TSTP Solution File: GRP368-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP368-1 : 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_uns --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:33 EDT 2022
% Result : Unsatisfiable 1.94s 0.65s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 60
% Syntax : Number of formulae : 395 ( 36 unt; 0 def)
% Number of atoms : 1594 ( 449 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2330 (1131 ~;1183 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1909,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f91,f114,f119,f124,f125,f130,f135,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f443,f529,f692,f879,f1091,f1103,f1105,f1134,f1151,f1169,f1461,f1484,f1846,f1903]) ).
fof(f1903,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1902]) ).
fof(f1902,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1901,f1884]) ).
fof(f1884,plain,
( sk_c5 != sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1883,f1176]) ).
fof(f1176,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f36,f85]) ).
fof(f85,plain,
( sk_c5 = sF0
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_2
<=> sk_c5 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f36,plain,
inverse(sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f1883,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f1860,f1650]) ).
fof(f1650,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f45,f112]) ).
fof(f112,plain,
( sk_c6 = sF6
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl11_9
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f45,plain,
multiply(sk_c7,sk_c5) = sF6,
introduced(function_definition,[]) ).
fof(f1860,plain,
( sk_c7 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| ~ spl11_4
| ~ spl11_8 ),
inference(superposition,[],[f109,f1391]) ).
fof(f1391,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f46,f95]) ).
fof(f95,plain,
( sk_c5 = sF7
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl11_4
<=> sk_c5 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f46,plain,
multiply(sk_c6,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f109,plain,
( ! [X4] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl11_8
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1901,plain,
( sk_c5 = sk_c7
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1899,f1826]) ).
fof(f1826,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_9 ),
inference(superposition,[],[f182,f1650]) ).
fof(f182,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f173,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f173,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f1899,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_3
| ~ spl11_13 ),
inference(superposition,[],[f182,f1795]) ).
fof(f1795,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1170,f90]) ).
fof(f90,plain,
( sk_c7 = sF5
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl11_3
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f1170,plain,
( sk_c6 = multiply(sF5,sk_c7)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f205,f43]) ).
fof(f43,plain,
inverse(sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f205,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c7)
| ~ spl11_13 ),
inference(superposition,[],[f182,f166]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f39,f134]) ).
fof(f134,plain,
( sk_c7 = sF2
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl11_13
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f39,plain,
multiply(sk_c4,sk_c6) = sF2,
introduced(function_definition,[]) ).
fof(f1846,plain,
( ~ spl11_3
| ~ spl11_5
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1845]) ).
fof(f1845,plain,
( $false
| ~ spl11_3
| ~ spl11_5
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1844,f1794]) ).
fof(f1794,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f43,f90]) ).
fof(f1844,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl11_5
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f1843]) ).
fof(f1843,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl11_5
| ~ spl11_13 ),
inference(superposition,[],[f99,f166]) ).
fof(f99,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl11_5
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1484,plain,
( spl11_15
| ~ spl11_12
| ~ spl11_14
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f1483,f531,f137,f127,f519]) ).
fof(f519,plain,
( spl11_15
<=> identity = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f127,plain,
( spl11_12
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f137,plain,
( spl11_14
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f531,plain,
( spl11_17
<=> identity = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f1483,plain,
( identity = sF9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1478,f1]) ).
fof(f1478,plain,
( multiply(identity,identity) = sF9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1395,f1477]) ).
fof(f1477,plain,
( identity = sk_c1
| ~ spl11_12
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1476,f2]) ).
fof(f1476,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_12
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f539,f1271]) ).
fof(f1271,plain,
( identity = sk_c7
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f139,f532]) ).
fof(f532,plain,
( identity = sF10
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f139,plain,
( sk_c7 = sF10
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f539,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f208,f129]) ).
fof(f129,plain,
( sk_c7 = sF3
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f208,plain,
sk_c1 = multiply(inverse(sF3),identity),
inference(superposition,[],[f182,f169]) ).
fof(f169,plain,
identity = multiply(sF3,sk_c1),
inference(superposition,[],[f2,f40]) ).
fof(f40,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f1395,plain,
( multiply(sk_c1,identity) = sF9
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f57,f1271]) ).
fof(f57,plain,
multiply(sk_c1,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f1461,plain,
( ~ spl11_15
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f1460,f531,f137,f132,f121,f116,f101,f88,f79,f519]) ).
fof(f79,plain,
( spl11_1
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f101,plain,
( spl11_6
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f116,plain,
( spl11_10
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f121,plain,
( spl11_11
<=> sk_c2 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f1460,plain,
( identity != sF9
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f122,f1450]) ).
fof(f1450,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1423,f1441]) ).
fof(f1441,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1436,f1]) ).
fof(f1436,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1432,f1435]) ).
fof(f1435,plain,
( identity = sF5
| ~ spl11_3
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f90,f1271]) ).
fof(f1432,plain,
( sk_c5 = multiply(sF5,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1405,f1414]) ).
fof(f1414,plain,
( sk_c5 = sk_c6
| ~ spl11_1
| ~ spl11_6
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1407,f1063]) ).
fof(f1063,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl11_1
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1036,f532]) ).
fof(f1036,plain,
( sk_c5 = multiply(sk_c5,sF10)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f213,f81]) ).
fof(f81,plain,
( sk_c5 = sF4
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f213,plain,
sk_c5 = multiply(sF4,sF10),
inference(forward_demodulation,[],[f207,f42]) ).
fof(f42,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f207,plain,
sk_c5 = multiply(inverse(sk_c3),sF10),
inference(superposition,[],[f182,f62]) ).
fof(f62,plain,
multiply(sk_c3,sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f1407,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl11_6
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1190,f1271]) ).
fof(f1190,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| ~ spl11_6 ),
inference(forward_demodulation,[],[f37,f102]) ).
fof(f102,plain,
( sk_c6 = sF1
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f37,plain,
multiply(sk_c5,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f1405,plain,
( sk_c6 = multiply(sF5,identity)
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1170,f1271]) ).
fof(f1423,plain,
( sk_c5 = sk_c2
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1412,f1414]) ).
fof(f1412,plain,
( sk_c6 = sk_c2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1409,f195]) ).
fof(f195,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f182,f1]) ).
