TSTP Solution File: GRP227-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP227-1 : 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 : n017.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 16:14:56 EDT 2022
% Result : Unsatisfiable 2.47s 0.60s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 58
% Syntax : Number of formulae : 367 ( 41 unt; 0 def)
% Number of atoms : 1500 ( 435 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2243 (1110 ~;1114 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1781,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f106,f123,f128,f133,f134,f135,f140,f141,f142,f143,f144,f145,f152,f153,f154,f155,f156,f157,f158,f160,f161,f163,f164,f165,f286,f342,f469,f482,f498,f539,f841,f850,f866,f932,f938,f979,f1038,f1053,f1370,f1412,f1724,f1748,f1763]) ).
fof(f1763,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_22 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1762,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_22 ),
inference(subsumption_resolution,[],[f1761,f1608]) ).
fof(f1608,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1252,f1600]) ).
fof(f1600,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1510,f1580]) ).
fof(f1580,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13 ),
inference(forward_demodulation,[],[f453,f1493]) ).
fof(f1493,plain,
( sk_c1 = sF0
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13 ),
inference(backward_demodulation,[],[f132,f1490]) ).
fof(f1490,plain,
( sk_c1 = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1261,f1489]) ).
fof(f1489,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1487,f1256]) ).
fof(f1256,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8 ),
inference(backward_demodulation,[],[f641,f1252]) ).
fof(f641,plain,
( inverse(sk_c8) = sk_c7
| ~ spl11_8 ),
inference(backward_demodulation,[],[f38,f112]) ).
fof(f112,plain,
( sk_c7 = sF1
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl11_8
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f38,plain,
inverse(sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f1487,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f506,f132]) ).
fof(f506,plain,
sk_c1 = multiply(inverse(sF0),identity),
inference(superposition,[],[f187,f453]) ).
fof(f187,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f178,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f178,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f1261,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1257,f1256]) ).
fof(f1257,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8 ),
inference(backward_demodulation,[],[f725,f1252]) ).
fof(f725,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f219,f112]) ).
fof(f219,plain,
sk_c8 = multiply(inverse(sF1),identity),
inference(superposition,[],[f187,f172]) ).
fof(f172,plain,
identity = multiply(sF1,sk_c8),
inference(superposition,[],[f2,f38]) ).
fof(f132,plain,
( sk_c8 = sF0
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl11_13
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f453,plain,
identity = multiply(sF0,sk_c1),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f1510,plain,
( sk_c7 = multiply(sk_c1,sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1488,f1490]) ).
fof(f1488,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f844,f132]) ).
fof(f844,plain,
( sk_c7 = multiply(sF0,sk_c8)
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f843,plain,
( spl11_20
<=> sk_c7 = multiply(sF0,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f1252,plain,
( sk_c8 = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f1250,f1251]) ).
fof(f1251,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl11_4
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1054,f96]) ).
fof(f96,plain,
( sk_c8 = sF9
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl11_4
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f1054,plain,
( sk_c8 = multiply(sF9,sk_c3)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f218,f53]) ).
fof(f53,plain,
inverse(sk_c2) = sF9,
introduced(function_definition,[]) ).
fof(f218,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl11_6 ),
inference(superposition,[],[f187,f170]) ).
fof(f170,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f49,f105]) ).
fof(f105,plain,
( sk_c3 = sF7
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl11_6
<=> sk_c3 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f49,plain,
multiply(sk_c2,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f1250,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f47,f86]) ).
fof(f86,plain,
( sk_c7 = sF6
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl11_2
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f47,plain,
multiply(sk_c8,sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f1761,plain,
( identity != sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_22 ),
inference(forward_demodulation,[],[f861,f1615]) ).
fof(f1615,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1503,f1609]) ).
fof(f1609,plain,
( identity = sk_c1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1490,f1608]) ).
fof(f1503,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1256,f1490]) ).
fof(f861,plain,
( sk_c8 != inverse(identity)
| spl11_22 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl11_22
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
fof(f1748,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_21 ),
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1747,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_21 ),
inference(subsumption_resolution,[],[f1746,f1600]) ).
fof(f1746,plain,
( identity != sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_21 ),
inference(forward_demodulation,[],[f1745,f1]) ).
fof(f1745,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_21 ),
inference(forward_demodulation,[],[f1744,f1609]) ).
fof(f1744,plain,
( sk_c7 != multiply(sk_c1,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20
| spl11_21 ),
inference(forward_demodulation,[],[f849,f1611]) ).
fof(f1611,plain,
( identity = sF0
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1493,f1609]) ).
fof(f849,plain,
( sk_c7 != multiply(sk_c1,sF0)
| spl11_21 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f847,plain,
( spl11_21
<=> sk_c7 = multiply(sk_c1,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f1724,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1723]) ).
fof(f1723,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1722,f1615]) ).
fof(f1722,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1717,f1615]) ).
fof(f1717,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1714]) ).
fof(f1714,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(superposition,[],[f1628,f2]) ).
fof(f1628,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1620,f1609]) ).
fof(f1620,plain,
( ! [X6] :
( sk_c1 != multiply(X6,sk_c1)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1518,f1609]) ).
fof(f1518,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c1 != multiply(X6,sk_c1) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1517,f1490]) ).
fof(f1517,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c8 != multiply(X6,sk_c8) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1254,f1490]) ).
fof(f1254,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c8) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f116,f1252]) ).
fof(f116,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl11_9
<=> ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f1412,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_22
| spl11_23 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1411,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_22
| spl11_23 ),
inference(subsumption_resolution,[],[f1404,f1]) ).
fof(f1404,plain,
( identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_22
| spl11_23 ),
inference(backward_demodulation,[],[f1259,f1381]) ).
fof(f1381,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_22 ),
inference(backward_demodulation,[],[f1261,f952]) ).
fof(f952,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_22 ),
inference(backward_demodulation,[],[f206,f860]) ).
fof(f860,plain,
( sk_c8 = inverse(identity)
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f206,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f187,f1]) ).
