TSTP Solution File: GRP352-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP352-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 : Sun May 5 05:47:30 EDT 2024
% Result : Unsatisfiable 0.52s 0.76s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 46
% Syntax : Number of formulae : 231 ( 4 unt; 0 def)
% Number of atoms : 803 ( 243 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1120 ( 548 ~; 555 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1464,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f81,f82,f83,f84,f85,f90,f91,f92,f93,f94,f107,f186,f448,f691,f733,f741,f758,f953,f966,f1005,f1014,f1148,f1179,f1379,f1397,f1402,f1404,f1462]) ).
fof(f1462,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1461,f716,f69,f60,f31,f697]) ).
fof(f697,plain,
( spl0_20
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c6,sk_c5) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f60,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f716,plain,
( spl0_24
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1461,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1446,f717]) ).
fof(f717,plain,
( sk_c6 = sk_c7
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f1446,plain,
( sk_c5 = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f33,f1431]) ).
fof(f1431,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f1206,f1421]) ).
fof(f1421,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f1201,f1206]) ).
fof(f1201,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_7
| ~ spl0_24 ),
inference(superposition,[],[f3,f1186]) ).
fof(f1186,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_demodulation,[],[f62,f717]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',associativity) ).
fof(f1206,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1203,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',left_identity) ).
fof(f1203,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f3,f1198]) ).
fof(f1198,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f2,f1185]) ).
fof(f1185,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f71,f717]) ).
fof(f71,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',left_inverse) ).
fof(f33,plain,
( multiply(sk_c6,sk_c5) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f1404,plain,
( ~ spl0_20
| spl0_2
| ~ spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1403,f716,f676,f35,f697]) ).
fof(f35,plain,
( spl0_2
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f676,plain,
( spl0_17
<=> sk_c6 = multiply(sk_c6,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1403,plain,
( sk_c6 != sk_c5
| spl0_2
| ~ spl0_17
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1399,f677]) ).
fof(f677,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1399,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f36,f717]) ).
fof(f36,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f1402,plain,
( ~ spl0_20
| ~ spl0_1
| spl0_2
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1401,f716,f697,f35,f31,f697]) ).
fof(f1401,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1400,f717]) ).
fof(f1400,plain,
( sk_c5 != sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1399,f1150]) ).
fof(f1150,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f33,f698]) ).
fof(f698,plain,
( sk_c6 = sk_c5
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1397,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_14
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1367,f716,f697,f105,f78,f87]) ).
fof(f87,plain,
( spl0_10
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f78,plain,
( spl0_9
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f105,plain,
( spl0_14
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1367,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_20
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1364]) ).
fof(f1364,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_20
| ~ spl0_24 ),
inference(superposition,[],[f1183,f1184]) ).
fof(f1184,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f80,f698]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f1183,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_14
| ~ spl0_24 ),
inference(forward_demodulation,[],[f106,f717]) ).
fof(f106,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f1379,plain,
( ~ spl0_6
| ~ spl0_5
| ~ spl0_14
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1378,f716,f105,f50,f55]) ).
fof(f55,plain,
( spl0_6
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f50,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1378,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1377]) ).
fof(f1377,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1360,f717]) ).
fof(f1360,plain,
( sk_c6 != sk_c7
| sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_24 ),
inference(superposition,[],[f1183,f52]) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f1179,plain,
( spl0_24
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1178,f697,f55,f50,f45,f40,f35,f716]) ).
fof(f40,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f45,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1178,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1177,f698]) ).
fof(f1177,plain,
( sk_c5 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1176,f1149]) ).
fof(f1149,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1145,f47]) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f1145,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f1128]) ).
fof(f1128,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f1034,f52]) ).
fof(f1034,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1031,f1]) ).
fof(f1031,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f1028]) ).
fof(f1028,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f47]) ).
fof(f1176,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1171,f1149]) ).
fof(f1171,plain,
( sk_c5 = multiply(sk_c7,multiply(sk_c7,sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f1142,f156]) ).
fof(f156,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f116,f37]) ).
fof(f37,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f1142,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1141,f1]) ).
fof(f1141,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f1138]) ).
fof(f1138,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f1148,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1144,f55,f50,f35,f697]) ).
fof(f1144,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f37,f1128]) ).
fof(f1014,plain,
( ~ spl0_24
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1011,f716,f697,f99,f69,f35,f716]) ).
fof(f99,plain,
( spl0_12
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1011,plain,
( sk_c6 != sk_c7
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(superposition,[],[f996,f71]) ).
fof(f996,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f995,f820]) ).
fof(f820,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_20
| ~ spl0_24 ),
inference(superposition,[],[f808,f738]) ).
fof(f738,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f455,f717]) ).
fof(f455,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f808,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_8
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f807,f1]) ).
fof(f807,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f806,f805]) ).
fof(f805,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f803,f738]) ).
