TSTP Solution File: GRP282-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP282-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 02:28:23 EDT 2024
% Result : Unsatisfiable 0.87s 0.83s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 100
% Syntax : Number of formulae : 484 ( 40 unt; 0 def)
% Number of atoms : 1892 ( 430 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 2613 (1205 ~;1386 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 23 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 114 ( 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1346,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f145,f150,f155,f160,f165,f170,f175,f180,f181,f182,f183,f184,f185,f186,f187,f192,f193,f194,f195,f196,f197,f198,f199,f204,f205,f206,f207,f208,f209,f210,f211,f216,f217,f218,f219,f220,f221,f222,f223,f228,f229,f230,f231,f232,f233,f234,f235,f264,f497,f522,f528,f531,f534,f544,f717,f779,f783,f798,f807,f813,f874,f935,f1055,f1170,f1214,f1343]) ).
fof(f1343,plain,
( ~ spl26_1
| ~ spl26_2
| spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(subsumption_resolution,[],[f1341,f1302]) ).
fof(f1302,plain,
( sk_c9 != sk_c7
| ~ spl26_1
| spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f143,f1300]) ).
fof(f1300,plain,
( sk_c7 = sF14
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1299,f1294]) ).
fof(f1294,plain,
( sk_c7 = sk_c3
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1278,f1287]) ).
fof(f1287,plain,
( sk_c8 = sk_c7
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1286,f1275]) ).
fof(f1275,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl26_1 ),
inference(forward_demodulation,[],[f69,f135]) ).
fof(f135,plain,
( sk_c7 = sF13
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl26_1
<=> sk_c7 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f69,plain,
multiply(sk_c9,sk_c8) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1286,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f554,f1278]) ).
fof(f554,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl26_12 ),
inference(backward_demodulation,[],[f103,f203]) ).
fof(f203,plain,
( sk_c8 = sF23
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl26_12
<=> sk_c8 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f103,plain,
multiply(sk_c9,sk_c3) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f1278,plain,
( sk_c8 = sk_c3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1277,f179]) ).
fof(f179,plain,
( sk_c8 = sF21
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl26_10
<=> sk_c8 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f1277,plain,
( sk_c3 = sF21
| ~ spl26_4
| ~ spl26_11
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1080,f215]) ).
fof(f215,plain,
( sk_c3 = sF24
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl26_13
<=> sk_c3 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f1080,plain,
( sF21 = sF24
| ~ spl26_4
| ~ spl26_11
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1075,f85]) ).
fof(f85,plain,
multiply(sk_c1,sk_c9) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f1075,plain,
( multiply(sk_c1,sk_c9) = sF24
| ~ spl26_4
| ~ spl26_11
| ~ spl26_14 ),
inference(backward_demodulation,[],[f112,f1072]) ).
fof(f1072,plain,
( sk_c1 = sk_c2
| ~ spl26_4
| ~ spl26_11
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1071,f1067]) ).
fof(f1067,plain,
( sk_c2 = multiply(sk_c7,identity)
| ~ spl26_4
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1065,f942]) ).
fof(f942,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl26_4 ),
inference(backward_demodulation,[],[f73,f149]) ).
fof(f149,plain,
( sk_c7 = sF15
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl26_4
<=> sk_c7 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f73,plain,
inverse(sk_c9) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1065,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl26_14 ),
inference(superposition,[],[f292,f549]) ).
fof(f549,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f277,f227]) ).
fof(f227,plain,
( sk_c9 = sF25
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl26_14
<=> sk_c9 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f277,plain,
identity = multiply(sF25,sk_c2),
inference(superposition,[],[f2,f121]) ).
fof(f121,plain,
inverse(sk_c2) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',left_inverse) ).
fof(f292,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f280,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',left_identity) ).
fof(f280,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',associativity) ).
fof(f1071,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl26_4
| ~ spl26_11 ),
inference(forward_demodulation,[],[f1069,f942]) ).
fof(f1069,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl26_11 ),
inference(superposition,[],[f292,f563]) ).
fof(f563,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f276,f191]) ).
fof(f191,plain,
( sk_c9 = sF22
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl26_11
<=> sk_c9 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f276,plain,
identity = multiply(sF22,sk_c1),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
inverse(sk_c1) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f112,plain,
multiply(sk_c2,sk_c9) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f1299,plain,
( sk_c3 = sF14
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1298,f1283]) ).
fof(f1283,plain,
( sF14 = multiply(sk_c7,sk_c7)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f71,f1281]) ).
fof(f1281,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1279,f1276]) ).
fof(f1276,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl26_1 ),
inference(forward_demodulation,[],[f281,f135]) ).
fof(f281,plain,
! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sF13,X0),
inference(superposition,[],[f3,f69]) ).
fof(f1279,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f555,f1278]) ).
fof(f555,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl26_12 ),
inference(backward_demodulation,[],[f282,f203]) ).
fof(f282,plain,
! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = multiply(sF23,X0),
inference(superposition,[],[f3,f103]) ).
fof(f71,plain,
multiply(sk_c8,sk_c7) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1298,plain,
( sk_c3 = multiply(sk_c7,sk_c7)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1027,f1287]) ).
fof(f1027,plain,
( sk_c3 = multiply(sk_c7,sk_c8)
| ~ spl26_4
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1025,f942]) ).
fof(f1025,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl26_12 ),
inference(superposition,[],[f292,f554]) ).
fof(f143,plain,
( sk_c9 != sF14
| spl26_3 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl26_3
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f1341,plain,
( sk_c9 = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1338,f942]) ).
fof(f1338,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1332,f1335]) ).
fof(f1335,plain,
( identity = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1292,f2]) ).
fof(f1292,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1033,f1287]) ).
fof(f1033,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl26_2 ),
inference(superposition,[],[f292,f1012]) ).
fof(f1012,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl26_2 ),
inference(forward_demodulation,[],[f68,f139]) ).
fof(f139,plain,
( sk_c7 = sF12
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl26_2
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f68,plain,
multiply(sk_c8,sk_c9) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1332,plain,
( sk_c9 = inverse(identity)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f565,f1330]) ).
fof(f1330,plain,
( identity = sk_c1
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1073,f1305]) ).
fof(f1305,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1304,f950]) ).
fof(f950,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl26_4 ),
inference(superposition,[],[f292,f942]) ).
fof(f1304,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1034,f1287]) ).
fof(f1034,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl26_2 ),
inference(superposition,[],[f3,f1012]) ).
fof(f1073,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl26_4
| ~ spl26_11
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1067,f1072]) ).
fof(f565,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f94,f191]) ).
fof(f1214,plain,
( ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1212,f55]) ).
fof(f55,plain,
~ sP2(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1212,plain,
( sP2(sk_c9)
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1211,f56]) ).
fof(f56,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1211,plain,
( sP3(sk_c9)
| sP2(sk_c9)
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_21 ),
inference(superposition,[],[f1208,f1141]) ).
fof(f1141,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(backward_demodulation,[],[f942,f1122]) ).
fof(f1122,plain,
( sk_c9 = sk_c7
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(backward_demodulation,[],[f940,f1109]) ).
