TSTP Solution File: GRP319-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP319-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:31 EDT 2024
% Result : Unsatisfiable 0.63s 0.78s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 57
% Syntax : Number of formulae : 265 ( 4 unt; 0 def)
% Number of atoms : 1071 ( 306 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1596 ( 790 ~; 786 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1848,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f55,f60,f65,f70,f75,f80,f81,f82,f83,f84,f85,f90,f91,f92,f93,f94,f95,f100,f101,f102,f103,f104,f110,f111,f112,f113,f114,f120,f121,f122,f123,f124,f141,f285,f452,f648,f685,f724,f762,f863,f1222,f1270,f1349,f1393,f1401,f1439,f1465,f1540,f1847]) ).
fof(f1847,plain,
( ~ spl0_26
| ~ spl0_9
| ~ spl0_14
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1844,f1252,f130,f87,f1252]) ).
fof(f87,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f130,plain,
( spl0_14
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1252,plain,
( spl0_26
<=> sk_c8 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1844,plain,
( sk_c8 != sk_c9
| ~ spl0_9
| ~ spl0_14
| ~ spl0_26 ),
inference(superposition,[],[f1831,f89]) ).
fof(f89,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f1831,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1825]) ).
fof(f1825,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_26 ),
inference(superposition,[],[f1466,f1278]) ).
fof(f1278,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f872,f1253]) ).
fof(f1253,plain,
( sk_c8 = sk_c9
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f872,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f871,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',left_identity) ).
fof(f871,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f807]) ).
fof(f807,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f89]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',associativity) ).
fof(f1466,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_demodulation,[],[f131,f1253]) ).
fof(f131,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f1540,plain,
( ~ spl0_26
| ~ spl0_8
| ~ spl0_9
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1539,f1252,f1248,f87,f77,f1252]) ).
fof(f77,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1248,plain,
( spl0_25
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1539,plain,
( sk_c8 != sk_c9
| ~ spl0_8
| ~ spl0_9
| spl0_25
| ~ spl0_26 ),
inference(superposition,[],[f1526,f89]) ).
fof(f1526,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_9
| spl0_25
| ~ spl0_26 ),
inference(superposition,[],[f1250,f1497]) ).
fof(f1497,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f1489,f1276]) ).
fof(f1276,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f807,f1253]) ).
fof(f1489,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f1278,f1478]) ).
fof(f1478,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1470,f1278]) ).
fof(f1470,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f821,f872]) ).
fof(f821,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f79]) ).
fof(f79,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f1250,plain,
( sk_c9 != inverse(identity)
| spl0_25 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1465,plain,
( ~ spl0_26
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1464,f1252,f133,f87,f77,f1252]) ).
fof(f133,plain,
( spl0_15
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1464,plain,
( sk_c8 != sk_c9
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_26 ),
inference(superposition,[],[f1452,f89]) ).
fof(f1452,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1450]) ).
fof(f1450,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_26 ),
inference(superposition,[],[f1440,f1274]) ).
fof(f1274,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_8
| ~ spl0_26 ),
inference(superposition,[],[f79,f1253]) ).
fof(f1440,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f134,f1253]) ).
fof(f134,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f1439,plain,
( ~ spl0_26
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1438,f1252,f136,f87,f77,f43,f1252]) ).
fof(f43,plain,
( spl0_1
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f136,plain,
( spl0_16
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1438,plain,
( sk_c8 != sk_c9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(superposition,[],[f1421,f89]) ).
fof(f1421,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1419]) ).
fof(f1419,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(superposition,[],[f1405,f1274]) ).
fof(f1405,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1404,f1253]) ).
fof(f1404,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1403,f1257]) ).
fof(f1257,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1074,f45]) ).
fof(f45,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f1074,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f872,f79]) ).
fof(f1403,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1402,f1253]) ).
fof(f1402,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f137,f1253]) ).
fof(f137,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f1401,plain,
( ~ spl0_26
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f1400,f1224,f87,f77,f43,f1252]) ).
