TSTP Solution File: GRP279-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP279-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:10 EDT 2022
% Result : Unsatisfiable 1.99s 0.65s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 66
% Syntax : Number of formulae : 385 ( 32 unt; 0 def)
% Number of atoms : 1546 ( 454 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2274 (1113 ~;1140 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 89 ( 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1547,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f95,f112,f121,f122,f131,f132,f133,f138,f139,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f262,f362,f392,f408,f441,f453,f567,f599,f739,f863,f994,f1008,f1189,f1407,f1417,f1462,f1509,f1524,f1546]) ).
fof(f1546,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22
| ~ spl11_27 ),
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1545,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22
| ~ spl11_27 ),
inference(subsumption_resolution,[],[f1544,f1533]) ).
fof(f1533,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22
| ~ spl11_27 ),
inference(backward_demodulation,[],[f1514,f1456]) ).
fof(f1456,plain,
( identity = sk_c3
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1455,plain,
( spl11_27
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
fof(f1514,plain,
( sk_c3 = inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f686,f1511]) ).
fof(f1511,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f744,f1489]) ).
fof(f1489,plain,
( identity = multiply(inverse(sk_c3),identity)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f1307,f1464]) ).
fof(f1464,plain,
( identity = sk_c8
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f1118,f1463]) ).
fof(f1463,plain,
( identity = multiply(sk_c8,identity)
| ~ spl11_13
| ~ spl11_22 ),
inference(forward_demodulation,[],[f428,f130]) ).
fof(f130,plain,
( sk_c8 = sF1
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl11_13
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f428,plain,
( identity = multiply(sF1,identity)
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl11_22
<=> identity = multiply(sF1,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
fof(f1118,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1093,f1103]) ).
fof(f1103,plain,
( identity = sk_c7
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1102,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1102,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f996,f1094]) ).
fof(f1094,plain,
( sk_c8 = sk_c6
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1009,f1093]) ).
fof(f1009,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl11_3 ),
inference(forward_demodulation,[],[f51,f90]) ).
fof(f90,plain,
( sk_c6 = sF8
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl11_3
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f51,plain,
multiply(sk_c8,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f996,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f206,f90]) ).
fof(f206,plain,
sk_c7 = multiply(inverse(sk_c8),sF8),
inference(superposition,[],[f186,f51]) ).
fof(f186,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f176,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1093,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1092,f130]) ).
fof(f1092,plain,
( sk_c8 = multiply(sF1,sk_c7)
| ~ spl11_15 ),
inference(forward_demodulation,[],[f222,f143]) ).
fof(f143,plain,
( sk_c7 = sF10
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl11_15
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f222,plain,
sk_c8 = multiply(sF1,sF10),
inference(forward_demodulation,[],[f213,f37]) ).
fof(f37,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f213,plain,
sk_c8 = multiply(inverse(sk_c1),sF10),
inference(superposition,[],[f186,f55]) ).
fof(f55,plain,
multiply(sk_c1,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f1307,plain,
( identity = multiply(inverse(sk_c3),sk_c8)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1306,f1103]) ).
fof(f1306,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl11_14 ),
inference(forward_demodulation,[],[f215,f137]) ).
fof(f137,plain,
( sk_c8 = sF3
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl11_14
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f215,plain,
sk_c7 = multiply(inverse(sk_c3),sF3),
inference(superposition,[],[f186,f40]) ).
fof(f40,plain,
multiply(sk_c3,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f744,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f217,f81]) ).
fof(f81,plain,
( sk_c3 = sF5
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl11_1
<=> sk_c3 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f217,plain,
sk_c2 = multiply(inverse(sF5),identity),
inference(superposition,[],[f186,f173]) ).
fof(f173,plain,
identity = multiply(sF5,sk_c2),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f686,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f44,f81]) ).
fof(f1544,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22
| ~ spl11_27 ),
inference(forward_demodulation,[],[f1540,f1533]) ).
fof(f1540,plain,
( identity != inverse(inverse(identity))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(trivial_inequality_removal,[],[f1539]) ).
fof(f1539,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(superposition,[],[f1528,f2]) ).
fof(f1528,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f1527,f1464]) ).
fof(f1527,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f1526,f1103]) ).
fof(f1526,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f111,f1464]) ).
fof(f111,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl11_9
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f1524,plain,
( ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_13
| ~ spl11_15
| ~ spl11_19
| ~ spl11_20
| ~ spl11_22 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1523,plain,
( $false
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_13
| ~ spl11_15
| ~ spl11_19
| ~ spl11_20
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f1522,f1519]) ).
fof(f1519,plain,
( identity != inverse(identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(subsumption_resolution,[],[f1432,f1464]) ).
fof(f1432,plain,
( identity != inverse(identity)
| identity != sk_c8
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f1431,f1]) ).
fof(f1431,plain,
( ! [X7] :
( identity != multiply(X7,sk_c8)
| identity != inverse(X7) )
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1430,f1103]) ).
fof(f1430,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| identity != multiply(X7,sk_c8) )
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1429,f1103]) ).
fof(f1429,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f102,f1208]) ).
fof(f1208,plain,
( sk_c8 = sk_c6
| ~ spl11_3
| ~ spl11_5
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f98,f1180]) ).
fof(f1180,plain,
( sk_c8 = sF9
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1104,f1]) ).
fof(f1104,plain,
( multiply(identity,sk_c8) = sF9
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f53,f1103]) ).
fof(f53,plain,
multiply(sk_c7,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f98,plain,
( sk_c6 = sF9
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_5
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f102,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl11_6
<=> ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f1522,plain,
( identity = inverse(identity)
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f355,f388]) ).
