TSTP Solution File: GRP209-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP209-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 02:28:06 EDT 2024
% Result : Unsatisfiable 0.71s 0.77s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 50
% Syntax : Number of formulae : 218 ( 4 unt; 0 def)
% Number of atoms : 728 ( 265 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1003 ( 493 ~; 488 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1606,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f63,f68,f73,f93,f94,f95,f96,f104,f105,f106,f107,f115,f116,f117,f118,f126,f127,f128,f129,f137,f138,f139,f140,f159,f176,f200,f206,f218,f229,f242,f243,f268,f300,f366,f421,f431,f475,f1064,f1357,f1452,f1456,f1460,f1467,f1484,f1516,f1571,f1605]) ).
fof(f1605,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1604,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1600]) ).
fof(f1600,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29
| ~ spl0_32 ),
inference(superposition,[],[f1593,f1477]) ).
fof(f1477,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f53,f1475]) ).
fof(f1475,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1473,f484]) ).
fof(f484,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f103,f227]) ).
fof(f227,plain,
( sk_c10 = sk_c9
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_29
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f103,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_10
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1473,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f443,f53]) ).
fof(f443,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f442,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',left_identity) ).
fof(f442,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f418]) ).
fof(f418,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f92]) ).
fof(f92,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_9
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',associativity) ).
fof(f53,plain,
( multiply(sk_c1,sk_c2) = sk_c10
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_1
<=> multiply(sk_c1,sk_c2) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1593,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1592,f1521]) ).
fof(f1521,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29
| ~ spl0_32 ),
inference(superposition,[],[f1497,f1479]) ).
fof(f1479,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f418,f1475]) ).
fof(f1497,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1496,f1]) ).
fof(f1496,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(identity,X0))
| ~ spl0_32 ),
inference(superposition,[],[f3,f1489]) ).
fof(f1489,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_32 ),
inference(superposition,[],[f2,f266]) ).
fof(f266,plain,
( sk_c10 = inverse(identity)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl0_32
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1592,plain,
( sk_c10 != multiply(identity,sk_c10)
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1591]) ).
fof(f1591,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(identity,sk_c10)
| ~ spl0_18
| ~ spl0_28
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1585,f223]) ).
fof(f223,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl0_28
<=> sk_c10 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1585,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| ~ spl0_18
| ~ spl0_29
| ~ spl0_32 ),
inference(superposition,[],[f1518,f266]) ).
fof(f1518,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c10)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1517,f227]) ).
fof(f1517,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) )
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_demodulation,[],[f158,f227]) ).
fof(f158,plain,
( ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_18
<=> ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1571,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1570,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1566]) ).
fof(f1566,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29
| ~ spl0_32 ),
inference(superposition,[],[f1550,f1477]) ).
fof(f1550,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29
| ~ spl0_32 ),
inference(superposition,[],[f1464,f1532]) ).
fof(f1532,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1522,f1521]) ).
fof(f1522,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_29
| ~ spl0_32 ),
inference(superposition,[],[f1497,f1391]) ).
fof(f1391,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl0_5
| ~ spl0_29 ),
inference(superposition,[],[f2,f1387]) ).
fof(f1387,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_29 ),
inference(forward_demodulation,[],[f72,f227]) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_5
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1464,plain,
( sk_c10 != multiply(sk_c6,sk_c10)
| spl0_4
| ~ spl0_29 ),
inference(forward_demodulation,[],[f66,f227]) ).
fof(f66,plain,
( sk_c10 != multiply(sk_c6,sk_c9)
| spl0_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_4
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1516,plain,
( ~ spl0_32
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1508,f226,f151,f265]) ).
fof(f151,plain,
( spl0_16
<=> ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1508,plain,
( sk_c10 != inverse(identity)
| ~ spl0_16
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1505]) ).
fof(f1505,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(identity)
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f1488,f1]) ).
fof(f1488,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f152,f227]) ).