fof(f1409,plain,
( sk_c2 = multiply(inverse(identity),sk_c6)
| ~ spl11_10
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1384,f1271]) ).
fof(f1384,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f202,f118]) ).
fof(f118,plain,
( sk_c6 = sF8
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f202,plain,
sk_c2 = multiply(inverse(sk_c7),sF8),
inference(superposition,[],[f182,f48]) ).
fof(f48,plain,
multiply(sk_c7,sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f122,plain,
( sk_c2 != sF9
| spl11_11 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f1169,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1167,f1024]) ).
fof(f1024,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1023,f980]) ).
fof(f980,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f961,f976]) ).
fof(f976,plain,
( ! [X1] : multiply(sk_c7,X1) = X1
| ~ spl11_1
| ~ spl11_6
| ~ spl11_14 ),
inference(forward_demodulation,[],[f787,f182]) ).
fof(f787,plain,
( ! [X1] : multiply(inverse(sk_c5),multiply(sk_c5,X1)) = multiply(sk_c7,X1)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f782,f786]) ).
fof(f786,plain,
( ! [X8] : multiply(sk_c5,X8) = multiply(sk_c6,X8)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_14 ),
inference(forward_demodulation,[],[f785,f763]) ).
fof(f763,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl11_1
| ~ spl11_14 ),
inference(backward_demodulation,[],[f744,f139]) ).
fof(f744,plain,
( ! [X0] : multiply(sk_c5,multiply(sF10,X0)) = multiply(sk_c5,X0)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f282,f81]) ).
fof(f282,plain,
! [X0] : multiply(sk_c5,X0) = multiply(sF4,multiply(sF10,X0)),
inference(forward_demodulation,[],[f280,f42]) ).
fof(f280,plain,
! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c3),multiply(sF10,X0)),
inference(superposition,[],[f182,f180]) ).
fof(f180,plain,
! [X14] : multiply(sk_c3,multiply(sk_c5,X14)) = multiply(sF10,X14),
inference(superposition,[],[f3,f62]) ).
fof(f785,plain,
( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c5,multiply(sk_c7,X8))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f174,f102]) ).
fof(f174,plain,
! [X8] : multiply(sk_c5,multiply(sk_c7,X8)) = multiply(sF1,X8),
inference(superposition,[],[f3,f37]) ).
fof(f782,plain,
( ! [X1] : multiply(sk_c7,X1) = multiply(inverse(sk_c5),multiply(sk_c6,X1))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f253,f102]) ).
fof(f253,plain,
! [X1] : multiply(sk_c7,X1) = multiply(inverse(sk_c5),multiply(sF1,X1)),
inference(superposition,[],[f182,f174]) ).
fof(f961,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f950,f960]) ).
fof(f960,plain,
( identity = sk_c2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f953,f2]) ).
fof(f953,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f202,f951]) ).
fof(f951,plain,
( sk_c7 = sF8
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f48,f950]) ).
fof(f950,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f775,f129]) ).
fof(f775,plain,
( sk_c7 = multiply(sF3,sk_c2)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f214,f123]) ).
fof(f123,plain,
( sk_c2 = sF9
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f214,plain,
sk_c7 = multiply(sF3,sF9),
inference(forward_demodulation,[],[f206,f40]) ).
fof(f206,plain,
sk_c7 = multiply(inverse(sk_c1),sF9),
inference(superposition,[],[f182,f57]) ).
fof(f1023,plain,
( sk_c7 = inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f542,f995]) ).
fof(f995,plain,
( identity = sk_c1
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f987,f2]) ).
fof(f987,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f539,f980]) ).
fof(f542,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f40,f129]) ).
fof(f1167,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1161,f1024]) ).
fof(f1161,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f1158]) ).
fof(f1158,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f1155,f2]) ).
fof(f1155,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1154,f980]) ).
fof(f1154,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c7 != inverse(X6) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1153,f980]) ).
fof(f1153,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| sk_c7 != inverse(X6) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f99,f991]) ).
fof(f991,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f970,f980]) ).
fof(f970,plain,
( sk_c7 = sk_c6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f118,f951]) ).
fof(f1151,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1149,f1]) ).
fof(f1149,plain,
( identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1139,f1024]) ).
fof(f1139,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f1138,f1]) ).
fof(f1138,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1137,f991]) ).
fof(f1137,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(identity,multiply(X4,identity)) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1136,f980]) ).
fof(f1136,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f109,f980]) ).
fof(f1134,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1126,f1024]) ).
fof(f1126,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f1121]) ).
fof(f1121,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f1101,f1]) ).
fof(f1101,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1098,f1073]) ).
fof(f1073,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1072,f1024]) ).
fof(f1072,plain,
( sk_c5 = inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f783,f1069]) ).
fof(f1069,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f737,f992]) ).
fof(f992,plain,
( identity = multiply(inverse(sk_c5),identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f971,f980]) ).
fof(f971,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c7)
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f757,f970]) ).
fof(f757,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f199,f102]) ).
fof(f199,plain,
sk_c7 = multiply(inverse(sk_c5),sF1),
inference(superposition,[],[f182,f37]) ).
fof(f737,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f209,f81]) ).
fof(f209,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f182,f170]) ).
fof(f170,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f42]) ).
fof(f783,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f42,f81]) ).
fof(f1098,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,sk_c5) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f985,f1073]) ).
fof(f985,plain,
( ! [X5] :
( sk_c5 != inverse(X5)
| identity != multiply(X5,sk_c5) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f106,f980]) ).
fof(f106,plain,
( ! [X5] :
( sk_c5 != inverse(X5)
| sk_c7 != multiply(X5,sk_c5) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl11_7
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c5)
| sk_c5 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f1105,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1095,f1073]) ).
fof(f1095,plain,
( identity != sk_c5
| ~ spl11_1
| spl11_2
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f84,f1094]) ).
fof(f1094,plain,
( identity = sF0
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1093,f1024]) ).
fof(f1093,plain,
( inverse(identity) = sF0
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f36,f991]) ).
fof(f84,plain,
( sk_c5 != sF0
| spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f1103,plain,
( ~ spl11_1
| ~ spl11_6
| spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1053,f1073]) ).