fof(f1109,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(backward_demodulation,[],[f1093,f1098]) ).
fof(f1098,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f950,f1086]) ).
fof(f1086,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1,f1085]) ).
fof(f1085,plain,
( identity = sk_c7
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1083,f2]) ).
fof(f1083,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f292,f599]) ).
fof(f599,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f597,f266]) ).
fof(f266,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f81,f169]) ).
fof(f169,plain,
( sk_c6 = sF19
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl26_8
<=> sk_c6 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f81,plain,
inverse(sk_c5) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f597,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl26_7 ),
inference(superposition,[],[f292,f267]) ).
fof(f267,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f79,f164]) ).
fof(f164,plain,
( sk_c7 = sF18
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl26_7
<=> sk_c7 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f79,plain,
multiply(sk_c5,sk_c6) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1093,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = X0
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(backward_demodulation,[],[f1032,f1086]) ).
fof(f1032,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl26_9 ),
inference(superposition,[],[f3,f940]) ).
fof(f940,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl26_9 ),
inference(backward_demodulation,[],[f83,f174]) ).
fof(f174,plain,
( sk_c7 = sF20
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl26_9
<=> sk_c7 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f83,plain,
multiply(sk_c6,sk_c9) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1208,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP2(X6) )
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_21 ),
inference(backward_demodulation,[],[f1139,f1207]) ).
fof(f1207,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1202,f450]) ).
fof(f450,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f292,f292]) ).
fof(f1202,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(superposition,[],[f292,f1172]) ).
fof(f1172,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1087,f1122]) ).
fof(f1087,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f2,f1085]) ).
fof(f1139,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) )
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_21 ),
inference(backward_demodulation,[],[f260,f1122]) ).
fof(f260,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c7))
| sP3(inverse(X6)) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl26_21
<=> ! [X6] :
( sP2(multiply(X6,sk_c7))
| sP3(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f1170,plain,
( ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_11
| ~ spl26_12
| spl26_13
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_11
| ~ spl26_12
| spl26_13
| ~ spl26_14 ),
inference(subsumption_resolution,[],[f1168,f1156]) ).
fof(f1156,plain,
( sk_c9 != sk_c3
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11
| spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1081,f1154]) ).
fof(f1154,plain,
( sk_c9 = sF21
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f1119,f1152]) ).
fof(f1152,plain,
( ! [X0] : multiply(sF21,X0) = X0
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(forward_demodulation,[],[f1114,f1108]) ).
fof(f1108,plain,
( ! [X0] : multiply(sF21,X0) = multiply(sk_c1,X0)
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f288,f1098]) ).
fof(f288,plain,
! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sF21,X0),
inference(superposition,[],[f3,f85]) ).
fof(f1114,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f564,f1098]) ).
fof(f564,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl26_11 ),
inference(backward_demodulation,[],[f446,f191]) ).
fof(f446,plain,
! [X0] : multiply(sF22,multiply(sk_c1,X0)) = X0,
inference(superposition,[],[f292,f94]) ).
fof(f1119,plain,
( sF21 = multiply(sF21,sk_c9)
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f85,f1108]) ).
fof(f1081,plain,
( sk_c3 != sF21
| ~ spl26_4
| ~ spl26_11
| spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f214,f1080]) ).
fof(f214,plain,
( sk_c3 != sF24
| spl26_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f1168,plain,
( sk_c9 = sk_c3
| ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1099,f1158]) ).
fof(f1158,plain,
( sk_c9 = sk_c8
| ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1116,f1122]) ).
fof(f1116,plain,
( sk_c8 = sk_c7
| ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f568,f1098]) ).
fof(f568,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl26_1 ),
inference(backward_demodulation,[],[f69,f135]) ).
fof(f1099,plain,
( sk_c8 = sk_c3
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1027,f1086]) ).
fof(f1055,plain,
( ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(avatar_contradiction_clause,[],[f1054]) ).
fof(f1054,plain,
( $false
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1053,f54]) ).
fof(f54,plain,
~ sP1(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1053,plain,
( sP1(sk_c7)
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1052,f267]) ).
fof(f1052,plain,
( sP1(multiply(sk_c5,sk_c6))
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1051,f53]) ).
fof(f53,plain,
~ sP0(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1051,plain,
( sP0(sk_c7)
| sP1(multiply(sk_c5,sk_c6))
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1037,f940]) ).
fof(f1037,plain,
( sP0(multiply(sk_c6,sk_c9))
| sP1(multiply(sk_c5,sk_c6))
| ~ spl26_8
| ~ spl26_22 ),
inference(superposition,[],[f263,f266]) ).
fof(f263,plain,
( ! [X7] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl26_22
<=> ! [X7] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f935,plain,
( spl26_2
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(avatar_split_clause,[],[f934,f225,f213,f201,f133,f137]) ).
fof(f934,plain,
( sk_c7 = sF12
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f933,f916]) ).
fof(f916,plain,
( sF12 = multiply(sk_c9,sk_c9)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f68,f828]) ).
fof(f828,plain,
( sk_c9 = sk_c8
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f827,f554]) ).
fof(f827,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f825,f551]) ).
fof(f551,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f121,f227]) ).
fof(f825,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl26_13 ),
inference(superposition,[],[f292,f553]) ).
fof(f553,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl26_13 ),
inference(backward_demodulation,[],[f112,f215]) ).
fof(f933,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f568,f828]) ).
fof(f874,plain,
( ~ spl26_1
| ~ spl26_2
| spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f873]) ).
fof(f873,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(subsumption_resolution,[],[f872,f822]) ).
fof(f822,plain,
( sk_c9 != sF15
| ~ spl26_1
| spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f148,f607]) ).
fof(f607,plain,
( sk_c9 = sk_c7
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f606,f568]) ).
fof(f606,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f604,f565]) ).
fof(f604,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl26_10 ),
inference(superposition,[],[f292,f567]) ).
fof(f567,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f85,f179]) ).
fof(f148,plain,
( sk_c7 != sF15
| spl26_4 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f872,plain,
( sk_c9 = sF15
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f871,f73]) ).
fof(f871,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f565,f869]) ).
fof(f869,plain,
( sk_c9 = sk_c1
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f848,f844]) ).
fof(f844,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1,f843]) ).
fof(f843,plain,
( identity = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f840,f2]) ).
fof(f840,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f639,f828]) ).
fof(f639,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f602,f607]) ).
fof(f602,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl26_2 ),
inference(superposition,[],[f292,f272]) ).
fof(f272,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl26_2 ),
inference(backward_demodulation,[],[f68,f139]) ).
fof(f848,plain,
( sk_c9 = multiply(sk_c9,sk_c1)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f563,f843]) ).
fof(f813,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f812,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f811,f56]) ).
fof(f811,plain,
( sP3(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(forward_demodulation,[],[f810,f619]) ).
fof(f619,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f270,f607]) ).
fof(f270,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl26_4 ),
inference(backward_demodulation,[],[f73,f149]) ).
fof(f810,plain,
( sP3(inverse(sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(resolution,[],[f809,f55]) ).
