TSTP Solution File: GRP354-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP354-1 : TPTP v8.2.0. 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 : n010.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 : Mon May 20 21:08:14 EDT 2024
% Result : Unsatisfiable 0.97s 1.01s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 81
% Syntax : Number of formulae : 387 ( 40 unt; 0 def)
% Number of atoms : 1380 ( 300 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1837 ( 844 ~; 970 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 24 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1539,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f145,f150,f155,f160,f180,f181,f182,f183,f184,f192,f193,f194,f195,f196,f204,f205,f206,f207,f208,f216,f217,f218,f219,f220,f228,f229,f230,f231,f232,f263,f341,f353,f387,f397,f647,f737,f740,f763,f776,f785,f818,f918,f951,f996,f1219,f1251,f1252,f1256,f1268,f1381,f1443,f1495,f1537]) ).
fof(f1537,plain,
( ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f1536]) ).
fof(f1536,plain,
( $false
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f1535,f1531]) ).
fof(f1531,plain,
( sP7(sk_c9)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f1530,f61]) ).
fof(f61,plain,
~ sP8(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1530,plain,
( sP8(sk_c8)
| sP7(sk_c9)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_18 ),
inference(forward_demodulation,[],[f1510,f1367]) ).
fof(f1367,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13 ),
inference(forward_demodulation,[],[f831,f1222]) ).
fof(f1222,plain,
( sk_c7 = sk_c9
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f342,f1173]) ).
fof(f1173,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f1,f1172]) ).
fof(f1172,plain,
( identity = sk_c8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f921,f1047]) ).
fof(f1047,plain,
( sk_c8 = multiply(sk_c7,sk_c9)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f829,f992]) ).
fof(f992,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl27_10
| ~ spl27_11 ),
inference(superposition,[],[f717,f721]) ).
fof(f721,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl27_10 ),
inference(backward_demodulation,[],[f85,f179]) ).
fof(f179,plain,
( sk_c8 = sF22
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl27_10
<=> sk_c8 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f85,plain,
multiply(sk_c1,sk_c9) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f717,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl27_11 ),
inference(backward_demodulation,[],[f571,f191]) ).
fof(f191,plain,
( sk_c9 = sF23
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl27_11
<=> sk_c9 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
fof(f571,plain,
! [X0] : multiply(sF23,multiply(sk_c1,X0)) = X0,
inference(forward_demodulation,[],[f570,f1]) ).
fof(f570,plain,
! [X0] : multiply(identity,X0) = multiply(sF23,multiply(sk_c1,X0)),
inference(superposition,[],[f3,f276]) ).
fof(f276,plain,
identity = multiply(sF23,sk_c1),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
inverse(sk_c1) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f829,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl27_12 ),
inference(forward_demodulation,[],[f476,f203]) ).
fof(f203,plain,
( sk_c7 = sF24
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl27_12
<=> sk_c7 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f476,plain,
! [X0] : multiply(sF24,multiply(sk_c9,X0)) = X0,
inference(forward_demodulation,[],[f475,f1]) ).
fof(f475,plain,
! [X0] : multiply(identity,X0) = multiply(sF24,multiply(sk_c9,X0)),
inference(superposition,[],[f3,f272]) ).
fof(f272,plain,
identity = multiply(sF24,sk_c9),
inference(superposition,[],[f2,f103]) ).
fof(f103,plain,
inverse(sk_c9) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f921,plain,
( identity = multiply(sk_c7,sk_c9)
| ~ spl27_12 ),
inference(forward_demodulation,[],[f272,f203]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f342,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| ~ spl27_1 ),
inference(backward_demodulation,[],[f69,f135]) ).
fof(f135,plain,
( sk_c9 = sF14
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl27_1
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f69,plain,
multiply(sk_c8,sk_c7) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f831,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl27_13 ),
inference(forward_demodulation,[],[f112,f215]) ).
fof(f215,plain,
( sk_c8 = sF25
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl27_13
<=> sk_c8 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f112,plain,
multiply(sk_c2,sk_c7) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f1510,plain,
( sP7(sk_c9)
| sP8(multiply(sk_c2,sk_c9))
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_14
| ~ spl27_18 ),
inference(superposition,[],[f1502,f1370]) ).
fof(f1370,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_14 ),
inference(forward_demodulation,[],[f824,f1222]) ).
fof(f824,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl27_14 ),
inference(backward_demodulation,[],[f121,f227]) ).
fof(f227,plain,
( sk_c7 = sF26
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl27_14
<=> sk_c7 = sF26 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f121,plain,
inverse(sk_c2) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f1502,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(X4,sk_c9)) )
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_18 ),
inference(forward_demodulation,[],[f249,f1222]) ).
fof(f249,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(X4,sk_c7)) )
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl27_18
<=> ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(X4,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
fof(f1535,plain,
( ~ sP7(sk_c9)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f60,f1222]) ).
fof(f60,plain,
~ sP7(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1495,plain,
( ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f1494]) ).
fof(f1494,plain,
( $false
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f1493,f54]) ).
fof(f54,plain,
~ sP1(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1493,plain,
( sP1(sk_c8)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_22 ),
inference(backward_demodulation,[],[f1486,f1384]) ).
fof(f1384,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(superposition,[],[f1174,f1359]) ).
fof(f1359,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1187,f1222]) ).
fof(f1187,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(backward_demodulation,[],[f718,f1183]) ).
fof(f1183,plain,
( sk_c7 = sk_c1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1042,f1180]) ).
fof(f1180,plain,
( sk_c1 = multiply(sk_c7,sk_c8)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f1050,f1172]) ).
fof(f1050,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f829,f920]) ).
fof(f920,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl27_11 ),
inference(forward_demodulation,[],[f276,f191]) ).
fof(f1042,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl27_13
| ~ spl27_14 ),
inference(superposition,[],[f823,f831]) ).
fof(f823,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl27_14 ),
inference(backward_demodulation,[],[f593,f227]) ).
fof(f593,plain,
! [X0] : multiply(sF26,multiply(sk_c2,X0)) = X0,
inference(forward_demodulation,[],[f592,f1]) ).
fof(f592,plain,
! [X0] : multiply(identity,X0) = multiply(sF26,multiply(sk_c2,X0)),
inference(superposition,[],[f3,f277]) ).
fof(f277,plain,
identity = multiply(sF26,sk_c2),
inference(superposition,[],[f2,f121]) ).
fof(f718,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl27_11 ),
inference(backward_demodulation,[],[f94,f191]) ).
fof(f1174,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f2,f1172]) ).
fof(f1486,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_22 ),
inference(forward_demodulation,[],[f1485,f1359]) ).
fof(f1485,plain,
( sP1(multiply(sk_c9,inverse(sk_c9)))
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f1474,f53]) ).
fof(f53,plain,
~ sP0(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1474,plain,
( sP0(sk_c8)
| sP1(multiply(sk_c9,inverse(sk_c9)))
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_22 ),
inference(superposition,[],[f1383,f1174]) ).
fof(f1383,plain,
( ! [X7] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_22 ),
inference(forward_demodulation,[],[f262,f1222]) ).