fof(f388,plain,
( identity = sk_c1
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl11_20
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f355,plain,
( identity = inverse(sk_c1)
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl11_19
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f1509,plain,
( spl11_27
| ~ spl11_1
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(avatar_split_clause,[],[f1508,f427,f141,f135,f128,f114,f88,f79,f1455]) ).
fof(f114,plain,
( spl11_10
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f1508,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f1474,f1500]) ).
fof(f1500,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl11_1
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f729,f1499]) ).
fof(f1499,plain,
( ! [X15] : multiply(sk_c2,X15) = X15
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(forward_demodulation,[],[f1483,f1]) ).
fof(f1483,plain,
( ! [X15] : multiply(identity,X15) = multiply(sk_c2,multiply(identity,X15))
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f1126,f1464]) ).
fof(f1126,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c8,X15)) = multiply(sk_c8,X15)
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f443,f1125]) ).
fof(f1125,plain,
( ! [X16] : multiply(sk_c3,X16) = multiply(sk_c8,X16)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1114,f1]) ).
fof(f1114,plain,
( ! [X16] : multiply(sk_c8,X16) = multiply(sk_c3,multiply(identity,X16))
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1088,f1103]) ).
fof(f1088,plain,
( ! [X16] : multiply(sk_c3,multiply(sk_c7,X16)) = multiply(sk_c8,X16)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f185,f137]) ).
fof(f185,plain,
! [X16] : multiply(sF3,X16) = multiply(sk_c3,multiply(sk_c7,X16)),
inference(superposition,[],[f3,f40]) ).
fof(f443,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c3,X15)) = multiply(sk_c8,X15)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f184,f116]) ).
fof(f116,plain,
( sk_c8 = sF6
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f184,plain,
! [X15] : multiply(sk_c2,multiply(sk_c3,X15)) = multiply(sF6,X15),
inference(superposition,[],[f3,f46]) ).
fof(f46,plain,
multiply(sk_c2,sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f729,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl11_1 ),
inference(forward_demodulation,[],[f194,f81]) ).
fof(f194,plain,
! [X0] : multiply(sF5,multiply(sk_c2,X0)) = X0,
inference(forward_demodulation,[],[f193,f1]) ).
fof(f193,plain,
! [X0] : multiply(identity,X0) = multiply(sF5,multiply(sk_c2,X0)),
inference(superposition,[],[f3,f173]) ).
fof(f1474,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_22 ),
inference(backward_demodulation,[],[f1087,f1464]) ).
fof(f1087,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl11_1
| ~ spl11_10 ),
inference(forward_demodulation,[],[f442,f81]) ).
fof(f442,plain,
( sk_c3 = multiply(sF5,sk_c8)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f219,f116]) ).
fof(f219,plain,
sk_c3 = multiply(sF5,sF6),
inference(forward_demodulation,[],[f214,f44]) ).
fof(f214,plain,
sk_c3 = multiply(inverse(sk_c2),sF6),
inference(superposition,[],[f186,f46]) ).
fof(f1462,plain,
( ~ spl11_1
| ~ spl11_10
| ~ spl11_14
| spl11_17 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1461,plain,
( $false
| ~ spl11_1
| ~ spl11_10
| ~ spl11_14
| spl11_17 ),
inference(subsumption_resolution,[],[f1460,f1374]) ).
fof(f1374,plain,
( identity != sk_c8
| ~ spl11_14
| spl11_17 ),
inference(superposition,[],[f347,f137]) ).
fof(f347,plain,
( identity != sF3
| spl11_17 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl11_17
<=> identity = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f1460,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_10 ),
inference(forward_demodulation,[],[f1452,f2]) ).
fof(f1452,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| ~ spl11_1
| ~ spl11_10 ),
inference(superposition,[],[f186,f1087]) ).
fof(f1417,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1416,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1415,f444]) ).
fof(f444,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f46,f116]) ).
fof(f1415,plain,
( sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1412,f1115]) ).
fof(f1115,plain,
( sk_c8 = multiply(sk_c3,identity)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1089,f1103]) ).
fof(f1089,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl11_14 ),
inference(forward_demodulation,[],[f40,f137]) ).
fof(f1412,plain,
( sk_c8 != multiply(sk_c3,identity)
| sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f1408,f686]) ).
fof(f1408,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),identity)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl11_3
| ~ spl11_8
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f108,f1103]) ).
fof(f108,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl11_8
<=> ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1407,plain,
( ~ spl11_3
| ~ spl11_7
| ~ spl11_13
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1406,plain,
( $false
| ~ spl11_3
| ~ spl11_7
| ~ spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1403,f459]) ).
fof(f459,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f37,f130]) ).
fof(f1403,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_13
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f1402]) ).
fof(f1402,plain,
( identity != identity
| sk_c8 != inverse(sk_c1)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f1207,f1116]) ).
fof(f1116,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1090,f1103]) ).
fof(f1090,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl11_15 ),
inference(backward_demodulation,[],[f55,f143]) ).
fof(f1207,plain,
( ! [X3] :
( identity != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl11_3
| ~ spl11_7
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f105,f1103]) ).
fof(f105,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl11_7
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f1189,plain,
( ~ spl11_3
| ~ spl11_13
| ~ spl11_15
| spl11_18 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15
| spl11_18 ),
inference(subsumption_resolution,[],[f1107,f352]) ).
fof(f352,plain,
( identity != sF10
| spl11_18 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl11_18
<=> identity = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f1107,plain,
( identity = sF10
| ~ spl11_3
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f143,f1103]) ).