fof(f1259,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| spl11_23 ),
inference(backward_demodulation,[],[f865,f1252]) ).
fof(f865,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl11_23 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f863,plain,
( spl11_23
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f1370,plain,
( spl11_20
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f1369,f89,f843]) ).
fof(f89,plain,
( spl11_3
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f1369,plain,
( sk_c7 = multiply(sF0,sk_c8)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f826,f91]) ).
fof(f91,plain,
( sk_c8 = sF4
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f826,plain,
sk_c7 = multiply(sF0,sF4),
inference(forward_demodulation,[],[f824,f37]) ).
fof(f824,plain,
sk_c7 = multiply(inverse(sk_c1),sF4),
inference(superposition,[],[f187,f43]) ).
fof(f43,plain,
multiply(sk_c1,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f1053,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f1047,f963]) ).
fof(f963,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f860,f918]) ).
fof(f918,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f916,f2]) ).
fof(f916,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f722,f908]) ).
fof(f908,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f727,f906]) ).
fof(f906,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f420,f900]) ).
fof(f900,plain,
( ! [X11] : multiply(sk_c5,X11) = X11
| ~ spl11_1
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f899,f896]) ).
fof(f896,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f643,f895]) ).
fof(f895,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f894,f890]) ).
fof(f890,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl11_8
| ~ spl11_14 ),
inference(backward_demodulation,[],[f347,f889]) ).
fof(f889,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,X0)
| ~ spl11_8
| ~ spl11_14 ),
inference(forward_demodulation,[],[f888,f1]) ).
fof(f888,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c4,X0)
| ~ spl11_8
| ~ spl11_14 ),
inference(superposition,[],[f3,f642]) ).
fof(f642,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl11_8
| ~ spl11_14 ),
inference(backward_demodulation,[],[f548,f112]) ).
fof(f548,plain,
( sk_c4 = multiply(sF1,identity)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f346,f38]) ).
fof(f346,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f220,f139]) ).
fof(f139,plain,
( sk_c8 = sF8
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl11_14
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f220,plain,
sk_c4 = multiply(inverse(sF8),identity),
inference(superposition,[],[f187,f173]) ).
fof(f173,plain,
identity = multiply(sF8,sk_c4),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
inverse(sk_c4) = sF8,
introduced(function_definition,[]) ).
fof(f347,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl11_14 ),
inference(backward_demodulation,[],[f195,f139]) ).
fof(f195,plain,
! [X0] : multiply(sF8,multiply(sk_c4,X0)) = X0,
inference(forward_demodulation,[],[f194,f1]) ).
fof(f194,plain,
! [X0] : multiply(identity,X0) = multiply(sF8,multiply(sk_c4,X0)),
inference(superposition,[],[f3,f173]) ).
fof(f894,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f892,f349]) ).
fof(f349,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f51,f139]) ).
fof(f892,plain,
( ! [X0] : multiply(inverse(sk_c4),multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl11_12 ),
inference(superposition,[],[f187,f718]) ).
fof(f718,plain,
( ! [X10] : multiply(sk_c4,multiply(sk_c8,X10)) = multiply(sk_c7,X10)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f181,f127]) ).
fof(f127,plain,
( sk_c7 = sF2
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl11_12
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f181,plain,
! [X10] : multiply(sk_c4,multiply(sk_c8,X10)) = multiply(sF2,X10),
inference(superposition,[],[f3,f40]) ).
fof(f40,plain,
multiply(sk_c4,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f643,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl11_8 ),
inference(backward_demodulation,[],[f193,f112]) ).
fof(f193,plain,
! [X0] : multiply(sF1,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f192,f1]) ).
fof(f192,plain,
! [X0] : multiply(identity,X0) = multiply(sF1,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f172]) ).
fof(f899,plain,
( ! [X11] : multiply(sk_c7,X11) = multiply(sk_c5,multiply(sk_c7,X11))
| ~ spl11_1
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f720,f898]) ).
fof(f898,plain,
( ! [X12] : multiply(sk_c7,X12) = multiply(sk_c6,X12)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f721,f895]) ).
fof(f721,plain,
( ! [X12] : multiply(sk_c7,X12) = multiply(sk_c6,multiply(sk_c8,X12))
| ~ spl11_1 ),
inference(backward_demodulation,[],[f183,f82]) ).
fof(f82,plain,
( sk_c7 = sF5
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl11_1
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f183,plain,
! [X12] : multiply(sk_c6,multiply(sk_c8,X12)) = multiply(sF5,X12),
inference(superposition,[],[f3,f45]) ).
fof(f45,plain,
multiply(sk_c6,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f720,plain,
( ! [X11] : multiply(sk_c5,multiply(sk_c6,X11)) = multiply(sk_c7,X11)
| ~ spl11_15 ),
inference(forward_demodulation,[],[f182,f150]) ).
fof(f150,plain,
( sk_c7 = sF3
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl11_15
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f182,plain,
! [X11] : multiply(sk_c5,multiply(sk_c6,X11)) = multiply(sF3,X11),
inference(superposition,[],[f3,f42]) ).
fof(f42,plain,
multiply(sk_c5,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f420,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl11_5 ),
inference(backward_demodulation,[],[f197,f100]) ).
fof(f100,plain,
( sk_c6 = sF10
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl11_5
<=> sk_c6 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f197,plain,
! [X0] : multiply(sF10,multiply(sk_c5,X0)) = X0,
inference(forward_demodulation,[],[f196,f1]) ).
fof(f196,plain,
! [X0] : multiply(identity,X0) = multiply(sF10,multiply(sk_c5,X0)),
inference(superposition,[],[f3,f174]) ).
fof(f174,plain,
identity = multiply(sF10,sk_c5),
inference(superposition,[],[f2,f59]) ).
fof(f59,plain,
inverse(sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f727,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl11_5
| ~ spl11_15 ),
inference(forward_demodulation,[],[f639,f100]) ).
