TSTP Solution File: GRP255-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP255-1 : 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 : n024.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 16:15:03 EDT 2022
% Result : Unsatisfiable 2.07s 0.65s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 63
% Syntax : Number of formulae : 391 ( 35 unt; 0 def)
% Number of atoms : 1283 ( 432 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1738 ( 846 ~; 870 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1819,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f103,f108,f113,f118,f119,f124,f125,f126,f127,f128,f129,f134,f136,f138,f139,f140,f141,f142,f143,f159,f161,f162,f163,f164,f165,f166,f204,f222,f336,f337,f442,f456,f477,f526,f617,f635,f705,f836,f851,f881,f906,f930,f1027,f1052,f1070,f1418,f1491,f1674,f1676,f1696,f1796,f1806]) ).
fof(f1806,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_18
| spl11_24 ),
inference(avatar_contradiction_clause,[],[f1805]) ).
fof(f1805,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_18
| spl11_24 ),
inference(subsumption_resolution,[],[f1804,f1740]) ).
fof(f1740,plain,
( identity != sk_c8
| ~ spl11_18
| spl11_24 ),
inference(forward_demodulation,[],[f217,f188]) ).
fof(f188,plain,
( identity = sk_c7
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl11_18
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f217,plain,
( sk_c8 != sk_c7
| spl11_24 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl11_24
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
fof(f1804,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1803,f1769]) ).
fof(f1769,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1766,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1766,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_18 ),
inference(backward_demodulation,[],[f1712,f1761]) ).
fof(f1761,plain,
( identity = sF8
| ~ spl11_1
| ~ spl11_18 ),
inference(forward_demodulation,[],[f80,f188]) ).
fof(f80,plain,
( sk_c7 = sF8
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl11_1
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f1712,plain,
( sk_c6 = multiply(inverse(sF8),identity)
| ~ spl11_4
| ~ spl11_18 ),
inference(backward_demodulation,[],[f275,f1709]) ).
fof(f1709,plain,
( sk_c6 = sk_c2
| ~ spl11_4
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1708,f93]) ).
fof(f93,plain,
( sk_c6 = sF2
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl11_4
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f1708,plain,
( sk_c2 = sF2
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1707,f275]) ).
fof(f1707,plain,
( sF2 = multiply(inverse(sF8),identity)
| ~ spl11_18 ),
inference(forward_demodulation,[],[f296,f188]) ).
fof(f296,plain,
sF2 = multiply(inverse(sF8),sk_c7),
inference(superposition,[],[f236,f282]) ).
fof(f282,plain,
sk_c7 = multiply(sF8,sF2),
inference(forward_demodulation,[],[f272,f52]) ).
fof(f52,plain,
inverse(sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f272,plain,
sk_c7 = multiply(inverse(sk_c2),sF2),
inference(superposition,[],[f236,f38]) ).
fof(f38,plain,
multiply(sk_c2,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f236,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f225,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f225,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f275,plain,
sk_c2 = multiply(inverse(sF8),identity),
inference(superposition,[],[f236,f175]) ).
fof(f175,plain,
identity = multiply(sF8,sk_c2),
inference(superposition,[],[f2,f52]) ).
fof(f1803,plain,
( sk_c8 = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1768,f1]) ).
fof(f1768,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_18 ),
inference(backward_demodulation,[],[f1758,f1761]) ).
fof(f1758,plain,
( sk_c6 = multiply(sF8,sk_c8)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_18 ),
inference(backward_demodulation,[],[f1739,f133]) ).
fof(f133,plain,
( sk_c6 = sF5
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl11_11
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f1739,plain,
( sF5 = multiply(sF8,sk_c8)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1736,f1710]) ).
fof(f1710,plain,
( inverse(sk_c6) = sF8
| ~ spl11_4
| ~ spl11_18 ),
inference(backward_demodulation,[],[f52,f1709]) ).
fof(f1736,plain,
( sF5 = multiply(inverse(sk_c6),sk_c8)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f294,f112]) ).
fof(f112,plain,
( sk_c6 = sF6
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl11_8
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f294,plain,
sF5 = multiply(inverse(sF6),sk_c8),
inference(superposition,[],[f236,f281]) ).
fof(f281,plain,
sk_c8 = multiply(sF6,sF5),
inference(forward_demodulation,[],[f273,f46]) ).
fof(f46,plain,
inverse(sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f273,plain,
sk_c8 = multiply(inverse(sk_c3),sF5),
inference(superposition,[],[f236,f43]) ).
fof(f43,plain,
multiply(sk_c3,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f1796,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_18
| spl11_23 ),
inference(avatar_contradiction_clause,[],[f1795]) ).
fof(f1795,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_18
| spl11_23 ),
inference(subsumption_resolution,[],[f1773,f1726]) ).
fof(f1726,plain,
( identity != sF5
| ~ spl11_18
| spl11_23 ),
inference(forward_demodulation,[],[f212,f188]) ).
fof(f212,plain,
( sk_c7 != sF5
| spl11_23 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl11_23
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f1773,plain,
( identity = sF5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_18 ),
inference(backward_demodulation,[],[f133,f1769]) ).
fof(f1696,plain,
( ~ spl11_15
| ~ spl11_19
| ~ spl11_24
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1695]) ).
fof(f1695,plain,
( $false
| ~ spl11_15
| ~ spl11_19
| ~ spl11_24
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1694,f220]) ).
fof(f220,plain,
( sk_c8 = inverse(identity)
| ~ spl11_25 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl11_25
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
fof(f1694,plain,
( sk_c8 != inverse(identity)
| ~ spl11_15
| ~ spl11_19
| ~ spl11_24 ),
inference(trivial_inequality_removal,[],[f1685]) ).
fof(f1685,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl11_15
| ~ spl11_19
| ~ spl11_24 ),
inference(superposition,[],[f1679,f1]) ).
fof(f1679,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl11_15
| ~ spl11_19
| ~ spl11_24 ),
inference(forward_demodulation,[],[f1678,f1285]) ).
fof(f1285,plain,
( sk_c8 = sk_c6
| ~ spl11_19
| ~ spl11_24 ),
inference(forward_demodulation,[],[f193,f216]) ).
fof(f216,plain,
( sk_c8 = sk_c7
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f193,plain,
( sk_c7 = sk_c6
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl11_19
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f1678,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl11_15
| ~ spl11_24 ),
inference(forward_demodulation,[],[f1677,f216]) ).
fof(f1677,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_15
| ~ spl11_24 ),
inference(forward_demodulation,[],[f155,f216]) ).
fof(f155,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl11_15
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1676,plain,
( ~ spl11_16
| ~ spl11_24
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1675]) ).
fof(f1675,plain,
( $false
| ~ spl11_16
| ~ spl11_24
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1668,f220]) ).