fof(f152,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f1484,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1481,f226,f101,f90,f51,f222]) ).
fof(f1481,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f484,f1475]) ).
fof(f1467,plain,
( ~ spl0_28
| spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1466,f226,f215,f222]) ).
fof(f215,plain,
( spl0_27
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1466,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f217,f227]) ).
fof(f217,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_27 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f1460,plain,
( ~ spl0_19
| spl0_26
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1459,f226,f211,f164]) ).
fof(f164,plain,
( spl0_19
<=> sk_c10 = multiply(sk_c5,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f211,plain,
( spl0_26
<=> sk_c9 = multiply(sk_c5,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1459,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f213,f227]) ).
fof(f213,plain,
( sk_c9 != multiply(sk_c5,sk_c10)
| spl0_26 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f1456,plain,
( ~ spl0_2
| ~ spl0_2
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1434,f226,f148,f55,f55]) ).
fof(f55,plain,
( spl0_2
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f148,plain,
( spl0_15
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1434,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1433]) ).
fof(f1433,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f1385,f295]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f286,f1]) ).
fof(f286,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f248]) ).
fof(f248,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f1385,plain,
( ! [X6] :
( sk_c10 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f149,f227]) ).
fof(f149,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f1452,plain,
( ~ spl0_28
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1451,f226,f148,f70,f65,f222]) ).
fof(f1451,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1450]) ).
fof(f1450,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1425,f1387]) ).
fof(f1425,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f1385,f1388]) ).
fof(f1388,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_4
| ~ spl0_29 ),
inference(forward_demodulation,[],[f67,f227]) ).
fof(f67,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f1357,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
fof(f1356,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29
| spl0_32 ),
inference(trivial_inequality_removal,[],[f1355]) ).
fof(f1355,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29
| spl0_32 ),
inference(superposition,[],[f1354,f529]) ).
fof(f529,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f484,f457]) ).
fof(f457,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f443,f53]) ).
fof(f1354,plain,
( sk_c2 != sk_c10
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29
| spl0_32 ),
inference(superposition,[],[f1327,f92]) ).
fof(f1327,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29
| spl0_32 ),
inference(superposition,[],[f267,f1296]) ).
fof(f1296,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f1274,f535]) ).
fof(f535,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f418,f529]) ).
fof(f1274,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1273,f536]) ).
fof(f536,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_29 ),
inference(superposition,[],[f443,f529]) ).
fof(f1273,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1260,f227]) ).
fof(f1260,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f302,f536]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_27 ),
inference(superposition,[],[f3,f216]) ).
fof(f216,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f267,plain,
( sk_c10 != inverse(identity)
| spl0_32 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f1064,plain,
( ~ spl0_32
| ~ spl0_17
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1040,f226,f154,f265]) ).
fof(f154,plain,
( spl0_17
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1040,plain,
( sk_c10 != inverse(identity)
| ~ spl0_17
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1029]) ).
fof(f1029,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(identity)
| ~ spl0_17
| ~ spl0_29 ),
inference(superposition,[],[f936,f1]) ).
fof(f936,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c10)
| sk_c10 != inverse(X8) )
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_demodulation,[],[f935,f227]) ).
fof(f935,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c10)
| sk_c9 != inverse(X8) )
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_demodulation,[],[f155,f227]) ).
fof(f155,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f475,plain,
( spl0_29
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f471,f134,f123,f112,f226]) ).
fof(f112,plain,
( spl0_11
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f123,plain,
( spl0_12
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f134,plain,
( spl0_13
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f471,plain,
( sk_c10 = sk_c9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f114,f466]) ).
fof(f466,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f446,f125]) ).
fof(f125,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f445,f1]) ).
fof(f445,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f422]) ).
fof(f422,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f114,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f431,plain,
( spl0_28
| ~ spl0_2
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f429,f164,f55,f222]) ).