fof(f1053,plain,
( identity != sk_c5
| ~ spl11_1
| ~ spl11_6
| spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1052,f991]) ).
fof(f1052,plain,
( sk_c5 != sk_c6
| ~ spl11_1
| ~ spl11_6
| spl11_9
| ~ spl11_14 ),
inference(forward_demodulation,[],[f113,f981]) ).
fof(f981,plain,
( sk_c5 = sF6
| ~ spl11_1
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f45,f976]) ).
fof(f113,plain,
( sk_c6 != sF6
| spl11_9 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f1091,plain,
( ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1090,plain,
( $false
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1089,f1008]) ).
fof(f1008,plain,
( identity != sk_c5
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f94,f1006]) ).
fof(f1006,plain,
( identity = sF7
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f982,f980]) ).
fof(f982,plain,
( sk_c7 = sF7
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f972,f976]) ).
fof(f972,plain,
( sF7 = multiply(sk_c7,sk_c7)
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f46,f970]) ).
fof(f94,plain,
( sk_c5 != sF7
| spl11_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f1089,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1088,f980]) ).
fof(f1088,plain,
( sk_c5 = sk_c7
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1087,f1]) ).
fof(f1087,plain,
( sk_c7 = multiply(identity,sk_c5)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f773,f1069]) ).
fof(f773,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| ~ spl11_14 ),
inference(forward_demodulation,[],[f62,f139]) ).
fof(f879,plain,
( spl11_17
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f871,f137,f132,f101,f88,f83,f79,f531]) ).
fof(f871,plain,
( identity = sF10
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f815,f864]) ).
fof(f864,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(forward_demodulation,[],[f858,f2]) ).
fof(f858,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c5)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f823,f850]) ).
fof(f850,plain,
( sk_c5 = sk_c6
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f769,f841]) ).
fof(f841,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f816,f838]) ).
fof(f838,plain,
( sk_c6 = sk_c4
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(forward_demodulation,[],[f820,f200]) ).
fof(f200,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl11_2 ),
inference(superposition,[],[f182,f167]) ).
fof(f167,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl11_2 ),
inference(superposition,[],[f2,f163]) ).
fof(f163,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f36,f85]) ).
fof(f820,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f203,f810]) ).
fof(f810,plain,
( sk_c5 = sk_c7
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f774,f802]) ).
fof(f802,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f788,f800]) ).
fof(f800,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f796,f789]) ).
fof(f789,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f184,f786]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl11_2 ),
inference(forward_demodulation,[],[f183,f1]) ).
fof(f183,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl11_2 ),
inference(superposition,[],[f3,f167]) ).
fof(f796,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f763,f795]) ).
fof(f795,plain,
( ! [X14] : multiply(sk_c5,X14) = multiply(sk_c7,X14)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f761,f788]) ).
fof(f761,plain,
( ! [X14] : multiply(sk_c6,multiply(sk_c5,X14)) = multiply(sk_c7,X14)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_14 ),
inference(backward_demodulation,[],[f747,f139]) ).
fof(f747,plain,
( ! [X14] : multiply(sk_c6,multiply(sk_c5,X14)) = multiply(sF10,X14)
| ~ spl11_1
| ~ spl11_2 ),
inference(backward_demodulation,[],[f180,f745]) ).
fof(f745,plain,
( sk_c6 = sk_c3
| ~ spl11_1
| ~ spl11_2 ),
inference(backward_demodulation,[],[f737,f200]) ).
fof(f788,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f764,f786]) ).
fof(f764,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c6,X0)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(forward_demodulation,[],[f760,f239]) ).
fof(f239,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl11_3
| ~ spl11_13 ),
inference(forward_demodulation,[],[f237,f162]) ).
fof(f162,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f43,f90]) ).
fof(f237,plain,
( ! [X0] : multiply(inverse(sk_c4),multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl11_13 ),
inference(superposition,[],[f182,f178]) ).
fof(f178,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c6,X12)) = multiply(sk_c7,X12)
| ~ spl11_13 ),
inference(superposition,[],[f3,f166]) ).
fof(f760,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f755,f139]) ).
fof(f755,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sF10,multiply(sk_c7,X0))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6 ),
inference(backward_demodulation,[],[f753,f102]) ).
fof(f753,plain,
( ! [X0] : multiply(sk_c6,multiply(sF1,X0)) = multiply(sF10,multiply(sk_c7,X0))
| ~ spl11_1
| ~ spl11_2 ),
inference(forward_demodulation,[],[f276,f745]) ).
fof(f276,plain,
! [X0] : multiply(sk_c3,multiply(sF1,X0)) = multiply(sF10,multiply(sk_c7,X0)),
inference(superposition,[],[f180,f174]) ).
fof(f774,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_14 ),
inference(forward_demodulation,[],[f773,f745]) ).
fof(f203,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl11_3 ),
inference(superposition,[],[f182,f168]) ).
fof(f168,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl11_3 ),
inference(superposition,[],[f2,f162]) ).
fof(f816,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f166,f810]) ).
fof(f769,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(forward_demodulation,[],[f768,f745]) ).
fof(f768,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(forward_demodulation,[],[f767,f102]) ).
fof(f767,plain,
( sk_c6 = multiply(sk_c3,sF1)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14 ),
inference(forward_demodulation,[],[f766,f215]) ).
fof(f215,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_13 ),
inference(forward_demodulation,[],[f205,f162]) ).
fof(f766,plain,
( multiply(sk_c3,sF1) = multiply(sk_c7,sk_c7)
| ~ spl11_14 ),
inference(forward_demodulation,[],[f278,f139]) ).
fof(f278,plain,
multiply(sk_c3,sF1) = multiply(sF10,sk_c7),
inference(superposition,[],[f180,f37]) ).
fof(f823,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f288,f810]) ).
fof(f288,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_3
| ~ spl11_13 ),
inference(superposition,[],[f182,f215]) ).
fof(f815,plain,
( sk_c5 = sF10
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f139,f810]) ).
fof(f692,plain,
( ~ spl11_2
| ~ spl11_3
| spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f691,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f690,f651]) ).
fof(f651,plain,
( identity != sF7
| ~ spl11_2
| ~ spl11_3
| spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f94,f649]) ).