fof(f1668,plain,
( sk_c8 != inverse(identity)
| ~ spl11_16
| ~ spl11_24 ),
inference(trivial_inequality_removal,[],[f1661]) ).
fof(f1661,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl11_16
| ~ spl11_24 ),
inference(superposition,[],[f1084,f1]) ).
fof(f1084,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl11_16
| ~ spl11_24 ),
inference(forward_demodulation,[],[f158,f216]) ).
fof(f158,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl11_16
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f1674,plain,
( ~ spl11_3
| ~ spl11_7
| ~ spl11_16
| ~ spl11_24 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1673,plain,
( $false
| ~ spl11_3
| ~ spl11_7
| ~ spl11_16
| ~ spl11_24 ),
inference(subsumption_resolution,[],[f1669,f1283]) ).
fof(f1283,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f36,f89]) ).
fof(f89,plain,
( sk_c8 = sF1
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl11_3
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f36,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f1669,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl11_7
| ~ spl11_16
| ~ spl11_24 ),
inference(trivial_inequality_removal,[],[f1665]) ).
fof(f1665,plain,
( sk_c8 != inverse(sk_c4)
| sk_c8 != sk_c8
| ~ spl11_7
| ~ spl11_16
| ~ spl11_24 ),
inference(superposition,[],[f1084,f1088]) ).
fof(f1088,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl11_7
| ~ spl11_24 ),
inference(forward_demodulation,[],[f1087,f216]) ).
fof(f1087,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f39,f107]) ).
fof(f107,plain,
( sk_c8 = sF3
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl11_7
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f39,plain,
multiply(sk_c4,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f1491,plain,
( ~ spl11_1
| spl11_4
| ~ spl11_5
| ~ spl11_24
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1490,plain,
( $false
| ~ spl11_1
| spl11_4
| ~ spl11_5
| ~ spl11_24
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1484,f1190]) ).
fof(f1190,plain,
( identity != sk_c6
| ~ spl11_1
| spl11_4
| ~ spl11_24 ),
inference(forward_demodulation,[],[f92,f1097]) ).
fof(f1097,plain,
( identity = sF2
| ~ spl11_1
| ~ spl11_24 ),
inference(forward_demodulation,[],[f1092,f2]) ).
fof(f1092,plain,
( sF2 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_1
| ~ spl11_24 ),
inference(backward_demodulation,[],[f1083,f1090]) ).
fof(f1090,plain,
( sk_c8 = sF8
| ~ spl11_1
| ~ spl11_24 ),
inference(forward_demodulation,[],[f80,f216]) ).
fof(f1083,plain,
( multiply(inverse(sF8),sk_c8) = sF2
| ~ spl11_24 ),
inference(forward_demodulation,[],[f296,f216]) ).
fof(f92,plain,
( sk_c6 != sF2
| spl11_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f1484,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_5
| ~ spl11_24
| ~ spl11_25 ),
inference(backward_demodulation,[],[f1455,f1459]) ).
fof(f1459,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_24
| ~ spl11_25 ),
inference(backward_demodulation,[],[f1098,f1295]) ).
fof(f1295,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_25 ),
inference(backward_demodulation,[],[f259,f220]) ).
fof(f259,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f236,f1]) ).
fof(f1098,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl11_1
| ~ spl11_24 ),
inference(backward_demodulation,[],[f1095,f1097]) ).
fof(f1095,plain,
( sk_c8 = multiply(sk_c8,sF2)
| ~ spl11_1
| ~ spl11_24 ),
inference(backward_demodulation,[],[f1076,f1090]) ).
fof(f1076,plain,
( sk_c8 = multiply(sF8,sF2)
| ~ spl11_24 ),
inference(forward_demodulation,[],[f282,f216]) ).
fof(f1455,plain,
( sk_c8 = sk_c6
| ~ spl11_5
| ~ spl11_24
| ~ spl11_25 ),
inference(backward_demodulation,[],[f98,f1308]) ).
fof(f1308,plain,
( sk_c8 = sF9
| ~ spl11_24
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1102,f1295]) ).
fof(f1102,plain,
( multiply(sk_c8,sk_c8) = sF9
| ~ spl11_24 ),
inference(forward_demodulation,[],[f54,f216]) ).
fof(f54,plain,
multiply(sk_c7,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f98,plain,
( sk_c6 = sF9
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl11_5
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1418,plain,
( ~ spl11_6
| spl11_18
| ~ spl11_24
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| ~ spl11_6
| spl11_18
| ~ spl11_24
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1387,f189]) ).
fof(f189,plain,
( identity != sk_c7
| spl11_18 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f1387,plain,
( identity = sk_c7
| ~ spl11_6
| ~ spl11_24
| ~ spl11_25 ),
inference(backward_demodulation,[],[f216,f1384]) ).
fof(f1384,plain,
( identity = sk_c8
| ~ spl11_6
| ~ spl11_25 ),
inference(backward_demodulation,[],[f621,f1383]) ).
fof(f1383,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_6
| ~ spl11_25 ),
inference(forward_demodulation,[],[f613,f1298]) ).
fof(f1298,plain,
( ! [X8] : multiply(sk_c1,X8) = X8
| ~ spl11_6
| ~ spl11_25 ),
inference(backward_demodulation,[],[f684,f1295]) ).
fof(f684,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c8,X8)) = X8
| ~ spl11_6 ),
inference(forward_demodulation,[],[f683,f1]) ).
fof(f683,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c1,multiply(sk_c8,X8))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f226,f618]) ).
fof(f618,plain,
( identity = sF0
| ~ spl11_6 ),
inference(forward_demodulation,[],[f616,f2]) ).
fof(f616,plain,
( sF0 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f292,f102]) ).
fof(f102,plain,
( sk_c8 = sF10
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl11_6
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f292,plain,
sF0 = multiply(inverse(sF10),sk_c8),
inference(superposition,[],[f236,f278]) ).
fof(f278,plain,
sk_c8 = multiply(sF10,sF0),
inference(forward_demodulation,[],[f263,f56]) ).
fof(f56,plain,
inverse(sk_c1) = sF10,
introduced(function_definition,[]) ).
fof(f263,plain,
sk_c8 = multiply(inverse(sk_c1),sF0),
inference(superposition,[],[f236,f35]) ).
fof(f35,plain,
multiply(sk_c1,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f226,plain,
! [X8] : multiply(sk_c1,multiply(sk_c8,X8)) = multiply(sF0,X8),
inference(superposition,[],[f3,f35]) ).
fof(f613,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl11_6 ),
inference(backward_demodulation,[],[f240,f102]) ).