fof(f639,plain,
( sk_c6 = multiply(sF10,sk_c7)
| ~ spl11_15 ),
inference(backward_demodulation,[],[f293,f150]) ).
fof(f293,plain,
sk_c6 = multiply(sF10,sF3),
inference(forward_demodulation,[],[f216,f59]) ).
fof(f216,plain,
sk_c6 = multiply(inverse(sk_c5),sF3),
inference(superposition,[],[f187,f42]) ).
fof(f722,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f217,f82]) ).
fof(f217,plain,
sk_c8 = multiply(inverse(sk_c6),sF5),
inference(superposition,[],[f187,f45]) ).
fof(f1047,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(trivial_inequality_removal,[],[f1042]) ).
fof(f1042,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(superposition,[],[f1041,f1]) ).
fof(f1041,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f1040,f918]) ).
fof(f1040,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f1039,f918]) ).
fof(f1039,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f109,f969]) ).
fof(f969,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f959,f963]) ).
fof(f959,plain,
( sk_c7 = inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f641,f918]) ).
fof(f109,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl11_7
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f1038,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1037,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f1032,f963]) ).
fof(f1032,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(trivial_inequality_removal,[],[f1027]) ).
fof(f1027,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(superposition,[],[f1011,f1]) ).
fof(f1011,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f1010,f969]) ).
fof(f1010,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1009,f918]) ).
fof(f1009,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,identity) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f116,f918]) ).
fof(f979,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f978,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f977,f1]) ).
fof(f977,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f878,f918]) ).
fof(f878,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f856,f349]) ).
fof(f856,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c4)
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f119,f719]) ).
fof(f719,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl11_12 ),
inference(forward_demodulation,[],[f40,f127]) ).
fof(f119,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl11_10
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f938,plain,
( spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f936,f724]) ).
fof(f724,plain,
( sk_c8 != sk_c7
| spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f85,f723]) ).
fof(f723,plain,
( sk_c8 = sF6
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f47,f228]) ).
fof(f228,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl11_4
| ~ spl11_6 ),
inference(forward_demodulation,[],[f218,f168]) ).
fof(f168,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f53,f96]) ).
fof(f85,plain,
( sk_c7 != sF6
| spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f936,plain,
( sk_c8 = sk_c7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f928,f1]) ).
fof(f928,plain,
( sk_c7 = multiply(identity,sk_c8)
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f719,f905]) ).
fof(f905,plain,
( identity = sk_c4
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f642,f896]) ).
fof(f932,plain,
( ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| spl11_22 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f931,plain,
( $false
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14
| spl11_22 ),
inference(subsumption_resolution,[],[f927,f861]) ).
fof(f927,plain,
( sk_c8 = inverse(identity)
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f349,f905]) ).
fof(f866,plain,
( ~ spl11_22
| ~ spl11_23
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f853,f118,f863,f859]) ).
fof(f853,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl11_10 ),
inference(superposition,[],[f119,f1]) ).
fof(f850,plain,
( ~ spl11_20
| ~ spl11_21
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f834,f121,f847,f843]) ).
fof(f121,plain,
( spl11_11
<=> ! [X7] :
( sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(inverse(X7),sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f834,plain,
( sk_c7 != multiply(sk_c1,sF0)
| sk_c7 != multiply(sF0,sk_c8)
| ~ spl11_11 ),
inference(superposition,[],[f122,f37]) ).
fof(f122,plain,
( ! [X7] :
( sk_c7 != multiply(inverse(X7),sk_c8)
| sk_c7 != multiply(X7,inverse(X7)) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f841,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_11
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f840,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_11
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f839,f640]) ).
fof(f640,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl11_15 ),
inference(forward_demodulation,[],[f42,f150]) ).
fof(f839,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f837,f740]) ).
fof(f740,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f45,f82]) ).
fof(f837,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl11_5
| ~ spl11_11 ),
inference(superposition,[],[f122,f422]) ).
fof(f422,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f59,f100]) ).
fof(f539,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f533,f395]) ).
fof(f395,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f388,f394]) ).
fof(f394,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f393,f1]) ).
fof(f393,plain,
( sk_c2 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f226,f369]) ).
fof(f369,plain,
( identity = sF1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f351,f354]) ).
fof(f354,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f345,f353]) ).
fof(f353,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8 ),
inference(backward_demodulation,[],[f172,f351]) ).
fof(f345,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f344,f139]) ).
fof(f344,plain,
( sk_c8 = multiply(sF8,sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f223,f343]) ).
fof(f343,plain,
( sk_c8 = sF2
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_12 ),
inference(backward_demodulation,[],[f127,f229]) ).
fof(f229,plain,
( sk_c8 = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f167,f228]) ).
fof(f167,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f47,f86]) ).
fof(f223,plain,
sk_c8 = multiply(sF8,sF2),
inference(forward_demodulation,[],[f215,f51]) ).
fof(f215,plain,
sk_c8 = multiply(inverse(sk_c4),sF2),
inference(superposition,[],[f187,f40]) ).
fof(f351,plain,
( sk_c8 = sF1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f112,f229]) ).
fof(f226,plain,
( sk_c2 = multiply(sF1,identity)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f214,f38]) ).
fof(f214,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl11_4 ),
inference(superposition,[],[f187,f175]) ).
fof(f175,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl11_4 ),
inference(superposition,[],[f2,f168]) ).
fof(f388,plain,
( identity = inverse(sk_c2)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f168,f354]) ).
fof(f533,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f529]) ).
fof(f529,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f502,f1]) ).
fof(f502,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f501,f359]) ).
fof(f359,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f229,f354]) ).
fof(f501,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f500,f354]) ).
fof(f500,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f116,f354]) ).
fof(f498,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f496,f395]) ).
fof(f496,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f495,f395]) ).
fof(f495,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f489,f1]) ).
fof(f489,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f486,f2]) ).
fof(f486,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f485,f359]) ).
fof(f485,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(identity,multiply(X5,identity)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f484,f354]) ).
fof(f484,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f119,f354]) ).
fof(f482,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f480,f1]) ).
