TSTP Solution File: GRP356-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP356-1 : 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 : n023.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 16:15:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 59
% Syntax : Number of formulae : 376 ( 32 unt; 0 def)
% Number of atoms : 1607 ( 442 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2427 (1196 ~;1214 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 103 ( 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1598,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f95,f104,f105,f110,f115,f120,f121,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f143,f156,f158,f159,f160,f162,f163,f164,f350,f390,f450,f486,f527,f640,f660,f718,f1415,f1438,f1450,f1452,f1469,f1531,f1545,f1559,f1596]) ).
fof(f1596,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_26 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1595,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_26 ),
inference(subsumption_resolution,[],[f1594,f1483]) ).
fof(f1483,plain,
( identity = inverse(identity)
| ~ spl11_17
| ~ spl11_26 ),
inference(forward_demodulation,[],[f397,f499]) ).
fof(f499,plain,
( identity = sk_c3
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl11_26
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
fof(f397,plain,
( identity = inverse(sk_c3)
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl11_17
<=> identity = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f1594,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1574,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f1574,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f1564,f1]) ).
fof(f1564,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1563,f1509]) ).
fof(f1509,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1281,f1413]) ).
fof(f1413,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1412,f1405]) ).
fof(f1405,plain,
( ! [X10] : multiply(sk_c6,X10) = X10
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1404,f1]) ).
fof(f1404,plain,
( ! [X10] : multiply(sk_c6,multiply(identity,X10)) = X10
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1303,f1398]) ).
fof(f1398,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1385,f1397]) ).
fof(f1397,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1396,f1295]) ).
fof(f1295,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1288,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1288,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1095,f1281]) ).
fof(f1095,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f209,f81]) ).
fof(f81,plain,
( sk_c6 = sF7
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl11_1
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f209,plain,
sk_c7 = multiply(inverse(sk_c8),sF7),
inference(superposition,[],[f189,f47]) ).
fof(f47,plain,
multiply(sk_c8,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f189,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f176,f1]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1396,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f552,f1281]) ).
fof(f552,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f49,f129]) ).
fof(f129,plain,
( sk_c7 = sF8
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl11_11
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f49,plain,
multiply(sk_c3,sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f1385,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1383,f1281]) ).
fof(f1383,plain,
( multiply(sk_c3,sk_c8) = sk_c5
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f528,f566]) ).
fof(f566,plain,
( sk_c3 = sk_c4
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f534,f558]) ).
fof(f558,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f217,f119]) ).
fof(f119,plain,
( sk_c8 = sF4
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl11_9
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f217,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f189,f170]) ).
fof(f170,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f534,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f216,f99]) ).
fof(f99,plain,
( sk_c8 = sF1
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_5
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f216,plain,
sk_c4 = multiply(inverse(sF1),identity),
inference(superposition,[],[f189,f171]) ).
fof(f171,plain,
identity = multiply(sF1,sk_c4),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f528,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f55,f94]) ).
fof(f94,plain,
( sk_c5 = sF9
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl11_4
<=> sk_c5 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f55,plain,
multiply(sk_c4,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f1303,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c5,X10)) = X10
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1298,f1]) ).
fof(f1298,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c5,X10)) = multiply(identity,X10)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1285,f1295]) ).
fof(f1285,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c5,X10)) = multiply(sk_c7,X10)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f531,f1281]) ).
fof(f531,plain,
( ! [X10] : multiply(sk_c8,multiply(sk_c5,X10)) = multiply(sk_c7,X10)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f179,f109]) ).
fof(f109,plain,
( sk_c7 = sF3
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl11_7
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f179,plain,
! [X10] : multiply(sF3,X10) = multiply(sk_c8,multiply(sk_c5,X10)),
inference(superposition,[],[f3,f40]) ).
fof(f40,plain,
multiply(sk_c8,sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f1412,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1411,f1386]) ).
fof(f1386,plain,
( sk_c6 = sF1
| ~ spl11_1
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f99,f1281]) ).
fof(f1411,plain,
( sk_c6 = multiply(sF1,identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1294,f1398]) ).
fof(f1294,plain,
( sk_c6 = multiply(sF1,sk_c5)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1280,f1281]) ).
fof(f1280,plain,
( sk_c8 = multiply(sF1,sk_c5)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f223,f94]) ).
fof(f223,plain,
sk_c8 = multiply(sF1,sF9),
inference(forward_demodulation,[],[f213,f37]) ).
fof(f213,plain,
sk_c8 = multiply(inverse(sk_c4),sF9),
inference(superposition,[],[f189,f55]) ).