fof(f240,plain,
! [X0] : multiply(sF10,multiply(sk_c1,X0)) = X0,
inference(forward_demodulation,[],[f239,f1]) ).
fof(f239,plain,
! [X0] : multiply(identity,X0) = multiply(sF10,multiply(sk_c1,X0)),
inference(superposition,[],[f3,f172]) ).
fof(f172,plain,
identity = multiply(sF10,sk_c1),
inference(superposition,[],[f2,f56]) ).
fof(f621,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f615,f618]) ).
fof(f615,plain,
( sk_c8 = multiply(sk_c8,sF0)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f278,f102]) ).
fof(f1070,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_15
| ~ spl11_18
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_15
| ~ spl11_18
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1068,f733]) ).
fof(f733,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_18 ),
inference(forward_demodulation,[],[f728,f731]) ).
fof(f731,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_18 ),
inference(forward_demodulation,[],[f729,f2]) ).
fof(f729,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_18 ),
inference(backward_demodulation,[],[f275,f726]) ).
fof(f726,plain,
( identity = sF8
| ~ spl11_1
| ~ spl11_18 ),
inference(forward_demodulation,[],[f80,f188]) ).
fof(f728,plain,
( identity = inverse(sk_c2)
| ~ spl11_1
| ~ spl11_18 ),
inference(backward_demodulation,[],[f52,f726]) ).
fof(f1068,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_15
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1062,f733]) ).
fof(f1062,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_15
| ~ spl11_18
| ~ spl11_25 ),
inference(trivial_inequality_removal,[],[f1059]) ).
fof(f1059,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_1
| ~ spl11_5
| ~ spl11_15
| ~ spl11_18
| ~ spl11_25 ),
inference(superposition,[],[f1056,f2]) ).
fof(f1056,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_15
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1055,f188]) ).
fof(f1055,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_15
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1054,f942]) ).
fof(f942,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_5
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f98,f939]) ).
fof(f939,plain,
( identity = sF9
| ~ spl11_1
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f687,f861]) ).
fof(f861,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f220,f733]) ).
fof(f687,plain,
( sk_c8 = sF9
| ~ spl11_18 ),
inference(forward_demodulation,[],[f686,f1]) ).
fof(f686,plain,
( sF9 = multiply(identity,sk_c8)
| ~ spl11_18 ),
inference(forward_demodulation,[],[f54,f188]) ).
fof(f1054,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_15
| ~ spl11_18 ),
inference(forward_demodulation,[],[f155,f188]) ).
fof(f1052,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1050,f733]) ).
fof(f1050,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1045,f733]) ).
fof(f1045,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(trivial_inequality_removal,[],[f1042]) ).
fof(f1042,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(superposition,[],[f1039,f2]) ).
fof(f1039,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1038,f942]) ).
fof(f1038,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1037,f942]) ).
fof(f1037,plain,
( ! [X5] :
( sk_c6 != multiply(X5,identity)
| sk_c6 != inverse(X5) )
| ~ spl11_1
| ~ spl11_13
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f149,f861]) ).
fof(f149,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c8)
| sk_c6 != inverse(X5) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl11_13
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c6 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f1027,plain,
( ~ spl11_1
| ~ spl11_16
| ~ spl11_18
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1026,plain,
( $false
| ~ spl11_1
| ~ spl11_16
| ~ spl11_18
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1025,f733]) ).
fof(f1025,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_16
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1021,f733]) ).
fof(f1021,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_16
| ~ spl11_18
| ~ spl11_25 ),
inference(trivial_inequality_removal,[],[f1017]) ).
fof(f1017,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_1
| ~ spl11_16
| ~ spl11_18
| ~ spl11_25 ),
inference(superposition,[],[f1001,f2]) ).
fof(f1001,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_16
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1000,f861]) ).
fof(f1000,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl11_1
| ~ spl11_16
| ~ spl11_18
| ~ spl11_25 ),
inference(forward_demodulation,[],[f999,f861]) ).
fof(f999,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl11_16
| ~ spl11_18 ),
inference(forward_demodulation,[],[f158,f188]) ).
fof(f930,plain,
( ~ spl11_1
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f929,plain,
( $false
| ~ spl11_1
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f928,f733]) ).
fof(f928,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(forward_demodulation,[],[f924,f733]) ).
fof(f924,plain,
( identity != inverse(inverse(identity))
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(trivial_inequality_removal,[],[f922]) ).
fof(f922,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(superposition,[],[f896,f2]) ).
fof(f896,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(backward_demodulation,[],[f882,f875]) ).
fof(f875,plain,
( identity = sk_c6
| ~ spl11_11
| ~ spl11_18
| ~ spl11_23 ),
inference(backward_demodulation,[],[f133,f874]) ).
fof(f874,plain,
( identity = sF5
| ~ spl11_18
| ~ spl11_23 ),
inference(forward_demodulation,[],[f211,f188]) ).
fof(f211,plain,
( sk_c7 = sF5
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f882,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,sk_c6) )
| ~ spl11_14
| ~ spl11_18 ),
inference(forward_demodulation,[],[f642,f188]) ).
fof(f642,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| identity != inverse(X7) )
| ~ spl11_14
| ~ spl11_18 ),
inference(backward_demodulation,[],[f152,f188]) ).
fof(f152,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl11_14
<=> ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f906,plain,
( ~ spl11_11
| ~ spl11_18
| spl11_19
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f905,plain,
( $false
| ~ spl11_11
| ~ spl11_18
| spl11_19
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f870,f875]) ).
fof(f870,plain,
( identity != sk_c6
| ~ spl11_18
| spl11_19 ),
inference(forward_demodulation,[],[f194,f188]) ).
fof(f194,plain,
( sk_c7 != sk_c6
| spl11_19 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f881,plain,
( ~ spl11_1
| ~ spl11_4
| spl11_5
| ~ spl11_18
| ~ spl11_24 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f880,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| spl11_5
| ~ spl11_18
| ~ spl11_24 ),
inference(subsumption_resolution,[],[f822,f853]) ).
fof(f853,plain,
( identity != sk_c6
| spl11_5
| ~ spl11_18
| ~ spl11_24 ),
inference(forward_demodulation,[],[f720,f754]) ).
fof(f754,plain,
( identity = sk_c8
| ~ spl11_18
| ~ spl11_24 ),
inference(forward_demodulation,[],[f216,f188]) ).
fof(f720,plain,
( sk_c8 != sk_c6
| spl11_5
| ~ spl11_18 ),
inference(forward_demodulation,[],[f97,f687]) ).
fof(f97,plain,
( sk_c6 != sF9
| spl11_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f822,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_18 ),
inference(forward_demodulation,[],[f93,f746]) ).
fof(f746,plain,
( identity = sF2
| ~ spl11_1
| ~ spl11_18 ),
inference(forward_demodulation,[],[f745,f2]) ).
