TSTP Solution File: GRP312-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP312-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 May 1 02:28:29 EDT 2024
% Result : Unsatisfiable 0.68s 0.82s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 99
% Syntax : Number of formulae : 455 ( 39 unt; 0 def)
% Number of atoms : 1885 ( 429 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 2701 (1271 ~;1404 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 27 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 150 ( 150 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2060,plain,
$false,
inference(avatar_sat_refutation,[],[f187,f192,f197,f202,f207,f212,f217,f222,f227,f232,f237,f238,f245,f251,f252,f255,f256,f257,f258,f259,f260,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f339,f476,f585,f633,f674,f716,f757,f915,f1172,f1332,f1343,f1508,f1614,f1624,f1630,f1635,f1641,f1647,f1652,f1701,f1732,f2041]) ).
fof(f2041,plain,
( ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(avatar_contradiction_clause,[],[f2040]) ).
fof(f2040,plain,
( $false
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(trivial_inequality_removal,[],[f2039]) ).
fof(f2039,plain,
( sk_c11 != sk_c11
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(duplicate_literal_removal,[],[f2032]) ).
fof(f2032,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(superposition,[],[f1915,f954]) ).
fof(f954,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl30_65 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f953,plain,
( spl30_65
<=> sk_c11 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_65])]) ).
fof(f1915,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != X0 )
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1914,f1881]) ).
fof(f1881,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl30_1
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1879,f867]) ).
fof(f867,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f373,f373]) ).
fof(f373,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f360,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',left_identity) ).
fof(f360,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',associativity) ).
fof(f1879,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c11) = X0
| ~ spl30_1
| ~ spl30_73
| ~ spl30_76 ),
inference(superposition,[],[f373,f1754]) ).
fof(f1754,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl30_1
| ~ spl30_73
| ~ spl30_76 ),
inference(backward_demodulation,[],[f1250,f1148]) ).
fof(f1148,plain,
( sk_c11 = sk_c12
| ~ spl30_76 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1147,plain,
( spl30_76
<=> sk_c11 = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_76])]) ).
fof(f1250,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c12
| ~ spl30_1
| ~ spl30_73 ),
inference(backward_demodulation,[],[f2,f1248]) ).
fof(f1248,plain,
( identity = sk_c12
| ~ spl30_1
| ~ spl30_73 ),
inference(forward_demodulation,[],[f1246,f2]) ).
fof(f1246,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl30_1
| ~ spl30_73 ),
inference(superposition,[],[f373,f1186]) ).
fof(f1186,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl30_1
| ~ spl30_73 ),
inference(backward_demodulation,[],[f944,f1122]) ).
fof(f1122,plain,
( sk_c11 = sk_c10
| ~ spl30_73 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1121,plain,
( spl30_73
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_73])]) ).
fof(f944,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl30_1 ),
inference(backward_demodulation,[],[f92,f182]) ).
fof(f182,plain,
( sk_c10 = sF14
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl30_1
<=> sk_c10 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
fof(f92,plain,
multiply(sk_c11,sk_c12) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1914,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1913,f1881]) ).
fof(f1913,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1912,f1743]) ).
fof(f1743,plain,
( ~ sP1(sk_c11)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f76,f1148]) ).
fof(f76,plain,
~ sP1(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1912,plain,
( ! [X0] :
( sP1(sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1911,f1655]) ).
fof(f1655,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_73 ),
inference(forward_demodulation,[],[f1277,f1279]) ).
fof(f1279,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl30_1
| ~ spl30_13
| ~ spl30_73 ),
inference(backward_demodulation,[],[f938,f1249]) ).
fof(f1249,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl30_1
| ~ spl30_73 ),
inference(backward_demodulation,[],[f1,f1248]) ).
fof(f938,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
| ~ spl30_13 ),
inference(backward_demodulation,[],[f862,f250]) ).
fof(f250,plain,
( sk_c12 = sF25
| ~ spl30_13 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl30_13
<=> sk_c12 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_13])]) ).
fof(f862,plain,
! [X0] : multiply(sF25,multiply(sk_c1,X0)) = X0,
inference(superposition,[],[f373,f123]) ).
fof(f123,plain,
inverse(sk_c1) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f1277,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl30_1
| ~ spl30_12
| ~ spl30_73 ),
inference(backward_demodulation,[],[f940,f1249]) ).
fof(f940,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c12,X0))
| ~ spl30_12 ),
inference(backward_demodulation,[],[f368,f236]) ).
fof(f236,plain,
( sk_c11 = sF24
| ~ spl30_12 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl30_12
<=> sk_c11 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_12])]) ).
fof(f368,plain,
! [X0] : multiply(sk_c1,multiply(sk_c12,X0)) = multiply(sF24,X0),
inference(superposition,[],[f3,f112]) ).
fof(f112,plain,
multiply(sk_c1,sk_c12) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f1911,plain,
( ! [X0] :
( sP1(multiply(sk_c11,sk_c11))
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_1
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1906,f1742]) ).
fof(f1742,plain,
( ~ sP0(sk_c11)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f75,f1148]) ).
fof(f75,plain,
~ sP0(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1906,plain,
( ! [X0] :
( sP0(sk_c11)
| sP1(multiply(sk_c11,sk_c11))
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_1
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(superposition,[],[f1882,f954]) ).
fof(f1882,plain,
( ! [X10,X8] :
( sP0(inverse(X8))
| sP1(multiply(X8,inverse(X8)))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl30_1
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(backward_demodulation,[],[f338,f1881]) ).
fof(f338,plain,
( ! [X10,X8] :
( sP0(multiply(inverse(X8),sk_c11))
| sP1(multiply(X8,inverse(X8)))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl30_24 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl30_24
<=> ! [X8,X10] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sP1(multiply(X8,inverse(X8)))
| sP0(multiply(inverse(X8),sk_c11))
| inverse(X10) != multiply(X10,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_24])]) ).
fof(f1732,plain,
( spl30_67
| ~ spl30_1
| ~ spl30_13
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f1393,f1121,f248,f180,f967]) ).
fof(f967,plain,
( spl30_67
<=> sk_c12 = inverse(sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_67])]) ).
fof(f1393,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl30_1
| ~ spl30_13
| ~ spl30_73 ),
inference(backward_demodulation,[],[f935,f1392]) ).
fof(f1392,plain,
( sk_c12 = sk_c1
| ~ spl30_1
| ~ spl30_13
| ~ spl30_73 ),
inference(forward_demodulation,[],[f1260,f1249]) ).
fof(f1260,plain,
( sk_c12 = multiply(sk_c12,sk_c1)
| ~ spl30_1
| ~ spl30_13
| ~ spl30_73 ),
inference(backward_demodulation,[],[f936,f1248]) ).
fof(f936,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl30_13 ),
inference(backward_demodulation,[],[f355,f250]) ).
fof(f355,plain,
identity = multiply(sF25,sk_c1),
inference(superposition,[],[f2,f123]) ).
fof(f935,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl30_13 ),
inference(backward_demodulation,[],[f123,f250]) ).
fof(f1701,plain,
( spl30_76
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f1700,f1121,f248,f234,f180,f1147]) ).
fof(f1700,plain,
( sk_c11 = sk_c12
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_73 ),
inference(forward_demodulation,[],[f1211,f1661]) ).
fof(f1661,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_73 ),
inference(forward_demodulation,[],[f1656,f1655]) ).
fof(f1656,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c12,X0)) = X0
| ~ spl30_1
| ~ spl30_12
| ~ spl30_13
| ~ spl30_73 ),
inference(backward_demodulation,[],[f1247,f1655]) ).
fof(f1247,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl30_1
| ~ spl30_73 ),
inference(superposition,[],[f3,f1186]) ).
fof(f1211,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl30_12
| ~ spl30_13 ),
inference(forward_demodulation,[],[f1209,f935]) ).
fof(f1209,plain,
( sk_c12 = multiply(inverse(sk_c1),sk_c11)
| ~ spl30_12 ),
inference(superposition,[],[f373,f941]) ).
fof(f941,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| ~ spl30_12 ),
inference(backward_demodulation,[],[f112,f236]) ).
fof(f1652,plain,
( ~ spl30_1
| ~ spl30_23
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1651,plain,
( $false
| ~ spl30_1
| ~ spl30_23
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1650,f77]) ).