fof(f1281,plain,
( sk_c6 = sk_c8
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f561,f1009]) ).
fof(f1009,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f47,f81]) ).
fof(f561,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f553,f119]) ).
fof(f553,plain,
( sk_c8 = multiply(sF4,sk_c7)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f222,f129]) ).
fof(f222,plain,
sk_c8 = multiply(sF4,sF8),
inference(forward_demodulation,[],[f212,f42]) ).
fof(f212,plain,
sk_c8 = multiply(inverse(sk_c3),sF8),
inference(superposition,[],[f189,f49]) ).
fof(f1563,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| sk_c8 != inverse(X7) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1562,f1295]) ).
fof(f1562,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| sk_c8 != inverse(X7) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f149,f1509]) ).
fof(f149,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl11_13
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f1559,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_26 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1558,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_26 ),
inference(subsumption_resolution,[],[f1557,f1483]) ).
fof(f1557,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_26 ),
inference(forward_demodulation,[],[f1553,f1483]) ).
fof(f1553,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f1551]) ).
fof(f1551,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f1548,f2]) ).
fof(f1548,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1547,f1509]) ).
fof(f1547,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1546,f1295]) ).
fof(f1546,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f146,f1295]) ).
fof(f146,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl11_12
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f1545,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_26 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1544,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_26 ),
inference(subsumption_resolution,[],[f1543,f1483]) ).
fof(f1543,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_26 ),
inference(forward_demodulation,[],[f1539,f1483]) ).
fof(f1539,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f1537]) ).
fof(f1537,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(superposition,[],[f1534,f2]) ).
fof(f1534,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1533,f1295]) ).
fof(f1533,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1532,f1509]) ).
fof(f1532,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f155,f1509]) ).
fof(f155,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl11_15
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1531,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_26 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1530,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_26 ),
inference(subsumption_resolution,[],[f1525,f1483]) ).
fof(f1525,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f1521]) ).
fof(f1521,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(superposition,[],[f1512,f1]) ).
fof(f1512,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1511,f1509]) ).
fof(f1511,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1510,f1413]) ).
fof(f1510,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f152,f1509]) ).
fof(f152,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl11_14
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1469,plain,
( spl11_17
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f1460,f127,f117,f107,f97,f92,f79,f396]) ).
fof(f1460,plain,
( identity = inverse(sk_c3)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1384,f1413]) ).
fof(f1384,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f555,f1281]) ).
fof(f555,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f42,f119]) ).
fof(f1452,plain,
( ~ spl11_1
| ~ spl11_9
| spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f1451]) ).
fof(f1451,plain,
( $false
| ~ spl11_1
| ~ spl11_9
| spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f1302,f1420]) ).
fof(f1420,plain,
( sk_c6 != sF0
| ~ spl11_1
| ~ spl11_9
| spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f124,f1281]) ).
fof(f124,plain,
( sk_c8 != sF0
| spl11_10 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl11_10
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f1302,plain,
( sk_c6 = sF0
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1296,f1]) ).
fof(f1296,plain,
( multiply(identity,sk_c6) = sF0
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f36,f1295]) ).
fof(f36,plain,
multiply(sk_c7,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f1450,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1449,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f1448,f1403]) ).
fof(f1403,plain,
( identity != sk_c6
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f113,f1401]) ).
fof(f1401,plain,
( identity = sF10
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1389,f1398]) ).
fof(f1389,plain,
( sk_c5 = sF10
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1388,f1385]) ).
fof(f1388,plain,
( sF10 = multiply(sk_c3,sk_c6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1387,f570]) ).
fof(f570,plain,
( sk_c3 = sk_c2
| ~ spl11_2
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f538,f566]) ).
fof(f538,plain,
( sk_c4 = sk_c2
| ~ spl11_2
| ~ spl11_5 ),
inference(backward_demodulation,[],[f211,f534]) ).
fof(f211,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl11_2 ),
inference(superposition,[],[f189,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl11_2 ),
inference(superposition,[],[f2,f166]) ).
fof(f166,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f46,f85]) ).
fof(f85,plain,
( sk_c8 = sF6
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_2
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f46,plain,
inverse(sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f1387,plain,
( multiply(sk_c2,sk_c6) = sF10
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f59,f1281]) ).
fof(f59,plain,
multiply(sk_c2,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f113,plain,
( sk_c6 != sF10
| spl11_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl11_8
<=> sk_c6 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1448,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1281,f1447]) ).
fof(f1447,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1446,f1295]) ).
fof(f1446,plain,
( sk_c7 = sk_c8
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f168,f1421]) ).
fof(f1421,plain,
( ! [X15] : multiply(sk_c1,X15) = X15
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1301,f1405]) ).