fof(f480,plain,
( identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f476,f395]) ).
fof(f476,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f475]) ).
fof(f475,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f472,f2]) ).
fof(f472,plain,
( ! [X7] :
( identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f471,f359]) ).
fof(f471,plain,
( ! [X7] :
( sk_c7 != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f470,f359]) ).
fof(f470,plain,
( ! [X7] :
( sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(inverse(X7),identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f122,f354]) ).
fof(f469,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f462,f395]) ).
fof(f462,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f458]) ).
fof(f458,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(superposition,[],[f379,f1]) ).
fof(f379,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f368,f354]) ).
fof(f368,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f350,f354]) ).
fof(f350,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_demodulation,[],[f109,f229]) ).
fof(f342,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f340,f283]) ).
fof(f283,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f261,f257]) ).
fof(f257,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f239,f252]) ).
fof(f252,plain,
( ! [X8] : multiply(sk_c8,X8) = X8
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f233,f247]) ).
fof(f247,plain,
( ! [X13] : multiply(sk_c1,multiply(sk_c8,X13)) = X13
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f243,f246]) ).
fof(f246,plain,
( sk_c1 = sk_c2
| ~ spl11_4
| ~ spl11_13 ),
inference(backward_demodulation,[],[f226,f245]) ).
fof(f245,plain,
( sk_c1 = multiply(sF1,identity)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f212,f38]) ).
fof(f212,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl11_13 ),
inference(superposition,[],[f187,f171]) ).
fof(f171,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl11_13 ),
inference(superposition,[],[f2,f169]) ).
fof(f169,plain,
( inverse(sk_c1) = sk_c8
| ~ spl11_13 ),
inference(backward_demodulation,[],[f37,f132]) ).
fof(f243,plain,
( ! [X13] : multiply(sk_c2,multiply(sk_c8,X13)) = X13
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(forward_demodulation,[],[f240,f1]) ).
fof(f240,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c2,multiply(sk_c8,X13))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f184,f237]) ).
fof(f237,plain,
( identity = sk_c3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(forward_demodulation,[],[f236,f172]) ).
fof(f236,plain,
( sk_c3 = multiply(sF1,sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f225,f229]) ).
fof(f225,plain,
( sk_c3 = multiply(sF1,sk_c7)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f213,f38]) ).
fof(f213,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_2 ),
inference(superposition,[],[f187,f167]) ).
fof(f184,plain,
( ! [X13] : multiply(sk_c3,X13) = multiply(sk_c2,multiply(sk_c8,X13))
| ~ spl11_6 ),
inference(superposition,[],[f3,f170]) ).
fof(f233,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c8,X8)) = multiply(sk_c8,X8)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f179,f229]) ).
fof(f179,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(sk_c1,multiply(sk_c7,X8))
| ~ spl11_3 ),
inference(superposition,[],[f3,f166]) ).
fof(f166,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f43,f91]) ).
fof(f239,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(backward_demodulation,[],[f228,f237]) ).
fof(f261,plain,
( sk_c8 = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f169,f259]) ).
fof(f259,plain,
( identity = sk_c1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f245,f254]) ).
fof(f254,plain,
( ! [X0] : multiply(sF1,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f193,f252]) ).
fof(f340,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(forward_demodulation,[],[f318,f283]) ).
fof(f318,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f315]) ).
fof(f315,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(superposition,[],[f302,f2]) ).
fof(f302,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(forward_demodulation,[],[f301,f257]) ).
fof(f301,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(forward_demodulation,[],[f300,f257]) ).
fof(f300,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(forward_demodulation,[],[f109,f278]) ).
fof(f278,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f229,f257]) ).
fof(f286,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| spl11_8
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| spl11_8
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f284,f280]) ).
fof(f280,plain,
( identity != sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| spl11_8
| ~ spl11_13 ),
inference(backward_demodulation,[],[f231,f257]) ).
fof(f231,plain,
( sk_c8 != sF1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| spl11_8 ),
inference(backward_demodulation,[],[f113,f229]) ).
fof(f113,plain,
( sk_c7 != sF1
| spl11_8 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f284,plain,
( identity = sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(forward_demodulation,[],[f268,f283]) ).
fof(f268,plain,
( inverse(identity) = sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_13 ),
inference(backward_demodulation,[],[f38,f257]) ).
fof(f165,plain,
( spl11_6
| spl11_5 ),
inference(avatar_split_clause,[],[f60,f98,f103]) ).
fof(f60,plain,
( sk_c6 = sF10
| sk_c3 = sF7 ),
inference(definition_folding,[],[f26,f49,f59]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f164,plain,
( spl11_15
| spl11_6 ),
inference(avatar_split_clause,[],[f69,f103,f148]) ).
fof(f69,plain,
( sk_c3 = sF7
| sk_c7 = sF3 ),
inference(definition_folding,[],[f25,f42,f49]) ).
fof(f25,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f163,plain,
( spl11_14
| spl11_13 ),
inference(avatar_split_clause,[],[f72,f130,f137]) ).
fof(f72,plain,
( sk_c8 = sF0
| sk_c8 = sF8 ),
inference(definition_folding,[],[f6,f37,f51]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f161,plain,
( spl11_6
| spl11_12 ),
inference(avatar_split_clause,[],[f74,f125,f103]) ).
fof(f74,plain,
( sk_c7 = sF2
| sk_c3 = sF7 ),
inference(definition_folding,[],[f23,f49,f40]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f160,plain,
( spl11_1
| spl11_13 ),
inference(avatar_split_clause,[],[f46,f130,f80]) ).
fof(f46,plain,
( sk_c8 = sF0
| sk_c7 = sF5 ),
inference(definition_folding,[],[f9,f37,f45]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f158,plain,
( spl11_2
| spl11_14 ),
inference(avatar_split_clause,[],[f52,f137,f84]) ).