fof(f649,plain,
( identity = sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f602,f644]) ).
fof(f644,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f630,f638]) ).
fof(f638,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f580,f624]) ).
fof(f624,plain,
( sk_c5 = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f118,f605]) ).
fof(f605,plain,
( sk_c5 = sF8
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f604,f602]) ).
fof(f604,plain,
( multiply(sk_c5,identity) = sF8
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f293,f593]) ).
fof(f593,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f592,f543]) ).
fof(f543,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f331,f102]) ).
fof(f331,plain,
( identity = multiply(sF1,sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f290,f291]) ).
fof(f291,plain,
( sk_c5 = sk_c7
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f288,f201]) ).
fof(f201,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_9 ),
inference(superposition,[],[f182,f164]) ).
fof(f164,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f45,f112]) ).
fof(f290,plain,
( identity = multiply(sF1,sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_13 ),
inference(forward_demodulation,[],[f286,f167]) ).
fof(f286,plain,
( multiply(sF1,sk_c7) = multiply(sk_c5,sk_c6)
| ~ spl11_3
| ~ spl11_13 ),
inference(superposition,[],[f174,f215]) ).
fof(f592,plain,
( sk_c2 = multiply(sk_c6,sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f591,f561]) ).
fof(f561,plain,
( sk_c6 = sk_c1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f548,f200]) ).
fof(f548,plain,
( sk_c1 = multiply(inverse(sk_c5),identity)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f539,f291]) ).
fof(f591,plain,
( sk_c2 = multiply(sk_c1,sk_c5)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f294,f123]) ).
fof(f294,plain,
( multiply(sk_c1,sk_c5) = sF9
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f57,f291]) ).
fof(f293,plain,
( sF8 = multiply(sk_c5,sk_c2)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f48,f291]) ).
fof(f580,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f579,f184]) ).
fof(f579,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f578,f291]) ).
fof(f578,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f252,f102]) ).
fof(f252,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c7,multiply(sF1,X0))
| ~ spl11_9 ),
inference(superposition,[],[f175,f174]) ).
fof(f175,plain,
( ! [X9] : multiply(sk_c6,X9) = multiply(sk_c7,multiply(sk_c5,X9))
| ~ spl11_9 ),
inference(superposition,[],[f3,f164]) ).
fof(f630,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f322,f624]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f239,f291]) ).
fof(f602,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f601,f291]) ).
fof(f601,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f217,f586]) ).
fof(f586,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f570,f583]) ).
fof(f583,plain,
( ! [X13] : multiply(sk_c2,X13) = X13
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f582,f123]) ).
fof(f582,plain,
( ! [X13] : multiply(sF9,X13) = X13
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f581,f580]) ).
fof(f581,plain,
( ! [X13] : multiply(sF9,X13) = multiply(sk_c6,multiply(sk_c5,X13))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f307,f561]) ).
fof(f307,plain,
( ! [X13] : multiply(sF9,X13) = multiply(sk_c1,multiply(sk_c5,X13))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f179,f291]) ).
fof(f179,plain,
! [X13] : multiply(sF9,X13) = multiply(sk_c1,multiply(sk_c7,X13)),
inference(superposition,[],[f3,f57]) ).
fof(f570,plain,
( multiply(sk_c2,sk_c5) = multiply(sk_c6,sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f564,f123]) ).
fof(f564,plain,
( multiply(sk_c6,sk_c6) = multiply(sF9,sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f547,f561]) ).
fof(f547,plain,
( multiply(sF9,sk_c5) = multiply(sk_c1,sk_c6)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f285,f291]) ).
fof(f285,plain,
( multiply(sF9,sk_c7) = multiply(sk_c1,sk_c6)
| ~ spl11_3
| ~ spl11_13 ),
inference(superposition,[],[f179,f215]) ).
fof(f217,plain,
( multiply(sk_c7,identity) = multiply(sk_c6,sk_c6)
| ~ spl11_2
| ~ spl11_9 ),
inference(superposition,[],[f175,f167]) ).
fof(f690,plain,
( identity = sF7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f689,f1]) ).
fof(f689,plain,
( multiply(identity,identity) = sF7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f688,f661]) ).
fof(f661,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f624,f649]) ).
fof(f688,plain,
( multiply(sk_c6,identity) = sF7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f46,f652]) ).
fof(f652,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f291,f649]) ).
fof(f529,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f527,f383]) ).
fof(f383,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f335,f350]) ).
fof(f350,plain,
( identity = sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f313,f336]) ).
fof(f336,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f167,f332]) ).
fof(f332,plain,
( sk_c5 = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f298,f313]) ).
fof(f298,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f164,f291]) ).
fof(f313,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f211,f291]) ).
fof(f211,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl11_2
| ~ spl11_4 ),
inference(forward_demodulation,[],[f204,f163]) ).
fof(f204,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl11_4 ),
inference(superposition,[],[f182,f165]) ).
fof(f165,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f46,f95]) ).
fof(f335,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f163,f332]) ).
fof(f527,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f514,f383]) ).
fof(f514,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f511]) ).
fof(f511,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(superposition,[],[f492,f2]) ).
fof(f492,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f491,f350]) ).
fof(f491,plain,
( ! [X5] :
( sk_c5 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f490,f362]) ).
fof(f362,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f291,f350]) ).
fof(f490,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c5 != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f106,f350]) ).
fof(f443,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f442,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f441,f395]) ).
fof(f395,plain,
( identity != sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f333,f350]) ).
fof(f333,plain,
( sk_c5 != sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f103,f332]) ).
fof(f103,plain,
( sk_c6 != sF1
| spl11_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f441,plain,
( identity = sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f440,f1]) ).
fof(f440,plain,
( sF1 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f292,f350]) ).
fof(f292,plain,
( sF1 = multiply(sk_c5,sk_c5)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f37,f291]) ).
fof(f161,plain,
( spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f59,f101,f111]) ).
fof(f59,plain,
( sk_c6 = sF1
| sk_c6 = sF6 ),
inference(definition_folding,[],[f6,f37,f45]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f160,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f51,f116,f111]) ).
fof(f51,plain,
( sk_c6 = sF8
| sk_c6 = sF6 ),
inference(definition_folding,[],[f11,f45,f48]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f159,plain,
( spl11_1
| spl11_9 ),
inference(avatar_split_clause,[],[f54,f111,f79]) ).