fof(f1301,plain,
( ! [X15] : multiply(sk_c6,X15) = multiply(sk_c1,X15)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1297,f1]) ).
fof(f1297,plain,
( ! [X15] : multiply(sk_c1,multiply(identity,X15)) = multiply(sk_c6,X15)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1284,f1295]) ).
fof(f1284,plain,
( ! [X15] : multiply(sk_c6,X15) = multiply(sk_c1,multiply(sk_c7,X15))
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f184,f1281]) ).
fof(f184,plain,
( ! [X15] : multiply(sk_c8,X15) = multiply(sk_c1,multiply(sk_c7,X15))
| ~ spl11_3 ),
inference(superposition,[],[f3,f168]) ).
fof(f168,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f39,f90]) ).
fof(f90,plain,
( sk_c8 = sF2
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl11_3
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f39,plain,
multiply(sk_c1,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f1438,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_26 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_26 ),
inference(subsumption_resolution,[],[f1436,f500]) ).
fof(f500,plain,
( identity != sk_c3
| spl11_26 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f1436,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1435,f1399]) ).
fof(f1399,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1394,f1398]) ).
fof(f1394,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1370,f1281]) ).
fof(f1370,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f210,f1355]) ).
fof(f1355,plain,
( identity = sF3
| ~ spl11_1
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f109,f1295]) ).
fof(f210,plain,
sk_c5 = multiply(inverse(sk_c8),sF3),
inference(superposition,[],[f189,f40]) ).
fof(f1435,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f558,f1281]) ).
fof(f1415,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1414,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f1413,f1403]) ).
fof(f718,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_26 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_26 ),
inference(subsumption_resolution,[],[f716,f698]) ).
fof(f698,plain,
( identity = inverse(identity)
| ~ spl11_17
| ~ spl11_26 ),
inference(backward_demodulation,[],[f397,f499]) ).
fof(f716,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_26 ),
inference(forward_demodulation,[],[f715,f698]) ).
fof(f715,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f713,f1]) ).
fof(f713,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f644,f2]) ).
fof(f644,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f643,f619]) ).
fof(f619,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f600,f1]) ).
fof(f600,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f577,f590]) ).
fof(f590,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f589,f2]) ).
fof(f589,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f209,f587]) ).
fof(f587,plain,
( sk_c8 = sF7
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f47,f579]) ).
fof(f579,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f195,f576]) ).
fof(f576,plain,
( sk_c7 = sk_c6
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f571,f552]) ).
fof(f571,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f539,f566]) ).
fof(f539,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8 ),
inference(backward_demodulation,[],[f165,f538]) ).
fof(f165,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f59,f114]) ).
fof(f114,plain,
( sk_c6 = sF10
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f195,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl11_2
| ~ spl11_8 ),
inference(superposition,[],[f190,f165]) ).
fof(f190,plain,
( ! [X12] : multiply(sk_c8,multiply(sk_c2,X12)) = X12
| ~ spl11_2 ),
inference(forward_demodulation,[],[f181,f1]) ).
fof(f181,plain,
( ! [X12] : multiply(sk_c8,multiply(sk_c2,X12)) = multiply(identity,X12)
| ~ spl11_2 ),
inference(superposition,[],[f3,f173]) ).
fof(f577,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f167,f576]) ).
fof(f167,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f36,f125]) ).
fof(f125,plain,
( sk_c8 = sF0
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f643,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| identity != multiply(identity,multiply(X7,identity)) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f594,f619]) ).
fof(f594,plain,
( ! [X7] :
( identity != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(backward_demodulation,[],[f149,f590]) ).
fof(f660,plain,
( spl11_17
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f659,f127,f123,f117,f112,f97,f83,f396]) ).
fof(f659,plain,
( identity = inverse(sk_c3)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f569,f619]) ).
fof(f569,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f537,f566]) ).
fof(f537,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f37,f99]) ).
fof(f640,plain,
( spl11_26
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f639,f127,f123,f117,f112,f97,f83,f498]) ).
fof(f639,plain,
( identity = sk_c3
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f638,f629]) ).
fof(f629,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f624,f617]) ).
fof(f617,plain,
( ! [X0] : multiply(inverse(identity),X0) = X0
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f609,f614]) ).
fof(f614,plain,
( ! [X8] : multiply(sk_c8,X8) = X8
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f613,f1]) ).
fof(f613,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(identity,X8)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f601,f1]) ).
fof(f601,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(identity,multiply(identity,X8))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f578,f590]) ).
fof(f578,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(sk_c7,multiply(sk_c7,X8))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f177,f576]) ).