fof(f1008,plain,
( spl11_20
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f1007,f345,f135,f128,f387]) ).
fof(f1007,plain,
( identity = sk_c1
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1006,f2]) ).
fof(f1006,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f456,f723]) ).
fof(f723,plain,
( identity = sk_c8
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f137,f346]) ).
fof(f346,plain,
( identity = sF3
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f456,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f216,f130]) ).
fof(f216,plain,
sk_c1 = multiply(inverse(sF1),identity),
inference(superposition,[],[f186,f172]) ).
fof(f172,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f37]) ).
fof(f994,plain,
( spl11_19
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f989,f345,f135,f128,f354]) ).
fof(f989,plain,
( identity = inverse(sk_c1)
| ~ spl11_13
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f459,f723]) ).
fof(f863,plain,
( ~ spl11_1
| ~ spl11_3
| spl11_5
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f862,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| spl11_5
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f861,f836]) ).
fof(f836,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(backward_demodulation,[],[f797,f831]) ).
fof(f831,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f830,f2]) ).
fof(f830,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(backward_demodulation,[],[f661,f825]) ).
fof(f825,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(backward_demodulation,[],[f809,f819]) ).
fof(f819,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl11_1
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(backward_demodulation,[],[f811,f818]) ).
fof(f818,plain,
( ! [X14] : multiply(sk_c7,X14) = X14
| ~ spl11_13
| ~ spl11_15
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f817,f143]) ).
fof(f817,plain,
( ! [X14] : multiply(sF10,X14) = X14
| ~ spl11_13
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f816,f1]) ).
fof(f816,plain,
( ! [X14] : multiply(sF10,X14) = multiply(identity,X14)
| ~ spl11_13
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f770,f388]) ).
fof(f770,plain,
( ! [X14] : multiply(sF10,X14) = multiply(sk_c1,X14)
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f769,f1]) ).
fof(f769,plain,
( ! [X14] : multiply(sF10,X14) = multiply(sk_c1,multiply(identity,X14))
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f183,f730]) ).
fof(f730,plain,
( identity = sk_c8
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f459,f355]) ).
fof(f183,plain,
! [X14] : multiply(sF10,X14) = multiply(sk_c1,multiply(sk_c8,X14)),
inference(superposition,[],[f3,f55]) ).
fof(f811,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl11_1
| ~ spl11_17 ),
inference(backward_demodulation,[],[f729,f810]) ).
fof(f810,plain,
( sk_c7 = sk_c2
| ~ spl11_1
| ~ spl11_17 ),
inference(forward_demodulation,[],[f744,f661]) ).
fof(f809,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_13
| ~ spl11_19 ),
inference(backward_demodulation,[],[f766,f81]) ).
fof(f766,plain,
( sk_c3 = multiply(sF5,identity)
| ~ spl11_10
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f442,f730]) ).
fof(f661,plain,
( sk_c7 = multiply(inverse(sk_c3),identity)
| ~ spl11_17 ),
inference(forward_demodulation,[],[f215,f346]) ).
fof(f797,plain,
( sk_c7 = sk_c6
| ~ spl11_3
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f90,f792]) ).
fof(f792,plain,
( sk_c7 = sF8
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f791,f1]) ).
fof(f791,plain,
( multiply(identity,sk_c7) = sF8
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f51,f730]) ).
fof(f861,plain,
( identity != sk_c6
| ~ spl11_1
| spl11_5
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f99,f860]) ).
fof(f860,plain,
( identity = sF9
| ~ spl11_1
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f859,f1]) ).
fof(f859,plain,
( sF9 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15
| ~ spl11_17
| ~ spl11_19
| ~ spl11_20 ),
inference(forward_demodulation,[],[f746,f831]) ).
fof(f746,plain,
( sF9 = multiply(sk_c7,identity)
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f53,f730]) ).
fof(f99,plain,
( sk_c6 != sF9
| spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f739,plain,
( spl11_22
| ~ spl11_13
| ~ spl11_18
| ~ spl11_19 ),
inference(avatar_split_clause,[],[f738,f354,f350,f128,f427]) ).
fof(f738,plain,
( identity = multiply(sF1,identity)
| ~ spl11_13
| ~ spl11_18
| ~ spl11_19 ),
inference(forward_demodulation,[],[f619,f730]) ).
fof(f619,plain,
( sk_c8 = multiply(sF1,identity)
| ~ spl11_18 ),
inference(forward_demodulation,[],[f222,f351]) ).
fof(f351,plain,
( identity = sF10
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f599,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f592,f529]) ).
fof(f529,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f525,f526]) ).
fof(f526,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f523,f2]) ).
fof(f523,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f217,f521]) ).
fof(f521,plain,
( identity = sF5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f81,f505]) ).
fof(f505,plain,
( identity = sk_c3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f481,f504]) ).
fof(f504,plain,
( ! [X0] : multiply(sF5,X0) = X0
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f194,f503]) ).
fof(f503,plain,
( ! [X15] : multiply(sk_c2,X15) = X15
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f502,f1]) ).
fof(f502,plain,
( ! [X15] : multiply(identity,X15) = multiply(sk_c2,X15)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f482,f500]) ).
fof(f500,plain,
( ! [X16] : multiply(sk_c3,X16) = X16
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f486,f1]) ).
fof(f486,plain,
( ! [X16] : multiply(identity,X16) = multiply(sk_c3,multiply(identity,X16))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f447,f466]) ).
fof(f466,plain,
( identity = sk_c8
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f465,f2]) ).