fof(f262,plain,
( ! [X7] :
( sP0(multiply(inverse(X7),sk_c7))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl27_22
<=> ! [X7] :
( sP0(multiply(inverse(X7),sk_c7))
| sP1(multiply(X7,inverse(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f1443,plain,
( spl27_5
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(avatar_split_clause,[],[f1439,f225,f213,f201,f189,f177,f157,f147,f133,f152]) ).
fof(f152,plain,
( spl27_5
<=> sk_c9 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f147,plain,
( spl27_4
<=> sk_c8 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f157,plain,
( spl27_6
<=> sk_c9 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f1439,plain,
( sk_c9 = sF17
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1438,f1359]) ).
fof(f1438,plain,
( inverse(sk_c9) = sF17
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f75,f1436]) ).
fof(f1436,plain,
( sk_c9 = sk_c4
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1434,f992]) ).
fof(f1434,plain,
( sk_c4 = multiply(sk_c9,sk_c8)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f1351,f1426]) ).
fof(f1426,plain,
( sk_c8 = multiply(sk_c9,sk_c4)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f1179,f1422]) ).
fof(f1422,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sF17,X0)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1421,f1173]) ).
fof(f1421,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sF17,multiply(sk_c8,X0))
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f3,f1418]) ).
fof(f1418,plain,
( sk_c9 = multiply(sF17,sk_c8)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f1292,f1354]) ).
fof(f1354,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1229,f149]) ).
fof(f149,plain,
( sk_c8 = sF16
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f1229,plain,
( sF16 = multiply(sk_c9,sk_c9)
| ~ spl27_1
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f914,f1227]) ).
fof(f1227,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,X0)
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f286,f1173]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl27_6 ),
inference(superposition,[],[f3,f267]) ).
fof(f267,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl27_6 ),
inference(backward_demodulation,[],[f77,f159]) ).
fof(f159,plain,
( sk_c9 = sF18
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f77,plain,
multiply(sk_c4,sk_c8) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f914,plain,
( sF16 = multiply(sk_c4,sk_c9)
| ~ spl27_1
| ~ spl27_6 ),
inference(forward_demodulation,[],[f913,f73]) ).
fof(f73,plain,
multiply(sk_c9,sk_c7) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f913,plain,
( multiply(sk_c9,sk_c7) = multiply(sk_c4,sk_c9)
| ~ spl27_1
| ~ spl27_6 ),
inference(forward_demodulation,[],[f330,f135]) ).
fof(f330,plain,
( multiply(sk_c9,sk_c7) = multiply(sk_c4,sF14)
| ~ spl27_6 ),
inference(superposition,[],[f286,f69]) ).
fof(f1292,plain,
( ! [X0] : multiply(sF17,multiply(sk_c9,X0)) = X0
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1291,f1173]) ).
fof(f1291,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sF17,multiply(sk_c9,X0))
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1290,f1227]) ).
fof(f1290,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sF17,multiply(sk_c4,X0))
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f3,f1179]) ).
fof(f1179,plain,
( sk_c8 = multiply(sF17,sk_c4)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f1001,f1172]) ).
fof(f1001,plain,
identity = multiply(sF17,sk_c4),
inference(superposition,[],[f2,f75]) ).
fof(f1351,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1350,f1173]) ).
fof(f1350,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1349,f1227]) ).
fof(f1349,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl27_1
| ~ spl27_4
| ~ spl27_6 ),
inference(forward_demodulation,[],[f973,f149]) ).
fof(f973,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sF16,X0)
| ~ spl27_1
| ~ spl27_6 ),
inference(backward_demodulation,[],[f444,f972]) ).
fof(f972,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sF16,X0)
| ~ spl27_1
| ~ spl27_6 ),
inference(forward_demodulation,[],[f971,f444]) ).
fof(f971,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sF16,X0)
| ~ spl27_1
| ~ spl27_6 ),
inference(superposition,[],[f3,f914]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl27_1
| ~ spl27_6 ),
inference(superposition,[],[f286,f344]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c9,X0)
| ~ spl27_1 ),
inference(backward_demodulation,[],[f281,f135]) ).
fof(f281,plain,
! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sF14,X0),
inference(superposition,[],[f3,f69]) ).
fof(f75,plain,
inverse(sk_c4) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f1381,plain,
( ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_34 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1380,plain,
( $false
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_34 ),
inference(subsumption_resolution,[],[f1379,f56]) ).
fof(f56,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1379,plain,
( sP3(sk_c9)
| ~ spl27_1
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_34 ),
inference(forward_demodulation,[],[f950,f1222]) ).
fof(f950,plain,
( sP3(sk_c7)
| ~ spl27_34 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f948,plain,
( spl27_34
<=> sP3(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
fof(f1268,plain,
( ~ spl27_10
| ~ spl27_27 ),
inference(avatar_contradiction_clause,[],[f1267]) ).
fof(f1267,plain,
( $false
| ~ spl27_10
| ~ spl27_27 ),
inference(subsumption_resolution,[],[f1266,f64]) ).
fof(f64,plain,
~ sP11(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1266,plain,
( sP11(sk_c8)
| ~ spl27_10
| ~ spl27_27 ),
inference(forward_demodulation,[],[f392,f179]) ).
fof(f392,plain,
( sP11(sF22)
| ~ spl27_27 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl27_27
<=> sP11(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_27])]) ).
fof(f1256,plain,
( ~ spl27_11
| ~ spl27_28 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1255,plain,
( $false
| ~ spl27_11
| ~ spl27_28 ),
inference(subsumption_resolution,[],[f1254,f63]) ).
fof(f63,plain,
~ sP10(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1254,plain,
( sP10(sk_c9)
| ~ spl27_11
| ~ spl27_28 ),
inference(forward_demodulation,[],[f396,f191]) ).
fof(f396,plain,
( sP10(sF23)
| ~ spl27_28 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl27_28
<=> sP10(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_28])]) ).
fof(f1252,plain,
( spl27_4
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(avatar_split_clause,[],[f1188,f225,f213,f201,f189,f177,f147]) ).
fof(f1188,plain,
( sk_c8 = sF16
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1186,f73]) ).
fof(f1186,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(backward_demodulation,[],[f1177,f1183]) ).
fof(f1177,plain,
( sk_c8 = multiply(sk_c9,sk_c1)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f920,f1172]) ).
fof(f1251,plain,
( spl27_4
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(avatar_split_clause,[],[f1215,f225,f213,f201,f189,f177,f137,f133,f147]) ).
fof(f137,plain,
( spl27_2
<=> sk_c8 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f1215,plain,
( sk_c8 = sF16
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1205,f1196]) ).
fof(f1196,plain,
( sF16 = multiply(sk_c9,sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(backward_demodulation,[],[f73,f1194]) ).
fof(f1194,plain,
( sk_c7 = sk_c9
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1193,f1183]) ).
fof(f1193,plain,
( sk_c9 = sk_c1
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1192,f992]) ).
fof(f1192,plain,
( sk_c1 = multiply(sk_c9,sk_c8)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1191,f1172]) ).
fof(f1191,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1058,f1173]) ).
fof(f1058,plain,
( multiply(sk_c9,identity) = multiply(sk_c8,sk_c1)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f1011,f1057]) ).
fof(f1057,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c9,X0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f1052,f344]) ).
fof(f1052,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c3,X0)
| ~ spl27_2
| ~ spl27_11
| ~ spl27_12 ),
inference(backward_demodulation,[],[f1008,f1046]) ).