fof(f177,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(sk_c7,multiply(sk_c6,X8))
| ~ spl11_10 ),
inference(superposition,[],[f3,f167]) ).
fof(f609,plain,
( ! [X0] : multiply(inverse(identity),multiply(sk_c8,X0)) = X0
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f603,f1]) ).
fof(f603,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(identity),multiply(sk_c8,X0))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f581,f590]) ).
fof(f581,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f224,f576]) ).
fof(f224,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c8,X0))
| ~ spl11_10 ),
inference(superposition,[],[f189,f177]) ).
fof(f624,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f560,f619]) ).
fof(f560,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f468,f119]) ).
fof(f468,plain,
! [X0] : multiply(sk_c3,X0) = multiply(inverse(sF4),X0),
inference(forward_demodulation,[],[f467,f1]) ).
fof(f467,plain,
! [X0] : multiply(sk_c3,X0) = multiply(inverse(sF4),multiply(identity,X0)),
inference(superposition,[],[f3,f217]) ).
fof(f638,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f607,f1]) ).
fof(f607,plain,
( multiply(sk_c3,identity) = multiply(identity,sk_c3)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f586,f590]) ).
fof(f586,plain,
( multiply(sk_c3,identity) = multiply(sk_c7,sk_c3)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f575,f576]) ).
fof(f575,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c3,identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f565,f566]) ).
fof(f565,plain,
( multiply(sk_c3,identity) = multiply(sk_c6,sk_c4)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f544,f562]) ).
fof(f562,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c4,X0)
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f532,f560]) ).
fof(f532,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f465,f99]) ).
fof(f465,plain,
! [X0] : multiply(sk_c4,X0) = multiply(inverse(sF1),X0),
inference(forward_demodulation,[],[f464,f1]) ).
fof(f464,plain,
! [X0] : multiply(sk_c4,X0) = multiply(inverse(sF1),multiply(identity,X0)),
inference(superposition,[],[f3,f216]) ).
fof(f544,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c4,identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_8 ),
inference(backward_demodulation,[],[f240,f538]) ).
fof(f240,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c2,identity)
| ~ spl11_2
| ~ spl11_8 ),
inference(superposition,[],[f185,f173]) ).
fof(f185,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c8,X16)) = multiply(sk_c6,X16)
| ~ spl11_8 ),
inference(superposition,[],[f3,f165]) ).
fof(f527,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f517,f340]) ).
fof(f340,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f261,f325]) ).
fof(f325,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f305,f323]) ).
fof(f323,plain,
( ! [X16] : multiply(sk_c2,X16) = X16
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f322,f1]) ).
fof(f322,plain,
( ! [X16] : multiply(sk_c2,multiply(identity,X16)) = multiply(identity,X16)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f271,f306]) ).
fof(f306,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f274,f301]) ).
fof(f301,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f298,f300]) ).
fof(f300,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f299,f292]) ).
fof(f292,plain,
( sk_c6 = sk_c1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f207,f274]) ).
fof(f207,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl11_6 ),
inference(superposition,[],[f189,f172]) ).
fof(f172,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl11_6 ),
inference(superposition,[],[f2,f169]) ).
fof(f169,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f43,f103]) ).
fof(f103,plain,
( sk_c7 = sF5
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl11_6
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f43,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f299,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f287,f1]) ).
fof(f287,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f244,f252]) ).
fof(f252,plain,
( identity = sk_c8
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f249,f2]) ).
fof(f249,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_3
| ~ spl11_6 ),
inference(superposition,[],[f189,f221]) ).
fof(f221,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f214,f169]) ).
fof(f214,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_3 ),
inference(superposition,[],[f189,f168]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f230,f241]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| ~ spl11_2
| ~ spl11_8 ),
inference(superposition,[],[f190,f185]) ).
fof(f230,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl11_3
| ~ spl11_10 ),
inference(superposition,[],[f184,f177]) ).
fof(f298,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),X0)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(forward_demodulation,[],[f282,f1]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f224,f252]) ).
fof(f274,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f206,f252]) ).
fof(f206,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c8)
| ~ spl11_10 ),
inference(superposition,[],[f189,f167]) ).
fof(f271,plain,
( ! [X16] : multiply(sk_c2,multiply(identity,X16)) = multiply(sk_c6,X16)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(backward_demodulation,[],[f185,f252]) ).
fof(f305,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f240,f300]) ).
fof(f261,plain,
( identity = inverse(sk_c2)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6 ),
inference(backward_demodulation,[],[f166,f252]) ).
fof(f517,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f510]) ).
fof(f510,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(superposition,[],[f509,f1]) ).