fof(f465,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f244,f462]) ).
fof(f462,plain,
( sk_c8 = sk_c6
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f233,f461]) ).
fof(f461,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f460,f130]) ).
fof(f460,plain,
( sk_c8 = multiply(sF1,sk_c8)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_15 ),
inference(forward_demodulation,[],[f222,f445]) ).
fof(f445,plain,
( sk_c8 = sF10
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_15 ),
inference(forward_demodulation,[],[f143,f226]) ).
fof(f226,plain,
( sk_c8 = sk_c7
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(forward_demodulation,[],[f224,f209]) ).
fof(f209,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_5 ),
inference(superposition,[],[f186,f168]) ).
fof(f168,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f53,f98]) ).
fof(f224,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_4
| ~ spl11_12 ),
inference(superposition,[],[f186,f221]) ).
fof(f221,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f212,f169]) ).
fof(f169,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f36,f126]) ).
fof(f126,plain,
( sk_c7 = sF0
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl11_12
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f36,plain,
inverse(sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f212,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl11_4 ),
inference(superposition,[],[f186,f165]) ).
fof(f165,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f42,f94]) ).
fof(f94,plain,
( sk_c7 = sF4
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl11_4
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f42,plain,
multiply(sk_c5,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f233,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f168,f226]) ).
fof(f244,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c6)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f209,f226]) ).
fof(f447,plain,
( ! [X16] : multiply(sk_c3,multiply(sk_c8,X16)) = multiply(sk_c8,X16)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f240,f137]) ).
fof(f240,plain,
( ! [X16] : multiply(sF3,X16) = multiply(sk_c3,multiply(sk_c8,X16))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f185,f226]) ).
fof(f482,plain,
( ! [X15] : multiply(identity,X15) = multiply(sk_c2,multiply(sk_c3,X15))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f443,f466]) ).
fof(f481,plain,
( sk_c3 = multiply(sF5,identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f442,f466]) ).
fof(f525,plain,
( identity = inverse(sk_c2)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f44,f521]) ).
fof(f592,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f588]) ).
fof(f588,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f587,f1]) ).
fof(f587,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f586,f466]) ).
fof(f586,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f585,f472]) ).
fof(f472,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f226,f466]) ).
fof(f585,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f111,f466]) ).
fof(f567,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f566,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f561,f529]) ).
fof(f561,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f558]) ).
fof(f558,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f497,f1]) ).
fof(f497,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f496,f466]) ).
fof(f496,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| identity != inverse(X7) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f463,f466]) ).
fof(f463,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != multiply(X7,sk_c8) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f455,f462]) ).
fof(f455,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c6)
| sk_c8 != inverse(X7) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f454,f226]) ).
fof(f454,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c8 != multiply(X7,sk_c6) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_12 ),
inference(forward_demodulation,[],[f102,f226]) ).
fof(f453,plain,
( spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f452,f124,f97,f92,f88]) ).
fof(f452,plain,
( sk_c6 = sF8
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(forward_demodulation,[],[f228,f233]) ).
fof(f228,plain,
( multiply(sk_c8,sk_c8) = sF8
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f51,f226]) ).
fof(f441,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f440,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f417,f1]) ).
fof(f417,plain,
( identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f413,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f412,f294]) ).
fof(f294,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f268,f290]) ).
fof(f290,plain,
( identity = sk_c4
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f272,f2]) ).
fof(f272,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f207,f264]) ).
fof(f264,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f263,f2]) ).
fof(f263,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f243,f252]) ).
fof(f252,plain,
( sk_c8 = sF8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f228,f242]) ).
fof(f242,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f195,f226]) ).
fof(f195,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_11 ),
inference(superposition,[],[f187,f167]) ).
fof(f167,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f39,f120]) ).
fof(f120,plain,
( sk_c8 = sF2
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl11_11
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f39,plain,
multiply(sk_c4,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f187,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = X9
| ~ spl11_2 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = multiply(identity,X9)
| ~ spl11_2 ),
inference(superposition,[],[f3,f170]) ).
fof(f170,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_2 ),
inference(superposition,[],[f2,f166]) ).
fof(f166,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f47,f85]) ).
fof(f85,plain,
( sk_c8 = sF7
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_2
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f47,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f243,plain,
( sk_c8 = multiply(inverse(sk_c8),sF8)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f206,f226]) ).
fof(f207,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl11_2 ),
inference(superposition,[],[f186,f170]) ).
fof(f268,plain,
( identity = inverse(sk_c4)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f166,f264]) ).
fof(f412,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f411,f264]) ).
fof(f411,plain,
( ! [X4] :
( identity != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f410,f275]) ).
fof(f275,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f226,f264]) ).
fof(f410,plain,
( ! [X4] :
( identity != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f108,f264]) ).
fof(f408,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f401,f294]) ).
fof(f401,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f396]) ).
fof(f396,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f395,f1]) ).
fof(f395,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f394,f264]) ).
fof(f394,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f393,f275]) ).
fof(f393,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f111,f264]) ).
fof(f392,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f380,f294]) ).
fof(f380,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f375,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f365,f1]) ).
fof(f365,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f364,f264]) ).
fof(f364,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f363,f275]) ).
fof(f363,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f105,f264]) ).
fof(f362,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f361,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f338,f294]) ).
fof(f338,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f333]) ).
fof(f333,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f320,f1]) ).
fof(f320,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f319,f275]) ).
fof(f319,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(X7,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f318,f314]) ).
fof(f314,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f257,f264]) ).