fof(f54,plain,
( sk_c6 = sF6
| sk_c5 = sF4 ),
inference(definition_folding,[],[f31,f42,f45]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f158,plain,
( spl11_11
| spl11_2 ),
inference(avatar_split_clause,[],[f60,f83,f121]) ).
fof(f60,plain,
( sk_c5 = sF0
| sk_c2 = sF9 ),
inference(definition_folding,[],[f15,f36,f57]) ).
fof(f15,axiom,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f157,plain,
( spl11_14
| spl11_4 ),
inference(avatar_split_clause,[],[f67,f93,f137]) ).
fof(f67,plain,
( sk_c5 = sF7
| sk_c7 = sF10 ),
inference(definition_folding,[],[f24,f62,f46]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f156,plain,
( spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f61,f88,f101]) ).
fof(f61,plain,
( sk_c7 = sF5
| sk_c6 = sF1 ),
inference(definition_folding,[],[f7,f43,f37]) ).
fof(f7,axiom,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f155,plain,
( spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f38,f101,f83]) ).
fof(f38,plain,
( sk_c6 = sF1
| sk_c5 = sF0 ),
inference(definition_folding,[],[f5,f37,f36]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f154,plain,
( spl11_1
| spl11_13 ),
inference(avatar_split_clause,[],[f52,f132,f79]) ).
fof(f52,plain,
( sk_c7 = sF2
| sk_c5 = sF4 ),
inference(definition_folding,[],[f33,f39,f42]) ).
fof(f33,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f153,plain,
( spl11_13
| spl11_6 ),
inference(avatar_split_clause,[],[f66,f101,f132]) ).
fof(f66,plain,
( sk_c6 = sF1
| sk_c7 = sF2 ),
inference(definition_folding,[],[f8,f37,f39]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f152,plain,
( spl11_10
| spl11_13 ),
inference(avatar_split_clause,[],[f74,f132,f116]) ).
fof(f74,plain,
( sk_c7 = sF2
| sk_c6 = sF8 ),
inference(definition_folding,[],[f13,f39,f48]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f151,plain,
( spl11_3
| spl11_10 ),
inference(avatar_split_clause,[],[f69,f116,f88]) ).
fof(f69,plain,
( sk_c6 = sF8
| sk_c7 = sF5 ),
inference(definition_folding,[],[f12,f43,f48]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f150,plain,
( spl11_12
| spl11_9 ),
inference(avatar_split_clause,[],[f53,f111,f127]) ).
fof(f53,plain,
( sk_c6 = sF6
| sk_c7 = sF3 ),
inference(definition_folding,[],[f21,f45,f40]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f149,plain,
( spl11_14
| spl11_2 ),
inference(avatar_split_clause,[],[f64,f83,f137]) ).
fof(f64,plain,
( sk_c5 = sF0
| sk_c7 = sF10 ),
inference(definition_folding,[],[f25,f62,f36]) ).
fof(f25,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f148,plain,
( spl11_12
| spl11_13 ),
inference(avatar_split_clause,[],[f41,f132,f127]) ).
fof(f41,plain,
( sk_c7 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f23,f40,f39]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f147,plain,
( spl11_6
| spl11_4 ),
inference(avatar_split_clause,[],[f73,f93,f101]) ).
fof(f73,plain,
( sk_c5 = sF7
| sk_c6 = sF1 ),
inference(definition_folding,[],[f4,f37,f46]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f146,plain,
( spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f58,f121,f88]) ).
fof(f58,plain,
( sk_c2 = sF9
| sk_c7 = sF5 ),
inference(definition_folding,[],[f17,f43,f57]) ).
fof(f17,axiom,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f145,plain,
( spl11_13
| spl11_14 ),
inference(avatar_split_clause,[],[f63,f137,f132]) ).
fof(f63,plain,
( sk_c7 = sF10
| sk_c7 = sF2 ),
inference(definition_folding,[],[f28,f39,f62]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c3,sk_c5)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f144,plain,
( spl11_14
| spl11_9 ),
inference(avatar_split_clause,[],[f77,f111,f137]) ).
fof(f77,plain,
( sk_c6 = sF6
| sk_c7 = sF10 ),
inference(definition_folding,[],[f26,f62,f45]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f143,plain,
( spl11_2
| spl11_12 ),
inference(avatar_split_clause,[],[f55,f127,f83]) ).
fof(f55,plain,
( sk_c7 = sF3
| sk_c5 = sF0 ),
inference(definition_folding,[],[f20,f40,f36]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f142,plain,
( spl11_12
| spl11_4 ),
inference(avatar_split_clause,[],[f50,f93,f127]) ).
fof(f50,plain,
( sk_c5 = sF7
| sk_c7 = sF3 ),
inference(definition_folding,[],[f19,f40,f46]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f141,plain,
( spl11_4
| spl11_11 ),
inference(avatar_split_clause,[],[f76,f121,f93]) ).
fof(f76,plain,
( sk_c2 = sF9
| sk_c5 = sF7 ),
inference(definition_folding,[],[f14,f57,f46]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f140,plain,
( spl11_14
| spl11_3 ),
inference(avatar_split_clause,[],[f70,f88,f137]) ).
fof(f70,plain,
( sk_c7 = sF5
| sk_c7 = sF10 ),
inference(definition_folding,[],[f27,f43,f62]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c3,sk_c5)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f135,plain,
( spl11_11
| spl11_13 ),
inference(avatar_split_clause,[],[f68,f132,f121]) ).
fof(f68,plain,
( sk_c7 = sF2
| sk_c2 = sF9 ),
inference(definition_folding,[],[f18,f39,f57]) ).
fof(f18,axiom,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f130,plain,
( spl11_12
| spl11_3 ),
inference(avatar_split_clause,[],[f56,f88,f127]) ).
fof(f56,plain,
( sk_c7 = sF5
| sk_c7 = sF3 ),
inference(definition_folding,[],[f22,f43,f40]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f125,plain,
( spl11_10
| spl11_2 ),
inference(avatar_split_clause,[],[f49,f83,f116]) ).