fof(f509,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f508,f252]) ).
fof(f508,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f507,f341]) ).
fof(f341,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f312,f340]) ).
fof(f312,plain,
( sk_c7 = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f293,f306]) ).
fof(f293,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f169,f292]) ).
fof(f507,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl11_3
| ~ spl11_6
| ~ spl11_15 ),
inference(forward_demodulation,[],[f155,f252]) ).
fof(f486,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f484,f340]) ).
fof(f484,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f480,f340]) ).
fof(f480,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f475]) ).
fof(f475,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(superposition,[],[f453,f2]) ).
fof(f453,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f452,f252]) ).
fof(f452,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f451,f306]) ).
fof(f451,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl11_3
| ~ spl11_6
| ~ spl11_14 ),
inference(forward_demodulation,[],[f152,f252]) ).
fof(f450,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f448,f340]) ).
fof(f448,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f447,f340]) ).
fof(f447,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f423,f1]) ).
fof(f423,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(superposition,[],[f411,f2]) ).
fof(f411,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f410,f341]) ).
fof(f410,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13 ),
inference(forward_demodulation,[],[f409,f252]) ).
fof(f409,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13 ),
inference(forward_demodulation,[],[f149,f252]) ).
fof(f390,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f388,f340]) ).
fof(f388,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f384,f340]) ).
fof(f384,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f381]) ).
fof(f381,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f367,f2]) ).
fof(f367,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f366,f252]) ).
fof(f366,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f365,f341]) ).
fof(f365,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f146,f341]) ).
fof(f350,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f347,f307]) ).
fof(f307,plain,
( identity != sF7
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f80,f306]) ).
fof(f80,plain,
( sk_c6 != sF7
| spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f347,plain,
( identity = sF7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f336,f341]) ).
fof(f336,plain,
( sk_c7 = sF7
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f254,f1]) ).
fof(f254,plain,
( multiply(identity,sk_c7) = sF7
| ~ spl11_3
| ~ spl11_6 ),
inference(backward_demodulation,[],[f47,f252]) ).
fof(f164,plain,
( spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f58,f107,f101]) ).
fof(f58,plain,
( sk_c7 = sF3
| sk_c7 = sF5 ),
inference(definition_folding,[],[f19,f40,f43]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f163,plain,
( spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f64,f101,f79]) ).
fof(f64,plain,
( sk_c7 = sF5
| sk_c6 = sF7 ),
inference(definition_folding,[],[f16,f47,f43]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f162,plain,
( spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f44,f101,f117]) ).
fof(f44,plain,
( sk_c7 = sF5
| sk_c8 = sF4 ),
inference(definition_folding,[],[f18,f43,f42]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f160,plain,
( spl11_4
| spl11_8 ),
inference(avatar_split_clause,[],[f61,f112,f92]) ).
fof(f61,plain,
( sk_c6 = sF10
| sk_c5 = sF9 ),
inference(definition_folding,[],[f26,f55,f59]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f159,plain,
( spl11_7
| spl11_2 ),
inference(avatar_split_clause,[],[f53,f83,f107]) ).
fof(f53,plain,
( sk_c8 = sF6
| sk_c7 = sF3 ),
inference(definition_folding,[],[f31,f46,f40]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f158,plain,
( spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f65,f117,f112]) ).
fof(f65,plain,
( sk_c8 = sF4
| sk_c6 = sF10 ),
inference(definition_folding,[],[f24,f42,f59]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f156,plain,
( spl11_12
| ~ spl11_10
| spl11_13
| ~ spl11_1
| spl11_14
| spl11_15 ),
inference(avatar_split_clause,[],[f57,f154,f151,f79,f148,f123,f145]) ).
fof(f57,plain,
! [X3,X7,X4,X5] :
( sk_c8 != inverse(X5)
| sk_c6 != multiply(X4,sk_c8)
| sk_c6 != sF7
| sk_c8 != inverse(X7)
| sk_c8 != sF0
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X3,sk_c7) ),
inference(definition_folding,[],[f35,f47,f36]) ).
fof(f35,plain,
! [X3,X7,X4,X5] :
( sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != multiply(X5,sk_c8)
| sk_c6 != multiply(X4,sk_c8)
| sk_c7 != inverse(X3) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X6)
| sk_c7 != multiply(X5,sk_c8)
| multiply(X7,sk_c8) != X6
| sk_c6 != multiply(X4,sk_c8)
| sk_c7 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f143,plain,
( spl11_4
| spl11_6 ),
inference(avatar_split_clause,[],[f71,f101,f92]) ).