fof(f745,plain,
( sF2 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_18 ),
inference(forward_demodulation,[],[f744,f726]) ).
fof(f744,plain,
( sF2 = multiply(inverse(sF8),identity)
| ~ spl11_18 ),
inference(forward_demodulation,[],[f296,f188]) ).
fof(f851,plain,
( ~ spl11_1
| ~ spl11_18
| ~ spl11_24
| spl11_25 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f850,plain,
( $false
| ~ spl11_1
| ~ spl11_18
| ~ spl11_24
| spl11_25 ),
inference(subsumption_resolution,[],[f849,f754]) ).
fof(f849,plain,
( identity != sk_c8
| ~ spl11_1
| ~ spl11_18
| spl11_25 ),
inference(forward_demodulation,[],[f221,f733]) ).
fof(f221,plain,
( sk_c8 != inverse(identity)
| spl11_25 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f836,plain,
( spl11_5
| ~ spl11_18
| ~ spl11_19
| ~ spl11_24 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f835,plain,
( $false
| spl11_5
| ~ spl11_18
| ~ spl11_19
| ~ spl11_24 ),
inference(subsumption_resolution,[],[f834,f754]) ).
fof(f834,plain,
( identity != sk_c8
| spl11_5
| ~ spl11_18
| ~ spl11_19 ),
inference(forward_demodulation,[],[f720,f764]) ).
fof(f764,plain,
( identity = sk_c6
| ~ spl11_18
| ~ spl11_19 ),
inference(forward_demodulation,[],[f193,f188]) ).
fof(f705,plain,
( ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_18
| spl11_24 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_18
| spl11_24 ),
inference(subsumption_resolution,[],[f703,f644]) ).
fof(f644,plain,
( identity != sk_c8
| ~ spl11_18
| spl11_24 ),
inference(backward_demodulation,[],[f217,f188]) ).
fof(f703,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_18 ),
inference(forward_demodulation,[],[f702,f655]) ).
fof(f655,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f646,f1]) ).
fof(f646,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f251,f188]) ).
fof(f251,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_10 ),
inference(superposition,[],[f238,f167]) ).
fof(f167,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f47,f84]) ).
fof(f84,plain,
( sk_c7 = sF7
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_2
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f47,plain,
multiply(sk_c5,sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl11_10 ),
inference(forward_demodulation,[],[f237,f1]) ).
fof(f237,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl11_10 ),
inference(superposition,[],[f3,f174]) ).
fof(f174,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl11_10 ),
inference(superposition,[],[f2,f171]) ).
fof(f171,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f42,f123]) ).
fof(f123,plain,
( sk_c7 = sF4
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl11_10
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f42,plain,
inverse(sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f702,plain,
( sk_c8 = sk_c6
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_18 ),
inference(forward_demodulation,[],[f133,f695]) ).
fof(f695,plain,
( sk_c8 = sF5
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f694,f1]) ).
fof(f694,plain,
( sF5 = multiply(identity,sk_c8)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f43,f663]) ).
fof(f663,plain,
( identity = sk_c3
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f659,f2]) ).
fof(f659,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f485,f655]) ).
fof(f485,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f274,f112]) ).
fof(f274,plain,
sk_c3 = multiply(inverse(sF6),identity),
inference(superposition,[],[f236,f176]) ).
fof(f176,plain,
identity = multiply(sF6,sk_c3),
inference(superposition,[],[f2,f46]) ).
fof(f635,plain,
( spl11_18
| ~ spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f634,f115,f100,f187]) ).
fof(f115,plain,
( spl11_9
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f634,plain,
( identity = sk_c7
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f117,f618]) ).
fof(f117,plain,
( sk_c7 = sF0
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f617,plain,
( spl11_21
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f611,f100,f201]) ).
fof(f201,plain,
( spl11_21
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f611,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f56,f102]) ).
fof(f526,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| spl11_23
| ~ spl11_24 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| spl11_23
| ~ spl11_24 ),
inference(subsumption_resolution,[],[f524,f349]) ).
fof(f349,plain,
( sk_c8 != sF5
| spl11_23
| ~ spl11_24 ),
inference(backward_demodulation,[],[f212,f216]) ).
fof(f524,plain,
( sk_c8 = sF5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_24 ),
inference(forward_demodulation,[],[f516,f259]) ).
fof(f516,plain,
( sF5 = multiply(inverse(identity),sk_c8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_24 ),
inference(backward_demodulation,[],[f487,f506]) ).
fof(f506,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_24 ),
inference(forward_demodulation,[],[f93,f497]) ).
fof(f497,plain,
( identity = sF2
| ~ spl11_1
| ~ spl11_24 ),
inference(forward_demodulation,[],[f495,f2]) ).
fof(f495,plain,
( sF2 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_1
| ~ spl11_24 ),
inference(backward_demodulation,[],[f367,f489]) ).
fof(f489,plain,
( sk_c8 = sF8
| ~ spl11_1
| ~ spl11_24 ),
inference(forward_demodulation,[],[f80,f216]) ).
fof(f367,plain,
( multiply(inverse(sF8),sk_c8) = sF2
| ~ spl11_24 ),
inference(backward_demodulation,[],[f296,f216]) ).
fof(f487,plain,
( sF5 = multiply(inverse(sk_c6),sk_c8)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f294,f112]) ).
fof(f477,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_24
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_24
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f475,f220]) ).
fof(f475,plain,
( sk_c8 != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_24 ),
inference(trivial_inequality_removal,[],[f469]) ).
fof(f469,plain,
( sk_c8 != inverse(identity)
| sk_c8 != sk_c8
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_24 ),
inference(superposition,[],[f468,f1]) ).
fof(f468,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_24 ),
inference(forward_demodulation,[],[f467,f216]) ).
fof(f467,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c8 != multiply(X7,sk_c8) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_24 ),
inference(forward_demodulation,[],[f466,f216]) ).
fof(f466,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_24 ),
inference(forward_demodulation,[],[f152,f398]) ).
fof(f398,plain,
( sk_c8 = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f291,f397]) ).
fof(f397,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(forward_demodulation,[],[f396,f382]) ).
fof(f382,plain,
( ! [X9] : multiply(sk_c8,X9) = X9
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f235,f379]) ).
fof(f379,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(forward_demodulation,[],[f376,f235]) ).
fof(f376,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f300,f374]) ).
fof(f374,plain,
( sk_c4 = sk_c5
| ~ spl11_3
| ~ spl11_10
| ~ spl11_24 ),
inference(forward_demodulation,[],[f361,f264]) ).
fof(f264,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl11_3 ),
inference(superposition,[],[f236,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_3 ),
inference(superposition,[],[f2,f170]) ).