fof(f809,plain,
( ! [X6] :
( sP2(X6)
| sP3(inverse(X6)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(forward_demodulation,[],[f808,f773]) ).
fof(f773,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f771,f450]) ).
fof(f771,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(superposition,[],[f292,f744]) ).
fof(f744,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f642,f734]) ).
fof(f734,plain,
( sk_c9 = sk_c8
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f733,f581]) ).
fof(f581,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f554,f577]) ).
fof(f577,plain,
( sk_c9 = sk_c3
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(forward_demodulation,[],[f575,f271]) ).
fof(f271,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl26_3 ),
inference(backward_demodulation,[],[f71,f144]) ).
fof(f144,plain,
( sk_c9 = sF14
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f575,plain,
( multiply(sk_c8,sk_c7) = sk_c3
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f561,f135]) ).
fof(f561,plain,
( sk_c3 = multiply(sk_c8,sF13)
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f303,f557]) ).
fof(f557,plain,
( sk_c3 = multiply(sk_c7,sk_c8)
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f311,f203]) ).
fof(f311,plain,
( sk_c3 = multiply(sk_c7,sF23)
| ~ spl26_4 ),
inference(superposition,[],[f294,f103]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl26_4 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f273]) ).
fof(f273,plain,
( identity = multiply(sk_c7,sk_c9)
| ~ spl26_4 ),
inference(superposition,[],[f2,f270]) ).
fof(f303,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c8,sF13)
| ~ spl26_2 ),
inference(superposition,[],[f284,f69]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl26_2 ),
inference(superposition,[],[f3,f272]) ).
fof(f733,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f731,f551]) ).
fof(f731,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13 ),
inference(superposition,[],[f292,f580]) ).
fof(f580,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13 ),
inference(backward_demodulation,[],[f553,f577]) ).
fof(f642,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(backward_demodulation,[],[f2,f640]) ).
fof(f640,plain,
( identity = sk_c8
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(forward_demodulation,[],[f622,f581]) ).
fof(f622,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f273,f607]) ).
fof(f808,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) )
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(forward_demodulation,[],[f260,f607]) ).
fof(f807,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f805,f62]) ).
fof(f62,plain,
~ sP9(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f805,plain,
( sP9(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(forward_demodulation,[],[f804,f619]) ).
fof(f804,plain,
( sP9(inverse(sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(resolution,[],[f803,f736]) ).
fof(f736,plain,
( ~ sP10(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f63,f734]) ).
fof(f63,plain,
~ sP10(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f803,plain,
( ! [X3] :
( sP10(X3)
| sP9(inverse(X3)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(forward_demodulation,[],[f242,f773]) ).
fof(f242,plain,
( ! [X3] :
( sP9(inverse(X3))
| sP10(multiply(X3,sk_c9)) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl26_16
<=> ! [X3] :
( sP9(inverse(X3))
| sP10(multiply(X3,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f798,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f797,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f796,f609]) ).
fof(f609,plain,
( ~ sP1(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f54,f607]) ).
fof(f796,plain,
( sP1(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(forward_demodulation,[],[f795,f748]) ).
fof(f748,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f718,f734]) ).
fof(f718,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(forward_demodulation,[],[f650,f605]) ).
fof(f605,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl26_10 ),
inference(superposition,[],[f3,f567]) ).
fof(f650,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(backward_demodulation,[],[f566,f641]) ).
fof(f641,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1,f640]) ).
fof(f566,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl26_10 ),
inference(backward_demodulation,[],[f288,f179]) ).
fof(f795,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f792,f608]) ).
fof(f608,plain,
( ~ sP0(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f53,f607]) ).
fof(f792,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c9,sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(superposition,[],[f784,f619]) ).
fof(f784,plain,
( ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(forward_demodulation,[],[f263,f773]) ).
fof(f783,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f782,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f781,f780]) ).
fof(f780,plain,
( ~ sP6(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f59,f607]) ).
fof(f59,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f781,plain,
( sP6(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(forward_demodulation,[],[f249,f612]) ).
fof(f612,plain,
( sk_c9 = sF12
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f139,f607]) ).
fof(f249,plain,
( sP6(sF12)
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl26_18
<=> sP6(sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f779,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f777,f60]) ).
fof(f60,plain,
~ sP7(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f777,plain,
( sP7(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(forward_demodulation,[],[f776,f619]) ).
fof(f776,plain,
( sP7(inverse(sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(resolution,[],[f774,f735]) ).
fof(f735,plain,
( ~ sP8(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f61,f734]) ).
fof(f61,plain,
~ sP8(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f774,plain,
( ! [X5] :
( sP8(X5)
| sP7(inverse(X5)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(backward_demodulation,[],[f756,f773]) ).
fof(f756,plain,
( ! [X5] :
( sP8(multiply(X5,sk_c9))
| sP7(inverse(X5)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(backward_demodulation,[],[f245,f748]) ).
fof(f245,plain,
( ! [X5] :
( sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9))) )
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl26_17
<=> ! [X5] :
( sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f717,plain,
( ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f715,f714]) ).
fof(f714,plain,
( ~ sP11(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f569,f607]) ).
fof(f569,plain,
( ~ sP11(sk_c7)
| ~ spl26_1 ),
inference(backward_demodulation,[],[f130,f135]) ).
fof(f130,plain,
~ sP11(sF13),
inference(definition_folding,[],[f64,f69]) ).
fof(f64,plain,
~ sP11(multiply(sk_c9,sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f715,plain,
( sP11(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_15 ),
inference(forward_demodulation,[],[f239,f607]) ).
fof(f239,plain,
( sP11(sk_c7)
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl26_15
<=> sP11(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f544,plain,
( ~ spl26_4
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| ~ spl26_4
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f57,f541]) ).
fof(f541,plain,
( sP4(sk_c7)
| ~ spl26_4
| ~ spl26_20 ),
inference(backward_demodulation,[],[f257,f149]) ).
fof(f257,plain,
( sP4(sF15)
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl26_20
<=> sP4(sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f57,plain,
~ sP4(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f534,plain,
( ~ spl26_3
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f533,plain,
( $false
| ~ spl26_3
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f532,f58]) ).
fof(f58,plain,
~ sP5(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f532,plain,
( sP5(sk_c9)
| ~ spl26_3
| ~ spl26_19 ),
inference(forward_demodulation,[],[f253,f144]) ).
fof(f253,plain,
( sP5(sF14)
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl26_19
<=> sP5(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f531,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f530,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f529,f373]) ).
fof(f373,plain,
( ~ sP6(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f59,f369]) ).
fof(f369,plain,
( sk_c9 = sk_c7
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f368,f270]) ).
fof(f368,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f269,f362]) ).
fof(f362,plain,
( sk_c9 = sk_c4
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f343,f358]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f346,f345]) ).
fof(f345,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f336,f294]) ).
fof(f336,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f284,f330]) ).
fof(f330,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f317,f329]) ).
fof(f329,plain,
( ! [X0] : multiply(sF13,X0) = X0
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f328,f281]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f296,f325]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,X0)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6 ),
inference(forward_demodulation,[],[f320,f313]) ).