fof(f803,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c1)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f461,f698]) ).
fof(f461,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c1)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f113,f455]) ).
fof(f113,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f37]) ).
fof(f806,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(multiply(sk_c6,identity),X0)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f804,f589]) ).
fof(f589,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f113,f464]) ).
fof(f464,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f462,f1]) ).
fof(f462,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f455]) ).
fof(f804,plain,
( ! [X0] : multiply(multiply(sk_c6,identity),X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f3,f461]) ).
fof(f995,plain,
( sk_c6 != inverse(identity)
| ~ spl0_12
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f972]) ).
fof(f972,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_12
| ~ spl0_20 ),
inference(superposition,[],[f971,f1]) ).
fof(f971,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f100,f698]) ).
fof(f100,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f1005,plain,
( ~ spl0_6
| ~ spl0_5
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1004,f716,f697,f99,f50,f55]) ).
fof(f1004,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1003]) ).
fof(f1003,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f983,f717]) ).
fof(f983,plain,
( sk_c6 != sk_c7
| sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_20 ),
inference(superposition,[],[f971,f52]) ).
fof(f966,plain,
( ~ spl0_24
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f965,f716,f697,f102,f87,f78,f716]) ).
fof(f102,plain,
( spl0_13
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f965,plain,
( sk_c6 != sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f964,f89]) ).
fof(f89,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f964,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f963]) ).
fof(f963,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f962,f698]) ).
fof(f962,plain,
( sk_c6 != sk_c5
| sk_c7 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f914,f717]) ).
fof(f914,plain,
( sk_c5 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f103,f80]) ).
fof(f103,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f953,plain,
( ~ spl0_6
| ~ spl0_5
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f952,f716,f102,f50,f55]) ).
fof(f952,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f916,f717]) ).
fof(f916,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f911]) ).
fof(f911,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f103,f52]) ).
fof(f758,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f754,f716,f676,f35,f697]) ).
fof(f754,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_17
| ~ spl0_24 ),
inference(superposition,[],[f735,f677]) ).
fof(f735,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_24 ),
inference(superposition,[],[f37,f717]) ).
fof(f741,plain,
( spl0_17
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f740,f716,f69,f60,f676]) ).
fof(f740,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f585,f717]) ).
fof(f585,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f464,f62]) ).
fof(f733,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f729,f87,f78,f31,f716]) ).
fof(f729,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f33,f723]) ).
fof(f723,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f468,f80]) ).
fof(f468,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f466,f1]) ).
fof(f466,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f456]) ).
fof(f456,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f89]) ).
fof(f691,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f657,f96,f60,f69]) ).
fof(f96,plain,
( spl0_11
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f657,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f655,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f97,f62]) ).
fof(f97,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f448,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f445]) ).
fof(f445,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f437,f238]) ).
fof(f238,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f57,f234]) ).
fof(f234,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f233,f172]) ).
fof(f172,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f171,f1]) ).
fof(f171,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f160,f108]) ).
fof(f108,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f160,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f151,f116]) ).
fof(f151,plain,
( multiply(sk_c7,identity) = multiply(sk_c3,multiply(sk_c6,sk_c3))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f138]) ).
fof(f138,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f134,f126]) ).
fof(f126,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f123,f37]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f121,f52]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f109]) ).
fof(f109,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f2,f57]) ).
fof(f134,plain,
( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f113,f108]) ).
fof(f233,plain,
( sk_c4 = multiply(sk_c7,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f232,f194]) ).
fof(f194,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f172,f108]) ).
fof(f232,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f231,f172]) ).
fof(f231,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f229,f157]) ).
fof(f157,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f116,f109]) ).
fof(f229,plain,
( multiply(sk_c7,identity) = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f184]) ).
fof(f184,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f161,f173]) ).
fof(f173,plain,
( sk_c6 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f165,f47]) ).
fof(f165,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f155,f130]) ).
fof(f130,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f122,f47]) ).
fof(f122,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f108]) ).
fof(f155,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f123]) ).
fof(f437,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f436,f194]) ).
fof(f436,plain,
( sk_c6 != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f420]) ).
fof(f420,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f419,f1]) ).
fof(f419,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f418,f173]) ).
fof(f418,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f173]) ).
fof(f186,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f185,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f183]) ).
fof(f183,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f146,f173]) ).
fof(f146,plain,
( sk_c6 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f129,f142]) ).
fof(f142,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f141,f126]) ).
fof(f141,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f140,f37]) ).
fof(f140,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f136,f126]) ).
fof(f136,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f113,f130]) ).
fof(f129,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f32,f126]) ).
fof(f32,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f107,plain,
( ~ spl0_1
| spl0_11
| spl0_12
| ~ spl0_2
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f96,f31]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(X6,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c6,sk_c5) != sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_26) ).
fof(f94,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f55,f87]) ).