fof(f1046,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f829,f717]) ).
fof(f1008,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl27_2
| ~ spl27_11 ),
inference(superposition,[],[f285,f717]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl27_2 ),
inference(superposition,[],[f3,f271]) ).
fof(f271,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl27_2 ),
inference(backward_demodulation,[],[f68,f139]) ).
fof(f139,plain,
( sk_c8 = sF13
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f68,plain,
multiply(sk_c3,sk_c9) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1011,plain,
( multiply(sk_c3,identity) = multiply(sk_c8,sk_c1)
| ~ spl27_2
| ~ spl27_11 ),
inference(superposition,[],[f285,f920]) ).
fof(f1205,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(backward_demodulation,[],[f1047,f1194]) ).
fof(f1219,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_21 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1218,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f1210,f55]) ).
fof(f55,plain,
~ sP2(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1210,plain,
( sP2(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_21 ),
inference(backward_demodulation,[],[f1184,f1194]) ).
fof(f1184,plain,
( sP2(sk_c7)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_21 ),
inference(backward_demodulation,[],[f1182,f1183]) ).
fof(f1182,plain,
( sP2(sk_c1)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_21 ),
inference(backward_demodulation,[],[f1055,f1180]) ).
fof(f1055,plain,
( sP2(multiply(sk_c7,sk_c8))
| ~ spl27_11
| ~ spl27_12
| ~ spl27_21 ),
inference(backward_demodulation,[],[f954,f1046]) ).
fof(f954,plain,
( sP2(multiply(sk_c1,sk_c8))
| ~ spl27_11
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f941,f56]) ).
fof(f941,plain,
( sP3(sk_c9)
| sP2(multiply(sk_c1,sk_c8))
| ~ spl27_11
| ~ spl27_21 ),
inference(superposition,[],[f259,f718]) ).
fof(f259,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP2(multiply(X6,sk_c8)) )
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl27_21
<=> ! [X6] :
( sP2(multiply(X6,sk_c8))
| sP3(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f996,plain,
( ~ spl27_10
| ~ spl27_11
| ~ spl27_33 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f995,plain,
( $false
| ~ spl27_10
| ~ spl27_11
| ~ spl27_33 ),
inference(subsumption_resolution,[],[f994,f55]) ).
fof(f994,plain,
( sP2(sk_c9)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_33 ),
inference(backward_demodulation,[],[f946,f992]) ).
fof(f946,plain,
( sP2(multiply(sk_c9,sk_c8))
| ~ spl27_33 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f944,plain,
( spl27_33
<=> sP2(multiply(sk_c9,sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).
fof(f951,plain,
( spl27_33
| spl27_34
| ~ spl27_12
| ~ spl27_21 ),
inference(avatar_split_clause,[],[f939,f258,f201,f948,f944]) ).
fof(f939,plain,
( sP3(sk_c7)
| sP2(multiply(sk_c9,sk_c8))
| ~ spl27_12
| ~ spl27_21 ),
inference(superposition,[],[f259,f828]) ).
fof(f828,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl27_12 ),
inference(forward_demodulation,[],[f103,f203]) ).
fof(f918,plain,
( ~ spl27_12
| ~ spl27_17 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f917,plain,
( $false
| ~ spl27_12
| ~ spl27_17 ),
inference(subsumption_resolution,[],[f62,f916]) ).
fof(f916,plain,
( sP9(sk_c7)
| ~ spl27_12
| ~ spl27_17 ),
inference(backward_demodulation,[],[f246,f203]) ).
fof(f246,plain,
( sP9(sF24)
| ~ spl27_17 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl27_17
<=> sP9(sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f62,plain,
~ sP9(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f818,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f816,f54]) ).
fof(f816,plain,
( sP1(sk_c8)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_22 ),
inference(forward_demodulation,[],[f815,f686]) ).
fof(f686,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f596,f683]) ).
fof(f683,plain,
( sk_c9 = sF24
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f680,f103]) ).
fof(f680,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f270,f679]) ).
fof(f679,plain,
( sk_c9 = sk_c3
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f674,f298]) ).
fof(f298,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f294,f271]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl27_3 ),
inference(forward_demodulation,[],[f283,f1]) ).
fof(f283,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl27_3 ),
inference(superposition,[],[f3,f273]) ).
fof(f273,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl27_3 ),
inference(superposition,[],[f2,f270]) ).
fof(f674,plain,
( sk_c3 = multiply(sk_c9,sk_c8)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f531,f668]) ).
fof(f668,plain,
( identity = sk_c8
| ~ spl27_2
| ~ spl27_3 ),
inference(forward_demodulation,[],[f272,f596]) ).
fof(f531,plain,
( sk_c3 = multiply(sk_c9,identity)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f501,f492]) ).
fof(f492,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c9,X0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f345,f482]) ).
fof(f482,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(superposition,[],[f313,f472]) ).
fof(f472,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c3,X0)) = X0
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f469,f294]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = multiply(sk_c3,multiply(sk_c3,X0))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(superposition,[],[f345,f313]) ).
fof(f313,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f285,f294]) ).
fof(f345,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4 ),
inference(backward_demodulation,[],[f323,f135]) ).
fof(f323,plain,
( ! [X0] : multiply(sF14,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl27_2
| ~ spl27_4 ),
inference(forward_demodulation,[],[f315,f281]) ).
fof(f315,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl27_2
| ~ spl27_4 ),
inference(superposition,[],[f285,f282]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl27_4 ),
inference(superposition,[],[f3,f269]) ).
fof(f269,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl27_4 ),
inference(backward_demodulation,[],[f73,f149]) ).
fof(f501,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f319,f482]) ).
fof(f319,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c3,identity)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f285,f273]) ).
fof(f270,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl27_3 ),
inference(backward_demodulation,[],[f71,f144]) ).
fof(f144,plain,
( sk_c9 = sF15
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl27_3
<=> sk_c9 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f71,plain,
inverse(sk_c3) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f596,plain,
( sk_c8 = multiply(sF24,sk_c9)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f476,f298]) ).
fof(f815,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_22 ),
inference(forward_demodulation,[],[f814,f685]) ).
fof(f685,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f103,f683]) ).
fof(f814,plain,
( sP1(multiply(sk_c9,inverse(sk_c9)))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f808,f53]) ).
fof(f808,plain,
( sP0(sk_c8)
| sP1(multiply(sk_c9,inverse(sk_c9)))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_22 ),
inference(superposition,[],[f786,f670]) ).
fof(f670,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl27_2
| ~ spl27_3 ),
inference(backward_demodulation,[],[f2,f668]) ).
fof(f786,plain,
( ! [X7] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_22 ),
inference(forward_demodulation,[],[f262,f499]) ).
fof(f499,plain,
( sk_c7 = sk_c9
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f342,f482]) ).
fof(f785,plain,
( ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f783,f59]) ).
fof(f59,plain,
~ sP6(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f783,plain,
( sP6(sk_c8)
| ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(forward_demodulation,[],[f782,f721]) ).
fof(f782,plain,
( sP6(multiply(sk_c1,sk_c9))
| ~ spl27_11
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f772,f58]) ).