fof(f257,plain,
( sk_c8 = sk_c6
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f247,f242]) ).
fof(f247,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12 ),
inference(backward_demodulation,[],[f221,f226]) ).
fof(f318,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f102,f275]) ).
fof(f262,plain,
( ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f260,f253]) ).
fof(f253,plain,
( sk_c8 != sk_c6
| ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f89,f252]) ).
fof(f89,plain,
( sk_c6 != sF8
| spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f260,plain,
( sk_c8 = sk_c6
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f233,f242]) ).
fof(f164,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f64,f97,f79]) ).
fof(f64,plain,
( sk_c6 = sF9
| sk_c3 = sF5 ),
inference(definition_folding,[],[f24,f53,f44]) ).
fof(f24,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f163,plain,
( spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f71,f83,f88]) ).
fof(f71,plain,
( sk_c8 = sF7
| sk_c6 = sF8 ),
inference(definition_folding,[],[f5,f47,f51]) ).
fof(f5,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f162,plain,
( spl11_4
| spl11_15 ),
inference(avatar_split_clause,[],[f69,f141,f92]) ).
fof(f69,plain,
( sk_c7 = sF10
| sk_c7 = sF4 ),
inference(definition_folding,[],[f13,f42,f55]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f161,plain,
( spl11_14
| spl11_12 ),
inference(avatar_split_clause,[],[f74,f124,f135]) ).
fof(f74,plain,
( sk_c7 = sF0
| sk_c8 = sF3 ),
inference(definition_folding,[],[f32,f40,f36]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f160,plain,
( spl11_5
| spl11_14 ),
inference(avatar_split_clause,[],[f63,f135,f97]) ).
fof(f63,plain,
( sk_c8 = sF3
| sk_c6 = sF9 ),
inference(definition_folding,[],[f29,f53,f40]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f159,plain,
( spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f68,f118,f88]) ).
fof(f68,plain,
( sk_c8 = sF2
| sk_c6 = sF8 ),
inference(definition_folding,[],[f6,f39,f51]) ).
fof(f6,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f158,plain,
( spl11_1
| spl11_11 ),
inference(avatar_split_clause,[],[f45,f118,f79]) ).
fof(f45,plain,
( sk_c8 = sF2
| sk_c3 = sF5 ),
inference(definition_folding,[],[f26,f39,f44]) ).
fof(f26,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f157,plain,
( spl11_10
| spl11_12 ),
inference(avatar_split_clause,[],[f73,f124,f114]) ).
fof(f73,plain,
( sk_c7 = sF0
| sk_c8 = sF6 ),
inference(definition_folding,[],[f22,f46,f36]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f156,plain,
( spl11_15
| spl11_2 ),
inference(avatar_split_clause,[],[f70,f83,f141]) ).
fof(f70,plain,
( sk_c8 = sF7
| sk_c7 = sF10 ),
inference(definition_folding,[],[f10,f47,f55]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f155,plain,
( spl11_11
| spl11_14 ),
inference(avatar_split_clause,[],[f41,f135,f118]) ).
fof(f41,plain,
( sk_c8 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f31,f40,f39]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f154,plain,
( spl11_11
| spl11_15 ),
inference(avatar_split_clause,[],[f56,f141,f118]) ).
fof(f56,plain,
( sk_c7 = sF10
| sk_c8 = sF2 ),
inference(definition_folding,[],[f11,f55,f39]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f153,plain,
( spl11_4
| spl11_1 ),
inference(avatar_split_clause,[],[f75,f79,f92]) ).
fof(f75,plain,
( sk_c3 = sF5
| sk_c7 = sF4 ),
inference(definition_folding,[],[f28,f42,f44]) ).
fof(f28,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f152,plain,
( spl11_1
| spl11_12 ),
inference(avatar_split_clause,[],[f57,f124,f79]) ).
fof(f57,plain,
( sk_c7 = sF0
| sk_c3 = sF5 ),
inference(definition_folding,[],[f27,f44,f36]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f151,plain,
( spl11_13
| spl11_11 ),
inference(avatar_split_clause,[],[f50,f118,f128]) ).
fof(f50,plain,
( sk_c8 = sF2
| sk_c8 = sF1 ),
inference(definition_folding,[],[f16,f37,f39]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f150,plain,
( spl11_5
| spl11_13 ),
inference(avatar_split_clause,[],[f65,f128,f97]) ).
fof(f65,plain,
( sk_c8 = sF1
| sk_c6 = sF9 ),
inference(definition_folding,[],[f14,f53,f37]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f149,plain,
( spl11_5
| spl11_15 ),
inference(avatar_split_clause,[],[f67,f141,f97]) ).
fof(f67,plain,
( sk_c7 = sF10
| sk_c6 = sF9 ),
inference(definition_folding,[],[f9,f53,f55]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f148,plain,
( spl11_4
| spl11_10 ),
inference(avatar_split_clause,[],[f72,f114,f92]) ).
fof(f72,plain,
( sk_c8 = sF6
| sk_c7 = sF4 ),
inference(definition_folding,[],[f23,f42,f46]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f147,plain,
( spl11_14
| spl11_2 ),
inference(avatar_split_clause,[],[f61,f83,f135]) ).
fof(f61,plain,
( sk_c8 = sF7
| sk_c8 = sF3 ),
inference(definition_folding,[],[f30,f40,f47]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f146,plain,
( spl11_3
| spl11_12 ),
inference(avatar_split_clause,[],[f52,f124,f88]) ).
