (26872)------------------------------
% 0.19/0.54 % (26872)------------------------------
% 0.19/0.54 % (26885)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.55 % (26884)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (26893)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (26870)Instruction limit reached!
% 0.19/0.55 % (26870)------------------------------
% 0.19/0.55 % (26870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26870)Termination reason: Unknown
% 0.19/0.55 % (26870)Termination phase: Finite model building SAT solving
% 0.19/0.55
% 0.19/0.55 % (26870)Memory used [KB]: 7036
% 0.19/0.55 % (26870)Time elapsed: 0.122 s
% 0.19/0.55 % (26870)Instructions burned: 51 (million)
% 0.19/0.55 % (26870)------------------------------
% 0.19/0.55 % (26870)------------------------------
% 0.19/0.55 % (26871)Instruction limit reached!
% 0.19/0.55 % (26871)------------------------------
% 0.19/0.55 % (26871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26871)Termination reason: Unknown
% 0.19/0.55 % (26871)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (26871)Memory used [KB]: 5500
% 0.19/0.55 % (26871)Time elapsed: 0.107 s
% 0.19/0.55 % (26871)Instructions burned: 8 (million)
% 0.19/0.55 % (26871)------------------------------
% 0.19/0.55 % (26871)------------------------------
% 1.61/0.56 TRYING [3]
% 1.61/0.57 % (26883)First to succeed.
% 1.61/0.57 TRYING [4]
% 1.61/0.57 % (26879)Instruction limit reached!
% 1.61/0.57 % (26879)------------------------------
% 1.61/0.57 % (26879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (26879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (26879)Termination reason: Unknown
% 1.61/0.57 % (26879)Termination phase: Saturation
% 1.61/0.57
% 1.61/0.57 % (26879)Memory used [KB]: 6524
% 1.61/0.57 % (26879)Time elapsed: 0.045 s
% 1.61/0.57 % (26879)Instructions burned: 69 (million)
% 1.61/0.57 % (26879)------------------------------
% 1.61/0.57 % (26879)------------------------------
% 1.74/0.58 % (26883)Refutation found. Thanks to Tanya!
% 1.74/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.74/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.58 % (26883)------------------------------
% 1.74/0.58 % (26883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58 % (26883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58 % (26883)Termination reason: Refutation
% 1.74/0.58
% 1.74/0.58 % (26883)Memory used [KB]: 6012
% 1.74/0.58 % (26883)Time elapsed: 0.171 s
% 1.74/0.58 % (26883)Instructions burned: 43 (million)
% 1.74/0.58 % (26883)------------------------------
% 1.74/0.58 % (26883)------------------------------
% 1.74/0.58 % (26860)Success in time 0.222 s
%------------------------------------------------------------------------------