fof(f58,plain,
~ sP5(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f772,plain,
( sP5(sk_c9)
| sP6(multiply(sk_c1,sk_c9))
| ~ spl27_11
| ~ spl27_19 ),
inference(superposition,[],[f252,f718]) ).
fof(f252,plain,
( ! [X5] :
( sP5(inverse(X5))
| sP6(multiply(X5,sk_c9)) )
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl27_19
<=> ! [X5] :
( sP5(inverse(X5))
| sP6(multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
fof(f776,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f775,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f774,f59]) ).
fof(f774,plain,
( sP6(sk_c8)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_demodulation,[],[f773,f686]) ).
fof(f773,plain,
( sP6(multiply(sk_c9,sk_c9))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f770,f58]) ).
fof(f770,plain,
( sP5(sk_c9)
| sP6(multiply(sk_c9,sk_c9))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(superposition,[],[f252,f685]) ).
fof(f763,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_21 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f762,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f761,f55]) ).
fof(f761,plain,
( sP2(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_21 ),
inference(forward_demodulation,[],[f760,f298]) ).
fof(f760,plain,
( sP2(multiply(sk_c9,sk_c8))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f757,f56]) ).
fof(f757,plain,
( sP3(sk_c9)
| sP2(multiply(sk_c9,sk_c8))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_21 ),
inference(superposition,[],[f259,f685]) ).
fof(f740,plain,
( ~ spl27_4
| ~ spl27_20 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| ~ spl27_4
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f738,f57]) ).
fof(f57,plain,
~ sP4(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f738,plain,
( sP4(sk_c8)
| ~ spl27_4
| ~ spl27_20 ),
inference(forward_demodulation,[],[f256,f149]) ).
fof(f256,plain,
( sP4(sF16)
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl27_20
<=> sP4(sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f737,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f736,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17 ),
inference(subsumption_resolution,[],[f735,f523]) ).
fof(f523,plain,
( ~ sP9(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f62,f499]) ).
fof(f735,plain,
( sP9(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17 ),
inference(forward_demodulation,[],[f246,f683]) ).
fof(f647,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f645,f61]) ).
fof(f645,plain,
( sP8(sk_c8)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_18 ),
inference(forward_demodulation,[],[f644,f302]) ).
fof(f302,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl27_5
| ~ spl27_6 ),
inference(superposition,[],[f295,f267]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl27_5 ),
inference(forward_demodulation,[],[f284,f1]) ).
fof(f284,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl27_5 ),
inference(superposition,[],[f3,f274]) ).
fof(f274,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl27_5 ),
inference(superposition,[],[f2,f268]) ).
fof(f268,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl27_5 ),
inference(backward_demodulation,[],[f75,f154]) ).
fof(f154,plain,
( sk_c9 = sF17
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f644,plain,
( sP8(multiply(sk_c9,sk_c9))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f641,f522]) ).
fof(f522,plain,
( ~ sP7(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f60,f499]) ).
fof(f641,plain,
( sP7(sk_c9)
| sP8(multiply(sk_c9,sk_c9))
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_18 ),
inference(superposition,[],[f634,f619]) ).
fof(f619,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(backward_demodulation,[],[f103,f617]) ).
fof(f617,plain,
( sk_c9 = sF24
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(forward_demodulation,[],[f613,f103]) ).
fof(f613,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(backward_demodulation,[],[f270,f612]) ).
fof(f612,plain,
( sk_c9 = sk_c3
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(forward_demodulation,[],[f609,f298]) ).
fof(f609,plain,
( sk_c3 = multiply(sk_c9,sk_c8)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(backward_demodulation,[],[f531,f603]) ).
fof(f603,plain,
( identity = sk_c8
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(forward_demodulation,[],[f600,f302]) ).
fof(f600,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(backward_demodulation,[],[f272,f595]) ).
fof(f595,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sF24,X0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(superposition,[],[f476,f503]) ).
fof(f503,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(backward_demodulation,[],[f295,f488]) ).
fof(f488,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,X0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_6 ),
inference(backward_demodulation,[],[f286,f482]) ).
fof(f634,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(X4,sk_c9)) )
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_18 ),
inference(forward_demodulation,[],[f249,f499]) ).
fof(f397,plain,
( spl27_27
| spl27_28
| ~ spl27_16 ),
inference(avatar_split_clause,[],[f388,f241,f394,f390]) ).
fof(f241,plain,
( spl27_16
<=> ! [X3] :
( sP10(inverse(X3))
| sP11(multiply(X3,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f388,plain,
( sP10(sF23)
| sP11(sF22)
| ~ spl27_16 ),
inference(forward_demodulation,[],[f362,f94]) ).
fof(f362,plain,
( sP11(sF22)
| sP10(inverse(sk_c1))
| ~ spl27_16 ),
inference(superposition,[],[f242,f85]) ).
fof(f242,plain,
( ! [X3] :
( sP11(multiply(X3,sk_c9))
| sP10(inverse(X3)) )
| ~ spl27_16 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f387,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_16 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_16 ),
inference(subsumption_resolution,[],[f385,f63]) ).
fof(f385,plain,
( sP10(sk_c9)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_16 ),
inference(forward_demodulation,[],[f384,f270]) ).
fof(f384,plain,
( sP10(inverse(sk_c3))
| ~ spl27_2
| ~ spl27_16 ),
inference(subsumption_resolution,[],[f361,f64]) ).
fof(f361,plain,
( sP11(sk_c8)
| sP10(inverse(sk_c3))
| ~ spl27_2
| ~ spl27_16 ),
inference(superposition,[],[f242,f271]) ).
fof(f353,plain,
( ~ spl27_15
| ~ spl27_1 ),
inference(avatar_split_clause,[],[f343,f133,f237]) ).
fof(f237,plain,
( spl27_15
<=> sP12(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f343,plain,
( ~ sP12(sk_c9)
| ~ spl27_1 ),
inference(backward_demodulation,[],[f130,f135]) ).
fof(f130,plain,
~ sP12(sF14),
inference(definition_folding,[],[f65,f69]) ).
fof(f65,plain,
~ sP12(multiply(sk_c8,sk_c7)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP12])]) ).
fof(f341,plain,
( spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(avatar_split_clause,[],[f340,f157,f152,f147,f142,f137,f133]) ).
fof(f340,plain,
( sk_c9 = sF14
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(forward_demodulation,[],[f338,f298]) ).
fof(f338,plain,
( sF14 = multiply(sk_c9,sk_c8)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6 ),
inference(superposition,[],[f295,f333]) ).
fof(f333,plain,
( sk_c8 = multiply(sk_c4,sF14)
| ~ spl27_4
| ~ spl27_6 ),
inference(forward_demodulation,[],[f330,f269]) ).
fof(f263,plain,
( spl27_15
| spl27_16
| spl27_17
| spl27_18
| spl27_19
| spl27_20
| spl27_21
| spl27_22 ),
inference(avatar_split_clause,[],[f131,f261,f258,f254,f251,f248,f244,f241,f237]) ).
fof(f131,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(inverse(X7),sk_c7))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c8))
| sP3(inverse(X6))
| sP4(sF16)
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c9))
| sP7(inverse(X4))
| sP8(multiply(X4,sk_c7))
| sP9(sF24)
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c9))
| sP12(sk_c9) ),
inference(definition_folding,[],[f67,f103,f73]) ).