fof(f52,plain,
( sk_c7 = sF0
| sk_c6 = sF8 ),
inference(definition_folding,[],[f7,f51,f36]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f145,plain,
( spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f54,f88,f97]) ).
fof(f54,plain,
( sk_c6 = sF8
| sk_c6 = sF9 ),
inference(definition_folding,[],[f4,f51,f53]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f144,plain,
( spl11_15
| spl11_12 ),
inference(avatar_split_clause,[],[f58,f124,f141]) ).
fof(f58,plain,
( sk_c7 = sF0
| sk_c7 = sF10 ),
inference(definition_folding,[],[f12,f55,f36]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f139,plain,
( spl11_5
| spl11_10 ),
inference(avatar_split_clause,[],[f66,f114,f97]) ).
fof(f66,plain,
( sk_c8 = sF6
| sk_c6 = sF9 ),
inference(definition_folding,[],[f19,f53,f46]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f138,plain,
( spl11_4
| spl11_14 ),
inference(avatar_split_clause,[],[f43,f135,f92]) ).
fof(f43,plain,
( sk_c8 = sF3
| sk_c7 = sF4 ),
inference(definition_folding,[],[f33,f40,f42]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f133,plain,
( spl11_13
| spl11_4 ),
inference(avatar_split_clause,[],[f62,f92,f128]) ).
fof(f62,plain,
( sk_c7 = sF4
| sk_c8 = sF1 ),
inference(definition_folding,[],[f18,f37,f42]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f132,plain,
( spl11_2
| spl11_13 ),
inference(avatar_split_clause,[],[f59,f128,f83]) ).
fof(f59,plain,
( sk_c8 = sF1
| sk_c8 = sF7 ),
inference(definition_folding,[],[f15,f37,f47]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f131,plain,
( spl11_12
| spl11_13 ),
inference(avatar_split_clause,[],[f38,f128,f124]) ).
fof(f38,plain,
( sk_c8 = sF1
| sk_c7 = sF0 ),
inference(definition_folding,[],[f17,f37,f36]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f122,plain,
( spl11_2
| spl11_10 ),
inference(avatar_split_clause,[],[f48,f114,f83]) ).
fof(f48,plain,
( sk_c8 = sF6
| sk_c8 = sF7 ),
inference(definition_folding,[],[f20,f47,f46]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f121,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f77,f118,f114]) ).
fof(f77,plain,
( sk_c8 = sF2
| sk_c8 = sF6 ),
inference(definition_folding,[],[f21,f46,f39]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f112,plain,
( ~ spl11_3
| ~ spl11_5
| spl11_6
| spl11_7
| spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f76,f110,f107,f104,f101,f97,f88]) ).
fof(f76,plain,
! [X3,X6,X7,X4] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c6 != sF9
| sk_c6 != sF8
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c7 != multiply(X7,sk_c6) ),
inference(definition_folding,[],[f35,f51,f53]) ).
fof(f35,plain,
! [X3,X6,X7,X4] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(inverse(X4),sk_c7)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X7,sk_c6) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| inverse(X4) != X5
| sk_c8 != multiply(X4,X5)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X7,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f95,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f60,f92,f88]) ).
fof(f60,plain,
( sk_c7 = sF4
| sk_c6 = sF8 ),
inference(definition_folding,[],[f8,f42,f51]) ).
fof(f8,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f86,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f49,f83,f79]) ).
fof(f49,plain,
( sk_c8 = sF7
| sk_c3 = sF5 ),
inference(definition_folding,[],[f25,f44,f47]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP279-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:23:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (13319)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54 % (13334)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (13345)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.54 % (13336)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.54 % (13320)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.55 % (13327)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (13320)Instruction limit reached!
% 0.20/0.55 % (13320)------------------------------
% 0.20/0.55 % (13320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13320)Termination reason: Unknown
% 0.20/0.55 % (13320)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (13320)Memory used [KB]: 5884
% 0.20/0.55 % (13320)Time elapsed: 0.134 s
% 0.20/0.55 % (13320)Instructions burned: 5 (million)
% 0.20/0.55 % (13320)------------------------------
% 0.20/0.55 % (13320)------------------------------
% 0.20/0.55 % (13334)Instruction limit reached!
% 0.20/0.55 % (13334)------------------------------
% 0.20/0.55 % (13334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13329)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.55 % (13334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13334)Termination reason: Unknown
% 0.20/0.55 % (13334)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (13334)Memory used [KB]: 1279
% 0.20/0.55 % (13334)Time elapsed: 0.004 s
% 0.20/0.55 % (13334)Instructions burned: 2 (million)
% 0.20/0.55 % (13334)------------------------------
% 0.20/0.55 % (13334)------------------------------
% 0.20/0.55 % (13337)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (13324)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (13333)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.55 % (13322)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.56 % (13337)Instruction limit reached!
% 0.20/0.56 % (13337)------------------------------
% 0.20/0.56 % (13337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13321)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.56 % (13323)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56 % (13341)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56 % (13321)Refutation not found, incomplete strategy% (13321)------------------------------
% 0.20/0.56 % (13321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (13321)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (13321)Memory used [KB]: 5884
% 0.20/0.56 % (13321)Time elapsed: 0.139 s
% 0.20/0.56 % (13321)Instructions burned: 4 (million)
% 0.20/0.56 % (13321)------------------------------
% 0.20/0.56 % (13321)------------------------------
% 0.20/0.56 % (13318)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.57 % (13328)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.57 % (13346)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.57 % (13330)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.57 % (13338)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.57 % (13328)Instruction limit reached!