fof(f77,plain,
~ sP2(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1650,plain,
( sP2(sk_c11)
| ~ spl30_1
| ~ spl30_23
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1649,f954]) ).
fof(f1649,plain,
( sP2(inverse(sk_c11))
| ~ spl30_1
| ~ spl30_23
| ~ spl30_73
| ~ spl30_76 ),
inference(resolution,[],[f1648,f1173]) ).
fof(f1173,plain,
( ~ sP3(sk_c11)
| ~ spl30_73 ),
inference(backward_demodulation,[],[f78,f1122]) ).
fof(f78,plain,
~ sP3(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1648,plain,
( ! [X7] :
( sP3(X7)
| sP2(inverse(X7)) )
| ~ spl30_1
| ~ spl30_23
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f335,f1539]) ).
fof(f1539,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl30_1
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1537,f867]) ).
fof(f1537,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c11) = X0
| ~ spl30_1
| ~ spl30_73
| ~ spl30_76 ),
inference(superposition,[],[f373,f1459]) ).
fof(f1459,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl30_1
| ~ spl30_73
| ~ spl30_76 ),
inference(backward_demodulation,[],[f1250,f1148]) ).
fof(f335,plain,
( ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c11)) )
| ~ spl30_23 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl30_23
<=> ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_23])]) ).
fof(f1647,plain,
( ~ spl30_1
| ~ spl30_22
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(avatar_contradiction_clause,[],[f1646]) ).
fof(f1646,plain,
( $false
| ~ spl30_1
| ~ spl30_22
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1645,f1438]) ).
fof(f1438,plain,
( ~ sP4(sk_c11)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f79,f1148]) ).
fof(f79,plain,
~ sP4(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1645,plain,
( sP4(sk_c11)
| ~ spl30_1
| ~ spl30_22
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1644,f954]) ).
fof(f1644,plain,
( sP4(inverse(sk_c11))
| ~ spl30_1
| ~ spl30_22
| ~ spl30_73
| ~ spl30_76 ),
inference(resolution,[],[f1643,f80]) ).
fof(f80,plain,
~ sP5(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1643,plain,
( ! [X6] :
( sP5(X6)
| sP4(inverse(X6)) )
| ~ spl30_1
| ~ spl30_22
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1642,f1539]) ).
fof(f1642,plain,
( ! [X6] :
( sP5(multiply(X6,sk_c11))
| sP4(inverse(X6)) )
| ~ spl30_22
| ~ spl30_76 ),
inference(forward_demodulation,[],[f332,f1148]) ).
fof(f332,plain,
( ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c12)) )
| ~ spl30_22 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl30_22
<=> ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_22])]) ).
fof(f1641,plain,
( ~ spl30_1
| ~ spl30_19
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f1640,plain,
( $false
| ~ spl30_1
| ~ spl30_19
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1639,f1440]) ).
fof(f1440,plain,
( ~ sP10(sk_c11)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f85,f1148]) ).
fof(f85,plain,
~ sP10(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1639,plain,
( sP10(sk_c11)
| ~ spl30_1
| ~ spl30_19
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1638,f954]) ).
fof(f1638,plain,
( sP10(inverse(sk_c11))
| ~ spl30_1
| ~ spl30_19
| ~ spl30_73
| ~ spl30_76 ),
inference(resolution,[],[f1637,f86]) ).
fof(f86,plain,
~ sP11(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1637,plain,
( ! [X3] :
( sP11(X3)
| sP10(inverse(X3)) )
| ~ spl30_1
| ~ spl30_19
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1636,f1539]) ).
fof(f1636,plain,
( ! [X3] :
( sP11(multiply(X3,sk_c11))
| sP10(inverse(X3)) )
| ~ spl30_19
| ~ spl30_76 ),
inference(forward_demodulation,[],[f323,f1148]) ).
fof(f323,plain,
( ! [X3] :
( sP10(inverse(X3))
| sP11(multiply(X3,sk_c12)) )
| ~ spl30_19 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl30_19
<=> ! [X3] :
( sP10(inverse(X3))
| sP11(multiply(X3,sk_c12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_19])]) ).
fof(f1635,plain,
( ~ spl30_1
| ~ spl30_21
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| ~ spl30_1
| ~ spl30_21
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1633,f81]) ).
fof(f81,plain,
~ sP6(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1633,plain,
( sP6(sk_c11)
| ~ spl30_1
| ~ spl30_21
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1632,f954]) ).
fof(f1632,plain,
( sP6(inverse(sk_c11))
| ~ spl30_1
| ~ spl30_21
| ~ spl30_73
| ~ spl30_76 ),
inference(resolution,[],[f1631,f1439]) ).
fof(f1439,plain,
( ~ sP7(sk_c11)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f82,f1148]) ).
fof(f82,plain,
~ sP7(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1631,plain,
( ! [X5] :
( sP7(X5)
| sP6(inverse(X5)) )
| ~ spl30_1
| ~ spl30_21
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f329,f1539]) ).
fof(f329,plain,
( ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(X5,sk_c11)) )
| ~ spl30_21 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl30_21
<=> ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(X5,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_21])]) ).
fof(f1630,plain,
( ~ spl30_1
| ~ spl30_20
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1629,plain,
( $false
| ~ spl30_1
| ~ spl30_20
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1628,f83]) ).
fof(f83,plain,
~ sP8(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1628,plain,
( sP8(sk_c11)
| ~ spl30_1
| ~ spl30_20
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1627,f954]) ).
fof(f1627,plain,
( sP8(inverse(sk_c11))
| ~ spl30_1
| ~ spl30_20
| ~ spl30_73
| ~ spl30_76 ),
inference(resolution,[],[f1625,f1174]) ).
fof(f1174,plain,
( ~ sP9(sk_c11)
| ~ spl30_73 ),
inference(backward_demodulation,[],[f84,f1122]) ).
fof(f84,plain,
~ sP9(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1625,plain,
( ! [X4] :
( sP9(X4)
| sP8(inverse(X4)) )
| ~ spl30_1
| ~ spl30_20
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f326,f1539]) ).
fof(f326,plain,
( ! [X4] :
( sP8(inverse(X4))
| sP9(multiply(X4,sk_c11)) )
| ~ spl30_20 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl30_20
<=> ! [X4] :
( sP8(inverse(X4))
| sP9(multiply(X4,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_20])]) ).
fof(f1624,plain,
( ~ spl30_1
| ~ spl30_18
| ~ spl30_73 ),
inference(avatar_contradiction_clause,[],[f1623]) ).
fof(f1623,plain,
( $false
| ~ spl30_1
| ~ spl30_18
| ~ spl30_73 ),
inference(subsumption_resolution,[],[f1622,f1621]) ).
fof(f1621,plain,
( ~ sP12(sk_c11)
| ~ spl30_1
| ~ spl30_73 ),
inference(forward_demodulation,[],[f943,f1122]) ).
fof(f943,plain,
( ~ sP12(sk_c10)
| ~ spl30_1 ),
inference(backward_demodulation,[],[f178,f182]) ).
fof(f178,plain,
~ sP12(sF14),
inference(definition_folding,[],[f87,f92]) ).
fof(f87,plain,
~ sP12(multiply(sk_c11,sk_c12)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1622,plain,
( sP12(sk_c11)
| ~ spl30_18
| ~ spl30_73 ),
inference(forward_demodulation,[],[f320,f1122]) ).
fof(f320,plain,
( sP12(sk_c10)
| ~ spl30_18 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl30_18
<=> sP12(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_18])]) ).
fof(f1614,plain,
( ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(avatar_contradiction_clause,[],[f1613]) ).
fof(f1613,plain,
( $false
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(trivial_inequality_removal,[],[f1612]) ).
fof(f1612,plain,
( sk_c11 != sk_c11
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(duplicate_literal_removal,[],[f1609]) ).
fof(f1609,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_65
| ~ spl30_73
| ~ spl30_76 ),
inference(superposition,[],[f1543,f954]) ).
fof(f1543,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != X0 )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1540,f1539]) ).
fof(f1540,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(backward_demodulation,[],[f1507,f1539]) ).
fof(f1507,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1506,f1444]) ).