fof(f28,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_25) ).
fof(f93,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f50,f87]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_24) ).
fof(f92,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f45,f87]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_23) ).
fof(f91,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f40,f87]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_22) ).
fof(f90,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f35,f87]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_21) ).
fof(f85,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f55,f78]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_20) ).
fof(f84,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f50,f78]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_19) ).
fof(f83,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f45,f78]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_18) ).
fof(f82,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f40,f78]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_17) ).
fof(f81,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f35,f78]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_16) ).
fof(f76,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f55,f69]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_15) ).
fof(f75,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f50,f69]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_14) ).
fof(f74,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f45,f69]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_13) ).
fof(f73,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f40,f69]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_12) ).
fof(f72,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f35,f69]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_11) ).
fof(f67,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f55,f60]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_10) ).
fof(f66,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f50,f60]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_9) ).
fof(f65,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f45,f60]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_8) ).
fof(f64,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f40,f60]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_7) ).
fof(f63,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f60]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_6) ).
fof(f58,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f55,f31]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_5) ).
fof(f53,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f50,f31]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_4) ).
fof(f48,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f45,f31]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_3) ).
fof(f43,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f40,f31]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_2) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f35,f31]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP352-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n012.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 : Fri May 3 20:47:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.8BD61WR9px/Vampire---4.8_18543
% 0.52/0.74 % (18651)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)
% 0.52/0.74 % (18655)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)
% 0.52/0.74 % (18653)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.74 % (18654)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)
% 0.52/0.74 % (18652)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)
% 0.52/0.74 % (18656)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)
% 0.52/0.74 % (18658)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)
% 0.52/0.74 % (18657)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)
% 0.52/0.74 % (18651)Refutation not found, incomplete strategy% (18651)------------------------------
% 0.52/0.74 % (18651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (18651)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (18651)Memory used [KB]: 996
% 0.52/0.74 % (18651)Time elapsed: 0.002 s
% 0.52/0.74 % (18651)Instructions burned: 3 (million)
% 0.52/0.74 % (18655)Refutation not found, incomplete strategy% (18655)------------------------------
% 0.52/0.74 % (18655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (18655)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (18655)Memory used [KB]: 995
% 0.52/0.74 % (18655)Time elapsed: 0.003 s
% 0.52/0.74 % (18658)Refutation not found, incomplete strategy% (18658)------------------------------
% 0.52/0.74 % (18658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (18655)Instructions burned: 4 (million)
% 0.52/0.74 % (18658)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (18658)Memory used [KB]: 980
% 0.52/0.74 % (18658)Time elapsed: 0.003 s
% 0.52/0.74 % (18654)Refutation not found, incomplete strategy% (18654)------------------------------
% 0.52/0.74 % (18654)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (18654)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (18654)Memory used [KB]: 979
% 0.52/0.74 % (18654)Time elapsed: 0.003 s
% 0.52/0.74 % (18654)Instructions burned: 3 (million)
% 0.52/0.74 % (18658)Instructions burned: 3 (million)
% 0.52/0.74 % (18651)------------------------------
% 0.52/0.74 % (18651)------------------------------
% 0.52/0.74 % (18655)------------------------------
% 0.52/0.74 % (18655)------------------------------
% 0.52/0.74 % (18654)------------------------------
% 0.52/0.74 % (18654)------------------------------
% 0.52/0.74 % (18658)------------------------------
% 0.52/0.74 % (18658)------------------------------
% 0.52/0.74 % (18656)Refutation not found, incomplete strategy% (18656)------------------------------
% 0.52/0.74 % (18656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (18656)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (18656)Memory used [KB]: 984
% 0.52/0.74 % (18656)Time elapsed: 0.003 s
% 0.52/0.74 % (18656)Instructions burned: 4 (million)
% 0.52/0.74 % (18656)------------------------------
% 0.52/0.74 % (18656)------------------------------
% 0.52/0.74 % (18653)Refutation not found, incomplete strategy% (18653)------------------------------