fof(f1224,plain,
( spl0_20
<=> sk_c9 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1400,plain,
( sk_c8 != sk_c9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| spl0_20 ),
inference(superposition,[],[f1226,f1257]) ).
fof(f1226,plain,
( sk_c9 != sk_c7
| spl0_20 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1393,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1392,f1252,f139,f87,f77,f43,f1224]) ).
fof(f139,plain,
( spl0_17
<=> ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1392,plain,
( sk_c9 != sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1391,f1253]) ).
fof(f1391,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1390,f89]) ).
fof(f1390,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1389]) ).
fof(f1389,plain,
( sk_c9 != sk_c9
| sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1388,f1253]) ).
fof(f1388,plain,
( sk_c8 != sk_c9
| sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1341,f1257]) ).
fof(f1341,plain,
( sk_c9 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_17
| ~ spl0_26 ),
inference(superposition,[],[f140,f1274]) ).
fof(f140,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(X8) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f1349,plain,
( ~ spl0_25
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1348,f1252,f139,f87,f77,f43,f1248]) ).
fof(f1348,plain,
( sk_c9 != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1347,f1253]) ).
fof(f1347,plain,
( sk_c8 != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1346,f1257]) ).
fof(f1346,plain,
( sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1345]) ).
fof(f1345,plain,
( sk_c9 != sk_c9
| sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1344,f1253]) ).
fof(f1344,plain,
( sk_c8 != sk_c9
| sk_c7 != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1332,f1257]) ).
fof(f1332,plain,
( sk_c9 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_17 ),
inference(superposition,[],[f140,f1]) ).
fof(f1270,plain,
( spl0_26
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1266,f117,f107,f97,f1252]) ).
fof(f97,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f107,plain,
( spl0_11
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f117,plain,
( spl0_12
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1266,plain,
( sk_c8 = sk_c9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f99,f1103]) ).
fof(f1103,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f876,f109]) ).
fof(f109,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f876,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f874,f1]) ).
fof(f874,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f811]) ).
fof(f811,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f2,f119]) ).
fof(f119,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f99,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f1222,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1191,f127,f77,f87]) ).
fof(f127,plain,
( spl0_13
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1191,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1189]) ).
fof(f1189,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f128,f79]) ).
fof(f128,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f863,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f862,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(trivial_inequality_removal,[],[f861]) ).
fof(f861,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f858,f777]) ).
fof(f777,plain,
( sk_c8 = sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f773,f560]) ).
fof(f560,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f180,f157]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f143]) ).
fof(f143,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f3,f177]) ).
fof(f177,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f174,f49]) ).
fof(f49,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f174,plain,
( multiply(sk_c4,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f151,f164]) ).
fof(f164,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f158,f49]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f149,f1]) ).
fof(f149,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f142]) ).
fof(f142,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_3
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f151,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f49]) ).
fof(f773,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f160,f770]) ).
fof(f770,plain,
( sk_c9 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f45,f560]) ).
fof(f160,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f157,f59]) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f858,plain,
( sk_c8 != sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f857,f770]) ).
fof(f857,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f852,f49]) ).
fof(f852,plain,
( sk_c7 != multiply(sk_c4,sk_c9)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f73,f849]) ).
fof(f849,plain,
( sk_c4 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f848,f804]) ).
fof(f804,plain,
( sk_c4 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f802,f560]) ).
fof(f802,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f172,f794]) ).
fof(f794,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f781,f779]) ).
fof(f779,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f778,f560]) ).
fof(f778,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f774,f560]) ).
fof(f774,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f163,f770]) ).
fof(f163,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f3,f160]) ).
fof(f781,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f143,f777]) ).
fof(f172,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c4,identity)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f151,f142]) ).
fof(f848,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f847,f794]) ).
fof(f847,plain,
( sk_c6 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f845,f560]) ).
fof(f845,plain,
( multiply(sk_c4,identity) = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f151,f771]) ).
fof(f771,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f144,f770]) ).