fof(f1444,plain,
( sk_c11 = sF25
| ~ spl30_13
| ~ spl30_76 ),
inference(backward_demodulation,[],[f250,f1148]) ).
fof(f1506,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1505,f1444]) ).
fof(f1505,plain,
( ! [X0] :
( sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1504,f1437]) ).
fof(f1437,plain,
( ~ sP1(sk_c11)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f76,f1148]) ).
fof(f1504,plain,
( ! [X0] :
( sP1(sk_c11)
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1503,f1283]) ).
fof(f1283,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_73 ),
inference(forward_demodulation,[],[f1275,f1249]) ).
fof(f1275,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_73 ),
inference(backward_demodulation,[],[f386,f1249]) ).
fof(f386,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl30_2
| ~ spl30_3 ),
inference(superposition,[],[f3,f383]) ).
fof(f383,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl30_2
| ~ spl30_3 ),
inference(superposition,[],[f374,f349]) ).
fof(f349,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl30_2 ),
inference(backward_demodulation,[],[f91,f186]) ).
fof(f186,plain,
( sk_c11 = sF13
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl30_2
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
fof(f91,plain,
multiply(sk_c4,sk_c12) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f374,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
| ~ spl30_3 ),
inference(forward_demodulation,[],[f362,f1]) ).
fof(f362,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl30_3 ),
inference(superposition,[],[f3,f350]) ).
fof(f350,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl30_3 ),
inference(superposition,[],[f2,f348]) ).
fof(f348,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl30_3 ),
inference(backward_demodulation,[],[f94,f191]) ).
fof(f191,plain,
( sk_c12 = sF15
| ~ spl30_3 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl30_3
<=> sk_c12 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).
fof(f94,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1503,plain,
( ! [X0] :
( sP1(multiply(sk_c11,sk_c11))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1502,f1476]) ).
fof(f1476,plain,
( sk_c11 = sk_c1
| ~ spl30_1
| ~ spl30_13
| ~ spl30_73
| ~ spl30_76 ),
inference(backward_demodulation,[],[f1392,f1148]) ).
fof(f1502,plain,
( ! [X0] :
( sP1(multiply(sk_c1,sk_c11))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1501,f1444]) ).
fof(f1501,plain,
( ! [X0] :
( sP1(multiply(sk_c1,sF25))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(subsumption_resolution,[],[f1500,f1436]) ).
fof(f1436,plain,
( ~ sP0(sk_c11)
| ~ spl30_76 ),
inference(backward_demodulation,[],[f75,f1148]) ).
fof(f1500,plain,
( ! [X0] :
( sP0(sk_c11)
| sP1(multiply(sk_c1,sF25))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_13
| ~ spl30_24
| ~ spl30_73
| ~ spl30_76 ),
inference(forward_demodulation,[],[f1499,f1283]) ).
fof(f1499,plain,
( ! [X0] :
( sP0(multiply(sk_c11,sk_c11))
| sP1(multiply(sk_c1,sF25))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_13
| ~ spl30_24
| ~ spl30_76 ),
inference(forward_demodulation,[],[f806,f1444]) ).
fof(f806,plain,
( ! [X0] :
( sP0(multiply(sF25,sk_c11))
| sP1(multiply(sk_c1,sF25))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl30_24 ),
inference(superposition,[],[f338,f123]) ).
fof(f1508,plain,
( spl30_65
| ~ spl30_67
| ~ spl30_76 ),
inference(avatar_split_clause,[],[f1496,f1147,f967,f953]) ).
fof(f1496,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl30_67
| ~ spl30_76 ),
inference(forward_demodulation,[],[f968,f1148]) ).
fof(f968,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl30_67 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f1343,plain,
( ~ spl30_1
| ~ spl30_3
| spl30_67
| ~ spl30_73 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| ~ spl30_1
| ~ spl30_3
| spl30_67
| ~ spl30_73 ),
inference(subsumption_resolution,[],[f1336,f969]) ).
fof(f969,plain,
( sk_c12 != inverse(sk_c12)
| spl30_67 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f1336,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl30_1
| ~ spl30_3
| ~ spl30_73 ),
inference(backward_demodulation,[],[f348,f1335]) ).
fof(f1335,plain,
( sk_c12 = sk_c4
| ~ spl30_1
| ~ spl30_3
| ~ spl30_73 ),
inference(forward_demodulation,[],[f1251,f1249]) ).
fof(f1251,plain,
( sk_c12 = multiply(sk_c12,sk_c4)
| ~ spl30_1
| ~ spl30_3
| ~ spl30_73 ),
inference(backward_demodulation,[],[f350,f1248]) ).
fof(f1332,plain,
( spl30_76
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_73 ),
inference(avatar_split_clause,[],[f1280,f1121,f189,f184,f180,f1147]) ).
fof(f1280,plain,
( sk_c11 = sk_c12
| ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_73 ),
inference(backward_demodulation,[],[f383,f1249]) ).
fof(f1172,plain,
( spl30_73
| ~ spl30_1
| ~ spl30_16
| ~ spl30_17 ),
inference(avatar_split_clause,[],[f1171,f304,f290,f180,f1121]) ).
fof(f290,plain,
( spl30_16
<=> sk_c12 = sF28 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_16])]) ).
fof(f304,plain,
( spl30_17
<=> sk_c11 = sF29 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_17])]) ).
fof(f1171,plain,
( sk_c11 = sk_c10
| ~ spl30_1
| ~ spl30_16
| ~ spl30_17 ),
inference(forward_demodulation,[],[f1170,f944]) ).
fof(f1170,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl30_16
| ~ spl30_17 ),
inference(forward_demodulation,[],[f1168,f924]) ).
fof(f924,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl30_17 ),
inference(backward_demodulation,[],[f167,f306]) ).
fof(f306,plain,
( sk_c11 = sF29
| ~ spl30_17 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f167,plain,
inverse(sk_c3) = sF29,
introduced(function_definition,[new_symbols(definition,[sF29])]) ).
fof(f1168,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c12)
| ~ spl30_16 ),
inference(superposition,[],[f373,f927]) ).
fof(f927,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl30_16 ),
inference(backward_demodulation,[],[f156,f292]) ).
fof(f292,plain,
( sk_c12 = sF28
| ~ spl30_16 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f156,plain,
multiply(sk_c3,sk_c11) = sF28,
introduced(function_definition,[new_symbols(definition,[sF28])]) ).
fof(f915,plain,
( ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(trivial_inequality_removal,[],[f913]) ).
fof(f913,plain,
( sk_c11 != sk_c11
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(duplicate_literal_removal,[],[f911]) ).
fof(f911,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(superposition,[],[f890,f522]) ).
fof(f522,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f495,f514]) ).
fof(f514,plain,
( sk_c11 = sk_c9
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(forward_demodulation,[],[f484,f483]) ).
fof(f483,plain,
( sk_c11 = sk_c12
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f343,f458]) ).
fof(f458,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f438,f451]) ).
fof(f451,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(forward_demodulation,[],[f440,f435]) ).
fof(f435,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(forward_demodulation,[],[f433,f412]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f380,f409]) ).
fof(f409,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
| ~ spl30_9
| ~ spl30_10 ),
inference(superposition,[],[f382,f380]) ).
fof(f382,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
| ~ spl30_10 ),
inference(forward_demodulation,[],[f381,f1]) ).
fof(f381,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| ~ spl30_10 ),
inference(superposition,[],[f3,f354]) ).
fof(f354,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl30_10 ),
inference(superposition,[],[f2,f341]) ).
fof(f341,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl30_10 ),
inference(backward_demodulation,[],[f108,f226]) ).
fof(f226,plain,
( sk_c9 = sF22
| ~ spl30_10 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl30_10
<=> sk_c9 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_10])]) ).
fof(f108,plain,
inverse(sk_c7) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f380,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl30_9 ),
inference(forward_demodulation,[],[f379,f1]) ).
fof(f379,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl30_9 ),
inference(superposition,[],[f3,f353]) ).
fof(f353,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl30_9 ),
inference(superposition,[],[f2,f342]) ).
fof(f342,plain,
( inverse(sk_c8) = sk_c7
| ~ spl30_9 ),
inference(backward_demodulation,[],[f106,f221]) ).