fof(f67,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(inverse(X7),sk_c7))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c8))
| sP3(inverse(X6))
| sP4(multiply(sk_c9,sk_c7))
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c9))
| sP7(inverse(X4))
| sP8(multiply(X4,sk_c7))
| sP9(inverse(sk_c9))
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c9))
| sP12(sk_c9) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X8,X6,X7,X4,X5] :
( sP0(multiply(X8,sk_c7))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(multiply(X6,sk_c8))
| sP3(inverse(X6))
| sP4(multiply(sk_c9,sk_c7))
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c9))
| sP7(inverse(X4))
| sP8(multiply(X4,sk_c7))
| sP9(inverse(sk_c9))
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c9))
| sP12(sk_c9) ),
inference(inequality_splitting,[],[f52,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f52,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X8,sk_c7)
| inverse(X7) != X8
| sk_c8 != multiply(X7,X8)
| sk_c9 != multiply(X6,sk_c8)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c8,sk_c7) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f232,plain,
( spl27_14
| spl27_6 ),
inference(avatar_split_clause,[],[f126,f157,f225]) ).
fof(f126,plain,
( sk_c9 = sF18
| sk_c7 = sF26 ),
inference(definition_folding,[],[f48,f121,f77]) ).
fof(f48,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f231,plain,
( spl27_14
| spl27_5 ),
inference(avatar_split_clause,[],[f125,f152,f225]) ).
fof(f125,plain,
( sk_c9 = sF17
| sk_c7 = sF26 ),
inference(definition_folding,[],[f47,f121,f75]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f230,plain,
( spl27_14
| spl27_4 ),
inference(avatar_split_clause,[],[f124,f147,f225]) ).
fof(f124,plain,
( sk_c8 = sF16
| sk_c7 = sF26 ),
inference(definition_folding,[],[f46,f121,f73]) ).
fof(f46,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f229,plain,
( spl27_14
| spl27_3 ),
inference(avatar_split_clause,[],[f123,f142,f225]) ).
fof(f123,plain,
( sk_c9 = sF15
| sk_c7 = sF26 ),
inference(definition_folding,[],[f45,f121,f71]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f228,plain,
( spl27_14
| spl27_2 ),
inference(avatar_split_clause,[],[f122,f137,f225]) ).
fof(f122,plain,
( sk_c8 = sF13
| sk_c7 = sF26 ),
inference(definition_folding,[],[f44,f121,f68]) ).
fof(f44,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f220,plain,
( spl27_13
| spl27_6 ),
inference(avatar_split_clause,[],[f117,f157,f213]) ).
fof(f117,plain,
( sk_c9 = sF18
| sk_c8 = sF25 ),
inference(definition_folding,[],[f40,f112,f77]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f219,plain,
( spl27_13
| spl27_5 ),
inference(avatar_split_clause,[],[f116,f152,f213]) ).
fof(f116,plain,
( sk_c9 = sF17
| sk_c8 = sF25 ),
inference(definition_folding,[],[f39,f112,f75]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f218,plain,
( spl27_13
| spl27_4 ),
inference(avatar_split_clause,[],[f115,f147,f213]) ).
fof(f115,plain,
( sk_c8 = sF16
| sk_c8 = sF25 ),
inference(definition_folding,[],[f38,f112,f73]) ).
fof(f38,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f217,plain,
( spl27_13
| spl27_3 ),
inference(avatar_split_clause,[],[f114,f142,f213]) ).
fof(f114,plain,
( sk_c9 = sF15
| sk_c8 = sF25 ),
inference(definition_folding,[],[f37,f112,f71]) ).
fof(f37,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f216,plain,
( spl27_13
| spl27_2 ),
inference(avatar_split_clause,[],[f113,f137,f213]) ).
fof(f113,plain,
( sk_c8 = sF13
| sk_c8 = sF25 ),
inference(definition_folding,[],[f36,f112,f68]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f208,plain,
( spl27_12
| spl27_6 ),
inference(avatar_split_clause,[],[f108,f157,f201]) ).
fof(f108,plain,
( sk_c9 = sF18
| sk_c7 = sF24 ),
inference(definition_folding,[],[f32,f103,f77]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f207,plain,
( spl27_12
| spl27_5 ),
inference(avatar_split_clause,[],[f107,f152,f201]) ).
fof(f107,plain,
( sk_c9 = sF17
| sk_c7 = sF24 ),
inference(definition_folding,[],[f31,f103,f75]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f206,plain,
( spl27_12
| spl27_4 ),
inference(avatar_split_clause,[],[f106,f147,f201]) ).
fof(f106,plain,
( sk_c8 = sF16
| sk_c7 = sF24 ),
inference(definition_folding,[],[f30,f103,f73]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f205,plain,
( spl27_12
| spl27_3 ),
inference(avatar_split_clause,[],[f105,f142,f201]) ).
fof(f105,plain,
( sk_c9 = sF15
| sk_c7 = sF24 ),
inference(definition_folding,[],[f29,f103,f71]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f204,plain,
( spl27_12
| spl27_2 ),
inference(avatar_split_clause,[],[f104,f137,f201]) ).
fof(f104,plain,
( sk_c8 = sF13
| sk_c7 = sF24 ),
inference(definition_folding,[],[f28,f103,f68]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f196,plain,
( spl27_11
| spl27_6 ),
inference(avatar_split_clause,[],[f99,f157,f189]) ).
fof(f99,plain,
( sk_c9 = sF18
| sk_c9 = sF23 ),
inference(definition_folding,[],[f24,f94,f77]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f195,plain,
( spl27_11
| spl27_5 ),
inference(avatar_split_clause,[],[f98,f152,f189]) ).
fof(f98,plain,
( sk_c9 = sF17
| sk_c9 = sF23 ),
inference(definition_folding,[],[f23,f94,f75]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f194,plain,
( spl27_11
| spl27_4 ),
inference(avatar_split_clause,[],[f97,f147,f189]) ).
fof(f97,plain,
( sk_c8 = sF16
| sk_c9 = sF23 ),
inference(definition_folding,[],[f22,f94,f73]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f193,plain,
( spl27_11
| spl27_3 ),
inference(avatar_split_clause,[],[f96,f142,f189]) ).
fof(f96,plain,
( sk_c9 = sF15
| sk_c9 = sF23 ),
inference(definition_folding,[],[f21,f94,f71]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f192,plain,
( spl27_11
| spl27_2 ),
inference(avatar_split_clause,[],[f95,f137,f189]) ).
fof(f95,plain,
( sk_c8 = sF13
| sk_c9 = sF23 ),
inference(definition_folding,[],[f20,f94,f68]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f184,plain,
( spl27_10
| spl27_6 ),
inference(avatar_split_clause,[],[f90,f157,f177]) ).
fof(f90,plain,
( sk_c9 = sF18
| sk_c8 = sF22 ),
inference(definition_folding,[],[f16,f85,f77]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f183,plain,
( spl27_10
| spl27_5 ),
inference(avatar_split_clause,[],[f89,f152,f177]) ).
fof(f89,plain,
( sk_c9 = sF17
| sk_c8 = sF22 ),
inference(definition_folding,[],[f15,f85,f75]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f182,plain,
( spl27_10
| spl27_4 ),
inference(avatar_split_clause,[],[f88,f147,f177]) ).