fof(f144,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_6
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f73,plain,
( sk_c7 != multiply(sk_c6,sk_c9)
| spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f762,plain,
( ~ spl0_3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f761,f139,f72,f67,f62,f57,f52,f52]) ).
fof(f761,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f738,f341]) ).
fof(f341,plain,
( sk_c4 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f336,f244]) ).
fof(f244,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f234,f142]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f230,f201]) ).
fof(f201,plain,
( sk_c9 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f198,f59]) ).
fof(f198,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f193,f168]) ).
fof(f168,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f159,f74]) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f150,f1]) ).
fof(f150,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f144]) ).
fof(f193,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f152,f160]) ).
fof(f152,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f59]) ).
fof(f230,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f159,f218]) ).
fof(f218,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f217,f158]) ).
fof(f217,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = multiply(sk_c6,X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f210,f201]) ).
fof(f210,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f153,f158]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f74]) ).
fof(f336,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f208,f234]) ).
fof(f208,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f144,f201]) ).
fof(f738,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f737]) ).
fof(f737,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f726,f218]) ).
fof(f726,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f725,f201]) ).
fof(f725,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c9)
| sk_c7 != inverse(X8) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f140,f201]) ).
fof(f724,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f723,f136,f72,f67,f62,f57,f52,f47,f52]) ).
fof(f723,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f700,f341]) ).
fof(f700,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f699]) ).
fof(f699,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f688,f218]) ).
fof(f688,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f687,f201]) ).
fof(f687,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f686,f243]) ).
fof(f243,plain,
( sk_c8 = sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f234,f164]) ).
fof(f686,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f137,f243]) ).
fof(f685,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f684,f133,f72,f67,f62,f57,f52,f47,f52]) ).
fof(f684,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f661,f341]) ).
fof(f661,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f660]) ).
fof(f660,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f649,f218]) ).
fof(f649,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f134,f243]) ).
fof(f648,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f647,f130,f72,f67,f62,f57,f52,f47,f52]) ).
fof(f647,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f635,f341]) ).
fof(f635,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f633]) ).
fof(f633,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f453,f206]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f159,f201]) ).
fof(f453,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f131,f243]) ).
fof(f452,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f451,f127,f72,f67,f62,f57,f52,f47,f52]) ).
fof(f451,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f420,f341]) ).
fof(f420,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f419,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f287,f218]) ).
fof(f287,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f286,f243]) ).
fof(f286,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f128,f243]) ).
fof(f285,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f283]) ).
fof(f283,plain,
( sk_c9 != sk_c9
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f266,f201]) ).
fof(f266,plain,
( sk_c9 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f256,f205]) ).
fof(f205,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f168,f201]) ).
fof(f256,plain,
( sk_c7 != multiply(sk_c9,sk_c9)
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f44,f243]) ).
fof(f44,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f141,plain,
( ~ spl0_1
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f41,f139,f136,f133,f130,f127,f43]) ).
fof(f41,plain,
! [X3,X8,X6,X7,X5] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_37) ).
fof(f124,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f67,f117]) ).
fof(f38,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_35) ).
fof(f123,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f62,f117]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_34) ).
fof(f122,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f36,f57,f117]) ).
fof(f36,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_33) ).
fof(f121,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f52,f117]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_32) ).
fof(f120,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f47,f117]) ).
fof(f34,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_31) ).
fof(f114,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f67,f107]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_29) ).
fof(f113,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f62,f107]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_28) ).
fof(f112,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f57,f107]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_27) ).
fof(f111,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f52,f107]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_26) ).
fof(f110,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f47,f107]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_25) ).
fof(f104,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f67,f97]) ).
fof(f26,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_23) ).
fof(f103,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f62,f97]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_22) ).
fof(f102,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f57,f97]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_21) ).
fof(f101,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f52,f97]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_20) ).
fof(f100,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f47,f97]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_19) ).
fof(f95,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f72,f87]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_18) ).
fof(f94,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f67,f87]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_17) ).
fof(f93,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f62,f87]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_16) ).
fof(f92,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f57,f87]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_15) ).