fof(f52,plain,
( sk_c8 = sF8
| sk_c7 = sF6 ),
inference(definition_folding,[],[f18,f47,f51]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f157,plain,
( spl11_14
| spl11_4 ),
inference(avatar_split_clause,[],[f63,f94,f137]) ).
fof(f63,plain,
( sk_c8 = sF9
| sk_c8 = sF8 ),
inference(definition_folding,[],[f30,f51,f53]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f156,plain,
( spl11_15
| spl11_4 ),
inference(avatar_split_clause,[],[f58,f94,f148]) ).
fof(f58,plain,
( sk_c8 = sF9
| sk_c7 = sF3 ),
inference(definition_folding,[],[f31,f42,f53]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f155,plain,
( spl11_2
| spl11_8 ),
inference(avatar_split_clause,[],[f67,f111,f84]) ).
fof(f67,plain,
( sk_c7 = sF1
| sk_c7 = sF6 ),
inference(definition_folding,[],[f16,f47,f38]) ).
fof(f16,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f154,plain,
( spl11_4
| spl11_8 ),
inference(avatar_split_clause,[],[f55,f111,f94]) ).
fof(f55,plain,
( sk_c7 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f28,f53,f38]) ).
fof(f28,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f153,plain,
( spl11_13
| spl11_5 ),
inference(avatar_split_clause,[],[f78,f98,f130]) ).
fof(f78,plain,
( sk_c6 = sF10
| sk_c8 = sF0 ),
inference(definition_folding,[],[f8,f37,f59]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c5)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f152,plain,
( spl11_15
| spl11_13 ),
inference(avatar_split_clause,[],[f62,f130,f148]) ).
fof(f62,plain,
( sk_c8 = sF0
| sk_c7 = sF3 ),
inference(definition_folding,[],[f7,f42,f37]) ).
fof(f7,axiom,
( inverse(sk_c1) = sk_c8
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f145,plain,
( spl11_3
| spl11_12 ),
inference(avatar_split_clause,[],[f64,f125,f89]) ).
fof(f64,plain,
( sk_c7 = sF2
| sk_c8 = sF4 ),
inference(definition_folding,[],[f11,f40,f43]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f144,plain,
( spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f50,f103,f111]) ).
fof(f50,plain,
( sk_c3 = sF7
| sk_c7 = sF1 ),
inference(definition_folding,[],[f22,f38,f49]) ).
fof(f22,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f143,plain,
( spl11_14
| spl11_3 ),
inference(avatar_split_clause,[],[f57,f89,f137]) ).
fof(f57,plain,
( sk_c8 = sF4
| sk_c8 = sF8 ),
inference(definition_folding,[],[f12,f43,f51]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f142,plain,
( spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f68,f89,f111]) ).
fof(f68,plain,
( sk_c8 = sF4
| sk_c7 = sF1 ),
inference(definition_folding,[],[f10,f38,f43]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f141,plain,
( spl11_2
| spl11_12 ),
inference(avatar_split_clause,[],[f48,f125,f84]) ).
fof(f48,plain,
( sk_c7 = sF2
| sk_c7 = sF6 ),
inference(definition_folding,[],[f17,f40,f47]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f140,plain,
( spl11_14
| spl11_6 ),
inference(avatar_split_clause,[],[f73,f103,f137]) ).
fof(f73,plain,
( sk_c3 = sF7
| sk_c8 = sF8 ),
inference(definition_folding,[],[f24,f49,f51]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f135,plain,
( spl11_4
| spl11_1 ),
inference(avatar_split_clause,[],[f76,f80,f94]) ).
fof(f76,plain,
( sk_c7 = sF5
| sk_c8 = sF9 ),
inference(definition_folding,[],[f33,f53,f45]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f134,plain,
( spl11_12
| spl11_13 ),
inference(avatar_split_clause,[],[f41,f130,f125]) ).
fof(f41,plain,
( sk_c8 = sF0
| sk_c7 = sF2 ),
inference(definition_folding,[],[f5,f37,f40]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f133,plain,
( spl11_13
| spl11_8 ),
inference(avatar_split_clause,[],[f39,f111,f130]) ).
fof(f39,plain,
( sk_c7 = sF1
| sk_c8 = sF0 ),
inference(definition_folding,[],[f4,f38,f37]) ).
fof(f4,axiom,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f128,plain,
( spl11_12
| spl11_4 ),
inference(avatar_split_clause,[],[f54,f94,f125]) ).
fof(f54,plain,
( sk_c8 = sF9
| sk_c7 = sF2 ),
inference(definition_folding,[],[f29,f40,f53]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f123,plain,
( spl11_7
| ~ spl11_8
| spl11_9
| spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f77,f121,f118,f115,f111,f108]) ).
fof(f77,plain,
! [X3,X6,X7,X5] :
( sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != multiply(inverse(X7),sk_c8)
| sk_c7 != sF1
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X3,sk_c7) ),
inference(definition_folding,[],[f36,f38]) ).
fof(f36,plain,
! [X3,X6,X7,X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X7),sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,inverse(X7)) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(sk_c8,X4)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X7),sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X6)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(X7,inverse(X7)) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(sk_c8,X4)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X6,sk_c8)
| inverse(X7) != X8
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X8,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X6)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f106,plain,
( spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f61,f103,f80]) ).
fof(f61,plain,
( sk_c3 = sF7
| sk_c7 = sF5 ),
inference(definition_folding,[],[f27,f45,f49]) ).
fof(f27,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f101,plain,
( spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f71,f98,f94]) ).
fof(f71,plain,
( sk_c6 = sF10
| sk_c8 = sF9 ),
inference(definition_folding,[],[f32,f59,f53]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GRP227-1 : TPTP v8.1.0. Released v2.5.0.