fof(f49,plain,
( sk_c5 = sF0
| sk_c6 = sF8 ),
inference(definition_folding,[],[f10,f36,f48]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f124,plain,
( spl11_9
| spl11_11 ),
inference(avatar_split_clause,[],[f65,f121,f111]) ).
fof(f65,plain,
( sk_c2 = sF9
| sk_c6 = sF6 ),
inference(definition_folding,[],[f16,f45,f57]) ).
fof(f16,axiom,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f119,plain,
( spl11_10
| spl11_4 ),
inference(avatar_split_clause,[],[f72,f93,f116]) ).
fof(f72,plain,
( sk_c5 = sF7
| sk_c6 = sF8 ),
inference(definition_folding,[],[f9,f48,f46]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f114,plain,
( spl11_5
| ~ spl11_6
| spl11_7
| ~ spl11_4
| ~ spl11_2
| spl11_8
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f47,f111,f108,f83,f93,f105,f101,f98]) ).
fof(f47,plain,
! [X6,X4,X5] :
( sk_c6 != sF6
| sk_c7 != inverse(X4)
| sk_c5 != sF0
| sk_c5 != sF7
| sk_c7 != multiply(X5,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c6 != sF1
| sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6)
| sk_c5 != inverse(X5) ),
inference(definition_folding,[],[f35,f46,f45,f37,f36]) ).
fof(f35,plain,
! [X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4)
| sk_c5 != inverse(sk_c6)
| multiply(sk_c5,sk_c7) != sk_c6
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != inverse(X5)
| sk_c7 != inverse(X6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X6,sk_c6) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c5)
| sk_c6 != multiply(sk_c7,X3)
| sk_c7 != inverse(X4)
| multiply(X4,sk_c7) != X3
| sk_c5 != inverse(sk_c6)
| multiply(sk_c5,sk_c7) != sk_c6
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != inverse(X5)
| sk_c7 != inverse(X6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X6,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f91,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f44,f88,f79]) ).
fof(f44,plain,
( sk_c7 = sF5
| sk_c5 = sF4 ),
inference(definition_folding,[],[f32,f43,f42]) ).
fof(f32,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f86,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f71,f83,f79]) ).
fof(f71,plain,
( sk_c5 = sF0
| sk_c5 = sF4 ),
inference(definition_folding,[],[f30,f42,f36]) ).
fof(f30,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP368-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 22:26:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (23815)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50 % (23831)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (23839)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.51 % (23815)Refutation not found, incomplete strategy% (23815)------------------------------
% 0.19/0.51 % (23815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23835)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (23824)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51 % (23827)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (23817)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51 % (23823)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51 % (23835)Refutation not found, incomplete strategy% (23835)------------------------------
% 0.19/0.51 % (23835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23835)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (23835)Memory used [KB]: 5884
% 0.19/0.51 % (23835)Time elapsed: 0.063 s
% 0.19/0.51 % (23835)Instructions burned: 4 (million)
% 0.19/0.51 % (23835)------------------------------
% 0.19/0.51 % (23835)------------------------------
% 0.19/0.51 % (23815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23815)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (23815)Memory used [KB]: 5884
% 0.19/0.51 % (23815)Time elapsed: 0.115 s
% 0.19/0.51 % (23815)Instructions burned: 5 (million)
% 0.19/0.51 % (23815)------------------------------
% 0.19/0.51 % (23815)------------------------------
% 1.29/0.51 % (23820)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.51 % (23820)Instruction limit reached!
% 1.29/0.51 % (23820)------------------------------
% 1.29/0.51 % (23820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.51 % (23820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.51 % (23820)Termination reason: Unknown
% 1.29/0.51 % (23820)Termination phase: Saturation
% 1.29/0.51
% 1.29/0.51 % (23820)Memory used [KB]: 5884
% 1.29/0.51 % (23820)Time elapsed: 0.116 s
% 1.29/0.51 % (23820)Instructions burned: 4 (million)
% 1.29/0.51 % (23820)------------------------------
% 1.29/0.51 % (23820)------------------------------
% 1.29/0.51 % (23824)Instruction limit reached!
% 1.29/0.51 % (23824)------------------------------
% 1.29/0.51 % (23824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (23824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (23824)Termination reason: Unknown
% 1.29/0.52 % (23824)Termination phase: Saturation
% 1.29/0.52
% 1.29/0.52 % (23824)Memory used [KB]: 5884
% 1.29/0.52 % (23824)Time elapsed: 0.060 s
% 1.29/0.52 % (23824)Instructions burned: 5 (million)
% 1.29/0.52 % (23824)------------------------------
% 1.29/0.52 % (23824)------------------------------
% 1.29/0.52 % (23831)Instruction limit reached!
% 1.29/0.52 % (23831)------------------------------
% 1.29/0.52 % (23831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (23831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (23831)Termination reason: Unknown
% 1.29/0.52 % (23831)Termination phase: Saturation
% 1.29/0.52
% 1.29/0.52 % (23831)Memory used [KB]: 6012
% 1.29/0.52 % (23831)Time elapsed: 0.128 s
% 1.29/0.52 % (23831)Instructions burned: 7 (million)
% 1.29/0.52 % (23831)------------------------------
% 1.29/0.52 % (23831)------------------------------
% 1.29/0.52 % (23827)Instruction limit reached!
% 1.29/0.52 % (23827)------------------------------
% 1.29/0.52 % (23827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (23827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (23827)Termination reason: Unknown
% 1.29/0.52 % (23827)Termination phase: Finite model building preprocessing
% 1.29/0.52
% 1.29/0.52 % (23827)Memory used [KB]: 6012
% 1.29/0.52 % (23827)Time elapsed: 0.007 s
% 1.29/0.52 % (23827)Instructions burned: 7 (million)
% 1.29/0.52 % (23827)------------------------------
% 1.29/0.52 % (23827)------------------------------
% 1.29/0.52 % (23818)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.29/0.52 % (23812)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.29/0.52 % (23833)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.29/0.52 % (23814)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.29/0.52 % (23834)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.29/0.53 % (23813)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.29/0.53 % (23840)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.29/0.53 % (23841)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53 % (23816)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.41/0.53 % (23836)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.41/0.53 % (23822)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=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.41/0.53 % (23829)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.41/0.54 % (23822)Instruction limit reached!