fof(f221,plain,
( sk_c7 = sF21
| ~ spl30_9 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl30_9
<=> sk_c7 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_9])]) ).
fof(f106,plain,
inverse(sk_c8) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f433,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f365,f425]) ).
fof(f425,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(superposition,[],[f412,f378]) ).
fof(f378,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl30_7 ),
inference(forward_demodulation,[],[f377,f1]) ).
fof(f377,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl30_7 ),
inference(superposition,[],[f3,f352]) ).
fof(f352,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl30_7 ),
inference(superposition,[],[f2,f344]) ).
fof(f344,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl30_7 ),
inference(backward_demodulation,[],[f102,f211]) ).
fof(f211,plain,
( sk_c9 = sF19
| ~ spl30_7 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl30_7
<=> sk_c9 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_7])]) ).
fof(f102,plain,
inverse(sk_c6) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f365,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl30_6 ),
inference(superposition,[],[f3,f345]) ).
fof(f345,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl30_6 ),
inference(backward_demodulation,[],[f100,f206]) ).
fof(f206,plain,
( sk_c12 = sF18
| ~ spl30_6 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl30_6
<=> sk_c12 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_6])]) ).
fof(f100,plain,
multiply(sk_c6,sk_c9) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f440,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f386,f435]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c11,X0)) = X0
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f366,f435]) ).
fof(f366,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,multiply(sk_c11,X0))
| ~ spl30_8 ),
inference(superposition,[],[f3,f343]) ).
fof(f343,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl30_8 ),
inference(backward_demodulation,[],[f104,f216]) ).
fof(f216,plain,
( sk_c12 = sF20
| ~ spl30_8 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl30_8
<=> sk_c12 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_8])]) ).
fof(f104,plain,
multiply(sk_c9,sk_c11) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f484,plain,
( sk_c12 = sk_c9
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f391,f458]) ).
fof(f391,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl30_6
| ~ spl30_7 ),
inference(superposition,[],[f378,f345]) ).
fof(f495,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f341,f491]) ).
fof(f491,plain,
( sk_c9 = sk_c7
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f395,f488]) ).
fof(f488,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(forward_demodulation,[],[f477,f458]) ).
fof(f477,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,X0)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f413,f458]) ).
fof(f413,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f367,f409]) ).
fof(f367,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
| ~ spl30_11 ),
inference(superposition,[],[f3,f340]) ).
fof(f340,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl30_11 ),
inference(backward_demodulation,[],[f110,f231]) ).
fof(f231,plain,
( sk_c7 = sF23
| ~ spl30_11 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl30_11
<=> sk_c7 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_11])]) ).
fof(f110,plain,
multiply(sk_c8,sk_c9) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f395,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl30_9
| ~ spl30_11 ),
inference(superposition,[],[f380,f340]) ).
fof(f890,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != X0 )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(forward_demodulation,[],[f888,f887]) ).
fof(f887,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f866,f867]) ).
fof(f866,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c11) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(superposition,[],[f373,f529]) ).
fof(f529,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f2,f527]) ).
fof(f527,plain,
( identity = sk_c11
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(forward_demodulation,[],[f487,f519]) ).
fof(f519,plain,
( sk_c11 = sk_c7
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11 ),
inference(backward_demodulation,[],[f491,f514]) ).
fof(f487,plain,
( identity = sk_c7
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f354,f458]) ).
fof(f888,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(backward_demodulation,[],[f813,f887]) ).
fof(f813,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(subsumption_resolution,[],[f812,f504]) ).
fof(f504,plain,
( ~ sP1(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f76,f483]) ).
fof(f812,plain,
( ! [X0] :
( sP1(sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(forward_demodulation,[],[f811,f451]) ).
fof(f811,plain,
( ! [X0] :
( sP1(multiply(sk_c11,sk_c11))
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(subsumption_resolution,[],[f810,f503]) ).
fof(f503,plain,
( ~ sP0(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f75,f483]) ).
fof(f810,plain,
( ! [X0] :
( sP0(sk_c11)
| sP1(multiply(sk_c11,sk_c11))
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(forward_demodulation,[],[f805,f451]) ).
fof(f805,plain,
( ! [X0] :
( sP0(multiply(sk_c11,sk_c11))
| sP1(multiply(sk_c11,sk_c11))
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_24 ),
inference(superposition,[],[f338,f522]) ).
fof(f757,plain,
( ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_23 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f756,plain,
( $false
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_23 ),
inference(subsumption_resolution,[],[f755,f470]) ).
fof(f470,plain,
( ~ sP3(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f78,f469]) ).
fof(f469,plain,
( sk_c11 = sk_c10
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f464,f467]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(forward_demodulation,[],[f455,f451]) ).
fof(f455,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f390,f451]) ).
fof(f390,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl30_4
| ~ spl30_5 ),
inference(superposition,[],[f3,f387]) ).
fof(f387,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl30_4
| ~ spl30_5 ),
inference(superposition,[],[f376,f347]) ).
fof(f347,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl30_4 ),
inference(backward_demodulation,[],[f96,f196]) ).
fof(f196,plain,
( sk_c10 = sF16
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl30_4
<=> sk_c10 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_4])]) ).
fof(f96,plain,
multiply(sk_c5,sk_c11) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f376,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl30_5 ),
inference(forward_demodulation,[],[f375,f1]) ).
fof(f375,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl30_5 ),
inference(superposition,[],[f3,f351]) ).
fof(f351,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl30_5 ),
inference(superposition,[],[f2,f346]) ).
fof(f346,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl30_5 ),
inference(backward_demodulation,[],[f98,f201]) ).
fof(f201,plain,
( sk_c11 = sF17
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl30_5
<=> sk_c11 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).
fof(f98,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f464,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f347,f452]) ).
fof(f452,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,X0)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f364,f451]) ).
fof(f364,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl30_4 ),
inference(superposition,[],[f3,f347]) ).
fof(f755,plain,
( sP3(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_23 ),
inference(forward_demodulation,[],[f754,f451]) ).
fof(f754,plain,
( sP3(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_23 ),
inference(subsumption_resolution,[],[f750,f77]) ).
fof(f750,plain,
( sP2(sk_c11)
| sP3(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_23 ),
inference(superposition,[],[f335,f522]) ).
fof(f716,plain,
( ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_22 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_22 ),
inference(subsumption_resolution,[],[f714,f80]) ).
fof(f714,plain,
( sP5(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_22 ),
inference(forward_demodulation,[],[f713,f451]) ).
fof(f713,plain,
( sP5(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_22 ),
inference(subsumption_resolution,[],[f709,f505]) ).
fof(f505,plain,
( ~ sP4(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f79,f483]) ).
fof(f709,plain,
( sP4(sk_c11)
| sP5(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_22 ),
inference(superposition,[],[f708,f522]) ).
fof(f708,plain,
( ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c11)) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_22 ),
inference(forward_demodulation,[],[f332,f483]) ).
fof(f674,plain,
( ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_21 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_21 ),
inference(subsumption_resolution,[],[f672,f506]) ).
fof(f506,plain,
( ~ sP7(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f82,f483]) ).
fof(f672,plain,
( sP7(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_21 ),
inference(forward_demodulation,[],[f671,f451]) ).
fof(f671,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_21 ),
inference(subsumption_resolution,[],[f667,f81]) ).
fof(f667,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_21 ),
inference(superposition,[],[f329,f522]) ).
fof(f633,plain,
( ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_20 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_20 ),
inference(subsumption_resolution,[],[f631,f471]) ).
fof(f471,plain,
( ~ sP9(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f84,f469]) ).
fof(f631,plain,
( sP9(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_20 ),
inference(forward_demodulation,[],[f630,f451]) ).
fof(f630,plain,
( sP9(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_20 ),
inference(subsumption_resolution,[],[f626,f83]) ).
fof(f626,plain,
( sP8(sk_c11)
| sP9(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_20 ),
inference(superposition,[],[f326,f522]) ).
fof(f585,plain,
( ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_19 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f584,plain,
( $false
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_19 ),
inference(subsumption_resolution,[],[f583,f86]) ).
fof(f583,plain,
( sP11(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_19 ),
inference(forward_demodulation,[],[f582,f451]) ).
fof(f582,plain,
( sP11(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_19 ),
inference(subsumption_resolution,[],[f578,f507]) ).