% 0.02/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Aug 29 21:45:34 EDT 2022
% 0.11/0.26 % CPUTime :
% 0.11/0.42 % (20169)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)
% 0.11/0.43 % (20169)Refutation not found, incomplete strategy% (20169)------------------------------
% 0.11/0.43 % (20169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.43 % (20193)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)
% 0.11/0.45 % (20181)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)
% 0.11/0.45 % (20169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.45 % (20169)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.45
% 0.11/0.45 % (20169)Memory used [KB]: 5884
% 0.11/0.45 % (20169)Time elapsed: 0.096 s
% 0.11/0.45 % (20169)Instructions burned: 4 (million)
% 0.11/0.45 % (20169)------------------------------
% 0.11/0.45 % (20169)------------------------------
% 0.11/0.46 % (20171)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.11/0.46 % (20170)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)
% 0.11/0.46 % (20175)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)
% 0.11/0.46 % (20176)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)
% 0.11/0.46 % (20174)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)
% 0.11/0.46 % (20174)Instruction limit reached!
% 0.11/0.46 % (20174)------------------------------
% 0.11/0.46 % (20174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.46 % (20174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.46 % (20174)Termination reason: Unknown
% 0.11/0.46 % (20174)Termination phase: Saturation
% 0.11/0.46
% 0.11/0.46 % (20174)Memory used [KB]: 5884
% 0.11/0.46 % (20174)Time elapsed: 0.003 s
% 0.11/0.46 % (20174)Instructions burned: 3 (million)
% 0.11/0.46 % (20174)------------------------------
% 0.11/0.46 % (20174)------------------------------
% 0.11/0.46 % (20185)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)
% 0.11/0.46 % (20177)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)
% 0.11/0.46 % (20173)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)
% 0.11/0.47 % (20172)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)
% 0.11/0.47 % (20173)Refutation not found, incomplete strategy% (20173)------------------------------
% 0.11/0.47 % (20173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47 % (20181)Instruction limit reached!
% 0.11/0.47 % (20181)------------------------------
% 0.11/0.47 % (20181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47 % (20181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47 % (20181)Termination reason: Unknown
% 0.11/0.47 % (20181)Termination phase: Finite model building preprocessing
% 0.11/0.47
% 0.11/0.47 % (20181)Memory used [KB]: 6012
% 0.11/0.47 % (20181)Time elapsed: 0.011 s
% 0.11/0.47 % (20181)Instructions burned: 7 (million)
% 0.11/0.47 % (20181)------------------------------
% 0.11/0.47 % (20181)------------------------------
% 0.11/0.47 % (20173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47 % (20173)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.47
% 0.11/0.47 % (20173)Memory used [KB]: 5884
% 0.11/0.47 % (20173)Time elapsed: 0.083 s
% 0.11/0.47 % (20173)Instructions burned: 4 (million)
% 0.11/0.47 % (20173)------------------------------
% 0.11/0.47 % (20173)------------------------------
% 0.11/0.48 % (20185)Refutation not found, incomplete strategy% (20185)------------------------------
% 0.11/0.48 % (20185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.48 % (20185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.48 % (20185)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.48
% 0.11/0.48 % (20185)Memory used [KB]: 6012
% 0.11/0.48 % (20185)Time elapsed: 0.132 s
% 0.11/0.48 % (20185)Instructions burned: 6 (million)
% 0.11/0.48 % (20185)------------------------------
% 0.11/0.48 % (20185)------------------------------
% 0.11/0.48 % (20168)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)
% 0.11/0.48 % (20167)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)
% 0.11/0.48 % (20168)Instruction limit reached!
% 0.11/0.48 % (20168)------------------------------
% 0.11/0.48 % (20168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.48 % (20168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.48 % (20168)Termination reason: Unknown
% 0.11/0.48 % (20168)Termination phase: Saturation
% 0.11/0.48
% 0.11/0.48 % (20168)Memory used [KB]: 5884
% 0.11/0.48 % (20168)Time elapsed: 0.004 s
% 0.11/0.48 % (20168)Instructions burned: 4 (million)
% 0.11/0.48 % (20168)------------------------------
% 0.11/0.48 % (20168)------------------------------
% 0.11/0.48 % (20176)Instruction limit reached!
% 0.11/0.48 % (20176)------------------------------
% 0.11/0.48 % (20176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.48 % (20166)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.11/0.49 % (20176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.49 % (20176)Termination reason: Unknown
% 0.11/0.49 % (20176)Termination phase: Saturation
% 0.11/0.49
% 0.11/0.49 % (20176)Memory used [KB]: 5884
% 0.11/0.49 % (20176)Time elapsed: 0.130 s
% 0.11/0.49 % (20176)Instructions burned: 6 (million)
% 0.11/0.49 % (20176)------------------------------
% 0.11/0.49 % (20176)------------------------------
% 0.11/0.49 % (20187)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)
% 0.11/0.50 % (20186)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)
% 0.11/0.50 % (20188)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)
% 0.11/0.50 % (20177)Instruction limit reached!
% 0.11/0.50 % (20177)------------------------------
% 0.11/0.50 % (20177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.50 % (20177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.50 % (20177)Termination reason: Unknown
% 0.11/0.50 % (20177)Termination phase: Saturation
% 0.11/0.50
% 0.11/0.50 % (20177)Memory used [KB]: 6140
% 0.11/0.50 % (20177)Time elapsed: 0.153 s
% 0.11/0.50 % (20177)Instructions burned: 23 (million)
% 0.11/0.50 % (20177)------------------------------
% 0.11/0.50 % (20177)------------------------------
% 0.11/0.51 % (20179)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)
% 0.11/0.51 % (20190)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)
% 0.11/0.52 % (20192)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)
% 0.11/0.52 % (20194)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)
% 0.11/0.52 % (20191)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)
% 0.11/0.52 % (20182)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)
% 0.11/0.52 % (20182)Instruction limit reached!