fof(f71,plain,
( sk_c7 = sF5
| sk_c5 = sF9 ),
inference(definition_folding,[],[f20,f55,f43]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f141,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f72,f123,f117]) ).
fof(f72,plain,
( sk_c8 = sF0
| sk_c8 = sF4 ),
inference(definition_folding,[],[f6,f36,f42]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f140,plain,
( spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f54,f88,f97]) ).
fof(f54,plain,
( sk_c8 = sF2
| sk_c8 = sF1 ),
inference(definition_folding,[],[f15,f37,f39]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f139,plain,
( spl11_1
| spl11_10 ),
inference(avatar_split_clause,[],[f63,f123,f79]) ).
fof(f63,plain,
( sk_c8 = sF0
| sk_c6 = sF7 ),
inference(definition_folding,[],[f4,f36,f47]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f138,plain,
( spl11_8
| spl11_7 ),
inference(avatar_split_clause,[],[f74,f107,f112]) ).
fof(f74,plain,
( sk_c7 = sF3
| sk_c6 = sF10 ),
inference(definition_folding,[],[f25,f59,f40]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f137,plain,
( spl11_11
| spl11_2 ),
inference(avatar_split_clause,[],[f50,f83,f127]) ).
fof(f50,plain,
( sk_c8 = sF6
| sk_c7 = sF8 ),
inference(definition_folding,[],[f29,f46,f49]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f136,plain,
( spl11_11
| spl11_3 ),
inference(avatar_split_clause,[],[f76,f88,f127]) ).
fof(f76,plain,
( sk_c8 = sF2
| sk_c7 = sF8 ),
inference(definition_folding,[],[f11,f39,f49]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f135,plain,
( spl11_4
| spl11_2 ),
inference(avatar_split_clause,[],[f56,f83,f92]) ).
fof(f56,plain,
( sk_c8 = sF6
| sk_c5 = sF9 ),
inference(definition_folding,[],[f32,f46,f55]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f134,plain,
( spl11_5
| spl11_8 ),
inference(avatar_split_clause,[],[f77,f112,f97]) ).
fof(f77,plain,
( sk_c6 = sF10
| sk_c8 = sF1 ),
inference(definition_folding,[],[f27,f59,f37]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f133,plain,
( spl11_8
| spl11_11 ),
inference(avatar_split_clause,[],[f60,f127,f112]) ).
fof(f60,plain,
( sk_c7 = sF8
| sk_c6 = sF10 ),
inference(definition_folding,[],[f23,f59,f49]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f132,plain,
( spl11_11
| spl11_6 ),
inference(avatar_split_clause,[],[f69,f101,f127]) ).
fof(f69,plain,
( sk_c7 = sF5
| sk_c7 = sF8 ),
inference(definition_folding,[],[f17,f49,f43]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f131,plain,
( spl11_5
| spl11_2 ),
inference(avatar_split_clause,[],[f51,f83,f97]) ).
fof(f51,plain,
( sk_c8 = sF6
| sk_c8 = sF1 ),
inference(definition_folding,[],[f33,f46,f37]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f130,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f52,f127,f123]) ).
fof(f52,plain,
( sk_c7 = sF8
| sk_c8 = sF0 ),
inference(definition_folding,[],[f5,f49,f36]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f121,plain,
( spl11_9
| spl11_2 ),
inference(avatar_split_clause,[],[f73,f83,f117]) ).
fof(f73,plain,
( sk_c8 = sF6
| sk_c8 = sF4 ),
inference(definition_folding,[],[f30,f46,f42]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f120,plain,
( spl11_3
| spl11_9 ),
inference(avatar_split_clause,[],[f67,f117,f88]) ).
fof(f67,plain,
( sk_c8 = sF4
| sk_c8 = sF2 ),
inference(definition_folding,[],[f12,f39,f42]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f115,plain,
( spl11_1
| spl11_8 ),
inference(avatar_split_clause,[],[f62,f112,f79]) ).
fof(f62,plain,
( sk_c6 = sF10
| sk_c6 = sF7 ),
inference(definition_folding,[],[f22,f59,f47]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f110,plain,
( spl11_7
| spl11_3 ),
inference(avatar_split_clause,[],[f41,f88,f107]) ).
fof(f41,plain,
( sk_c8 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f13,f40,f39]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f105,plain,
( spl11_3
| spl11_1 ),
inference(avatar_split_clause,[],[f68,f79,f88]) ).
fof(f68,plain,
( sk_c6 = sF7
| sk_c8 = sF2 ),
inference(definition_folding,[],[f10,f39,f47]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f104,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f45,f101,f97]) ).