fof(f507,plain,
( ~ sP10(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f85,f483]) ).
fof(f578,plain,
( sP10(sk_c11)
| sP11(multiply(sk_c11,sk_c11))
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_19 ),
inference(superposition,[],[f564,f522]) ).
fof(f564,plain,
( ! [X3] :
( sP10(inverse(X3))
| sP11(multiply(X3,sk_c11)) )
| ~ spl30_2
| ~ spl30_3
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_19 ),
inference(forward_demodulation,[],[f323,f483]) ).
fof(f476,plain,
( ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10
| ~ spl30_18 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10
| ~ spl30_18 ),
inference(subsumption_resolution,[],[f473,f448]) ).
fof(f448,plain,
( ~ sP12(sk_c11)
| ~ spl30_2
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f178,f447]) ).
fof(f447,plain,
( sk_c11 = sF14
| ~ spl30_2
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(forward_demodulation,[],[f446,f92]) ).
fof(f446,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl30_2
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f349,f437]) ).
fof(f437,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c11,X0)
| ~ spl30_2
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10 ),
inference(backward_demodulation,[],[f363,f435]) ).
fof(f363,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl30_2 ),
inference(superposition,[],[f3,f349]) ).
fof(f473,plain,
( sP12(sk_c11)
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_9
| ~ spl30_10
| ~ spl30_18 ),
inference(backward_demodulation,[],[f320,f469]) ).
fof(f339,plain,
( spl30_18
| spl30_19
| spl30_20
| spl30_21
| spl30_22
| spl30_23
| spl30_24 ),
inference(avatar_split_clause,[],[f90,f337,f334,f331,f328,f325,f322,f318]) ).
fof(f90,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sP0(multiply(inverse(X8),sk_c11))
| sP1(multiply(X8,inverse(X8)))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c11))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c12))
| sP6(inverse(X5))
| sP7(multiply(X5,sk_c11))
| sP8(inverse(X4))
| sP9(multiply(X4,sk_c11))
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c12))
| sP12(sk_c10) ),
inference(equality_resolution,[],[f89]) ).
fof(f89,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( inverse(multiply(X10,X9)) != X9
| inverse(X10) != multiply(X10,X9)
| sP0(multiply(X9,sk_c11))
| inverse(X8) != X9
| sP1(multiply(X8,X9))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c11))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c12))
| sP6(inverse(X5))
| sP7(multiply(X5,sk_c11))
| sP8(inverse(X4))
| sP9(multiply(X4,sk_c11))
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c12))
| sP12(sk_c10) ),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( multiply(X10,X9) != X11
| inverse(X11) != X9
| inverse(X10) != X11
| sP0(multiply(X9,sk_c11))
| inverse(X8) != X9
| sP1(multiply(X8,X9))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c11))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c12))
| sP6(inverse(X5))
| sP7(multiply(X5,sk_c11))
| sP8(inverse(X4))
| sP9(multiply(X4,sk_c11))
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c12))
| sP12(sk_c10) ),
inference(inequality_splitting,[],[f74,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75]) ).
fof(f74,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( multiply(X10,X9) != X11
| inverse(X11) != X9
| inverse(X10) != X11
| sk_c12 != multiply(X9,sk_c11)
| inverse(X8) != X9
| sk_c12 != multiply(X8,X9)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| multiply(sk_c11,sk_c12) != sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_71) ).
fof(f316,plain,
( spl30_17
| spl30_11 ),
inference(avatar_split_clause,[],[f177,f229,f304]) ).
fof(f177,plain,
( sk_c7 = sF23
| sk_c11 = sF29 ),
inference(definition_folding,[],[f73,f167,f110]) ).
fof(f73,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_70) ).
fof(f315,plain,
( spl30_17
| spl30_10 ),
inference(avatar_split_clause,[],[f176,f224,f304]) ).
fof(f176,plain,
( sk_c9 = sF22
| sk_c11 = sF29 ),
inference(definition_folding,[],[f72,f167,f108]) ).
fof(f72,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_69) ).
fof(f314,plain,
( spl30_17
| spl30_9 ),
inference(avatar_split_clause,[],[f175,f219,f304]) ).
fof(f175,plain,
( sk_c7 = sF21
| sk_c11 = sF29 ),
inference(definition_folding,[],[f71,f167,f106]) ).
fof(f71,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_68) ).
fof(f313,plain,
( spl30_17
| spl30_8 ),
inference(avatar_split_clause,[],[f174,f214,f304]) ).
fof(f174,plain,
( sk_c12 = sF20
| sk_c11 = sF29 ),
inference(definition_folding,[],[f70,f167,f104]) ).
fof(f70,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_67) ).
fof(f312,plain,
( spl30_17
| spl30_7 ),
inference(avatar_split_clause,[],[f173,f209,f304]) ).
fof(f173,plain,
( sk_c9 = sF19
| sk_c11 = sF29 ),
inference(definition_folding,[],[f69,f167,f102]) ).
fof(f69,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_66) ).
fof(f311,plain,
( spl30_17
| spl30_6 ),
inference(avatar_split_clause,[],[f172,f204,f304]) ).
fof(f172,plain,
( sk_c12 = sF18
| sk_c11 = sF29 ),
inference(definition_folding,[],[f68,f167,f100]) ).
fof(f68,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_65) ).
fof(f310,plain,
( spl30_17
| spl30_5 ),
inference(avatar_split_clause,[],[f171,f199,f304]) ).
fof(f171,plain,
( sk_c11 = sF17
| sk_c11 = sF29 ),
inference(definition_folding,[],[f67,f167,f98]) ).
fof(f67,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_64) ).
fof(f309,plain,
( spl30_17
| spl30_4 ),
inference(avatar_split_clause,[],[f170,f194,f304]) ).
fof(f170,plain,
( sk_c10 = sF16
| sk_c11 = sF29 ),
inference(definition_folding,[],[f66,f167,f96]) ).
fof(f66,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_63) ).
fof(f308,plain,
( spl30_17
| spl30_3 ),
inference(avatar_split_clause,[],[f169,f189,f304]) ).
fof(f169,plain,
( sk_c12 = sF15
| sk_c11 = sF29 ),
inference(definition_folding,[],[f65,f167,f94]) ).
fof(f65,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_62) ).
fof(f307,plain,
( spl30_17
| spl30_2 ),
inference(avatar_split_clause,[],[f168,f184,f304]) ).
fof(f168,plain,
( sk_c11 = sF13
| sk_c11 = sF29 ),
inference(definition_folding,[],[f64,f167,f91]) ).
fof(f64,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_61) ).
fof(f302,plain,
( spl30_16
| spl30_11 ),
inference(avatar_split_clause,[],[f166,f229,f290]) ).
fof(f166,plain,
( sk_c7 = sF23
| sk_c12 = sF28 ),
inference(definition_folding,[],[f63,f156,f110]) ).
fof(f63,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_60) ).
fof(f301,plain,
( spl30_16
| spl30_10 ),
inference(avatar_split_clause,[],[f165,f224,f290]) ).
fof(f165,plain,
( sk_c9 = sF22
| sk_c12 = sF28 ),
inference(definition_folding,[],[f62,f156,f108]) ).
fof(f62,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_59) ).
fof(f300,plain,
( spl30_16
| spl30_9 ),
inference(avatar_split_clause,[],[f164,f219,f290]) ).
fof(f164,plain,
( sk_c7 = sF21
| sk_c12 = sF28 ),
inference(definition_folding,[],[f61,f156,f106]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_58) ).
fof(f299,plain,
( spl30_16
| spl30_8 ),
inference(avatar_split_clause,[],[f163,f214,f290]) ).
fof(f163,plain,
( sk_c12 = sF20
| sk_c12 = sF28 ),
inference(definition_folding,[],[f60,f156,f104]) ).
fof(f60,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_57) ).
fof(f298,plain,
( spl30_16
| spl30_7 ),
inference(avatar_split_clause,[],[f162,f209,f290]) ).
fof(f162,plain,
( sk_c9 = sF19
| sk_c12 = sF28 ),
inference(definition_folding,[],[f59,f156,f102]) ).
fof(f59,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_56) ).
fof(f297,plain,
( spl30_16
| spl30_6 ),
inference(avatar_split_clause,[],[f161,f204,f290]) ).