fof(f313,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f283,f294]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c9,X0)
| ~ spl26_3 ),
inference(superposition,[],[f3,f271]) ).
fof(f320,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl26_4
| ~ spl26_6 ),
inference(superposition,[],[f285,f294]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f268]) ).
fof(f268,plain,
( sk_c9 = multiply(sk_c4,sk_c7)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f77,f159]) ).
fof(f159,plain,
( sk_c9 = sF17
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl26_6
<=> sk_c9 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f77,plain,
multiply(sk_c4,sk_c7) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl26_5 ),
inference(forward_demodulation,[],[f295,f1]) ).
fof(f295,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl26_5 ),
inference(superposition,[],[f3,f274]) ).
fof(f274,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl26_5 ),
inference(superposition,[],[f2,f269]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sF13,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f310]) ).
fof(f310,plain,
( sk_c8 = multiply(sk_c7,sF13)
| ~ spl26_4 ),
inference(superposition,[],[f294,f69]) ).
fof(f346,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c9,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f335,f345]) ).
fof(f335,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f283,f330]) ).
fof(f343,plain,
( sk_c4 = multiply(sk_c9,sk_c9)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f334,f312]) ).
fof(f312,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f294,f274]) ).
fof(f334,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c7,identity)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f299,f330]) ).
fof(f299,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c8,identity)
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f283,f273]) ).
fof(f269,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f75,f154]) ).
fof(f154,plain,
( sk_c9 = sF16
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl26_5
<=> sk_c9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f75,plain,
inverse(sk_c4) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f529,plain,
( sP6(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_18 ),
inference(forward_demodulation,[],[f249,f374]) ).
fof(f374,plain,
( sk_c9 = sF12
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f139,f369]) ).
fof(f528,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f526,f60]) ).
fof(f526,plain,
( sP7(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(forward_demodulation,[],[f525,f381]) ).
fof(f381,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f270,f369]) ).
fof(f525,plain,
( sP7(inverse(sk_c9))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(resolution,[],[f524,f490]) ).
fof(f490,plain,
( ~ sP8(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f61,f480]) ).
fof(f480,plain,
( sk_c9 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f463,f384]) ).
fof(f384,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f329,f363]) ).
fof(f363,plain,
( sk_c8 = sF13
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f69,f358]) ).
fof(f463,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f449,f450]) ).
fof(f449,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f292,f387]) ).
fof(f387,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f2,f385]) ).
fof(f385,plain,
( identity = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f364,f362]) ).
fof(f364,plain,
( identity = sk_c4
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f274,f358]) ).
fof(f524,plain,
( ! [X5] :
( sP8(X5)
| sP7(inverse(X5)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(forward_demodulation,[],[f523,f463]) ).
fof(f523,plain,
( ! [X5] :
( sP8(multiply(X5,sk_c9))
| sP7(inverse(X5)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(forward_demodulation,[],[f245,f358]) ).
fof(f522,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f521]) ).
fof(f521,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f520,f62]) ).
fof(f520,plain,
( sP9(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(forward_demodulation,[],[f519,f381]) ).
fof(f519,plain,
( sP9(inverse(sk_c9))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(resolution,[],[f509,f491]) ).
fof(f491,plain,
( ~ sP10(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f63,f480]) ).
fof(f509,plain,
( ! [X3] :
( sP10(X3)
| sP9(inverse(X3)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(forward_demodulation,[],[f242,f463]) ).
fof(f497,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f496,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f493,f378]) ).
fof(f378,plain,
( sP11(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_15 ),
inference(backward_demodulation,[],[f239,f369]) ).
fof(f493,plain,
( ~ sP11(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f383,f480]) ).
fof(f383,plain,
( ~ sP11(sk_c8)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f130,f363]) ).
fof(f264,plain,
( spl26_15
| spl26_16
| spl26_17
| spl26_18
| spl26_19
| spl26_20
| spl26_21
| spl26_22 ),
inference(avatar_split_clause,[],[f131,f262,f259,f255,f251,f247,f244,f241,f237]) ).
fof(f131,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(sF15)
| sP5(sF14)
| sP6(sF12)
| sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9)))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(definition_folding,[],[f67,f68,f71,f73]) ).
fof(f67,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(inverse(sk_c9))
| sP5(multiply(sk_c8,sk_c7))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9)))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(inverse(sk_c9))
| sP5(multiply(sk_c8,sk_c7))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X5))
| multiply(X5,sk_c9) != X4
| sP8(multiply(sk_c9,X4))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X8,X6,X7,X4,X5] :
( sP0(multiply(X8,sk_c9))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(inverse(sk_c9))
| sP5(multiply(sk_c8,sk_c7))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X5))
| multiply(X5,sk_c9) != X4
| sP8(multiply(sk_c9,X4))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(inequality_splitting,[],[f52,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f52,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X8,sk_c9)
| inverse(X7) != X8
| sk_c7 != multiply(X7,X8)
| sk_c9 != multiply(X6,sk_c7)
| sk_c9 != inverse(X6)
| sk_c7 != inverse(sk_c9)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c9,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_49) ).
fof(f235,plain,
( spl26_14
| spl26_9 ),
inference(avatar_split_clause,[],[f129,f172,f225]) ).
fof(f129,plain,
( sk_c7 = sF20
| sk_c9 = sF25 ),
inference(definition_folding,[],[f51,f121,f83]) ).
fof(f51,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_48) ).
fof(f234,plain,
( spl26_14
| spl26_8 ),
inference(avatar_split_clause,[],[f128,f167,f225]) ).
fof(f128,plain,
( sk_c6 = sF19
| sk_c9 = sF25 ),
inference(definition_folding,[],[f50,f121,f81]) ).
fof(f50,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_47) ).
fof(f233,plain,
( spl26_14
| spl26_7 ),
inference(avatar_split_clause,[],[f127,f162,f225]) ).
fof(f127,plain,
( sk_c7 = sF18
| sk_c9 = sF25 ),
inference(definition_folding,[],[f49,f121,f79]) ).
fof(f49,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_46) ).
fof(f232,plain,
( spl26_14
| spl26_6 ),
inference(avatar_split_clause,[],[f126,f157,f225]) ).
fof(f126,plain,
( sk_c9 = sF17
| sk_c9 = sF25 ),
inference(definition_folding,[],[f48,f121,f77]) ).
fof(f48,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_45) ).
fof(f231,plain,
( spl26_14
| spl26_5 ),
inference(avatar_split_clause,[],[f125,f152,f225]) ).
fof(f125,plain,
( sk_c9 = sF16
| sk_c9 = sF25 ),
inference(definition_folding,[],[f47,f121,f75]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_44) ).
fof(f230,plain,
( spl26_14
| spl26_4 ),
inference(avatar_split_clause,[],[f124,f147,f225]) ).
fof(f124,plain,
( sk_c7 = sF15
| sk_c9 = sF25 ),
inference(definition_folding,[],[f46,f121,f73]) ).
fof(f46,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_43) ).
fof(f229,plain,
( spl26_14
| spl26_3 ),
inference(avatar_split_clause,[],[f123,f142,f225]) ).