fof(f91,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f52,f87]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_14) ).
fof(f90,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f47,f87]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_13) ).
fof(f85,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f72,f77]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_12) ).
fof(f84,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f67,f77]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_11) ).
fof(f83,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f62,f77]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_10) ).
fof(f82,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f57,f77]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_9) ).
fof(f81,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f52,f77]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_8) ).
fof(f80,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f47,f77]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_7) ).
fof(f75,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f72,f43]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_6) ).
fof(f70,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f67,f43]) ).
fof(f8,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_5) ).
fof(f65,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f62,f43]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_4) ).
fof(f60,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f57,f43]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_3) ).
fof(f55,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f52,f43]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_2) ).
fof(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f47,f43]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 18:32:04 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.12Qkzavjn9/Vampire---4.8_31684
% 0.59/0.75 % (32080)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)
% 0.59/0.75 % (32075)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (32076)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)
% 0.59/0.75 % (32077)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)
% 0.59/0.75 % (32080)Refutation not found, incomplete strategy% (32080)------------------------------
% 0.59/0.75 % (32080)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (32080)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (32074)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)
% 0.59/0.75 % (32080)Memory used [KB]: 987
% 0.59/0.75 % (32078)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)
% 0.59/0.75 % (32080)Time elapsed: 0.002 s
% 0.59/0.75 % (32080)Instructions burned: 4 (million)
% 0.59/0.75 % (32080)------------------------------
% 0.59/0.75 % (32080)------------------------------
% 0.59/0.75 % (32073)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)
% 0.59/0.75 % (32079)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)
% 0.59/0.76 % (32076)Refutation not found, incomplete strategy% (32076)------------------------------
% 0.59/0.76 % (32076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (32076)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (32076)Memory used [KB]: 983
% 0.59/0.76 % (32076)Time elapsed: 0.004 s
% 0.59/0.76 % (32073)Refutation not found, incomplete strategy% (32073)------------------------------
% 0.59/0.76 % (32073)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (32076)Instructions burned: 4 (million)
% 0.59/0.76 % (32076)------------------------------
% 0.59/0.76 % (32076)------------------------------
% 0.59/0.76 % (32077)Refutation not found, incomplete strategy% (32077)------------------------------
% 0.59/0.76 % (32077)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (32077)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (32077)Memory used [KB]: 1001
% 0.59/0.76 % (32077)Time elapsed: 0.004 s
% 0.59/0.76 % (32077)Instructions burned: 5 (million)
% 0.59/0.76 % (32077)------------------------------
% 0.59/0.76 % (32077)------------------------------
% 0.59/0.76 % (32073)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (32073)Memory used [KB]: 1002
% 0.59/0.76 % (32073)Time elapsed: 0.004 s
% 0.59/0.76 % (32073)Instructions burned: 4 (million)
% 0.59/0.76 % (32073)------------------------------
% 0.59/0.76 % (32073)------------------------------
% 0.59/0.76 % (32078)Refutation not found, incomplete strategy% (32078)------------------------------
% 0.59/0.76 % (32078)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (32075)Refutation not found, incomplete strategy% (32075)------------------------------
% 0.59/0.76 % (32075)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (32075)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (32075)Memory used [KB]: 1054
% 0.59/0.76 % (32075)Time elapsed: 0.004 s