% 0.20/0.57 % (13328)------------------------------
% 0.20/0.57 % (13328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (13346)Refutation not found, incomplete strategy% (13346)------------------------------
% 0.20/0.57 % (13346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (13337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13337)Termination reason: Unknown
% 0.20/0.57 % (13337)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (13337)Memory used [KB]: 6012
% 0.20/0.57 % (13337)Time elapsed: 0.149 s
% 0.20/0.57 % (13337)Instructions burned: 8 (million)
% 0.20/0.57 % (13337)------------------------------
% 0.20/0.57 % (13337)------------------------------
% 0.20/0.57 % (13346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13346)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (13346)Memory used [KB]: 5884
% 0.20/0.57 % (13346)Time elapsed: 0.163 s
% 0.20/0.57 % (13346)Instructions burned: 5 (million)
% 0.20/0.57 % (13346)------------------------------
% 0.20/0.57 % (13346)------------------------------
% 0.20/0.57 % (13338)Instruction limit reached!
% 0.20/0.57 % (13338)------------------------------
% 0.20/0.57 % (13338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (13338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13338)Termination reason: Unknown
% 0.20/0.57 % (13338)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (13338)Memory used [KB]: 1407
% 0.20/0.57 % (13338)Time elapsed: 0.156 s
% 0.20/0.57 % (13338)Instructions burned: 7 (million)
% 0.20/0.57 % (13338)------------------------------
% 0.20/0.57 % (13338)------------------------------
% 0.20/0.57 % (13347)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57 % (13332)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.57 % (13326)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57 % (13330)Instruction limit reached!
% 0.20/0.57 % (13330)------------------------------
% 0.20/0.57 % (13330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (13330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13330)Termination reason: Unknown
% 0.20/0.57 % (13330)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (13330)Memory used [KB]: 6012
% 0.20/0.57 % (13330)Time elapsed: 0.158 s
% 0.20/0.57 % (13330)Instructions burned: 6 (million)
% 0.20/0.57 % (13330)------------------------------
% 0.20/0.57 % (13330)------------------------------
% 0.20/0.58 % (13329)Instruction limit reached!
% 0.20/0.58 % (13329)------------------------------
% 0.20/0.58 % (13329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13329)Termination reason: Unknown
% 0.20/0.58 % (13329)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (13329)Memory used [KB]: 6396
% 0.20/0.58 % (13329)Time elapsed: 0.145 s
% 0.20/0.58 % (13329)Instructions burned: 23 (million)
% 0.20/0.58 % (13329)------------------------------
% 0.20/0.58 % (13329)------------------------------
% 0.20/0.58 % (13333)Instruction limit reached!
% 0.20/0.58 % (13333)------------------------------
% 0.20/0.58 % (13333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13333)Termination reason: Unknown
% 0.20/0.58 % (13333)Termination phase: Finite model building preprocessing
% 0.20/0.58
% 0.20/0.58 % (13333)Memory used [KB]: 1407
% 0.20/0.58 % (13333)Time elapsed: 0.004 s
% 0.20/0.58 % (13333)Instructions burned: 6 (million)
% 0.20/0.58 % (13333)------------------------------
% 0.20/0.58 % (13333)------------------------------
% 0.20/0.58 % (13341)Refutation not found, incomplete strategy% (13341)------------------------------
% 0.20/0.58 % (13341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13341)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (13341)Memory used [KB]: 5884
% 0.20/0.58 % (13341)Time elapsed: 0.102 s
% 0.20/0.58 % (13341)Instructions burned: 3 (million)
% 0.20/0.58 % (13341)------------------------------
% 0.20/0.58 % (13341)------------------------------
% 0.20/0.58 % (13331)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.58 % (13325)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 % (13331)Instruction limit reached!
% 0.20/0.58 % (13331)------------------------------
% 0.20/0.58 % (13331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13331)Termination reason: Unknown
% 0.20/0.58 % (13331)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (13331)Memory used [KB]: 5884
% 0.20/0.58 % (13331)Time elapsed: 0.002 s
% 0.20/0.58 % (13331)Instructions burned: 3 (million)
% 0.20/0.58 % (13331)------------------------------
% 0.20/0.58 % (13331)------------------------------
% 0.20/0.58 % (13328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13328)Termination reason: Unknown
% 0.20/0.58 % (13328)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (13328)Memory used [KB]: 6012
% 0.20/0.58 % (13328)Time elapsed: 0.160 s
% 0.20/0.58 % (13328)Instructions burned: 7 (million)
% 0.20/0.58 % (13328)------------------------------
% 0.20/0.58 % (13328)------------------------------
% 0.20/0.58 % (13344)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.58 % (13343)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.58 % (13336)Instruction limit reached!
% 0.20/0.58 % (13336)------------------------------
% 0.20/0.58 % (13336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13336)Termination reason: Unknown
% 0.20/0.58 % (13336)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (13336)Memory used [KB]: 10746
% 0.20/0.58 % (13336)Time elapsed: 0.163 s
% 0.20/0.58 % (13336)Instructions burned: 29 (million)
% 0.20/0.58 % (13336)------------------------------
% 0.20/0.58 % (13336)------------------------------
% 0.20/0.58 % (13339)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.59 % (13342)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.59 % (13340)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.59 % (13335)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.59 % (13319)Instruction limit reached!
% 0.20/0.59 % (13319)------------------------------
% 0.20/0.59 % (13319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13319)Termination reason: Unknown
% 0.20/0.59 % (13319)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (13319)Memory used [KB]: 1663
% 0.20/0.59 % (13319)Time elapsed: 0.170 s
% 0.20/0.59 % (13319)Instructions burned: 42 (million)
% 0.20/0.59 % (13319)------------------------------
% 0.20/0.59 % (13319)------------------------------
% 0.20/0.59 % (13323)Instruction limit reached!