fof(f123,plain,
( sk_c9 = sF14
| sk_c9 = sF25 ),
inference(definition_folding,[],[f45,f121,f71]) ).
fof(f45,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_42) ).
fof(f228,plain,
( spl26_14
| spl26_2 ),
inference(avatar_split_clause,[],[f122,f137,f225]) ).
fof(f122,plain,
( sk_c7 = sF12
| sk_c9 = sF25 ),
inference(definition_folding,[],[f44,f121,f68]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_41) ).
fof(f223,plain,
( spl26_13
| spl26_9 ),
inference(avatar_split_clause,[],[f120,f172,f213]) ).
fof(f120,plain,
( sk_c7 = sF20
| sk_c3 = sF24 ),
inference(definition_folding,[],[f43,f112,f83]) ).
fof(f43,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_40) ).
fof(f222,plain,
( spl26_13
| spl26_8 ),
inference(avatar_split_clause,[],[f119,f167,f213]) ).
fof(f119,plain,
( sk_c6 = sF19
| sk_c3 = sF24 ),
inference(definition_folding,[],[f42,f112,f81]) ).
fof(f42,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_39) ).
fof(f221,plain,
( spl26_13
| spl26_7 ),
inference(avatar_split_clause,[],[f118,f162,f213]) ).
fof(f118,plain,
( sk_c7 = sF18
| sk_c3 = sF24 ),
inference(definition_folding,[],[f41,f112,f79]) ).
fof(f41,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_38) ).
fof(f220,plain,
( spl26_13
| spl26_6 ),
inference(avatar_split_clause,[],[f117,f157,f213]) ).
fof(f117,plain,
( sk_c9 = sF17
| sk_c3 = sF24 ),
inference(definition_folding,[],[f40,f112,f77]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_37) ).
fof(f219,plain,
( spl26_13
| spl26_5 ),
inference(avatar_split_clause,[],[f116,f152,f213]) ).
fof(f116,plain,
( sk_c9 = sF16
| sk_c3 = sF24 ),
inference(definition_folding,[],[f39,f112,f75]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_36) ).
fof(f218,plain,
( spl26_13
| spl26_4 ),
inference(avatar_split_clause,[],[f115,f147,f213]) ).
fof(f115,plain,
( sk_c7 = sF15
| sk_c3 = sF24 ),
inference(definition_folding,[],[f38,f112,f73]) ).
fof(f38,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_35) ).
fof(f217,plain,
( spl26_13
| spl26_3 ),
inference(avatar_split_clause,[],[f114,f142,f213]) ).
fof(f114,plain,
( sk_c9 = sF14
| sk_c3 = sF24 ),
inference(definition_folding,[],[f37,f112,f71]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_34) ).
fof(f216,plain,
( spl26_13
| spl26_2 ),
inference(avatar_split_clause,[],[f113,f137,f213]) ).
fof(f113,plain,
( sk_c7 = sF12
| sk_c3 = sF24 ),
inference(definition_folding,[],[f36,f112,f68]) ).
fof(f36,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_33) ).
fof(f211,plain,
( spl26_12
| spl26_9 ),
inference(avatar_split_clause,[],[f111,f172,f201]) ).
fof(f111,plain,
( sk_c7 = sF20
| sk_c8 = sF23 ),
inference(definition_folding,[],[f35,f103,f83]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_32) ).
fof(f210,plain,
( spl26_12
| spl26_8 ),
inference(avatar_split_clause,[],[f110,f167,f201]) ).
fof(f110,plain,
( sk_c6 = sF19
| sk_c8 = sF23 ),
inference(definition_folding,[],[f34,f103,f81]) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_31) ).
fof(f209,plain,
( spl26_12
| spl26_7 ),
inference(avatar_split_clause,[],[f109,f162,f201]) ).
fof(f109,plain,
( sk_c7 = sF18
| sk_c8 = sF23 ),
inference(definition_folding,[],[f33,f103,f79]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_30) ).
fof(f208,plain,
( spl26_12
| spl26_6 ),
inference(avatar_split_clause,[],[f108,f157,f201]) ).
fof(f108,plain,
( sk_c9 = sF17
| sk_c8 = sF23 ),
inference(definition_folding,[],[f32,f103,f77]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_29) ).
fof(f207,plain,
( spl26_12
| spl26_5 ),
inference(avatar_split_clause,[],[f107,f152,f201]) ).
fof(f107,plain,
( sk_c9 = sF16
| sk_c8 = sF23 ),
inference(definition_folding,[],[f31,f103,f75]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_28) ).
fof(f206,plain,
( spl26_12
| spl26_4 ),
inference(avatar_split_clause,[],[f106,f147,f201]) ).
fof(f106,plain,
( sk_c7 = sF15
| sk_c8 = sF23 ),
inference(definition_folding,[],[f30,f103,f73]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_27) ).
fof(f205,plain,
( spl26_12
| spl26_3 ),
inference(avatar_split_clause,[],[f105,f142,f201]) ).
fof(f105,plain,
( sk_c9 = sF14
| sk_c8 = sF23 ),
inference(definition_folding,[],[f29,f103,f71]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_26) ).
fof(f204,plain,
( spl26_12
| spl26_2 ),
inference(avatar_split_clause,[],[f104,f137,f201]) ).
fof(f104,plain,
( sk_c7 = sF12
| sk_c8 = sF23 ),
inference(definition_folding,[],[f28,f103,f68]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_25) ).
fof(f199,plain,
( spl26_11
| spl26_9 ),
inference(avatar_split_clause,[],[f102,f172,f189]) ).
fof(f102,plain,
( sk_c7 = sF20
| sk_c9 = sF22 ),
inference(definition_folding,[],[f27,f94,f83]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_24) ).
fof(f198,plain,
( spl26_11
| spl26_8 ),
inference(avatar_split_clause,[],[f101,f167,f189]) ).
fof(f101,plain,
( sk_c6 = sF19
| sk_c9 = sF22 ),
inference(definition_folding,[],[f26,f94,f81]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_23) ).
fof(f197,plain,
( spl26_11
| spl26_7 ),
inference(avatar_split_clause,[],[f100,f162,f189]) ).
fof(f100,plain,
( sk_c7 = sF18
| sk_c9 = sF22 ),
inference(definition_folding,[],[f25,f94,f79]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_22) ).
fof(f196,plain,
( spl26_11
| spl26_6 ),
inference(avatar_split_clause,[],[f99,f157,f189]) ).
fof(f99,plain,
( sk_c9 = sF17
| sk_c9 = sF22 ),
inference(definition_folding,[],[f24,f94,f77]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_21) ).
fof(f195,plain,
( spl26_11
| spl26_5 ),
inference(avatar_split_clause,[],[f98,f152,f189]) ).
fof(f98,plain,
( sk_c9 = sF16
| sk_c9 = sF22 ),
inference(definition_folding,[],[f23,f94,f75]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_20) ).
fof(f194,plain,
( spl26_11
| spl26_4 ),
inference(avatar_split_clause,[],[f97,f147,f189]) ).