% 0.59/0.76 % (32075)Instructions burned: 5 (million)
% 0.59/0.76 % (32075)------------------------------
% 0.59/0.76 % (32075)------------------------------
% 0.59/0.76 % (32078)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (32078)Memory used [KB]: 989
% 0.59/0.76 % (32078)Time elapsed: 0.004 s
% 0.59/0.76 % (32078)Instructions burned: 5 (million)
% 0.59/0.76 % (32078)------------------------------
% 0.59/0.76 % (32078)------------------------------
% 0.59/0.76 % (32083)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)
% 0.59/0.76 % (32079)Refutation not found, incomplete strategy% (32079)------------------------------
% 0.59/0.76 % (32079)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (32079)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (32079)Memory used [KB]: 1068
% 0.59/0.76 % (32079)Time elapsed: 0.005 s
% 0.59/0.76 % (32079)Instructions burned: 6 (million)
% 0.59/0.76 % (32079)------------------------------
% 0.59/0.76 % (32079)------------------------------
% 0.59/0.76 % (32083)Refutation not found, incomplete strategy% (32083)------------------------------
% 0.59/0.76 % (32083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (32083)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (32083)Memory used [KB]: 1055
% 0.59/0.76 % (32083)Time elapsed: 0.002 s
% 0.59/0.76 % (32083)Instructions burned: 5 (million)
% 0.59/0.76 % (32083)------------------------------
% 0.59/0.76 % (32083)------------------------------
% 0.59/0.76 % (32084)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)
% 0.59/0.76 % (32086)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)
% 0.63/0.76 % (32088)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)
% 0.63/0.76 % (32087)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)
% 0.63/0.76 % (32089)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)
% 0.63/0.76 % (32091)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)
% 0.63/0.76 % (32090)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)
% 0.63/0.76 % (32091)Refutation not found, incomplete strategy% (32091)------------------------------
% 0.63/0.76 % (32091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (32091)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (32091)Memory used [KB]: 988
% 0.63/0.76 % (32091)Time elapsed: 0.002 s
% 0.63/0.76 % (32091)Instructions burned: 4 (million)
% 0.63/0.76 % (32091)------------------------------
% 0.63/0.76 % (32091)------------------------------
% 0.63/0.76 % (32089)Refutation not found, incomplete strategy% (32089)------------------------------
% 0.63/0.76 % (32089)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (32089)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (32089)Memory used [KB]: 1007
% 0.63/0.76 % (32089)Time elapsed: 0.004 s
% 0.63/0.76 % (32089)Instructions burned: 4 (million)
% 0.63/0.76 % (32089)------------------------------
% 0.63/0.76 % (32089)------------------------------
% 0.63/0.76 % (32084)Refutation not found, incomplete strategy% (32084)------------------------------
% 0.63/0.76 % (32084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (32084)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (32084)Memory used [KB]: 992
% 0.63/0.76 % (32084)Time elapsed: 0.004 s
% 0.63/0.76 % (32084)Instructions burned: 6 (million)
% 0.63/0.76 % (32084)------------------------------
% 0.63/0.76 % (32084)------------------------------
% 0.63/0.76 % (32087)Refutation not found, incomplete strategy% (32087)------------------------------
% 0.63/0.76 % (32087)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (32087)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (32088)Refutation not found, incomplete strategy% (32088)------------------------------
% 0.63/0.76 % (32088)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (32088)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (32088)Memory used [KB]: 1052
% 0.63/0.76 % (32088)Time elapsed: 0.005 s
% 0.63/0.76 % (32088)Instructions burned: 5 (million)
% 0.63/0.76 % (32088)------------------------------
% 0.63/0.76 % (32088)------------------------------
% 0.63/0.76 % (32087)Memory used [KB]: 1054
% 0.63/0.76 % (32087)Time elapsed: 0.005 s
% 0.63/0.76 % (32087)Instructions burned: 5 (million)
% 0.63/0.76 % (32087)------------------------------
% 0.63/0.76 % (32087)------------------------------
% 0.63/0.76 % (32094)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)
% 0.63/0.77 % (32086)Refutation not found, incomplete strategy% (32086)------------------------------
% 0.63/0.77 % (32086)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (32086)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (32086)Memory used [KB]: 1095
% 0.63/0.77 % (32086)Time elapsed: 0.007 s
% 0.63/0.77 % (32086)Instructions burned: 9 (million)
% 0.63/0.77 % (32086)------------------------------