% 0.11/0.52 % (20182)------------------------------
% 0.11/0.52 % (20182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.52 % (20182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.52 % (20182)Termination reason: Unknown
% 0.11/0.52 % (20182)Termination phase: Equality proxy
% 0.11/0.52
% 0.11/0.52 % (20182)Memory used [KB]: 1279
% 0.11/0.52 % (20182)Time elapsed: 0.003 s
% 0.11/0.52 % (20182)Instructions burned: 2 (million)
% 0.11/0.52 % (20182)------------------------------
% 0.11/0.52 % (20182)------------------------------
% 0.11/0.52 % (20194)Refutation not found, incomplete strategy% (20194)------------------------------
% 0.11/0.52 % (20194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.52 % (20194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.52 % (20194)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.52
% 0.11/0.52 % (20194)Memory used [KB]: 5884
% 0.11/0.52 % (20194)Time elapsed: 0.182 s
% 0.11/0.52 % (20194)Instructions burned: 4 (million)
% 0.11/0.52 % (20194)------------------------------
% 0.11/0.52 % (20194)------------------------------
% 0.11/0.52 % (20189)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)
% 0.11/0.52 % (20186)Instruction limit reached!
% 0.11/0.52 % (20186)------------------------------
% 0.11/0.52 % (20186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.52 % (20186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.52 % (20186)Termination reason: Unknown
% 0.11/0.52 % (20186)Termination phase: Saturation
% 0.11/0.52
% 0.11/0.52 % (20186)Memory used [KB]: 1407
% 0.11/0.52 % (20186)Time elapsed: 0.166 s
% 0.11/0.52 % (20186)Instructions burned: 7 (million)
% 0.11/0.52 % (20186)------------------------------
% 0.11/0.52 % (20186)------------------------------
% 0.11/0.52 % (20184)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)
% 0.11/0.52 % (20178)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)
% 0.11/0.53 % (20183)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.11/0.53 % (20178)Instruction limit reached!
% 0.11/0.53 % (20178)------------------------------
% 0.11/0.53 % (20178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.53 % (20178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.53 % (20178)Termination reason: Unknown
% 0.11/0.53 % (20178)Termination phase: Saturation
% 0.11/0.53
% 0.11/0.53 % (20178)Memory used [KB]: 5884
% 0.11/0.53 % (20178)Time elapsed: 0.193 s
% 0.11/0.53 % (20178)Instructions burned: 5 (million)
% 0.11/0.53 % (20178)------------------------------
% 0.11/0.53 % (20178)------------------------------
% 0.11/0.53 % (20195)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)
% 0.11/0.53 % (20179)Instruction limit reached!
% 0.11/0.53 % (20179)------------------------------
% 0.11/0.53 % (20179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.53 % (20179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.53 % (20179)Termination reason: Unknown
% 0.11/0.53 % (20179)Termination phase: Saturation
% 0.11/0.53
% 0.11/0.53 % (20179)Memory used [KB]: 5884
% 0.11/0.53 % (20179)Time elapsed: 0.005 s
% 0.11/0.53 % (20179)Instructions burned: 4 (million)
% 0.11/0.53 % (20179)------------------------------
% 0.11/0.53 % (20179)------------------------------
% 0.11/0.53 % (20180)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)
% 0.11/0.53 % (20170)Instruction limit reached!
% 0.11/0.53 % (20170)------------------------------
% 0.11/0.53 % (20170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.53 % (20170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.53 % (20170)Termination reason: Unknown
% 0.11/0.53 % (20170)Termination phase: Saturation
% 0.11/0.53
% 0.11/0.53 % (20170)Memory used [KB]: 6524
% 0.11/0.53 % (20170)Time elapsed: 0.204 s
% 0.11/0.53 % (20170)Instructions burned: 35 (million)
% 0.11/0.53 % (20170)------------------------------
% 0.11/0.53 % (20170)------------------------------
% 0.11/0.53 % (20171)Instruction limit reached!
% 0.11/0.53 % (20171)------------------------------
% 0.11/0.53 % (20171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.53 % (20192)Refutation not found, incomplete strategy% (20192)------------------------------
% 0.11/0.53 % (20192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.54 % (20171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.54 % (20171)Termination reason: Unknown
% 0.11/0.54 % (20171)Termination phase: Saturation
% 0.11/0.54
% 0.11/0.54 % (20171)Memory used [KB]: 6140
% 0.11/0.54 % (20171)Time elapsed: 0.200 s
% 0.11/0.54 % (20171)Instructions burned: 26 (million)
% 0.11/0.54 % (20171)------------------------------
% 0.11/0.54 % (20171)------------------------------
% 0.11/0.54 % (20192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.54 % (20192)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.54
% 0.11/0.54 % (20192)Memory used [KB]: 5884
% 0.11/0.54 % (20192)Time elapsed: 0.206 s
% 0.11/0.54 % (20192)Instructions burned: 3 (million)
% 0.11/0.54 % (20192)------------------------------
% 0.11/0.54 % (20192)------------------------------
% 0.11/0.54 % (20189)Refutation not found, incomplete strategy% (20189)------------------------------
% 0.11/0.54 % (20189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.54 % (20189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.54 % (20189)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.54
% 0.11/0.54 % (20189)Memory used [KB]: 5884
% 0.11/0.54 % (20189)Time elapsed: 0.185 s
% 0.11/0.54 % (20189)Instructions burned: 4 (million)
% 0.11/0.54 % (20189)------------------------------
% 0.11/0.54 % (20189)------------------------------
% 0.11/0.55 % (20188)Refutation not found, incomplete strategy% (20188)------------------------------
% 0.11/0.55 % (20188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.55 % (20183)Instruction limit reached!
% 0.11/0.55 % (20183)------------------------------
% 0.11/0.55 % (20183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.55 % (20183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.55 % (20183)Termination reason: Unknown
% 0.11/0.55 % (20183)Termination phase: Saturation
% 0.11/0.55
% 0.11/0.55 % (20183)Memory used [KB]: 6012
% 0.11/0.55 % (20183)Time elapsed: 0.221 s
% 0.11/0.55 % (20183)Instructions burned: 8 (million)
% 0.11/0.55 % (20183)------------------------------
% 0.11/0.55 % (20183)------------------------------
% 0.11/0.55 % (20188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.55 % (20188)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.55
% 0.11/0.55 % (20188)Memory used [KB]: 6012
% 0.11/0.55 % (20188)Time elapsed: 0.216 s
% 0.11/0.55 % (20188)Instructions burned: 16 (million)
% 0.11/0.55 % (20188)------------------------------
% 0.11/0.55 % (20188)------------------------------
% 0.11/0.56 % (20172)Instruction limit reached!