fof(f161,plain,
( sk_c12 = sF18
| sk_c12 = sF28 ),
inference(definition_folding,[],[f58,f156,f100]) ).
fof(f58,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_55) ).
fof(f296,plain,
( spl30_16
| spl30_5 ),
inference(avatar_split_clause,[],[f160,f199,f290]) ).
fof(f160,plain,
( sk_c11 = sF17
| sk_c12 = sF28 ),
inference(definition_folding,[],[f57,f156,f98]) ).
fof(f57,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_54) ).
fof(f295,plain,
( spl30_16
| spl30_4 ),
inference(avatar_split_clause,[],[f159,f194,f290]) ).
fof(f159,plain,
( sk_c10 = sF16
| sk_c12 = sF28 ),
inference(definition_folding,[],[f56,f156,f96]) ).
fof(f56,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_53) ).
fof(f294,plain,
( spl30_16
| spl30_3 ),
inference(avatar_split_clause,[],[f158,f189,f290]) ).
fof(f158,plain,
( sk_c12 = sF15
| sk_c12 = sF28 ),
inference(definition_folding,[],[f55,f156,f94]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_52) ).
fof(f293,plain,
( spl30_16
| spl30_2 ),
inference(avatar_split_clause,[],[f157,f184,f290]) ).
fof(f157,plain,
( sk_c11 = sF13
| sk_c12 = sF28 ),
inference(definition_folding,[],[f54,f156,f91]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_51) ).
fof(f260,plain,
( spl30_13
| spl30_11 ),
inference(avatar_split_clause,[],[f133,f229,f248]) ).
fof(f133,plain,
( sk_c7 = sF23
| sk_c12 = sF25 ),
inference(definition_folding,[],[f33,f123,f110]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_30) ).
fof(f259,plain,
( spl30_13
| spl30_10 ),
inference(avatar_split_clause,[],[f132,f224,f248]) ).
fof(f132,plain,
( sk_c9 = sF22
| sk_c12 = sF25 ),
inference(definition_folding,[],[f32,f123,f108]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_29) ).
fof(f258,plain,
( spl30_13
| spl30_9 ),
inference(avatar_split_clause,[],[f131,f219,f248]) ).
fof(f131,plain,
( sk_c7 = sF21
| sk_c12 = sF25 ),
inference(definition_folding,[],[f31,f123,f106]) ).
fof(f31,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_28) ).
fof(f257,plain,
( spl30_13
| spl30_8 ),
inference(avatar_split_clause,[],[f130,f214,f248]) ).
fof(f130,plain,
( sk_c12 = sF20
| sk_c12 = sF25 ),
inference(definition_folding,[],[f30,f123,f104]) ).
fof(f30,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_27) ).
fof(f256,plain,
( spl30_13
| spl30_7 ),
inference(avatar_split_clause,[],[f129,f209,f248]) ).
fof(f129,plain,
( sk_c9 = sF19
| sk_c12 = sF25 ),
inference(definition_folding,[],[f29,f123,f102]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_26) ).
fof(f255,plain,
( spl30_13
| spl30_6 ),
inference(avatar_split_clause,[],[f128,f204,f248]) ).
fof(f128,plain,
( sk_c12 = sF18
| sk_c12 = sF25 ),
inference(definition_folding,[],[f28,f123,f100]) ).
fof(f28,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_25) ).
fof(f252,plain,
( spl30_13
| spl30_3 ),
inference(avatar_split_clause,[],[f125,f189,f248]) ).
fof(f125,plain,
( sk_c12 = sF15
| sk_c12 = sF25 ),
inference(definition_folding,[],[f25,f123,f94]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_22) ).
fof(f251,plain,
( spl30_13
| spl30_2 ),
inference(avatar_split_clause,[],[f124,f184,f248]) ).
fof(f124,plain,
( sk_c11 = sF13
| sk_c12 = sF25 ),
inference(definition_folding,[],[f24,f123,f91]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_21) ).
fof(f245,plain,
( spl30_12
| spl30_10 ),
inference(avatar_split_clause,[],[f121,f224,f234]) ).
fof(f121,plain,
( sk_c9 = sF22
| sk_c11 = sF24 ),
inference(definition_folding,[],[f22,f112,f108]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = multiply(sk_c1,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_19) ).
fof(f238,plain,
( spl30_12
| spl30_3 ),
inference(avatar_split_clause,[],[f114,f189,f234]) ).
fof(f114,plain,
( sk_c12 = sF15
| sk_c11 = sF24 ),
inference(definition_folding,[],[f15,f112,f94]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_12) ).
fof(f237,plain,
( spl30_12
| spl30_2 ),
inference(avatar_split_clause,[],[f113,f184,f234]) ).
fof(f113,plain,
( sk_c11 = sF13
| sk_c11 = sF24 ),
inference(definition_folding,[],[f14,f112,f91]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = multiply(sk_c1,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_11) ).
fof(f232,plain,
( spl30_1
| spl30_11 ),
inference(avatar_split_clause,[],[f111,f229,f180]) ).
fof(f111,plain,
( sk_c7 = sF23
| sk_c10 = sF14 ),
inference(definition_folding,[],[f13,f92,f110]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_10) ).
fof(f227,plain,
( spl30_1
| spl30_10 ),
inference(avatar_split_clause,[],[f109,f224,f180]) ).
fof(f109,plain,
( sk_c9 = sF22
| sk_c10 = sF14 ),
inference(definition_folding,[],[f12,f92,f108]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c7)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_9) ).
fof(f222,plain,
( spl30_1
| spl30_9 ),
inference(avatar_split_clause,[],[f107,f219,f180]) ).
fof(f107,plain,
( sk_c7 = sF21
| sk_c10 = sF14 ),
inference(definition_folding,[],[f11,f92,f106]) ).
fof(f11,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_8) ).
fof(f217,plain,
( spl30_1
| spl30_8 ),
inference(avatar_split_clause,[],[f105,f214,f180]) ).
fof(f105,plain,
( sk_c12 = sF20
| sk_c10 = sF14 ),
inference(definition_folding,[],[f10,f92,f104]) ).
fof(f10,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_7) ).
fof(f212,plain,
( spl30_1
| spl30_7 ),
inference(avatar_split_clause,[],[f103,f209,f180]) ).
fof(f103,plain,
( sk_c9 = sF19
| sk_c10 = sF14 ),
inference(definition_folding,[],[f9,f92,f102]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_6) ).
fof(f207,plain,
( spl30_1
| spl30_6 ),
inference(avatar_split_clause,[],[f101,f204,f180]) ).
fof(f101,plain,
( sk_c12 = sF18
| sk_c10 = sF14 ),
inference(definition_folding,[],[f8,f92,f100]) ).
fof(f8,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_5) ).
fof(f202,plain,
( spl30_1
| spl30_5 ),
inference(avatar_split_clause,[],[f99,f199,f180]) ).
fof(f99,plain,
( sk_c11 = sF17
| sk_c10 = sF14 ),
inference(definition_folding,[],[f7,f92,f98]) ).
fof(f7,axiom,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_4) ).
fof(f197,plain,
( spl30_1
| spl30_4 ),
inference(avatar_split_clause,[],[f97,f194,f180]) ).
fof(f97,plain,
( sk_c10 = sF16
| sk_c10 = sF14 ),
inference(definition_folding,[],[f6,f92,f96]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_3) ).
fof(f192,plain,
( spl30_1
| spl30_3 ),
inference(avatar_split_clause,[],[f95,f189,f180]) ).
fof(f95,plain,
( sk_c12 = sF15
| sk_c10 = sF14 ),
inference(definition_folding,[],[f5,f92,f94]) ).
fof(f5,axiom,
( sk_c12 = inverse(sk_c4)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_2) ).
fof(f187,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f93,f184,f180]) ).