fof(f170,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f36,f89]) ).
fof(f361,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f268,f216]) ).
fof(f268,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl11_10 ),
inference(superposition,[],[f236,f174]) ).
fof(f300,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c4,X0)
| ~ spl11_7
| ~ spl11_10 ),
inference(superposition,[],[f229,f238]) ).
fof(f229,plain,
( ! [X11] : multiply(sk_c8,X11) = multiply(sk_c4,multiply(sk_c7,X11))
| ~ spl11_7 ),
inference(superposition,[],[f3,f169]) ).
fof(f169,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f39,f107]) ).
fof(f235,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = X9
| ~ spl11_3 ),
inference(forward_demodulation,[],[f227,f1]) ).
fof(f227,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c8,multiply(sk_c4,X9))
| ~ spl11_3 ),
inference(superposition,[],[f3,f173]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,X0)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f371,f382]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl11_2
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f314,f216]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl11_2
| ~ spl11_10 ),
inference(superposition,[],[f238,f230]) ).
fof(f230,plain,
( ! [X12] : multiply(sk_c5,multiply(sk_c6,X12)) = multiply(sk_c7,X12)
| ~ spl11_2 ),
inference(superposition,[],[f3,f167]) ).
fof(f291,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f286,f251]) ).
fof(f286,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7 ),
inference(superposition,[],[f228,f245]) ).
fof(f245,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_3
| ~ spl11_7 ),
inference(superposition,[],[f235,f169]) ).
fof(f228,plain,
( ! [X10] : multiply(sk_c6,X10) = multiply(sk_c7,multiply(sk_c8,X10))
| ~ spl11_5 ),
inference(superposition,[],[f3,f168]) ).
fof(f168,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl11_5 ),
inference(backward_demodulation,[],[f54,f98]) ).
fof(f456,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13
| ~ spl11_24
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13
| ~ spl11_24
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f454,f220]) ).
fof(f454,plain,
( sk_c8 != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13
| ~ spl11_24 ),
inference(trivial_inequality_removal,[],[f448]) ).
fof(f448,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13
| ~ spl11_24 ),
inference(superposition,[],[f441,f1]) ).
fof(f441,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13
| ~ spl11_24 ),
inference(forward_demodulation,[],[f440,f398]) ).
fof(f440,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c6 != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13
| ~ spl11_24 ),
inference(forward_demodulation,[],[f149,f398]) ).
fof(f442,plain,
( spl11_25
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f384,f215,f121,f105,f87,f219]) ).
fof(f384,plain,
( sk_c8 = inverse(identity)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f170,f383]) ).
fof(f383,plain,
( identity = sk_c4
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f264,f381]) ).
fof(f381,plain,
( ! [X7] : multiply(inverse(sk_c8),X7) = X7
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_24 ),
inference(backward_demodulation,[],[f265,f379]) ).
fof(f265,plain,
( ! [X7] : multiply(sk_c4,X7) = multiply(inverse(sk_c8),X7)
| ~ spl11_3 ),
inference(superposition,[],[f236,f235]) ).
fof(f337,plain,
( spl11_19
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f332,f121,f105,f96,f87,f82,f192]) ).
fof(f332,plain,
( sk_c7 = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f313,f331]) ).
fof(f331,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f328,f309]) ).
fof(f309,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7 ),
inference(forward_demodulation,[],[f298,f245]) ).
fof(f298,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl11_5
| ~ spl11_7 ),
inference(superposition,[],[f229,f168]) ).
fof(f328,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_10 ),
inference(superposition,[],[f229,f251]) ).
fof(f313,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7 ),
inference(forward_demodulation,[],[f311,f170]) ).
fof(f311,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c7)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7 ),
inference(superposition,[],[f236,f309]) ).
fof(f336,plain,
( spl11_24
| ~ spl11_2
| ~ spl11_5
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f335,f121,f96,f82,f215]) ).
fof(f335,plain,
( sk_c8 = sk_c7
| ~ spl11_2
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f329,f267]) ).
fof(f267,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_5 ),
inference(superposition,[],[f236,f168]) ).
fof(f329,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_2
| ~ spl11_10 ),
inference(superposition,[],[f236,f251]) ).
fof(f222,plain,
( ~ spl11_24
| ~ spl11_25
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f177,f145,f219,f215]) ).
fof(f145,plain,
( spl11_12
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f177,plain,
( sk_c8 != inverse(identity)
| sk_c8 != sk_c7
| ~ spl11_12 ),
inference(superposition,[],[f146,f1]) ).
fof(f146,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f204,plain,
( ~ spl11_9
| ~ spl11_21
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f179,f145,f201,f115]) ).
fof(f179,plain,
( sk_c8 != inverse(sk_c1)
| sk_c7 != sF0
| ~ spl11_12 ),
inference(superposition,[],[f146,f35]) ).
fof(f166,plain,
( spl11_11
| spl11_10 ),
inference(avatar_split_clause,[],[f44,f121,f131]) ).
fof(f44,plain,
( sk_c7 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f32,f43,f42]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f165,plain,
( spl11_5
| spl11_1 ),
inference(avatar_split_clause,[],[f59,f78,f96]) ).
fof(f59,plain,
( sk_c7 = sF8
| sk_c6 = sF9 ),
inference(definition_folding,[],[f19,f54,f52]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f164,plain,
( spl11_5
| spl11_9 ),
inference(avatar_split_clause,[],[f55,f115,f96]) ).
fof(f55,plain,
( sk_c7 = sF0
| sk_c6 = sF9 ),
inference(definition_folding,[],[f4,f35,f54]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f163,plain,
( spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f49,f131,f87]) ).
fof(f49,plain,
( sk_c6 = sF5
| sk_c8 = sF1 ),
inference(definition_folding,[],[f30,f43,f36]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f162,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f69,f87,f78]) ).
fof(f69,plain,
( sk_c8 = sF1
| sk_c7 = sF8 ),
inference(definition_folding,[],[f20,f52,f36]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f161,plain,
( spl11_9
| spl11_7 ),
inference(avatar_split_clause,[],[f41,f105,f115]) ).
fof(f41,plain,
( sk_c8 = sF3
| sk_c7 = sF0 ),
inference(definition_folding,[],[f6,f39,f35]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f159,plain,
( spl11_12
| spl11_13
| spl11_14
| spl11_15
| ~ spl11_5
| spl11_16 ),
inference(avatar_split_clause,[],[f65,f157,f96,f154,f151,f148,f145]) ).