fof(f88,plain,
( sk_c8 = sF16
| sk_c8 = sF22 ),
inference(definition_folding,[],[f14,f85,f73]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f181,plain,
( spl27_10
| spl27_3 ),
inference(avatar_split_clause,[],[f87,f142,f177]) ).
fof(f87,plain,
( sk_c9 = sF15
| sk_c8 = sF22 ),
inference(definition_folding,[],[f13,f85,f71]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f180,plain,
( spl27_10
| spl27_2 ),
inference(avatar_split_clause,[],[f86,f137,f177]) ).
fof(f86,plain,
( sk_c8 = sF13
| sk_c8 = sF22 ),
inference(definition_folding,[],[f12,f85,f68]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f160,plain,
( spl27_1
| spl27_6 ),
inference(avatar_split_clause,[],[f78,f157,f133]) ).
fof(f78,plain,
( sk_c9 = sF18
| sk_c9 = sF14 ),
inference(definition_folding,[],[f8,f69,f77]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f155,plain,
( spl27_1
| spl27_5 ),
inference(avatar_split_clause,[],[f76,f152,f133]) ).
fof(f76,plain,
( sk_c9 = sF17
| sk_c9 = sF14 ),
inference(definition_folding,[],[f7,f69,f75]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f150,plain,
( spl27_1
| spl27_4 ),
inference(avatar_split_clause,[],[f74,f147,f133]) ).
fof(f74,plain,
( sk_c8 = sF16
| sk_c9 = sF14 ),
inference(definition_folding,[],[f6,f69,f73]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f145,plain,
( spl27_1
| spl27_3 ),
inference(avatar_split_clause,[],[f72,f142,f133]) ).
fof(f72,plain,
( sk_c9 = sF15
| sk_c9 = sF14 ),
inference(definition_folding,[],[f5,f69,f71]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c3)
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f140,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f70,f137,f133]) ).
fof(f70,plain,
( sk_c8 = sF13
| sk_c9 = sF14 ),
inference(definition_folding,[],[f4,f69,f68]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP354-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.14 % 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
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 05:50:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 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/benchmark/theBenchmark.p
% 0.72/0.92 % (10171)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 theBenchmark for (2994ds/34Mi)
% 0.72/0.92 % (10173)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.72/0.92 % (10172)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 theBenchmark for (2994ds/51Mi)
% 0.72/0.92 % (10174)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.72/0.92 % (10175)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 theBenchmark for (2994ds/34Mi)
% 0.72/0.92 % (10176)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.72/0.92 % (10178)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 theBenchmark for (2994ds/83Mi)
% 0.72/0.92 % (10179)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.72/0.92 % (10174)Refutation not found, incomplete strategy% (10174)------------------------------
% 0.72/0.92 % (10174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.92 % (10171)Refutation not found, incomplete strategy% (10171)------------------------------
% 0.72/0.92 % (10171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.92 % (10171)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (10171)Memory used [KB]: 1025
% 0.72/0.92 % (10171)Time elapsed: 0.004 s
% 0.72/0.92 % (10171)Instructions burned: 5 (million)
% 0.72/0.92 % (10174)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (10174)Memory used [KB]: 1008
% 0.72/0.92 % (10174)Time elapsed: 0.004 s
% 0.72/0.92 % (10174)Instructions burned: 5 (million)
% 0.72/0.92 % (10171)------------------------------
% 0.72/0.92 % (10171)------------------------------
% 0.72/0.92 % (10175)Refutation not found, incomplete strategy% (10175)------------------------------
% 0.72/0.92 % (10175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.92 % (10175)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (10175)Memory used [KB]: 1105
% 0.72/0.92 % (10175)Time elapsed: 0.004 s
% 0.72/0.92 % (10175)Instructions burned: 5 (million)
% 0.72/0.92 % (10174)------------------------------
% 0.72/0.92 % (10174)------------------------------
% 0.72/0.92 % (10175)------------------------------
% 0.72/0.92 % (10175)------------------------------
% 0.72/0.92 % (10179)Refutation not found, incomplete strategy% (10179)------------------------------
% 0.72/0.92 % (10179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.92 % (10179)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (10179)Memory used [KB]: 1027
% 0.72/0.92 % (10179)Time elapsed: 0.003 s
% 0.72/0.92 % (10179)Instructions burned: 5 (million)
% 0.72/0.92 % (10173)Refutation not found, incomplete strategy% (10173)------------------------------
% 0.72/0.92 % (10173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.92 % (10173)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.92
% 0.72/0.92 % (10173)Memory used [KB]: 1085
% 0.72/0.92 % (10173)Time elapsed: 0.005 s
% 0.72/0.92 % (10179)------------------------------
% 0.72/0.92 % (10179)------------------------------
% 0.72/0.92 % (10173)Instructions burned: 7 (million)
% 0.72/0.92 % (10173)------------------------------
% 0.72/0.92 % (10173)------------------------------
% 0.72/0.92 % (10180)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 theBenchmark for (2994ds/55Mi)
% 0.72/0.92 % (10182)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.72/0.92 % (10181)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 theBenchmark for (2994ds/50Mi)
% 0.72/0.92 % (10183)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 theBenchmark for (2994ds/52Mi)
% 0.72/0.92 % (10184)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 theBenchmark for (2994ds/518Mi)
% 0.72/0.93 % (10181)Refutation not found, incomplete strategy% (10181)------------------------------
% 0.72/0.93 % (10181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.93 % (10181)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.93
% 0.72/0.93 % (10181)Memory used [KB]: 1010
% 0.72/0.93 % (10181)Time elapsed: 0.005 s
% 0.72/0.93 % (10181)Instructions burned: 7 (million)
% 0.72/0.93 % (10181)------------------------------
% 0.72/0.93 % (10181)------------------------------
% 0.72/0.93 % (10180)Refutation not found, incomplete strategy% (10180)------------------------------
% 0.72/0.93 % (10180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.93 % (10180)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.93
% 0.72/0.93 % (10180)Memory used [KB]: 1111
% 0.72/0.93 % (10180)Time elapsed: 0.005 s
% 0.72/0.93 % (10180)Instructions burned: 8 (million)
% 0.72/0.93 % (10183)Refutation not found, incomplete strategy% (10183)------------------------------
% 0.72/0.93 % (10183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.93 % (10183)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.93
% 0.72/0.93 % (10183)Memory used [KB]: 1085
% 0.72/0.93 % (10183)Time elapsed: 0.005 s
% 0.72/0.93 % (10183)Instructions burned: 7 (million)
% 0.72/0.93 % (10180)------------------------------
% 0.72/0.93 % (10180)------------------------------
% 0.72/0.93 % (10183)------------------------------
% 0.72/0.93 % (10183)------------------------------
% 0.72/0.93 % (10185)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 theBenchmark for (2994ds/42Mi)
% 0.72/0.93 % (10186)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 theBenchmark for (2994ds/243Mi)
% 0.72/0.93 % (10187)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.80/0.93 % (10185)Refutation not found, incomplete strategy% (10185)------------------------------
% 0.80/0.93 % (10185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.93 % (10185)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.93
% 0.80/0.93 % (10185)Memory used [KB]: 1043
% 0.80/0.93 % (10185)Time elapsed: 0.004 s
% 0.80/0.93 % (10185)Instructions burned: 5 (million)
% 0.80/0.93 % (10185)------------------------------
% 0.80/0.93 % (10185)------------------------------
% 0.80/0.93 % (10187)Refutation not found, incomplete strategy% (10187)------------------------------
% 0.80/0.93 % (10187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.93 % (10187)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.93
% 0.80/0.93 % (10187)Memory used [KB]: 1028
% 0.80/0.93 % (10187)Time elapsed: 0.003 s
% 0.80/0.93 % (10187)Instructions burned: 5 (million)
% 0.80/0.93 % (10187)------------------------------
% 0.80/0.93 % (10187)------------------------------
% 0.80/0.94 % (10188)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 theBenchmark for (2994ds/143Mi)
% 0.80/0.94 % (10189)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 theBenchmark for (2994ds/93Mi)
% 0.80/0.94 % (10176)Instruction limit reached!