fof(f97,plain,
( sk_c7 = sF15
| sk_c9 = sF22 ),
inference(definition_folding,[],[f22,f94,f73]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_19) ).
fof(f193,plain,
( spl26_11
| spl26_3 ),
inference(avatar_split_clause,[],[f96,f142,f189]) ).
fof(f96,plain,
( sk_c9 = sF14
| sk_c9 = sF22 ),
inference(definition_folding,[],[f21,f94,f71]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_18) ).
fof(f192,plain,
( spl26_11
| spl26_2 ),
inference(avatar_split_clause,[],[f95,f137,f189]) ).
fof(f95,plain,
( sk_c7 = sF12
| sk_c9 = sF22 ),
inference(definition_folding,[],[f20,f94,f68]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_17) ).
fof(f187,plain,
( spl26_10
| spl26_9 ),
inference(avatar_split_clause,[],[f93,f172,f177]) ).
fof(f93,plain,
( sk_c7 = sF20
| sk_c8 = sF21 ),
inference(definition_folding,[],[f19,f85,f83]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_16) ).
fof(f186,plain,
( spl26_10
| spl26_8 ),
inference(avatar_split_clause,[],[f92,f167,f177]) ).
fof(f92,plain,
( sk_c6 = sF19
| sk_c8 = sF21 ),
inference(definition_folding,[],[f18,f85,f81]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_15) ).
fof(f185,plain,
( spl26_10
| spl26_7 ),
inference(avatar_split_clause,[],[f91,f162,f177]) ).
fof(f91,plain,
( sk_c7 = sF18
| sk_c8 = sF21 ),
inference(definition_folding,[],[f17,f85,f79]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_14) ).
fof(f184,plain,
( spl26_10
| spl26_6 ),
inference(avatar_split_clause,[],[f90,f157,f177]) ).
fof(f90,plain,
( sk_c9 = sF17
| sk_c8 = sF21 ),
inference(definition_folding,[],[f16,f85,f77]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_13) ).
fof(f183,plain,
( spl26_10
| spl26_5 ),
inference(avatar_split_clause,[],[f89,f152,f177]) ).
fof(f89,plain,
( sk_c9 = sF16
| sk_c8 = sF21 ),
inference(definition_folding,[],[f15,f85,f75]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_12) ).
fof(f182,plain,
( spl26_10
| spl26_4 ),
inference(avatar_split_clause,[],[f88,f147,f177]) ).
fof(f88,plain,
( sk_c7 = sF15
| sk_c8 = sF21 ),
inference(definition_folding,[],[f14,f85,f73]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_11) ).
fof(f181,plain,
( spl26_10
| spl26_3 ),
inference(avatar_split_clause,[],[f87,f142,f177]) ).
fof(f87,plain,
( sk_c9 = sF14
| sk_c8 = sF21 ),
inference(definition_folding,[],[f13,f85,f71]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_10) ).
fof(f180,plain,
( spl26_10
| spl26_2 ),
inference(avatar_split_clause,[],[f86,f137,f177]) ).
fof(f86,plain,
( sk_c7 = sF12
| sk_c8 = sF21 ),
inference(definition_folding,[],[f12,f85,f68]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_9) ).
fof(f175,plain,
( spl26_1
| spl26_9 ),
inference(avatar_split_clause,[],[f84,f172,f133]) ).
fof(f84,plain,
( sk_c7 = sF20
| sk_c7 = sF13 ),
inference(definition_folding,[],[f11,f69,f83]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_8) ).
fof(f170,plain,
( spl26_1
| spl26_8 ),
inference(avatar_split_clause,[],[f82,f167,f133]) ).
fof(f82,plain,
( sk_c6 = sF19
| sk_c7 = sF13 ),
inference(definition_folding,[],[f10,f69,f81]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_7) ).
fof(f165,plain,
( spl26_1
| spl26_7 ),
inference(avatar_split_clause,[],[f80,f162,f133]) ).
fof(f80,plain,
( sk_c7 = sF18
| sk_c7 = sF13 ),
inference(definition_folding,[],[f9,f69,f79]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_6) ).
fof(f160,plain,
( spl26_1
| spl26_6 ),
inference(avatar_split_clause,[],[f78,f157,f133]) ).
fof(f78,plain,
( sk_c9 = sF17
| sk_c7 = sF13 ),
inference(definition_folding,[],[f8,f69,f77]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_5) ).
fof(f155,plain,
( spl26_1
| spl26_5 ),
inference(avatar_split_clause,[],[f76,f152,f133]) ).
fof(f76,plain,
( sk_c9 = sF16
| sk_c7 = sF13 ),
inference(definition_folding,[],[f7,f69,f75]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_4) ).
fof(f150,plain,
( spl26_1
| spl26_4 ),
inference(avatar_split_clause,[],[f74,f147,f133]) ).
fof(f74,plain,
( sk_c7 = sF15
| sk_c7 = sF13 ),
inference(definition_folding,[],[f6,f69,f73]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_3) ).
fof(f145,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f72,f142,f133]) ).
fof(f72,plain,
( sk_c9 = sF14
| sk_c7 = sF13 ),
inference(definition_folding,[],[f5,f69,f71]) ).
fof(f5,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_2) ).
fof(f140,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f70,f137,f133]) ).