fof(f65,plain,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X6)
| sk_c6 != sF9
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X7)
| sk_c6 != inverse(X5)
| sk_c8 != multiply(X6,sk_c7)
| sk_c6 != multiply(X5,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X4) ),
inference(definition_folding,[],[f34,f54]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != multiply(X5,sk_c8)
| sk_c6 != inverse(X5)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f143,plain,
( spl11_2
| spl11_4 ),
inference(avatar_split_clause,[],[f71,f91,f82]) ).
fof(f71,plain,
( sk_c6 = sF2
| sk_c7 = sF7 ),
inference(definition_folding,[],[f18,f47,f38]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f142,plain,
( spl11_7
| spl11_11 ),
inference(avatar_split_clause,[],[f66,f131,f105]) ).
fof(f66,plain,
( sk_c6 = sF5
| sk_c8 = sF3 ),
inference(definition_folding,[],[f31,f39,f43]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f141,plain,
( spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f68,f100,f82]) ).
fof(f68,plain,
( sk_c8 = sF10
| sk_c7 = sF7 ),
inference(definition_folding,[],[f13,f47,f56]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f140,plain,
( spl11_2
| spl11_11 ),
inference(avatar_split_clause,[],[f51,f131,f82]) ).
fof(f51,plain,
( sk_c6 = sF5
| sk_c7 = sF7 ),
inference(definition_folding,[],[f33,f43,f47]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f139,plain,
( spl11_1
| spl11_7 ),
inference(avatar_split_clause,[],[f73,f105,f78]) ).
fof(f73,plain,
( sk_c8 = sF3
| sk_c7 = sF8 ),
inference(definition_folding,[],[f21,f52,f39]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f138,plain,
( spl11_4
| spl11_10 ),
inference(avatar_split_clause,[],[f45,f121,f91]) ).
fof(f45,plain,
( sk_c7 = sF4
| sk_c6 = sF2 ),
inference(definition_folding,[],[f17,f38,f42]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f136,plain,
( spl11_1
| spl11_10 ),
inference(avatar_split_clause,[],[f72,f121,f78]) ).
fof(f72,plain,
( sk_c7 = sF4
| sk_c7 = sF8 ),
inference(definition_folding,[],[f22,f42,f52]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f134,plain,
( spl11_11
| spl11_5 ),
inference(avatar_split_clause,[],[f67,f96,f131]) ).
fof(f67,plain,
( sk_c6 = sF9
| sk_c6 = sF5 ),
inference(definition_folding,[],[f29,f43,f54]) ).
fof(f29,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f129,plain,
( spl11_5
| spl11_8 ),
inference(avatar_split_clause,[],[f76,f110,f96]) ).
fof(f76,plain,
( sk_c6 = sF6
| sk_c6 = sF9 ),
inference(definition_folding,[],[f24,f54,f46]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f128,plain,
( spl11_6
| spl11_10 ),
inference(avatar_split_clause,[],[f61,f121,f100]) ).
fof(f61,plain,
( sk_c7 = sF4
| sk_c8 = sF10 ),
inference(definition_folding,[],[f12,f56,f42]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f127,plain,
( spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f70,f87,f100]) ).
fof(f70,plain,
( sk_c8 = sF1
| sk_c8 = sF10 ),
inference(definition_folding,[],[f10,f56,f36]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f126,plain,
( spl11_10
| spl11_8 ),
inference(avatar_split_clause,[],[f63,f110,f121]) ).
fof(f63,plain,
( sk_c6 = sF6
| sk_c7 = sF4 ),
inference(definition_folding,[],[f27,f42,f46]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f125,plain,
( spl11_5
| spl11_4 ),
inference(avatar_split_clause,[],[f60,f91,f96]) ).
fof(f60,plain,
( sk_c6 = sF2
| sk_c6 = sF9 ),
inference(definition_folding,[],[f14,f38,f54]) ).
fof(f14,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f124,plain,
( spl11_10
| spl11_9 ),
inference(avatar_split_clause,[],[f75,f115,f121]) ).
fof(f75,plain,
( sk_c7 = sF0
| sk_c7 = sF4 ),
inference(definition_folding,[],[f7,f42,f35]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f119,plain,
( spl11_2
| spl11_9 ),
inference(avatar_split_clause,[],[f58,f115,f82]) ).
fof(f58,plain,
( sk_c7 = sF0
| sk_c7 = sF7 ),
inference(definition_folding,[],[f8,f35,f47]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f118,plain,
( spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f37,f87,f115]) ).
fof(f37,plain,
( sk_c8 = sF1
| sk_c7 = sF0 ),
inference(definition_folding,[],[f5,f36,f35]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f113,plain,
( spl11_8
| spl11_2 ),
inference(avatar_split_clause,[],[f48,f82,f110]) ).
fof(f48,plain,
( sk_c7 = sF7
| sk_c6 = sF6 ),
inference(definition_folding,[],[f28,f47,f46]) ).
fof(f28,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f108,plain,
( spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f57,f105,f100]) ).
fof(f57,plain,
( sk_c8 = sF3
| sk_c8 = sF10 ),
inference(definition_folding,[],[f11,f56,f39]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f103,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f74,f100,f96]) ).
fof(f74,plain,
( sk_c8 = sF10
| sk_c6 = sF9 ),
inference(definition_folding,[],[f9,f54,f56]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f85,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f53,f82,f78]) ).
fof(f53,plain,
( sk_c7 = sF7
| sk_c7 = sF8 ),
inference(definition_folding,[],[f23,f52,f47]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP255-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:25:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (857)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)
% 0.20/0.50 % (859)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)
% 0.20/0.51 % (836)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)
% 0.20/0.51 % (844)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)
% 0.20/0.52 % (841)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)
% 0.20/0.52 % (841)Refutation not found, incomplete strategy% (841)------------------------------
% 0.20/0.52 % (841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (841)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (841)Memory used [KB]: 5884
% 0.20/0.52 % (841)Time elapsed: 0.106 s
% 0.20/0.52 % (841)Instructions burned: 3 (million)
% 0.20/0.52 % (841)------------------------------
% 0.20/0.52 % (841)------------------------------
% 0.20/0.52 % (832)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (833)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)
% 0.20/0.52 % (858)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)
% 0.20/0.52 % (843)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)
% 0.20/0.53 % (863)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)
% 0.20/0.53 % (834)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)
% 0.20/0.53 % (863)Refutation not found, incomplete strategy% (863)------------------------------
% 0.20/0.53 % (863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (863)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (863)Memory used [KB]: 5884
% 0.20/0.53 % (863)Time elapsed: 0.128 s
% 0.20/0.53 % (863)Instructions burned: 2 (million)
% 0.20/0.53 % (863)------------------------------
% 0.20/0.53 % (863)------------------------------
% 0.20/0.53 % (834)Instruction limit reached!