% 0.80/0.94 % (10176)------------------------------
% 0.80/0.94 % (10176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (10176)Termination reason: Unknown
% 0.80/0.94 % (10176)Termination phase: Saturation
% 0.80/0.94
% 0.80/0.94 % (10176)Memory used [KB]: 1647
% 0.80/0.94 % (10176)Time elapsed: 0.022 s
% 0.80/0.94 % (10176)Instructions burned: 46 (million)
% 0.80/0.94 % (10176)------------------------------
% 0.80/0.94 % (10176)------------------------------
% 0.80/0.94 % (10188)Refutation not found, incomplete strategy% (10188)------------------------------
% 0.80/0.94 % (10188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (10188)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.94
% 0.80/0.94 % (10188)Memory used [KB]: 1092
% 0.80/0.94 % (10188)Time elapsed: 0.004 s
% 0.80/0.94 % (10188)Instructions burned: 5 (million)
% 0.80/0.94 % (10188)------------------------------
% 0.80/0.94 % (10188)------------------------------
% 0.80/0.94 % (10186)Refutation not found, incomplete strategy% (10186)------------------------------
% 0.80/0.94 % (10186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (10186)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.94
% 0.80/0.94 % (10186)Memory used [KB]: 1189
% 0.80/0.94 % (10186)Time elapsed: 0.011 s
% 0.80/0.94 % (10186)Instructions burned: 18 (million)
% 0.80/0.94 % (10186)------------------------------
% 0.80/0.94 % (10186)------------------------------
% 0.80/0.94 % (10190)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 theBenchmark for (2994ds/62Mi)
% 0.80/0.94 % (10172)Instruction limit reached!
% 0.80/0.94 % (10172)------------------------------
% 0.80/0.94 % (10172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (10172)Termination reason: Unknown
% 0.80/0.94 % (10172)Termination phase: Saturation
% 0.80/0.94
% 0.80/0.94 % (10172)Memory used [KB]: 1731
% 0.80/0.94 % (10172)Time elapsed: 0.027 s
% 0.80/0.94 % (10172)Instructions burned: 52 (million)
% 0.80/0.94 % (10172)------------------------------
% 0.80/0.94 % (10172)------------------------------
% 0.80/0.94 % (10191)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 theBenchmark for (2994ds/32Mi)
% 0.80/0.94 % (10190)Refutation not found, incomplete strategy% (10190)------------------------------
% 0.80/0.94 % (10190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (10190)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.94
% 0.80/0.94 % (10190)Memory used [KB]: 1027
% 0.80/0.94 % (10190)Time elapsed: 0.003 s
% 0.80/0.94 % (10190)Instructions burned: 4 (million)
% 0.80/0.94 % (10190)------------------------------
% 0.80/0.94 % (10190)------------------------------
% 0.80/0.94 % (10192)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 theBenchmark for (2994ds/1919Mi)
% 0.80/0.95 % (10193)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 theBenchmark for (2994ds/55Mi)
% 0.80/0.95 % (10194)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 theBenchmark for (2994ds/53Mi)
% 0.80/0.95 % (10191)Refutation not found, incomplete strategy% (10191)------------------------------
% 0.80/0.95 % (10191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.95 % (10191)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95
% 0.80/0.95 % (10191)Memory used [KB]: 1088
% 0.80/0.95 % (10191)Time elapsed: 0.006 s
% 0.80/0.95 % (10191)Instructions burned: 8 (million)
% 0.80/0.95 % (10191)------------------------------
% 0.80/0.95 % (10191)------------------------------
% 0.80/0.95 % (10192)Refutation not found, incomplete strategy% (10192)------------------------------
% 0.80/0.95 % (10192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.95 % (10192)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95
% 0.80/0.95 % (10192)Memory used [KB]: 1085
% 0.80/0.95 % (10192)Time elapsed: 0.005 s
% 0.80/0.95 % (10192)Instructions burned: 8 (million)
% 0.80/0.95 % (10192)------------------------------
% 0.80/0.95 % (10192)------------------------------
% 0.80/0.95 % (10193)Refutation not found, incomplete strategy% (10193)------------------------------
% 0.80/0.95 % (10193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.95 % (10193)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95
% 0.80/0.95 % (10193)Memory used [KB]: 1118
% 0.80/0.95 % (10193)Time elapsed: 0.004 s
% 0.80/0.95 % (10193)Instructions burned: 6 (million)
% 0.80/0.95 % (10193)------------------------------
% 0.80/0.95 % (10193)------------------------------
% 0.80/0.95 % (10195)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 theBenchmark for (2994ds/46Mi)
% 0.80/0.95 % (10196)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 theBenchmark for (2994ds/102Mi)
% 0.80/0.95 % (10197)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 theBenchmark for (2994ds/35Mi)
% 0.80/0.95 % (10195)Refutation not found, incomplete strategy% (10195)------------------------------
% 0.80/0.95 % (10195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.95 % (10195)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95
% 0.80/0.95 % (10195)Memory used [KB]: 1098
% 0.80/0.95 % (10195)Time elapsed: 0.003 s
% 0.80/0.95 % (10195)Instructions burned: 4 (million)
% 0.80/0.95 % (10195)------------------------------
% 0.80/0.95 % (10195)------------------------------
% 0.80/0.96 % (10178)Instruction limit reached!