% 1.41/0.54 % (23822)------------------------------
% 1.41/0.54 % (23822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23822)Termination reason: Unknown
% 1.41/0.54 % (23822)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23822)Memory used [KB]: 6012
% 1.41/0.54 % (23822)Time elapsed: 0.134 s
% 1.41/0.54 % (23822)Instructions burned: 7 (million)
% 1.41/0.54 % (23822)------------------------------
% 1.41/0.54 % (23822)------------------------------
% 1.41/0.54 % (23821)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54 % (23832)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.41/0.54 % (23819)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54 % (23826)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.41/0.54 % (23832)Instruction limit reached!
% 1.41/0.54 % (23832)------------------------------
% 1.41/0.54 % (23832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23832)Termination reason: Unknown
% 1.41/0.54 % (23832)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23832)Memory used [KB]: 1407
% 1.41/0.54 % (23832)Time elapsed: 0.140 s
% 1.41/0.54 % (23832)Instructions burned: 7 (million)
% 1.41/0.54 % (23832)------------------------------
% 1.41/0.54 % (23832)------------------------------
% 1.41/0.54 % (23828)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.54 % (23828)Instruction limit reached!
% 1.41/0.54 % (23828)------------------------------
% 1.41/0.54 % (23828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23828)Termination reason: Unknown
% 1.41/0.54 % (23828)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23828)Memory used [KB]: 1279
% 1.41/0.54 % (23828)Time elapsed: 0.003 s
% 1.41/0.54 % (23828)Instructions burned: 2 (million)
% 1.41/0.54 % (23828)------------------------------
% 1.41/0.54 % (23828)------------------------------
% 1.41/0.54 % (23825)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.54 % (23825)Instruction limit reached!
% 1.41/0.54 % (23825)------------------------------
% 1.41/0.54 % (23825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23825)Termination reason: Unknown
% 1.41/0.54 % (23825)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23825)Memory used [KB]: 5884
% 1.41/0.54 % (23825)Time elapsed: 0.002 s
% 1.41/0.54 % (23825)Instructions burned: 3 (million)
% 1.41/0.54 % (23825)------------------------------
% 1.41/0.54 % (23825)------------------------------
% 1.41/0.55 % (23814)Instruction limit reached!
% 1.41/0.55 % (23814)------------------------------
% 1.41/0.55 % (23814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23814)Termination reason: Unknown
% 1.41/0.55 % (23814)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (23814)Memory used [KB]: 5884
% 1.41/0.55 % (23814)Time elapsed: 0.004 s
% 1.41/0.55 % (23814)Instructions burned: 4 (million)
% 1.41/0.55 % (23814)------------------------------
% 1.41/0.55 % (23814)------------------------------
% 1.41/0.55 % (23837)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.41/0.55 % (23830)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.41/0.55 % (23823)Instruction limit reached!
% 1.41/0.55 % (23823)------------------------------
% 1.41/0.55 % (23823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23823)Termination reason: Unknown
% 1.41/0.55 % (23823)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (23823)Memory used [KB]: 6268
% 1.41/0.55 % (23823)Time elapsed: 0.157 s
% 1.41/0.55 % (23823)Instructions burned: 23 (million)
% 1.41/0.55 % (23823)------------------------------
% 1.41/0.55 % (23823)------------------------------
% 1.41/0.55 % (23830)Refutation not found, incomplete strategy% (23830)------------------------------
% 1.41/0.55 % (23830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23830)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.55
% 1.41/0.55 % (23830)Memory used [KB]: 10490
% 1.41/0.55 % (23830)Time elapsed: 0.138 s
% 1.41/0.55 % (23830)Instructions burned: 6 (million)
% 1.41/0.55 % (23830)------------------------------
% 1.41/0.55 % (23830)------------------------------
% 1.41/0.55 % (23829)Instruction limit reached!
% 1.41/0.55 % (23829)------------------------------
% 1.41/0.55 % (23829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23829)Termination reason: Unknown
% 1.41/0.55 % (23829)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (23829)Memory used [KB]: 6012
% 1.41/0.55 % (23829)Time elapsed: 0.144 s
% 1.41/0.55 % (23829)Instructions burned: 8 (million)
% 1.41/0.55 % (23829)------------------------------
% 1.41/0.55 % (23829)------------------------------
% 1.41/0.56 % (23817)Instruction limit reached!
% 1.41/0.56 % (23817)------------------------------
% 1.41/0.56 % (23817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (23817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (23817)Termination reason: Unknown
% 1.41/0.56 % (23817)Termination phase: Saturation
% 1.41/0.56
% 1.41/0.56 % (23817)Memory used [KB]: 6140
% 1.41/0.56 % (23817)Time elapsed: 0.150 s
% 1.41/0.56 % (23817)Instructions burned: 26 (million)
% 1.41/0.56 % (23817)------------------------------
% 1.41/0.56 % (23817)------------------------------
% 1.41/0.57 % (23838)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.41/0.57 % (23838)Refutation not found, incomplete strategy% (23838)------------------------------
% 1.41/0.57 % (23838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57 % (23838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (23838)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.57
% 1.41/0.57 % (23838)Memory used [KB]: 5884
% 1.41/0.57 % (23838)Time elapsed: 0.152 s
% 1.41/0.57 % (23838)Instructions burned: 4 (million)
% 1.41/0.57 % (23838)------------------------------
% 1.41/0.57 % (23838)------------------------------
% 1.41/0.57 % (23840)Instruction limit reached!
% 1.41/0.57 % (23840)------------------------------
% 1.41/0.57 % (23840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57 % (23840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (23840)Termination reason: Unknown
% 1.41/0.57 % (23840)Termination phase: Saturation
% 1.41/0.57
% 1.41/0.57 % (23840)Memory used [KB]: 6268
% 1.41/0.57 % (23840)Time elapsed: 0.135 s
% 1.41/0.57 % (23840)Instructions burned: 20 (million)
% 1.41/0.57 % (23840)------------------------------
% 1.41/0.57 % (23840)------------------------------
% 1.41/0.57 % (23816)Instruction limit reached!