fof(f45,plain,
( sk_c7 = sF5
| sk_c8 = sF1 ),
inference(definition_folding,[],[f21,f37,f43]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f95,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f70,f92,f88]) ).
fof(f70,plain,
( sk_c5 = sF9
| sk_c8 = sF2 ),
inference(definition_folding,[],[f14,f39,f55]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f86,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f48,f83,f79]) ).
fof(f48,plain,
( sk_c8 = sF6
| sk_c6 = sF7 ),
inference(definition_folding,[],[f28,f47,f46]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP356-1 : 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
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:46:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (5752)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (5771)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)
% 0.19/0.51 % (5763)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)
% 0.19/0.51 % (5762)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)
% 0.19/0.51 % (5759)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)
% 0.19/0.52 % (5753)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)
% 0.19/0.52 % (5770)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)
% 0.19/0.52 % (5771)Instruction limit reached!
% 0.19/0.52 % (5771)------------------------------
% 0.19/0.52 % (5771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5781)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)
% 0.19/0.52 % (5756)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)
% 0.19/0.52 % (5771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5771)Termination reason: Unknown
% 0.19/0.52 % (5771)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (5771)Memory used [KB]: 6012
% 0.19/0.52 % (5771)Time elapsed: 0.125 s
% 0.19/0.52 % (5771)Instructions burned: 7 (million)
% 0.19/0.52 % (5771)------------------------------
% 0.19/0.52 % (5771)------------------------------
% 0.19/0.53 % (5756)Refutation not found, incomplete strategy% (5756)------------------------------
% 0.19/0.53 % (5756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5756)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (5756)Memory used [KB]: 5884
% 0.19/0.53 % (5756)Time elapsed: 0.134 s
% 0.19/0.53 % (5756)Instructions burned: 4 (million)
% 0.19/0.53 % (5756)------------------------------
% 0.19/0.53 % (5756)------------------------------
% 0.19/0.53 % (5766)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)
% 0.19/0.53 % (5759)Refutation not found, incomplete strategy% (5759)------------------------------
% 0.19/0.53 % (5759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5754)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)
% 0.19/0.53 % (5760)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)
% 0.19/0.53 % (5776)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)
% 0.19/0.53 % (5759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5759)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (5759)Memory used [KB]: 5884
% 0.19/0.53 % (5759)Time elapsed: 0.126 s
% 0.19/0.53 % (5759)Instructions burned: 5 (million)
% 0.19/0.53 % (5759)------------------------------
% 0.19/0.53 % (5759)------------------------------
% 0.19/0.53 % (5760)Instruction limit reached!
% 0.19/0.53 % (5760)------------------------------
% 0.19/0.53 % (5760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5765)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)
% 0.19/0.53 % (5778)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)
% 0.19/0.53 % (5768)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)
% 0.19/0.53 % (5772)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)
% 0.19/0.53 % (5768)Instruction limit reached!
% 0.19/0.53 % (5768)------------------------------
% 0.19/0.53 % (5768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5768)Termination reason: Unknown
% 0.19/0.53 % (5768)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (5768)Memory used [KB]: 1279
% 0.19/0.53 % (5768)Time elapsed: 0.002 s
% 0.19/0.53 % (5768)Instructions burned: 2 (million)
% 0.19/0.53 % (5768)------------------------------
% 0.19/0.53 % (5768)------------------------------
% 0.19/0.53 % (5779)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)
% 0.19/0.54 % (5762)Instruction limit reached!
% 0.19/0.54 % (5762)------------------------------
% 0.19/0.54 % (5762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5762)Termination reason: Unknown
% 0.19/0.54 % (5762)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5777)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)
% 0.19/0.54 % (5762)Memory used [KB]: 6012
% 0.19/0.54 % (5762)Time elapsed: 0.137 s
% 0.19/0.54 % (5762)Instructions burned: 7 (million)
% 0.19/0.54 % (5762)------------------------------
% 0.19/0.54 % (5762)------------------------------
% 0.19/0.54 % (5760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5760)Termination reason: Unknown
% 0.19/0.54 % (5760)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5760)Memory used [KB]: 5884
% 0.19/0.54 % (5760)Time elapsed: 0.003 s
% 0.19/0.54 % (5760)Instructions burned: 3 (million)
% 0.19/0.54 % (5760)------------------------------
% 0.19/0.54 % (5760)------------------------------
% 0.19/0.54 % (5765)Instruction limit reached!