fof(f70,plain,
( sk_c7 = sF12
| sk_c7 = sF13 ),
inference(definition_folding,[],[f4,f69,f68]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP282-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 18:44:40 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.A811lJ1tT8/Vampire---4.8_7473
% 0.60/0.76 % (7667)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)
% 0.60/0.76 % (7666)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)
% 0.60/0.76 % (7662)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (7663)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)
% 0.60/0.76 % (7661)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)
% 0.60/0.76 % (7664)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)
% 0.60/0.76 % (7665)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)
% 0.60/0.76 % (7660)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)
% 0.60/0.76 % (7667)Refutation not found, incomplete strategy% (7667)------------------------------
% 0.60/0.76 % (7667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7667)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7667)Memory used [KB]: 1012
% 0.60/0.76 % (7667)Time elapsed: 0.002 s
% 0.60/0.76 % (7667)Instructions burned: 5 (million)
% 0.60/0.76 % (7667)------------------------------
% 0.60/0.76 % (7667)------------------------------
% 0.60/0.76 % (7666)Refutation not found, incomplete strategy% (7666)------------------------------
% 0.60/0.76 % (7666)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7666)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7666)Memory used [KB]: 1098
% 0.60/0.76 % (7666)Time elapsed: 0.003 s
% 0.60/0.76 % (7666)Instructions burned: 8 (million)
% 0.60/0.76 % (7666)------------------------------
% 0.60/0.76 % (7666)------------------------------
% 0.60/0.76 % (7663)Refutation not found, incomplete strategy% (7663)------------------------------
% 0.60/0.76 % (7663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7663)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7663)Memory used [KB]: 993
% 0.60/0.76 % (7663)Time elapsed: 0.004 s
% 0.60/0.76 % (7663)Instructions burned: 5 (million)
% 0.60/0.76 % (7663)------------------------------
% 0.60/0.76 % (7663)------------------------------
% 0.60/0.76 % (7660)Refutation not found, incomplete strategy% (7660)------------------------------
% 0.60/0.76 % (7660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7660)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7660)Memory used [KB]: 1011
% 0.60/0.76 % (7660)Time elapsed: 0.004 s
% 0.60/0.76 % (7660)Instructions burned: 5 (million)
% 0.60/0.76 % (7660)------------------------------
% 0.60/0.76 % (7660)------------------------------
% 0.60/0.76 % (7664)Refutation not found, incomplete strategy% (7664)------------------------------
% 0.60/0.76 % (7664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7664)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7664)Memory used [KB]: 1090
% 0.60/0.76 % (7664)Time elapsed: 0.004 s
% 0.60/0.76 % (7664)Instructions burned: 5 (million)
% 0.60/0.76 % (7664)------------------------------
% 0.60/0.76 % (7664)------------------------------
% 0.60/0.76 % (7669)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)
% 0.60/0.76 % (7662)Refutation not found, incomplete strategy% (7662)------------------------------
% 0.60/0.76 % (7662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7662)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7662)Memory used [KB]: 1068
% 0.60/0.76 % (7662)Time elapsed: 0.005 s
% 0.60/0.76 % (7662)Instructions burned: 6 (million)
% 0.60/0.76 % (7662)------------------------------
% 0.60/0.76 % (7662)------------------------------
% 0.60/0.76 % (7665)Refutation not found, incomplete strategy% (7665)------------------------------
% 0.60/0.76 % (7665)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7665)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7665)Memory used [KB]: 1063
% 0.60/0.76 % (7665)Time elapsed: 0.005 s
% 0.60/0.76 % (7665)Instructions burned: 6 (million)
% 0.60/0.76 % (7665)------------------------------
% 0.60/0.76 % (7665)------------------------------
% 0.60/0.76 % (7671)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)
% 0.60/0.76 % (7669)Refutation not found, incomplete strategy% (7669)------------------------------
% 0.60/0.76 % (7669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (7669)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (7669)Memory used [KB]: 1095
% 0.60/0.76 % (7669)Time elapsed: 0.003 s
% 0.60/0.76 % (7669)Instructions burned: 7 (million)
% 0.60/0.76 % (7669)------------------------------
% 0.60/0.76 % (7669)------------------------------
% 0.64/0.76 % (7671)Refutation not found, incomplete strategy% (7671)------------------------------
% 0.64/0.76 % (7671)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.76 % (7671)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.76
% 0.64/0.76 % (7671)Memory used [KB]: 1001
% 0.64/0.76 % (7671)Time elapsed: 0.002 s
% 0.64/0.76 % (7671)Instructions burned: 7 (million)
% 0.64/0.76 % (7671)------------------------------
% 0.64/0.76 % (7671)------------------------------
% 0.64/0.77 % (7672)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)
% 0.64/0.77 % (7674)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)
% 0.64/0.77 % (7673)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)
% 0.64/0.77 % (7678)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)
% 0.64/0.77 % (7676)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)
% 0.64/0.77 % (7677)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)
% 0.64/0.77 % (7678)Refutation not found, incomplete strategy% (7678)------------------------------
% 0.64/0.77 % (7678)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77 % (7678)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (7678)Memory used [KB]: 1013
% 0.64/0.77 % (7678)Time elapsed: 0.002 s
% 0.64/0.77 % (7678)Instructions burned: 5 (million)
% 0.64/0.77 % (7678)------------------------------
% 0.64/0.77 % (7678)------------------------------
% 0.64/0.77 % (7676)Refutation not found, incomplete strategy% (7676)------------------------------
% 0.64/0.77 % (7676)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77 % (7676)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (7676)Memory used [KB]: 1035
% 0.64/0.77 % (7676)Time elapsed: 0.004 s
% 0.64/0.77 % (7676)Instructions burned: 5 (million)
% 0.64/0.77 % (7676)------------------------------
% 0.64/0.77 % (7676)------------------------------
% 0.64/0.77 % (7673)Refutation not found, incomplete strategy% (7673)------------------------------
% 0.64/0.77 % (7673)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77 % (7673)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (7673)Memory used [KB]: 1066
% 0.64/0.77 % (7673)Time elapsed: 0.005 s
% 0.64/0.77 % (7673)Instructions burned: 6 (million)
% 0.64/0.77 % (7673)------------------------------
% 0.64/0.77 % (7673)------------------------------
% 0.64/0.77 % (7674)Refutation not found, incomplete strategy% (7674)------------------------------
% 0.64/0.77 % (7674)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77 % (7674)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (7674)Memory used [KB]: 1068
% 0.64/0.77 % (7674)Time elapsed: 0.006 s
% 0.64/0.77 % (7674)Instructions burned: 7 (million)
% 0.64/0.77 % (7674)------------------------------
% 0.64/0.77 % (7674)------------------------------
% 0.64/0.77 % (7682)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 (2995ds/93Mi)
% 0.64/0.77 % (7683)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 (2995ds/62Mi)
% 0.64/0.77 % (7683)Refutation not found, incomplete strategy% (7683)------------------------------
% 0.64/0.77 % (7683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77 % (7683)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (7683)Memory used [KB]: 1012
% 0.64/0.77 % (7683)Time elapsed: 0.002 s
% 0.64/0.77 % (7683)Instructions burned: 4 (million)
% 0.64/0.77 % (7683)------------------------------
% 0.64/0.77 % (7683)------------------------------
% 0.64/0.77 % (7679)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)
% 0.64/0.77 % (7685)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 (2995ds/32Mi)
% 0.64/0.77 % (7686)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 (2995ds/1919Mi)
% 0.64/0.78 % (7679)Refutation not found, incomplete strategy% (7679)------------------------------
% 0.64/0.78 % (7679)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.78 % (7679)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78
% 0.64/0.78 % (7679)Memory used [KB]: 1077
% 0.64/0.78 % (7679)Time elapsed: 0.005 s
% 0.64/0.78 % (7679)Instructions burned: 5 (million)
% 0.64/0.78 % (7679)------------------------------
% 0.64/0.78 % (7679)------------------------------
% 0.64/0.78 % (7672)Refutation not found, incomplete strategy% (7672)------------------------------
% 0.64/0.78 % (7672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.78 % (7672)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78
% 0.64/0.78 % (7672)Memory used [KB]: 1252
% 0.64/0.78 % (7672)Time elapsed: 0.014 s
% 0.64/0.78 % (7672)Instructions burned: 24 (million)
% 0.64/0.78 % (7672)------------------------------
% 0.64/0.78 % (7672)------------------------------
% 0.64/0.78 % (7686)Refutation not found, incomplete strategy% (7686)------------------------------
% 0.64/0.78 % (7686)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.78 % (7686)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78
% 0.64/0.78 % (7686)Memory used [KB]: 1068
% 0.64/0.78 % (7686)Time elapsed: 0.005 s
% 0.64/0.78 % (7686)Instructions burned: 7 (million)
% 0.64/0.78 % (7686)------------------------------
% 0.64/0.78 % (7686)------------------------------
% 0.64/0.78 % (7691)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 (2995ds/53Mi)
% 0.64/0.78 % (7687)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 (2995ds/55Mi)
% 0.64/0.78 % (7693)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 (2995ds/46Mi)
% 0.64/0.78 % (7695)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 (2995ds/102Mi)
% 0.64/0.78 % (7687)Refutation not found, incomplete strategy% (7687)------------------------------
% 0.64/0.78 % (7687)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.78 % (7687)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78
% 0.64/0.78 % (7687)Memory used [KB]: 1105
% 0.64/0.78 % (7687)Time elapsed: 0.004 s
% 0.64/0.78 % (7687)Instructions burned: 6 (million)
% 0.64/0.78 % (7687)------------------------------
% 0.64/0.78 % (7687)------------------------------
% 0.64/0.78 % (7693)Refutation not found, incomplete strategy% (7693)------------------------------
% 0.64/0.78 % (7693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.78 % (7693)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78
% 0.64/0.79 % (7693)Memory used [KB]: 1082
% 0.64/0.79 % (7693)Time elapsed: 0.004 s
% 0.64/0.79 % (7693)Instructions burned: 4 (million)
% 0.64/0.79 % (7693)------------------------------
% 0.64/0.79 % (7693)------------------------------
% 0.64/0.79 % (7661)Instruction limit reached!