% 1.41/0.57 % (23816)------------------------------
% 1.41/0.57 % (23816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57 % (23816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (23816)Termination reason: Unknown
% 1.41/0.57 % (23816)Termination phase: Saturation
% 1.41/0.57
% 1.41/0.57 % (23816)Memory used [KB]: 6396
% 1.41/0.57 % (23816)Time elapsed: 0.163 s
% 1.41/0.57 % (23816)Instructions burned: 34 (million)
% 1.41/0.57 % (23816)------------------------------
% 1.41/0.57 % (23816)------------------------------
% 1.41/0.59 % (23826)Instruction limit reached!
% 1.41/0.59 % (23826)------------------------------
% 1.41/0.59 % (23826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.59 % (23826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.59 % (23826)Termination reason: Unknown
% 1.41/0.59 % (23826)Termination phase: Saturation
% 1.41/0.59
% 1.41/0.59 % (23826)Memory used [KB]: 1663
% 1.41/0.59 % (23826)Time elapsed: 0.179 s
% 1.41/0.59 % (23826)Instructions burned: 29 (million)
% 1.41/0.59 % (23826)------------------------------
% 1.41/0.59 % (23826)------------------------------
% 1.41/0.60 % (23818)Instruction limit reached!
% 1.41/0.60 % (23818)------------------------------
% 1.41/0.60 % (23818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.60 % (23818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.60 % (23818)Termination reason: Unknown
% 1.41/0.60 % (23818)Termination phase: Saturation
% 1.41/0.60
% 1.41/0.60 % (23818)Memory used [KB]: 1663
% 1.41/0.60 % (23818)Time elapsed: 0.186 s
% 1.41/0.60 % (23818)Instructions burned: 50 (million)
% 1.41/0.60 % (23818)------------------------------
% 1.41/0.60 % (23818)------------------------------
% 1.41/0.61 % (23836)Instruction limit reached!
% 1.41/0.61 % (23836)------------------------------
% 1.41/0.61 % (23836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.61 % (23836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.61 % (23836)Termination reason: Unknown
% 1.41/0.61 % (23836)Termination phase: Saturation
% 1.41/0.61
% 1.41/0.61 % (23836)Memory used [KB]: 6780
% 1.41/0.61 % (23836)Time elapsed: 0.211 s
% 1.41/0.61 % (23836)Instructions burned: 46 (million)
% 1.41/0.61 % (23836)------------------------------
% 1.41/0.61 % (23836)------------------------------
% 1.41/0.61 % (23819)Instruction limit reached!
% 1.41/0.61 % (23819)------------------------------
% 1.41/0.61 % (23819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.61 % (23819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.61 % (23819)Termination reason: Unknown
% 1.41/0.61 % (23819)Termination phase: Saturation
% 1.41/0.61
% 1.41/0.61 % (23819)Memory used [KB]: 6524
% 1.41/0.61 % (23819)Time elapsed: 0.209 s
% 1.41/0.61 % (23819)Instructions burned: 51 (million)
% 1.41/0.61 % (23819)------------------------------
% 1.41/0.61 % (23819)------------------------------
% 1.41/0.62 % (23813)Instruction limit reached!
% 1.41/0.62 % (23813)------------------------------
% 1.41/0.62 % (23813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (23813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (23813)Termination reason: Unknown
% 1.41/0.62 % (23813)Termination phase: Saturation
% 1.41/0.62
% 1.41/0.62 % (23813)Memory used [KB]: 1663
% 1.41/0.62 % (23813)Time elapsed: 0.220 s
% 1.41/0.62 % (23813)Instructions burned: 43 (million)
% 1.41/0.62 % (23813)------------------------------
% 1.41/0.62 % (23813)------------------------------
% 1.41/0.62 % (23833)Instruction limit reached!
% 1.41/0.62 % (23833)------------------------------
% 1.41/0.62 % (23833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (23833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (23833)Termination reason: Unknown
% 1.41/0.62 % (23833)Termination phase: Saturation
% 1.41/0.62
% 1.41/0.62 % (23833)Memory used [KB]: 7164
% 1.41/0.62 % (23833)Time elapsed: 0.205 s
% 1.41/0.62 % (23833)Instructions burned: 68 (million)
% 1.41/0.62 % (23833)------------------------------
% 1.41/0.62 % (23833)------------------------------
% 1.41/0.62 % (23821)Instruction limit reached!
% 1.41/0.62 % (23821)------------------------------
% 1.41/0.62 % (23821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (23821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (23821)Termination reason: Unknown
% 1.41/0.62 % (23821)Termination phase: Saturation
% 1.41/0.62
% 1.41/0.62 % (23821)Memory used [KB]: 7036
% 1.41/0.62 % (23821)Time elapsed: 0.206 s
% 1.41/0.62 % (23821)Instructions burned: 52 (million)
% 1.41/0.62 % (23821)------------------------------
% 1.41/0.62 % (23821)------------------------------
% 1.41/0.62 % (23839)Instruction limit reached!
% 1.41/0.62 % (23839)------------------------------
% 1.41/0.62 % (23839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (23839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (23839)Termination reason: Unknown
% 1.41/0.62 % (23839)Termination phase: Saturation
% 1.41/0.62
% 1.41/0.62 % (23839)Memory used [KB]: 2046
% 1.41/0.62 % (23839)Time elapsed: 0.239 s
% 1.41/0.62 % (23839)Instructions burned: 74 (million)
% 1.41/0.62 % (23839)------------------------------
% 1.41/0.62 % (23839)------------------------------
% 1.94/0.63 % (23812)First to succeed.
% 1.94/0.64 % (23917)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.94/0.65 % (23812)Refutation found. Thanks to Tanya!
% 1.94/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.94/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.65 % (23812)------------------------------
% 1.94/0.65 % (23812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.65 % (23812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.65 % (23812)Termination reason: Refutation
% 1.94/0.65
% 1.94/0.65 % (23812)Memory used [KB]: 6652
% 1.94/0.65 % (23812)Time elapsed: 0.241 s
% 1.94/0.65 % (23812)Instructions burned: 62 (million)
% 1.94/0.65 % (23812)------------------------------
% 1.94/0.65 % (23812)------------------------------
% 1.94/0.65 % (23811)Success in time 0.284 s
%------------------------------------------------------------------------------