% 0.19/0.54 % (5765)------------------------------
% 0.19/0.54 % (5765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5765)Termination reason: Unknown
% 0.19/0.54 % (5765)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5765)Memory used [KB]: 5884
% 0.19/0.54 % (5765)Time elapsed: 0.004 s
% 0.19/0.54 % (5765)Instructions burned: 4 (million)
% 0.19/0.54 % (5765)------------------------------
% 0.19/0.54 % (5765)------------------------------
% 0.19/0.54 % (5764)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)
% 0.19/0.54 % (5758)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)
% 0.19/0.54 % (5769)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (5778)Refutation not found, incomplete strategy% (5778)------------------------------
% 0.19/0.54 % (5778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5778)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54 % (5754)Instruction limit reached!
% 0.19/0.54 % (5754)------------------------------
% 0.19/0.54 % (5754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5754)Termination reason: Unknown
% 0.19/0.54 % (5754)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5754)Memory used [KB]: 5884
% 0.19/0.54 % (5754)Time elapsed: 0.004 s
% 0.19/0.54 % (5754)Instructions burned: 4 (million)
% 0.19/0.54 % (5754)------------------------------
% 0.19/0.54 % (5754)------------------------------
% 0.19/0.54
% 0.19/0.54 % (5778)Memory used [KB]: 5884
% 0.19/0.54 % (5778)Time elapsed: 0.138 s
% 0.19/0.54 % (5778)Instructions burned: 6 (million)
% 0.19/0.54 % (5778)------------------------------
% 0.19/0.54 % (5778)------------------------------
% 0.19/0.54 % (5780)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)
% 0.19/0.54 % (5755)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)
% 0.19/0.54 % (5763)Instruction limit reached!
% 0.19/0.54 % (5763)------------------------------
% 0.19/0.54 % (5763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5763)Termination reason: Unknown
% 0.19/0.54 % (5763)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5763)Memory used [KB]: 6268
% 0.19/0.54 % (5763)Time elapsed: 0.149 s
% 0.19/0.54 % (5763)Instructions burned: 25 (million)
% 0.19/0.54 % (5763)------------------------------
% 0.19/0.54 % (5763)------------------------------
% 0.19/0.55 % (5755)Refutation not found, incomplete strategy% (5755)------------------------------
% 0.19/0.55 % (5755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5755)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (5755)Memory used [KB]: 5884
% 0.19/0.55 % (5755)Time elapsed: 0.154 s
% 0.19/0.55 % (5755)Instructions burned: 3 (million)
% 0.19/0.55 % (5755)------------------------------
% 0.19/0.55 % (5755)------------------------------
% 0.19/0.55 % (5774)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)
% 0.19/0.55 % (5772)Instruction limit reached!
% 0.19/0.55 % (5772)------------------------------
% 0.19/0.55 % (5772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5772)Termination reason: Unknown
% 0.19/0.55 % (5772)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5772)Memory used [KB]: 1407
% 0.19/0.55 % (5772)Time elapsed: 0.157 s
% 0.19/0.55 % (5772)Instructions burned: 6 (million)
% 0.19/0.55 % (5772)------------------------------
% 0.19/0.55 % (5772)------------------------------
% 0.19/0.55 % (5764)Instruction limit reached!
% 0.19/0.55 % (5764)------------------------------
% 0.19/0.55 % (5764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5764)Termination reason: Unknown
% 0.19/0.55 % (5764)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5764)Memory used [KB]: 5884
% 0.19/0.55 % (5764)Time elapsed: 0.148 s
% 0.19/0.55 % (5764)Instructions burned: 5 (million)
% 0.19/0.55 % (5764)------------------------------
% 0.19/0.55 % (5764)------------------------------
% 0.19/0.55 % (5770)Instruction limit reached!
% 0.19/0.55 % (5770)------------------------------
% 0.19/0.55 % (5770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5770)Termination reason: Unknown
% 0.19/0.55 % (5770)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5770)Memory used [KB]: 10618
% 0.19/0.55 % (5770)Time elapsed: 0.137 s
% 0.19/0.55 % (5770)Instructions burned: 28 (million)
% 0.19/0.55 % (5770)------------------------------
% 0.19/0.55 % (5770)------------------------------
% 0.19/0.56 % (5752)First to succeed.
% 0.19/0.56 % (5757)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.56 % (5752)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (5752)------------------------------
% 0.19/0.56 % (5752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (5752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (5752)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (5752)Memory used [KB]: 6524
% 0.19/0.56 % (5752)Time elapsed: 0.163 s
% 0.19/0.56 % (5752)Instructions burned: 47 (million)
% 0.19/0.56 % (5752)------------------------------
% 0.19/0.56 % (5752)------------------------------
% 0.19/0.56 % (5751)Success in time 0.208 s
%------------------------------------------------------------------------------