% 0.80/0.96 % (10178)------------------------------
% 0.80/0.96 % (10178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.96 % (10178)Termination reason: Unknown
% 0.80/0.96 % (10178)Termination phase: Saturation
% 0.80/0.96
% 0.80/0.96 % (10178)Memory used [KB]: 1865
% 0.80/0.96 % (10178)Time elapsed: 0.040 s
% 0.80/0.96 % (10178)Instructions burned: 84 (million)
% 0.80/0.96 % (10178)------------------------------
% 0.80/0.96 % (10178)------------------------------
% 0.80/0.96 % (10196)Refutation not found, incomplete strategy% (10196)------------------------------
% 0.80/0.96 % (10196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.96 % (10196)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.96
% 0.80/0.96 % (10198)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 0.80/0.96 % (10196)Memory used [KB]: 1114
% 0.80/0.96 % (10196)Time elapsed: 0.006 s
% 0.80/0.96 % (10196)Instructions burned: 8 (million)
% 0.80/0.96 % (10196)------------------------------
% 0.80/0.96 % (10196)------------------------------
% 0.80/0.96 % (10199)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 theBenchmark for (2994ds/109Mi)
% 0.80/0.96 % (10200)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 theBenchmark for (2994ds/161Mi)
% 0.80/0.96 % (10200)Refutation not found, incomplete strategy% (10200)------------------------------
% 0.80/0.96 % (10200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.96 % (10200)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.96
% 0.80/0.96 % (10200)Memory used [KB]: 1005
% 0.80/0.96 % (10200)Time elapsed: 0.004 s
% 0.80/0.96 % (10200)Instructions burned: 5 (million)
% 0.80/0.96 % (10200)------------------------------
% 0.80/0.96 % (10200)------------------------------
% 0.97/0.97 % (10201)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 theBenchmark for (2994ds/69Mi)
% 0.97/0.97 % (10194)Refutation not found, incomplete strategy% (10194)------------------------------
% 0.97/0.97 % (10194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.97 % (10194)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.97
% 0.97/0.97 % (10194)Memory used [KB]: 1136
% 0.97/0.97 % (10194)Time elapsed: 0.023 s
% 0.97/0.97 % (10194)Instructions burned: 44 (million)
% 0.97/0.97 % (10194)------------------------------
% 0.97/0.97 % (10194)------------------------------
% 0.97/0.97 % (10201)Refutation not found, incomplete strategy% (10201)------------------------------
% 0.97/0.97 % (10201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.97 % (10201)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.97
% 0.97/0.97 % (10201)Memory used [KB]: 1113
% 0.97/0.97 % (10201)Time elapsed: 0.004 s
% 0.97/0.97 % (10201)Instructions burned: 5 (million)
% 0.97/0.97 % (10197)Instruction limit reached!
% 0.97/0.97 % (10197)------------------------------
% 0.97/0.97 % (10197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.97 % (10197)Termination reason: Unknown
% 0.97/0.97 % (10197)Termination phase: Saturation
% 0.97/0.97
% 0.97/0.97 % (10197)Memory used [KB]: 1198
% 0.97/0.97 % (10197)Time elapsed: 0.018 s
% 0.97/0.97 % (10197)Instructions burned: 35 (million)
% 0.97/0.97 % (10197)------------------------------
% 0.97/0.97 % (10197)------------------------------
% 0.97/0.97 % (10201)------------------------------
% 0.97/0.97 % (10201)------------------------------
% 0.97/0.97 % (10202)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 theBenchmark for (2994ds/40Mi)
% 0.97/0.97 % (10203)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 theBenchmark for (2994ds/360Mi)
% 0.97/0.97 % (10204)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 theBenchmark for (2994ds/161Mi)
% 0.97/0.98 % (10189)Instruction limit reached!
% 0.97/0.98 % (10189)------------------------------
% 0.97/0.98 % (10189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.98 % (10189)Termination reason: Unknown
% 0.97/0.98 % (10189)Termination phase: Saturation
% 0.97/0.98
% 0.97/0.98 % (10189)Memory used [KB]: 2208
% 0.97/0.98 % (10189)Time elapsed: 0.046 s
% 0.97/0.98 % (10189)Instructions burned: 94 (million)
% 0.97/0.98 % (10189)------------------------------
% 0.97/0.98 % (10189)------------------------------
% 0.97/0.98 % (10205)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 0.97/0.99 % (10202)Instruction limit reached!
% 0.97/0.99 % (10202)------------------------------
% 0.97/0.99 % (10202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.99 % (10202)Termination reason: Unknown
% 0.97/0.99 % (10202)Termination phase: Saturation
% 0.97/0.99
% 0.97/0.99 % (10202)Memory used [KB]: 1497
% 0.97/0.99 % (10202)Time elapsed: 0.022 s
% 0.97/0.99 % (10202)Instructions burned: 40 (million)
% 0.97/0.99 % (10202)------------------------------
% 0.97/0.99 % (10202)------------------------------
% 0.97/0.99 % (10198)Instruction limit reached!
% 0.97/0.99 % (10198)------------------------------
% 0.97/0.99 % (10198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.99 % (10198)Termination reason: Unknown
% 0.97/0.99 % (10198)Termination phase: Saturation
% 0.97/0.99
% 0.97/0.99 % (10198)Memory used [KB]: 1392
% 0.97/0.99 % (10198)Time elapsed: 0.039 s
% 0.97/0.99 % (10198)Instructions burned: 88 (million)
% 0.97/0.99 % (10198)------------------------------
% 0.97/0.99 % (10198)------------------------------
% 0.97/0.99 % (10205)Refutation not found, incomplete strategy% (10205)------------------------------
% 0.97/0.99 % (10205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.99 % (10205)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.99
% 0.97/0.99 % (10205)Memory used [KB]: 1097
% 0.97/0.99 % (10205)Time elapsed: 0.011 s
% 0.97/0.99 % (10205)Instructions burned: 21 (million)
% 0.97/0.99 % (10205)------------------------------
% 0.97/0.99 % (10205)------------------------------
% 0.97/0.99 % (10206)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 theBenchmark for (2993ds/37Mi)
% 0.97/1.00 % (10207)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 theBenchmark for (2993ds/55Mi)
% 0.97/1.00 % (10208)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 theBenchmark for (2993ds/47Mi)
% 0.97/1.00 % (10207)Refutation not found, incomplete strategy% (10207)------------------------------
% 0.97/1.00 % (10207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/1.00 % (10207)Termination reason: Refutation not found, incomplete strategy
% 0.97/1.00
% 0.97/1.00 % (10207)Memory used [KB]: 1113
% 0.97/1.00 % (10207)Time elapsed: 0.006 s
% 0.97/1.00 % (10207)Instructions burned: 8 (million)
% 0.97/1.00 % (10207)------------------------------
% 0.97/1.00 % (10207)------------------------------
% 0.97/1.00 % (10203)First to succeed.
% 0.97/1.00 % (10209)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2993ds/32Mi)
% 0.97/1.01 % (10209)Refutation not found, incomplete strategy% (10209)------------------------------
% 0.97/1.01 % (10209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/1.01 % (10209)Termination reason: Refutation not found, incomplete strategy
% 0.97/1.01
% 0.97/1.01 % (10209)Memory used [KB]: 1027
% 0.97/1.01 % (10209)Time elapsed: 0.004 s
% 0.97/1.01 % (10209)Instructions burned: 5 (million)
% 0.97/1.01 % (10203)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10170"
% 0.97/1.01 % (10209)------------------------------
% 0.97/1.01 % (10209)------------------------------
% 0.97/1.01 % (10203)Refutation found. Thanks to Tanya!
% 0.97/1.01 % SZS status Unsatisfiable for theBenchmark
% 0.97/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.97/1.01 % (10203)------------------------------
% 0.97/1.01 % (10203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/1.01 % (10203)Termination reason: Refutation
% 0.97/1.01
% 0.97/1.01 % (10203)Memory used [KB]: 1501
% 0.97/1.01 % (10203)Time elapsed: 0.037 s
% 0.97/1.01 % (10203)Instructions burned: 67 (million)
% 0.97/1.01 % (10170)Success in time 0.623 s
% 0.97/1.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------