fof(f93,plain,
( sk_c11 = sF13
| sk_c10 = sF14 ),
inference(definition_folding,[],[f4,f92,f91]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP312-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:42:30 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.89mKrO3LWA/Vampire---4.8_15547
% 0.56/0.75 % (15809)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.75 % (15810)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.75 % (15803)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (15805)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (15804)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.75 % (15806)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75 % (15807)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (15808)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75 % (15810)Refutation not found, incomplete strategy% (15810)------------------------------
% 0.56/0.75 % (15810)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15810)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (15810)Memory used [KB]: 1095
% 0.56/0.75 % (15810)Time elapsed: 0.005 s
% 0.56/0.75 % (15810)Instructions burned: 6 (million)
% 0.56/0.75 % (15810)------------------------------
% 0.56/0.75 % (15810)------------------------------
% 0.56/0.75 % (15803)Refutation not found, incomplete strategy% (15803)------------------------------
% 0.56/0.75 % (15803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15803)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (15806)Refutation not found, incomplete strategy% (15806)------------------------------
% 0.56/0.75 % (15806)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15806)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (15806)Memory used [KB]: 1024
% 0.56/0.75 % (15806)Time elapsed: 0.004 s
% 0.56/0.75 % (15806)Instructions burned: 6 (million)
% 0.56/0.75 % (15806)------------------------------
% 0.56/0.75 % (15806)------------------------------
% 0.56/0.75 % (15803)Memory used [KB]: 1112
% 0.56/0.75 % (15803)Time elapsed: 0.004 s
% 0.56/0.75 % (15803)Instructions burned: 6 (million)
% 0.56/0.75 % (15803)------------------------------
% 0.56/0.75 % (15803)------------------------------
% 0.56/0.75 % (15807)Refutation not found, incomplete strategy% (15807)------------------------------
% 0.56/0.75 % (15807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15807)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (15807)Memory used [KB]: 1111
% 0.56/0.75 % (15807)Time elapsed: 0.005 s
% 0.56/0.75 % (15807)Instructions burned: 7 (million)
% 0.56/0.75 % (15807)------------------------------
% 0.56/0.75 % (15807)------------------------------
% 0.56/0.75 % (15805)Refutation not found, incomplete strategy% (15805)------------------------------
% 0.56/0.75 % (15805)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15808)Refutation not found, incomplete strategy% (15808)------------------------------
% 0.56/0.75 % (15808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15808)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75 % (15805)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (15805)Memory used [KB]: 1100
% 0.56/0.75 % (15805)Time elapsed: 0.006 s
% 0.56/0.75 % (15805)Instructions burned: 8 (million)
% 0.56/0.75 % (15805)------------------------------
% 0.56/0.75 % (15805)------------------------------
% 0.56/0.75
% 0.56/0.75 % (15808)Memory used [KB]: 1099
% 0.56/0.75 % (15808)Time elapsed: 0.006 s
% 0.56/0.75 % (15808)Instructions burned: 8 (million)
% 0.56/0.75 % (15808)------------------------------
% 0.56/0.75 % (15808)------------------------------
% 0.56/0.76 % (15811)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.76 % (15813)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.76 % (15812)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.76 % (15815)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.76 % (15816)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.76 % (15814)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.76 % (15811)Refutation not found, incomplete strategy% (15811)------------------------------
% 0.56/0.76 % (15811)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (15811)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (15811)Memory used [KB]: 1103
% 0.56/0.76 % (15811)Time elapsed: 0.006 s
% 0.56/0.76 % (15811)Instructions burned: 8 (million)
% 0.56/0.76 % (15811)------------------------------
% 0.56/0.76 % (15811)------------------------------
% 0.56/0.76 % (15816)Refutation not found, incomplete strategy% (15816)------------------------------
% 0.56/0.76 % (15816)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (15816)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (15816)Memory used [KB]: 1113
% 0.56/0.76 % (15816)Time elapsed: 0.004 s
% 0.56/0.76 % (15816)Instructions burned: 6 (million)
% 0.56/0.76 % (15816)------------------------------
% 0.56/0.76 % (15816)------------------------------
% 0.56/0.76 % (15812)Refutation not found, incomplete strategy% (15812)------------------------------
% 0.56/0.76 % (15812)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (15812)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76 % (15815)Refutation not found, incomplete strategy% (15815)------------------------------
% 0.56/0.76 % (15815)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76
% 0.56/0.76 % (15812)Memory used [KB]: 1086
% 0.56/0.76 % (15812)Time elapsed: 0.007 s
% 0.56/0.76 % (15812)Instructions burned: 12 (million)
% 0.56/0.76 % (15812)------------------------------
% 0.56/0.76 % (15812)------------------------------
% 0.56/0.76 % (15815)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (15815)Memory used [KB]: 1097
% 0.56/0.76 % (15815)Time elapsed: 0.006 s
% 0.56/0.76 % (15815)Instructions burned: 8 (million)
% 0.56/0.76 % (15815)------------------------------
% 0.56/0.76 % (15815)------------------------------
% 0.56/0.76 % (15814)Refutation not found, incomplete strategy% (15814)------------------------------
% 0.56/0.76 % (15814)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (15814)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (15814)Memory used [KB]: 1100
% 0.56/0.76 % (15814)Time elapsed: 0.006 s
% 0.56/0.76 % (15814)Instructions burned: 8 (million)
% 0.56/0.76 % (15814)------------------------------
% 0.56/0.76 % (15814)------------------------------
% 0.56/0.76 % (15813)Refutation not found, incomplete strategy% (15813)------------------------------
% 0.56/0.76 % (15813)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (15813)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (15813)Memory used [KB]: 1131
% 0.56/0.76 % (15813)Time elapsed: 0.009 s
% 0.56/0.76 % (15813)Instructions burned: 13 (million)
% 0.56/0.76 % (15813)------------------------------
% 0.56/0.76 % (15813)------------------------------
% 0.56/0.76 % (15817)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.56/0.77 % (15818)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.56/0.77 % (15819)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.68/0.77 % (15820)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.68/0.77 % (15822)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.68/0.77 % (15818)Refutation not found, incomplete strategy% (15818)------------------------------
% 0.68/0.77 % (15818)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (15818)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (15818)Memory used [KB]: 1032
% 0.68/0.77 % (15818)Time elapsed: 0.005 s
% 0.68/0.77 % (15818)Instructions burned: 6 (million)
% 0.68/0.77 % (15818)------------------------------
% 0.68/0.77 % (15818)------------------------------
% 0.68/0.77 % (15821)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.68/0.77 % (15819)Refutation not found, incomplete strategy% (15819)------------------------------
% 0.68/0.77 % (15819)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (15819)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (15819)Memory used [KB]: 1114
% 0.68/0.77 % (15819)Time elapsed: 0.005 s
% 0.68/0.77 % (15819)Instructions burned: 6 (million)
% 0.68/0.77 % (15819)------------------------------
% 0.68/0.77 % (15819)------------------------------
% 0.68/0.77 % (15821)Refutation not found, incomplete strategy% (15821)------------------------------
% 0.68/0.77 % (15821)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (15821)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (15821)Memory used [KB]: 1096
% 0.68/0.77 % (15821)Time elapsed: 0.003 s
% 0.68/0.77 % (15821)Instructions burned: 4 (million)
% 0.68/0.77 % (15821)------------------------------
% 0.68/0.77 % (15821)------------------------------
% 0.68/0.77 % (15822)Refutation not found, incomplete strategy% (15822)------------------------------
% 0.68/0.77 % (15822)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (15822)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (15822)Memory used [KB]: 1108
% 0.68/0.77 % (15822)Time elapsed: 0.006 s
% 0.68/0.77 % (15822)Instructions burned: 8 (million)
% 0.68/0.77 % (15822)------------------------------
% 0.68/0.77 % (15822)------------------------------
% 0.68/0.77 % (15809)Instruction limit reached!
% 0.68/0.77 % (15809)------------------------------
% 0.68/0.77 % (15809)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (15809)Termination reason: Unknown
% 0.68/0.77 % (15809)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (15809)Memory used [KB]: 2022
% 0.68/0.77 % (15809)Time elapsed: 0.025 s
% 0.68/0.77 % (15823)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.68/0.77 % (15809)Instructions burned: 84 (million)
% 0.68/0.77 % (15809)------------------------------
% 0.68/0.77 % (15809)------------------------------
% 0.68/0.77 % (15824)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.68/0.78 % (15825)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.68/0.78 % (15804)Instruction limit reached!