% 0.63/0.77 % (32086)------------------------------
% 0.63/0.77 % (32094)Refutation not found, incomplete strategy% (32094)------------------------------
% 0.63/0.77 % (32094)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (32094)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (32094)Memory used [KB]: 1003
% 0.63/0.77 % (32094)Time elapsed: 0.002 s
% 0.63/0.77 % (32094)Instructions burned: 4 (million)
% 0.63/0.77 % (32094)------------------------------
% 0.63/0.77 % (32094)------------------------------
% 0.63/0.77 % (32095)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)
% 0.63/0.77 % (32096)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)
% 0.63/0.77 % (32098)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)
% 0.63/0.77 % (32097)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)
% 0.63/0.77 % (32101)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.63/0.77 % (32096)Refutation not found, incomplete strategy% (32096)------------------------------
% 0.63/0.77 % (32096)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (32096)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (32096)Memory used [KB]: 987
% 0.63/0.77 % (32096)Time elapsed: 0.004 s
% 0.63/0.77 % (32096)Instructions burned: 3 (million)
% 0.63/0.77 % (32096)------------------------------
% 0.63/0.77 % (32096)------------------------------
% 0.63/0.77 % (32100)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)
% 0.63/0.77 % (32098)Refutation not found, incomplete strategy% (32098)------------------------------
% 0.63/0.77 % (32098)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (32098)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (32098)Memory used [KB]: 1055
% 0.63/0.77 % (32098)Time elapsed: 0.005 s
% 0.63/0.77 % (32098)Instructions burned: 5 (million)
% 0.63/0.77 % (32098)------------------------------
% 0.63/0.77 % (32098)------------------------------
% 0.63/0.77 % (32100)Refutation not found, incomplete strategy% (32100)------------------------------
% 0.63/0.77 % (32100)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (32100)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (32100)Memory used [KB]: 1003
% 0.63/0.77 % (32100)Time elapsed: 0.004 s
% 0.63/0.77 % (32100)Instructions burned: 5 (million)
% 0.63/0.77 % (32100)------------------------------
% 0.63/0.77 % (32100)------------------------------
% 0.63/0.77 % (32104)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.63/0.78 % (32105)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.63/0.78 % (32104)Refutation not found, incomplete strategy% (32104)------------------------------
% 0.63/0.78 % (32104)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (32104)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (32104)Memory used [KB]: 1001
% 0.63/0.78 % (32104)Time elapsed: 0.003 s
% 0.63/0.78 % (32104)Instructions burned: 4 (million)
% 0.63/0.78 % (32104)------------------------------
% 0.63/0.78 % (32104)------------------------------
% 0.63/0.78 % (32090)Refutation not found, incomplete strategy% (32090)------------------------------
% 0.63/0.78 % (32090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (32107)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.63/0.78 % (32090)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (32090)Memory used [KB]: 1286
% 0.63/0.78 % (32090)Time elapsed: 0.017 s
% 0.63/0.78 % (32090)Instructions burned: 28 (million)
% 0.63/0.78 % (32090)------------------------------
% 0.63/0.78 % (32090)------------------------------
% 0.63/0.78 % (32105)Refutation not found, incomplete strategy% (32105)------------------------------
% 0.63/0.78 % (32105)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (32105)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (32105)Memory used [KB]: 1071
% 0.63/0.78 % (32105)Time elapsed: 0.006 s
% 0.63/0.78 % (32105)Instructions burned: 6 (million)
% 0.63/0.78 % (32105)------------------------------
% 0.63/0.78 % (32105)------------------------------
% 0.63/0.78 % (32074)First to succeed.
% 0.63/0.78 % (32109)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.63/0.78 % (32111)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.63/0.78 % (32074)Refutation found. Thanks to Tanya!
% 0.63/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.63/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.79 % (32074)------------------------------
% 0.63/0.79 % (32074)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (32074)Termination reason: Refutation
% 0.63/0.79
% 0.63/0.79 % (32074)Memory used [KB]: 1490
% 0.63/0.79 % (32074)Time elapsed: 0.030 s
% 0.63/0.79 % (32074)Instructions burned: 54 (million)
% 0.63/0.79 % (32074)------------------------------
% 0.63/0.79 % (32074)------------------------------
% 0.63/0.79 % (31928)Success in time 0.407 s
% 0.63/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------