% 0.11/0.56 % (20172)------------------------------
% 0.11/0.56 % (20172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.56 % (20172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.56 % (20172)Termination reason: Unknown
% 0.11/0.56 % (20172)Termination phase: Saturation
% 0.11/0.56
% 0.11/0.56 % (20172)Memory used [KB]: 1535
% 0.11/0.56 % (20172)Time elapsed: 0.211 s
% 0.11/0.56 % (20172)Instructions burned: 49 (million)
% 0.11/0.56 % (20172)------------------------------
% 0.11/0.56 % (20172)------------------------------
% 0.11/0.56 % (20193)Instruction limit reached!
% 0.11/0.56 % (20193)------------------------------
% 0.11/0.56 % (20193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.58 % (20180)Instruction limit reached!
% 2.32/0.58 % (20180)------------------------------
% 2.32/0.58 % (20180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.58 % (20180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.58 % (20180)Termination reason: Unknown
% 2.32/0.58 % (20180)Termination phase: Saturation
% 2.32/0.58
% 2.32/0.58 % (20180)Memory used [KB]: 1663
% 2.32/0.58 % (20180)Time elapsed: 0.241 s
% 2.32/0.58 % (20180)Instructions burned: 29 (million)
% 2.32/0.58 % (20180)------------------------------
% 2.32/0.58 % (20180)------------------------------
% 2.32/0.58 % (20193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.58 % (20193)Termination reason: Unknown
% 2.32/0.58 % (20193)Termination phase: Saturation
% 2.32/0.58
% 2.32/0.58 % (20193)Memory used [KB]: 1918
% 2.32/0.58 % (20193)Time elapsed: 0.171 s
% 2.32/0.58 % (20193)Instructions burned: 74 (million)
% 2.32/0.58 % (20193)------------------------------
% 2.32/0.58 % (20193)------------------------------
% 2.32/0.58 % (20175)Instruction limit reached!
% 2.32/0.58 % (20175)------------------------------
% 2.32/0.58 % (20175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.58 % (20184)Refutation not found, incomplete strategy% (20184)------------------------------
% 2.32/0.58 % (20184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.58 % (20184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.58 % (20184)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.58
% 2.32/0.58 % (20184)Memory used [KB]: 10618
% 2.32/0.58 % (20184)Time elapsed: 0.231 s
% 2.32/0.58 % (20184)Instructions burned: 19 (million)
% 2.32/0.58 % (20184)------------------------------
% 2.32/0.58 % (20184)------------------------------
% 2.32/0.58 % (20175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.58 % (20175)Termination reason: Unknown
% 2.32/0.58 % (20175)Termination phase: Saturation
% 2.32/0.58
% 2.32/0.58 % (20175)Memory used [KB]: 6652
% 2.32/0.58 % (20175)Time elapsed: 0.254 s
% 2.32/0.58 % (20175)Instructions burned: 51 (million)
% 2.32/0.58 % (20175)------------------------------
% 2.32/0.58 % (20175)------------------------------
% 2.47/0.58 % (20190)Instruction limit reached!
% 2.47/0.58 % (20190)------------------------------
% 2.47/0.58 % (20190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.59 % (20167)Instruction limit reached!
% 2.47/0.59 % (20167)------------------------------
% 2.47/0.59 % (20167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.59 % (20167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.59 % (20167)Termination reason: Unknown
% 2.47/0.59 % (20167)Termination phase: Saturation
% 2.47/0.59
% 2.47/0.59 % (20167)Memory used [KB]: 1663
% 2.47/0.59 % (20167)Time elapsed: 0.216 s
% 2.47/0.59 % (20167)Instructions burned: 43 (million)
% 2.47/0.59 % (20167)------------------------------
% 2.47/0.59 % (20167)------------------------------
% 2.47/0.59 % (20166)First to succeed.
% 2.47/0.59 % (20228)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 2.47/0.59 % (20190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.59 % (20190)Termination reason: Unknown
% 2.47/0.59 % (20190)Termination phase: Saturation
% 2.47/0.59
% 2.47/0.59 % (20190)Memory used [KB]: 6780
% 2.47/0.59 % (20190)Time elapsed: 0.251 s
% 2.47/0.59 % (20190)Instructions burned: 47 (million)
% 2.47/0.59 % (20190)------------------------------
% 2.47/0.59 % (20190)------------------------------
% 2.47/0.60 % (20228)Instruction limit reached!
% 2.47/0.60 % (20228)------------------------------
% 2.47/0.60 % (20228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.60 % (20228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.60 % (20228)Termination reason: Unknown
% 2.47/0.60 % (20228)Termination phase: Saturation
% 2.47/0.60
% 2.47/0.60 % (20228)Memory used [KB]: 6140
% 2.47/0.60 % (20228)Time elapsed: 0.049 s
% 2.47/0.60 % (20228)Instructions burned: 15 (million)
% 2.47/0.60 % (20228)------------------------------
% 2.47/0.60 % (20228)------------------------------
% 2.47/0.60 % (20166)Refutation found. Thanks to Tanya!
% 2.47/0.60 % SZS status Unsatisfiable for theBenchmark
% 2.47/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.60 % (20166)------------------------------
% 2.47/0.60 % (20166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.60 % (20166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.60 % (20166)Termination reason: Refutation
% 2.47/0.60
% 2.47/0.60 % (20166)Memory used [KB]: 6524
% 2.47/0.60 % (20166)Time elapsed: 0.260 s
% 2.47/0.60 % (20166)Instructions burned: 56 (million)
% 2.47/0.60 % (20166)------------------------------
% 2.47/0.60 % (20166)------------------------------
% 2.47/0.60 % (20165)Success in time 0.313 s
%------------------------------------------------------------------------------