% 0.20/0.53 % (834)------------------------------
% 0.20/0.53 % (834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (834)Termination reason: Unknown
% 0.20/0.53 % (834)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (834)Memory used [KB]: 5884
% 0.20/0.53 % (834)Time elapsed: 0.003 s
% 0.20/0.53 % (834)Instructions burned: 4 (million)
% 0.20/0.53 % (834)------------------------------
% 0.20/0.53 % (834)------------------------------
% 0.20/0.53 % (836)Refutation not found, incomplete strategy% (836)------------------------------
% 0.20/0.53 % (836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (842)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)
% 0.20/0.53 % (849)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)
% 0.20/0.53 % (836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (836)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (836)Memory used [KB]: 5884
% 0.20/0.53 % (836)Time elapsed: 0.128 s
% 0.20/0.53 % (836)Instructions burned: 4 (million)
% 0.20/0.53 % (836)------------------------------
% 0.20/0.53 % (836)------------------------------
% 0.20/0.53 % (842)Instruction limit reached!
% 0.20/0.53 % (842)------------------------------
% 0.20/0.53 % (842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (842)Termination reason: Unknown
% 0.20/0.53 % (842)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (842)Memory used [KB]: 5884
% 0.20/0.53 % (842)Time elapsed: 0.004 s
% 0.20/0.53 % (842)Instructions burned: 3 (million)
% 0.20/0.53 % (842)------------------------------
% 0.20/0.53 % (842)------------------------------
% 0.20/0.53 % (844)Instruction limit reached!
% 0.20/0.53 % (844)------------------------------
% 0.20/0.53 % (844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (844)Termination reason: Unknown
% 0.20/0.53 % (844)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (844)Memory used [KB]: 6012
% 0.20/0.53 % (844)Time elapsed: 0.128 s
% 0.20/0.53 % (844)Instructions burned: 6 (million)
% 0.20/0.53 % (844)------------------------------
% 0.20/0.53 % (844)------------------------------
% 0.20/0.53 % (840)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)
% 0.20/0.53 % (848)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)
% 0.20/0.53 % (858)Refutation not found, incomplete strategy% (858)------------------------------
% 0.20/0.53 % (858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (855)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)
% 0.20/0.53 % (861)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)
% 0.20/0.53 % (837)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (858)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (858)Memory used [KB]: 5884
% 0.20/0.53 % (858)Time elapsed: 0.128 s
% 0.20/0.53 % (858)Instructions burned: 3 (million)
% 0.20/0.53 % (858)------------------------------
% 0.20/0.53 % (858)------------------------------
% 0.20/0.53 % (849)Instruction limit reached!
% 0.20/0.53 % (849)------------------------------
% 0.20/0.53 % (849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (849)Termination reason: Unknown
% 0.20/0.53 % (849)Termination phase: Finite model building preprocessing
% 0.20/0.53
% 0.20/0.54 % (849)Memory used [KB]: 6012
% 0.20/0.54 % (849)Time elapsed: 0.006 s
% 0.20/0.54 % (849)Instructions burned: 6 (million)
% 0.20/0.54 % (849)------------------------------
% 0.20/0.54 % (849)------------------------------
% 0.20/0.54 % (835)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)
% 0.20/0.54 % (855)Instruction limit reached!
% 0.20/0.54 % (855)------------------------------
% 0.20/0.54 % (855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (855)Termination reason: Unknown
% 0.20/0.54 % (855)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (855)Memory used [KB]: 1407
% 0.20/0.54 % (855)Time elapsed: 0.139 s
% 0.20/0.54 % (855)Instructions burned: 7 (million)
% 0.20/0.54 % (855)------------------------------
% 0.20/0.54 % (855)------------------------------
% 0.20/0.54 % (861)Refutation not found, incomplete strategy% (861)------------------------------
% 0.20/0.54 % (861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (861)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (861)Memory used [KB]: 5884
% 0.20/0.54 % (861)Time elapsed: 0.140 s
% 0.20/0.54 % (861)Instructions burned: 4 (million)
% 0.20/0.54 % (861)------------------------------
% 0.20/0.54 % (861)------------------------------
% 0.20/0.54 % (835)Refutation not found, incomplete strategy% (835)------------------------------
% 0.20/0.54 % (835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (835)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (835)Memory used [KB]: 5884
% 0.20/0.54 % (835)Time elapsed: 0.133 s
% 0.20/0.54 % (835)Instructions burned: 2 (million)
% 0.20/0.54 % (835)------------------------------
% 0.20/0.54 % (835)------------------------------
% 0.20/0.54 % (846)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)
% 0.20/0.54 % (850)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)
% 0.20/0.54 % (850)Instruction limit reached!
% 0.20/0.54 % (850)------------------------------
% 0.20/0.54 % (850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (850)Termination reason: Unknown
% 0.20/0.54 % (850)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (850)Memory used [KB]: 1279
% 0.20/0.54 % (850)Time elapsed: 0.002 s
% 0.20/0.54 % (850)Instructions burned: 2 (million)
% 0.20/0.54 % (850)------------------------------
% 0.20/0.54 % (850)------------------------------
% 0.20/0.54 % (852)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)
% 0.20/0.54 % (846)Instruction limit reached!
% 0.20/0.54 % (846)------------------------------
% 0.20/0.54 % (846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (846)Termination reason: Unknown
% 0.20/0.54 % (846)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (846)Memory used [KB]: 6012
% 0.20/0.54 % (846)Time elapsed: 0.142 s
% 0.20/0.54 % (846)Instructions burned: 6 (million)
% 0.20/0.54 % (846)------------------------------
% 0.20/0.54 % (846)------------------------------
% 0.20/0.54 % (854)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)
% 0.20/0.54 % (864)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)
% 0.20/0.55 % (845)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)
% 0.20/0.55 % (851)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.61/0.55 % (860)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)
% 1.61/0.55 % (851)Instruction limit reached!
% 1.61/0.55 % (851)------------------------------
% 1.61/0.55 % (851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.55 % (851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.55 % (851)Termination reason: Unknown
% 1.61/0.55 % (851)Termination phase: Saturation
% 1.61/0.55
% 1.61/0.55 % (851)Memory used [KB]: 6012
% 1.61/0.55 % (851)Time elapsed: 0.151 s
% 1.61/0.55 % (851)Instructions burned: 8 (million)
% 1.61/0.55 % (851)------------------------------
% 1.61/0.55 % (851)------------------------------
% 1.61/0.56 % (859)Instruction limit reached!
% 1.61/0.56 % (859)------------------------------
% 1.61/0.56 % (859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56 % (859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56 % (859)Termination reason: Unknown
% 1.61/0.56 % (859)Termination phase: Saturation
% 1.61/0.56
% 1.61/0.56 % (859)Memory used [KB]: 6780
% 1.61/0.56 % (859)Time elapsed: 0.099 s
% 1.61/0.56 % (859)Instructions burned: 46 (million)
% 1.61/0.56 % (859)------------------------------
% 1.61/0.56 % (859)------------------------------
% 1.61/0.57 % (847)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)
% 1.61/0.57 % (854)Instruction limit reached!