% 0.20/0.59 % (13323)------------------------------
% 0.20/0.59 % (13323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13323)Termination reason: Unknown
% 0.20/0.59 % (13323)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (13323)Memory used [KB]: 6140
% 0.20/0.59 % (13323)Time elapsed: 0.164 s
% 0.20/0.59 % (13323)Instructions burned: 25 (million)
% 0.20/0.59 % (13323)------------------------------
% 0.20/0.59 % (13323)------------------------------
% 0.20/0.59 % (13335)Instruction limit reached!
% 0.20/0.59 % (13335)------------------------------
% 0.20/0.59 % (13335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13335)Termination reason: Unknown
% 0.20/0.59 % (13335)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (13335)Memory used [KB]: 6012
% 0.20/0.59 % (13335)Time elapsed: 0.182 s
% 0.20/0.59 % (13335)Instructions burned: 9 (million)
% 0.20/0.59 % (13335)------------------------------
% 0.20/0.59 % (13335)------------------------------
% 0.20/0.59 % (13326)Instruction limit reached!
% 0.20/0.59 % (13326)------------------------------
% 0.20/0.59 % (13326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13326)Termination reason: Unknown
% 0.20/0.59 % (13326)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (13326)Memory used [KB]: 5884
% 0.20/0.59 % (13326)Time elapsed: 0.160 s
% 0.20/0.59 % (13326)Instructions burned: 4 (million)
% 0.20/0.59 % (13326)------------------------------
% 0.20/0.59 % (13326)------------------------------
% 0.20/0.59 % (13344)Refutation not found, incomplete strategy% (13344)------------------------------
% 0.20/0.59 % (13344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13344)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (13344)Memory used [KB]: 5884
% 0.20/0.59 % (13344)Time elapsed: 0.167 s
% 0.20/0.59 % (13344)Instructions burned: 4 (million)
% 0.20/0.59 % (13344)------------------------------
% 0.20/0.59 % (13344)------------------------------
% 0.20/0.61 % (13322)Instruction limit reached!
% 0.20/0.61 % (13322)------------------------------
% 0.20/0.61 % (13322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (13322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (13322)Termination reason: Unknown
% 0.20/0.61 % (13322)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (13322)Memory used [KB]: 6780
% 0.20/0.61 % (13322)Time elapsed: 0.168 s
% 0.20/0.61 % (13322)Instructions burned: 35 (million)
% 0.20/0.61 % (13322)------------------------------
% 0.20/0.61 % (13322)------------------------------
% 0.20/0.63 % (13332)Instruction limit reached!
% 0.20/0.63 % (13332)------------------------------
% 0.20/0.63 % (13332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (13327)Instruction limit reached!
% 1.99/0.63 % (13327)------------------------------
% 1.99/0.63 % (13327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (13327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (13327)Termination reason: Unknown
% 1.99/0.63 % (13327)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (13327)Memory used [KB]: 6780
% 1.99/0.63 % (13327)Time elapsed: 0.220 s
% 1.99/0.63 % (13327)Instructions burned: 52 (million)
% 1.99/0.63 % (13327)------------------------------
% 1.99/0.63 % (13327)------------------------------
% 1.99/0.63 % (13324)Instruction limit reached!
% 1.99/0.63 % (13324)------------------------------
% 1.99/0.63 % (13324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (13324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (13324)Termination reason: Unknown
% 1.99/0.63 % (13324)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (13324)Memory used [KB]: 1791
% 1.99/0.63 % (13324)Time elapsed: 0.211 s
% 1.99/0.63 % (13324)Instructions burned: 49 (million)
% 1.99/0.63 % (13324)------------------------------
% 1.99/0.63 % (13324)------------------------------
% 1.99/0.63 % (13332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (13332)Termination reason: Unknown
% 1.99/0.63 % (13332)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (13332)Memory used [KB]: 1663
% 1.99/0.63 % (13332)Time elapsed: 0.200 s
% 1.99/0.63 % (13332)Instructions burned: 29 (million)
% 1.99/0.63 % (13332)------------------------------
% 1.99/0.63 % (13332)------------------------------
% 1.99/0.64 % (13318)First to succeed.
% 1.99/0.64 % (13325)Instruction limit reached!
% 1.99/0.64 % (13325)------------------------------
% 1.99/0.64 % (13325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.65 % (13342)Instruction limit reached!
% 1.99/0.65 % (13342)------------------------------
% 1.99/0.65 % (13342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.65 % (13325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.65 % (13325)Termination reason: Unknown
% 1.99/0.65 % (13325)Termination phase: Saturation
% 1.99/0.65
% 1.99/0.65 % (13325)Memory used [KB]: 7036
% 1.99/0.65 % (13318)Refutation found. Thanks to Tanya!
% 1.99/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.99/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.65 % (13318)------------------------------
% 2.34/0.65 % (13318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.65 % (13318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.65 % (13318)Termination reason: Refutation
% 2.34/0.65
% 2.34/0.65 % (13318)Memory used [KB]: 6524
% 2.34/0.65 % (13318)Time elapsed: 0.229 s
% 2.34/0.65 % (13318)Instructions burned: 48 (million)
% 2.34/0.65 % (13318)------------------------------
% 2.34/0.65 % (13318)------------------------------
% 2.34/0.65 % (13317)Success in time 0.284 s
%------------------------------------------------------------------------------