% 0.68/0.78 % (15804)------------------------------
% 0.68/0.78 % (15804)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (15804)Termination reason: Unknown
% 0.68/0.78 % (15804)Termination phase: Saturation
% 0.68/0.78
% 0.68/0.78 % (15804)Memory used [KB]: 1758
% 0.68/0.78 % (15804)Time elapsed: 0.029 s
% 0.68/0.78 % (15804)Instructions burned: 52 (million)
% 0.68/0.78 % (15804)------------------------------
% 0.68/0.78 % (15804)------------------------------
% 0.68/0.78 % (15827)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.68/0.78 % (15823)Refutation not found, incomplete strategy% (15823)------------------------------
% 0.68/0.78 % (15823)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (15823)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (15823)Memory used [KB]: 1101
% 0.68/0.78 % (15823)Time elapsed: 0.007 s
% 0.68/0.78 % (15823)Instructions burned: 9 (million)
% 0.68/0.78 % (15823)------------------------------
% 0.68/0.78 % (15823)------------------------------
% 0.68/0.78 % (15826)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.68/0.78 % (15824)Refutation not found, incomplete strategy% (15824)------------------------------
% 0.68/0.78 % (15824)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (15824)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (15824)Memory used [KB]: 1115
% 0.68/0.78 % (15824)Time elapsed: 0.005 s
% 0.68/0.78 % (15824)Instructions burned: 7 (million)
% 0.68/0.78 % (15824)------------------------------
% 0.68/0.78 % (15824)------------------------------
% 0.68/0.78 % (15817)Refutation not found, incomplete strategy% (15817)------------------------------
% 0.68/0.78 % (15817)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (15817)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (15817)Memory used [KB]: 1220
% 0.68/0.78 % (15817)Time elapsed: 0.016 s
% 0.68/0.78 % (15817)Instructions burned: 25 (million)
% 0.68/0.78 % (15817)------------------------------
% 0.68/0.78 % (15817)------------------------------
% 0.68/0.78 % (15826)Refutation not found, incomplete strategy% (15826)------------------------------
% 0.68/0.78 % (15826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (15826)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (15826)Memory used [KB]: 1107
% 0.68/0.78 % (15826)Time elapsed: 0.025 s
% 0.68/0.78 % (15826)Instructions burned: 6 (million)
% 0.68/0.78 % (15826)------------------------------
% 0.68/0.78 % (15826)------------------------------
% 0.68/0.78 % (15828)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.68/0.78 % (15829)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.68/0.78 % (15831)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.68/0.78 % (15827)Refutation not found, incomplete strategy% (15827)------------------------------
% 0.68/0.78 % (15827)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (15827)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (15827)Memory used [KB]: 1113
% 0.68/0.78 % (15827)Time elapsed: 0.007 s
% 0.68/0.78 % (15827)Instructions burned: 9 (million)
% 0.68/0.78 % (15827)------------------------------
% 0.68/0.78 % (15827)------------------------------
% 0.68/0.78 % (15830)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.68/0.78 % (15831)Refutation not found, incomplete strategy% (15831)------------------------------
% 0.68/0.78 % (15831)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (15831)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (15831)Memory used [KB]: 1021
% 0.68/0.78 % (15831)Time elapsed: 0.002 s
% 0.68/0.78 % (15831)Instructions burned: 6 (million)
% 0.68/0.78 % (15831)------------------------------
% 0.68/0.78 % (15831)------------------------------
% 0.68/0.78 % (15832)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.68/0.79 % (15833)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.68/0.79 % (15832)Refutation not found, incomplete strategy% (15832)------------------------------
% 0.68/0.79 % (15832)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.79 % (15832)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79
% 0.68/0.79 % (15832)Memory used [KB]: 1122
% 0.68/0.79 % (15832)Time elapsed: 0.005 s
% 0.68/0.79 % (15832)Instructions burned: 7 (million)
% 0.68/0.79 % (15832)------------------------------
% 0.68/0.79 % (15832)------------------------------
% 0.68/0.79 % (15835)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.68/0.79 % (15834)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.68/0.80 % (15833)Refutation not found, incomplete strategy% (15833)------------------------------
% 0.68/0.80 % (15833)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.80 % (15833)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80
% 0.68/0.80 % (15833)Memory used [KB]: 1201
% 0.68/0.80 % (15833)Time elapsed: 0.011 s
% 0.68/0.80 % (15833)Instructions burned: 16 (million)
% 0.68/0.80 % (15833)------------------------------
% 0.68/0.80 % (15833)------------------------------
% 0.68/0.80 % (15828)Instruction limit reached!
% 0.68/0.80 % (15828)------------------------------
% 0.68/0.80 % (15828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.80 % (15828)Termination reason: Unknown
% 0.68/0.80 % (15828)Termination phase: Saturation
% 0.68/0.80
% 0.68/0.80 % (15828)Memory used [KB]: 1188
% 0.68/0.80 % (15828)Time elapsed: 0.039 s
% 0.68/0.80 % (15828)Instructions burned: 35 (million)
% 0.68/0.80 % (15828)------------------------------
% 0.68/0.80 % (15828)------------------------------
% 0.68/0.80 % (15836)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.68/0.80 % (15825)Instruction limit reached!
% 0.68/0.80 % (15825)------------------------------
% 0.68/0.80 % (15825)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.80 % (15837)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.68/0.80 % (15825)Termination reason: Unknown
% 0.68/0.80 % (15825)Termination phase: Saturation
% 0.68/0.80
% 0.68/0.80 % (15825)Memory used [KB]: 1205
% 0.68/0.80 % (15825)Time elapsed: 0.028 s
% 0.68/0.80 % (15825)Instructions burned: 55 (million)
% 0.68/0.80 % (15825)------------------------------
% 0.68/0.80 % (15825)------------------------------
% 0.68/0.81 % (15838)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.68/0.81 % (15820)Instruction limit reached!
% 0.68/0.81 % (15820)------------------------------
% 0.68/0.81 % (15820)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.81 % (15820)Termination reason: Unknown
% 0.68/0.81 % (15820)Termination phase: Saturation
% 0.68/0.81
% 0.68/0.81 % (15820)Memory used [KB]: 2294
% 0.68/0.81 % (15820)Time elapsed: 0.049 s
% 0.68/0.81 % (15820)Instructions burned: 93 (million)
% 0.68/0.81 % (15820)------------------------------
% 0.68/0.81 % (15820)------------------------------
% 0.68/0.82 % (15839)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.68/0.82 % (15829)Instruction limit reached!
% 0.68/0.82 % (15829)------------------------------
% 0.68/0.82 % (15829)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.82 % (15829)Termination reason: Unknown
% 0.68/0.82 % (15829)Termination phase: Saturation
% 0.68/0.82
% 0.68/0.82 % (15829)Memory used [KB]: 1484
% 0.68/0.82 % (15829)Time elapsed: 0.062 s
% 0.68/0.82 % (15829)Instructions burned: 88 (million)
% 0.68/0.82 % (15829)------------------------------
% 0.68/0.82 % (15829)------------------------------
% 0.68/0.82 % (15834)First to succeed.
% 0.68/0.82 % (15837)Instruction limit reached!
% 0.68/0.82 % (15837)------------------------------
% 0.68/0.82 % (15837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.82 % (15837)Termination reason: Unknown
% 0.68/0.82 % (15837)Termination phase: Saturation
% 0.68/0.82
% 0.68/0.82 % (15837)Memory used [KB]: 1644
% 0.68/0.82 % (15837)Time elapsed: 0.022 s
% 0.68/0.82 % (15837)Instructions burned: 37 (million)
% 0.68/0.82 % (15837)------------------------------
% 0.68/0.82 % (15837)------------------------------
% 0.68/0.82 % (15840)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.68/0.82 % (15834)Refutation found. Thanks to Tanya!
% 0.68/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.68/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.83 % (15834)------------------------------
% 0.68/0.83 % (15834)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.83 % (15834)Termination reason: Refutation
% 0.68/0.83
% 0.68/0.83 % (15834)Memory used [KB]: 1766
% 0.68/0.83 % (15834)Time elapsed: 0.033 s
% 0.68/0.83 % (15834)Instructions burned: 102 (million)
% 0.68/0.83 % (15834)------------------------------
% 0.68/0.83 % (15834)------------------------------
% 0.68/0.83 % (15799)Success in time 0.46 s
% 0.68/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------