% 1.61/0.57 % (854)------------------------------
% 1.61/0.57 % (854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (854)Termination reason: Unknown
% 1.61/0.57 % (854)Termination phase: Saturation
% 1.61/0.57
% 1.61/0.57 % (854)Memory used [KB]: 6012
% 1.61/0.57 % (854)Time elapsed: 0.151 s
% 1.61/0.57 % (854)Instructions burned: 8 (million)
% 1.61/0.57 % (854)------------------------------
% 1.61/0.57 % (854)------------------------------
% 1.61/0.57 % (847)Instruction limit reached!
% 1.61/0.57 % (847)------------------------------
% 1.61/0.57 % (847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (847)Termination reason: Unknown
% 1.61/0.57 % (847)Termination phase: Saturation
% 1.61/0.57
% 1.61/0.57 % (847)Memory used [KB]: 5884
% 1.61/0.57 % (847)Time elapsed: 0.003 s
% 1.61/0.57 % (847)Instructions burned: 3 (million)
% 1.61/0.57 % (847)------------------------------
% 1.61/0.57 % (847)------------------------------
% 1.74/0.57 % (856)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)
% 1.74/0.57 % (845)Instruction limit reached!
% 1.74/0.57 % (845)------------------------------
% 1.74/0.57 % (845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57 % (845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57 % (845)Termination reason: Unknown
% 1.74/0.57 % (845)Termination phase: Saturation
% 1.74/0.57
% 1.74/0.57 % (845)Memory used [KB]: 6268
% 1.74/0.57 % (845)Time elapsed: 0.178 s
% 1.74/0.57 % (845)Instructions burned: 23 (million)
% 1.74/0.57 % (845)------------------------------
% 1.74/0.57 % (845)------------------------------
% 1.74/0.58 % (860)Refutation not found, incomplete strategy% (860)------------------------------
% 1.74/0.58 % (860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58 % (860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58 % (860)Termination reason: Refutation not found, incomplete strategy
% 1.74/0.58
% 1.74/0.58 % (860)Memory used [KB]: 6012
% 1.74/0.58 % (860)Time elapsed: 0.163 s
% 1.74/0.58 % (860)Instructions burned: 10 (million)
% 1.74/0.58 % (860)------------------------------
% 1.74/0.58 % (860)------------------------------
% 1.74/0.58 % (862)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)
% 1.74/0.58 % (848)Instruction limit reached!
% 1.74/0.58 % (848)------------------------------
% 1.74/0.58 % (848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58 % (848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58 % (848)Termination reason: Unknown
% 1.74/0.58 % (848)Termination phase: Saturation
% 1.74/0.58
% 1.74/0.58 % (848)Memory used [KB]: 1663
% 1.74/0.58 % (848)Time elapsed: 0.150 s
% 1.74/0.58 % (848)Instructions burned: 29 (million)
% 1.74/0.58 % (848)------------------------------
% 1.74/0.58 % (848)------------------------------
% 1.74/0.58 % (837)Instruction limit reached!
% 1.74/0.58 % (837)------------------------------
% 1.74/0.58 % (837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58 % (837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58 % (837)Termination reason: Unknown
% 1.74/0.58 % (837)Termination phase: Saturation
% 1.74/0.58
% 1.74/0.58 % (837)Memory used [KB]: 6140
% 1.74/0.58 % (837)Time elapsed: 0.189 s
% 1.74/0.58 % (837)Instructions burned: 25 (million)
% 1.74/0.58 % (837)------------------------------
% 1.74/0.58 % (837)------------------------------
% 1.74/0.59 % (833)Instruction limit reached!
% 1.74/0.59 % (833)------------------------------
% 1.74/0.59 % (833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (833)Termination reason: Unknown
% 1.74/0.59 % (833)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (833)Memory used [KB]: 1663
% 1.74/0.59 % (833)Time elapsed: 0.176 s
% 1.74/0.59 % (833)Instructions burned: 43 (million)
% 1.74/0.59 % (833)------------------------------
% 1.74/0.59 % (833)------------------------------
% 1.74/0.59 % (852)Instruction limit reached!
% 1.74/0.59 % (852)------------------------------
% 1.74/0.59 % (852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (852)Termination reason: Unknown
% 1.74/0.59 % (852)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (852)Memory used [KB]: 10618
% 1.74/0.59 % (852)Time elapsed: 0.185 s
% 1.74/0.59 % (852)Instructions burned: 28 (million)
% 1.74/0.59 % (852)------------------------------
% 1.74/0.59 % (852)------------------------------
% 1.74/0.60 % (840)Instruction limit reached!
% 1.74/0.60 % (840)------------------------------
% 1.74/0.60 % (840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60 % (840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60 % (840)Termination reason: Unknown
% 1.74/0.60 % (840)Termination phase: Saturation
% 1.74/0.60
% 1.74/0.60 % (840)Memory used [KB]: 1535
% 1.74/0.60 % (840)Time elapsed: 0.187 s
% 1.74/0.60 % (840)Instructions burned: 50 (million)
% 1.74/0.60 % (840)------------------------------
% 1.74/0.60 % (840)------------------------------
% 1.74/0.62 % (843)Instruction limit reached!
% 1.74/0.62 % (843)------------------------------
% 1.74/0.62 % (843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62 % (843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62 % (843)Termination reason: Unknown
% 1.74/0.62 % (843)Termination phase: Saturation
% 1.74/0.62
% 1.74/0.62 % (843)Memory used [KB]: 6908
% 1.74/0.62 % (843)Time elapsed: 0.214 s
% 1.74/0.62 % (843)Instructions burned: 52 (million)
% 1.74/0.62 % (843)------------------------------
% 1.74/0.62 % (843)------------------------------
% 1.74/0.62 % (832)First to succeed.
% 2.07/0.64 % (866)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.07/0.65 % (832)Refutation found. Thanks to Tanya!
% 2.07/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.07/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.65 % (832)------------------------------
% 2.07/0.65 % (832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (832)Termination reason: Refutation
% 2.07/0.65
% 2.07/0.65 % (832)Memory used [KB]: 6524
% 2.07/0.65 % (832)Time elapsed: 0.232 s
% 2.07/0.65 % (832)Instructions burned: 58 (million)
% 2.07/0.65 % (832)------------------------------
% 2.07/0.65 % (832)------------------------------
% 2.07/0.65 % (831)Success in time 0.306 s
%------------------------------------------------------------------------------