% 0.64/0.79 % (7661)------------------------------
% 0.64/0.79 % (7661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.79 % (7661)Termination reason: Unknown
% 0.64/0.79 % (7661)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (7661)Memory used [KB]: 1772
% 0.64/0.79 % (7661)Time elapsed: 0.029 s
% 0.64/0.79 % (7661)Instructions burned: 52 (million)
% 0.64/0.79 % (7661)------------------------------
% 0.64/0.79 % (7661)------------------------------
% 0.64/0.79 % (7698)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 (2995ds/35Mi)
% 0.64/0.79 % (7700)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.64/0.79 % (7701)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)
% 0.64/0.79 % (7685)Instruction limit reached!
% 0.64/0.79 % (7685)------------------------------
% 0.64/0.79 % (7685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.79 % (7685)Termination reason: Unknown
% 0.64/0.79 % (7685)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (7685)Memory used [KB]: 1414
% 0.64/0.79 % (7685)Time elapsed: 0.018 s
% 0.64/0.79 % (7685)Instructions burned: 33 (million)
% 0.64/0.79 % (7685)------------------------------
% 0.64/0.79 % (7685)------------------------------
% 0.64/0.79 % (7691)Instruction limit reached!
% 0.64/0.79 % (7691)------------------------------
% 0.64/0.79 % (7691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.79 % (7691)Termination reason: Unknown
% 0.64/0.79 % (7691)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (7691)Memory used [KB]: 1192
% 0.64/0.79 % (7691)Time elapsed: 0.014 s
% 0.64/0.79 % (7691)Instructions burned: 54 (million)
% 0.64/0.79 % (7691)------------------------------
% 0.64/0.79 % (7691)------------------------------
% 0.64/0.80 % (7705)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)
% 0.64/0.80 % (7705)Refutation not found, incomplete strategy% (7705)------------------------------
% 0.64/0.80 % (7705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80 % (7705)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7705)Memory used [KB]: 990
% 0.64/0.80 % (7705)Time elapsed: 0.004 s
% 0.64/0.80 % (7705)Instructions burned: 5 (million)
% 0.64/0.80 % (7705)------------------------------
% 0.64/0.80 % (7705)------------------------------
% 0.64/0.80 % (7706)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)
% 0.64/0.80 % (7682)Instruction limit reached!
% 0.64/0.80 % (7682)------------------------------
% 0.64/0.80 % (7682)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80 % (7682)Termination reason: Unknown
% 0.64/0.80 % (7682)Termination phase: Saturation
% 0.64/0.80
% 0.64/0.80 % (7682)Memory used [KB]: 2134
% 0.64/0.80 % (7682)Time elapsed: 0.029 s
% 0.64/0.80 % (7682)Instructions burned: 94 (million)
% 0.64/0.80 % (7682)------------------------------
% 0.64/0.80 % (7682)------------------------------
% 0.64/0.80 % (7706)Refutation not found, incomplete strategy% (7706)------------------------------
% 0.64/0.80 % (7706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80 % (7706)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7706)Memory used [KB]: 1110
% 0.64/0.80 % (7706)Time elapsed: 0.002 s
% 0.64/0.80 % (7706)Instructions burned: 6 (million)
% 0.64/0.80 % (7706)------------------------------
% 0.64/0.80 % (7706)------------------------------
% 0.64/0.80 % (7709)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)
% 0.64/0.80 % (7708)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)
% 0.64/0.80 % (7677)Refutation not found, incomplete strategy% (7677)------------------------------
% 0.64/0.80 % (7677)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80 % (7677)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (7677)Memory used [KB]: 1510
% 0.64/0.80 % (7677)Time elapsed: 0.036 s
% 0.64/0.80 % (7677)Instructions burned: 68 (million)
% 0.64/0.80 % (7677)------------------------------
% 0.64/0.80 % (7677)------------------------------
% 0.64/0.80 % (7710)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)
% 0.87/0.81 % (7698)Instruction limit reached!
% 0.87/0.81 % (7698)------------------------------
% 0.87/0.81 % (7698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.81 % (7698)Termination reason: Unknown
% 0.87/0.81 % (7698)Termination phase: Saturation
% 0.87/0.81
% 0.87/0.81 % (7698)Memory used [KB]: 1204
% 0.87/0.81 % (7698)Time elapsed: 0.019 s
% 0.87/0.81 % (7698)Instructions burned: 36 (million)
% 0.87/0.81 % (7698)------------------------------
% 0.87/0.81 % (7698)------------------------------
% 0.87/0.81 % (7711)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)
% 0.87/0.81 % (7712)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)
% 0.87/0.82 % (7708)Refutation not found, incomplete strategy% (7708)------------------------------
% 0.87/0.82 % (7708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.82 % (7708)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.82
% 0.87/0.82 % (7708)Memory used [KB]: 1342
% 0.87/0.82 % (7708)Time elapsed: 0.041 s
% 0.87/0.82 % (7708)Instructions burned: 30 (million)
% 0.87/0.82 % (7708)------------------------------
% 0.87/0.82 % (7708)------------------------------
% 0.87/0.82 % (7709)First to succeed.
% 0.87/0.82 % (7720)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)
% 0.87/0.83 % (7709)Refutation found. Thanks to Tanya!
% 0.87/0.83 % SZS status Unsatisfiable for Vampire---4
% 0.87/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.87/0.83 % (7709)------------------------------
% 0.87/0.83 % (7709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.83 % (7709)Termination reason: Refutation
% 0.87/0.83
% 0.87/0.83 % (7709)Memory used [KB]: 1350
% 0.87/0.83 % (7709)Time elapsed: 0.045 s
% 0.87/0.83 % (7709)Instructions burned: 72 (million)
% 0.87/0.83 % (7709)------------------------------
% 0.87/0.83 % (7709)------------------------------
% 0.87/0.83 % (7618)Success in time 0.472 s
% 0.87/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------