% 0.52/0.74 % (18653)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (18653)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74
% 0.52/0.74 % (18653)Memory used [KB]: 1054
% 0.52/0.74 % (18653)Time elapsed: 0.004 s
% 0.52/0.74 % (18653)Instructions burned: 5 (million)
% 0.52/0.74 % (18653)------------------------------
% 0.52/0.74 % (18653)------------------------------
% 0.52/0.74 % (18662)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)
% 0.52/0.74 % (18659)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)
% 0.52/0.74 % (18660)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)
% 0.52/0.74 % (18661)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)
% 0.52/0.75 % (18664)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)
% 0.52/0.75 % (18663)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)
% 0.52/0.75 % (18662)Refutation not found, incomplete strategy% (18662)------------------------------
% 0.52/0.75 % (18662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18662)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18662)Memory used [KB]: 1054
% 0.52/0.75 % (18662)Time elapsed: 0.003 s
% 0.52/0.75 % (18662)Instructions burned: 5 (million)
% 0.52/0.75 % (18660)Refutation not found, incomplete strategy% (18660)------------------------------
% 0.52/0.75 % (18660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18660)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18660)Memory used [KB]: 989
% 0.52/0.75 % (18660)Time elapsed: 0.003 s
% 0.52/0.75 % (18660)Instructions burned: 5 (million)
% 0.52/0.75 % (18662)------------------------------
% 0.52/0.75 % (18662)------------------------------
% 0.52/0.75 % (18660)------------------------------
% 0.52/0.75 % (18660)------------------------------
% 0.52/0.75 % (18659)Refutation not found, incomplete strategy% (18659)------------------------------
% 0.52/0.75 % (18659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18659)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18659)Memory used [KB]: 1064
% 0.52/0.75 % (18659)Time elapsed: 0.004 s
% 0.52/0.75 % (18659)Instructions burned: 6 (million)
% 0.52/0.75 % (18664)Refutation not found, incomplete strategy% (18664)------------------------------
% 0.52/0.75 % (18664)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18664)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18664)Memory used [KB]: 1001
% 0.52/0.75 % (18664)Time elapsed: 0.003 s
% 0.52/0.75 % (18664)Instructions burned: 4 (million)
% 0.52/0.75 % (18659)------------------------------
% 0.52/0.75 % (18659)------------------------------
% 0.52/0.75 % (18664)------------------------------
% 0.52/0.75 % (18664)------------------------------
% 0.52/0.75 % (18661)Refutation not found, incomplete strategy% (18661)------------------------------
% 0.52/0.75 % (18661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18661)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18661)Memory used [KB]: 1073
% 0.52/0.75 % (18661)Time elapsed: 0.006 s
% 0.52/0.75 % (18661)Instructions burned: 9 (million)
% 0.52/0.75 % (18661)------------------------------
% 0.52/0.75 % (18661)------------------------------
% 0.52/0.75 % (18665)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)
% 0.52/0.75 % (18667)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)
% 0.52/0.75 % (18668)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.52/0.75 % (18666)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)
% 0.52/0.75 % (18667)Refutation not found, incomplete strategy% (18667)------------------------------
% 0.52/0.75 % (18667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18667)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18667)Memory used [KB]: 997
% 0.52/0.75 % (18667)Time elapsed: 0.003 s
% 0.52/0.75 % (18667)Instructions burned: 3 (million)
% 0.52/0.75 % (18667)------------------------------
% 0.52/0.75 % (18667)------------------------------
% 0.52/0.75 % (18669)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.52/0.75 % (18666)Refutation not found, incomplete strategy% (18666)------------------------------
% 0.52/0.75 % (18666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18666)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18666)Memory used [KB]: 981
% 0.52/0.75 % (18666)Time elapsed: 0.003 s
% 0.52/0.75 % (18666)Instructions burned: 3 (million)
% 0.52/0.75 % (18666)------------------------------
% 0.52/0.75 % (18666)------------------------------
% 0.52/0.75 % (18669)Refutation not found, incomplete strategy% (18669)------------------------------
% 0.52/0.75 % (18669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75 % (18669)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.75
% 0.52/0.75 % (18669)Memory used [KB]: 981
% 0.52/0.75 % (18669)Time elapsed: 0.003 s
% 0.52/0.75 % (18669)Instructions burned: 3 (million)
% 0.52/0.75 % (18669)------------------------------
% 0.52/0.75 % (18669)------------------------------
% 0.52/0.76 % (18670)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.52/0.76 % (18671)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.52/0.76 % (18652)First to succeed.
% 0.52/0.76 % (18671)Refutation not found, incomplete strategy% (18671)------------------------------
% 0.52/0.76 % (18671)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.76 % (18671)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.76
% 0.52/0.76 % (18671)Memory used [KB]: 1054
% 0.52/0.76 % (18671)Time elapsed: 0.004 s
% 0.52/0.76 % (18671)Instructions burned: 6 (million)
% 0.52/0.76 % (18671)------------------------------
% 0.52/0.76 % (18671)------------------------------
% 0.52/0.76 % (18672)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.52/0.76 % (18652)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18650"
% 0.52/0.76 % (18652)Refutation found. Thanks to Tanya!
% 0.52/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.52/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.76 % (18652)------------------------------
% 0.68/0.76 % (18652)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76 % (18652)Termination reason: Refutation
% 0.68/0.76
% 0.68/0.76 % (18652)Memory used [KB]: 1318
% 0.68/0.76 % (18652)Time elapsed: 0.023 s
% 0.68/0.76 % (18652)Instructions burned: 43 (million)
% 0.68/0.76 % (18650)Success in time 0.391 s
% 0.68/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------