fof(f429,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_19 ),
inference(superposition,[],[f295,f165]) ).
fof(f165,plain,
( sk_c10 = multiply(sk_c5,sk_c10)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f421,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f420,f145,f101,f90,f51]) ).
fof(f145,plain,
( spl0_14
<=> ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f420,plain,
( multiply(sk_c1,sk_c2) != sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f419,plain,
( sk_c10 != sk_c10
| multiply(sk_c1,sk_c2) != sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f417,f103]) ).
fof(f417,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| multiply(sk_c1,sk_c2) != sk_c10
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f146,f92]) ).
fof(f146,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f366,plain,
( spl0_29
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f365,f215,f70,f65,f60,f226]) ).
fof(f60,plain,
( spl0_3
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f365,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_27 ),
inference(forward_demodulation,[],[f364,f62]) ).
fof(f62,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f364,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_27 ),
inference(forward_demodulation,[],[f356,f216]) ).
fof(f356,plain,
( multiply(sk_c5,sk_c9) = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f287,f303]) ).
fof(f303,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f296,f67]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f289,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f249]) ).
fof(f249,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f2,f72]) ).
fof(f287,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(sk_c9,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f62]) ).
fof(f300,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f298,f60,f55,f215]) ).
fof(f298,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f295,f62]) ).
fof(f268,plain,
( ~ spl0_32
| ~ spl0_27
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f262,f148,f215,f265]) ).
fof(f262,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(identity)
| ~ spl0_15 ),
inference(superposition,[],[f149,f1]) ).
fof(f243,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f241,f226,f60,f164]) ).
fof(f241,plain,
( sk_c10 = multiply(sk_c5,sk_c10)
| ~ spl0_3
| ~ spl0_29 ),
inference(superposition,[],[f62,f227]) ).
fof(f242,plain,
( ~ spl0_28
| spl0_21
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f239,f226,f173,f222]) ).
fof(f173,plain,
( spl0_21
<=> sk_c10 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f239,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| spl0_21
| ~ spl0_29 ),
inference(superposition,[],[f175,f227]) ).
fof(f175,plain,
( sk_c10 != multiply(sk_c9,sk_c9)
| spl0_21 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f229,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f220,f157,f70,f65,f226,f222]) ).
fof(f220,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(inner_rewriting,[],[f219]) ).
fof(f219,plain,
( sk_c10 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f208,f67]) ).
fof(f208,plain,
( sk_c9 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f158,f72]) ).
fof(f218,plain,
( ~ spl0_26
| ~ spl0_27
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f207,f157,f55,f215,f211]) ).
fof(f207,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c5,sk_c10)
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f158,f57]) ).
fof(f206,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f203,f154,f65,f70]) ).
fof(f203,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f202]) ).
fof(f202,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f155,f67]) ).
fof(f200,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f199,f151,f60,f55]) ).
fof(f199,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f196]) ).
fof(f196,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f152,f62]) ).
fof(f176,plain,
( ~ spl0_4
| ~ spl0_21
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f161,f145,f70,f173,f65]) ).
fof(f161,plain,
( sk_c10 != multiply(sk_c9,sk_c9)
| sk_c10 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f146,f72]) ).
fof(f159,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f49,f157,f154,f151,f148,f145]) ).
fof(f49,plain,
! [X3,X8,X6,X9,X7] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) ),
inference(equality_resolution,[],[f48]) ).
fof(f48,plain,
! [X3,X8,X6,X9,X7,X4] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X10,sk_c10)
| inverse(X9) != X10
| sk_c9 != multiply(X9,X10)
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_43) ).
fof(f140,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f70,f134]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_39) ).
fof(f139,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f65,f134]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_38) ).
fof(f138,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f60,f134]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_37) ).
fof(f137,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f55,f134]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_36) ).
fof(f129,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f70,f123]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_32) ).
fof(f128,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f65,f123]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_31) ).
fof(f127,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f60,f123]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_30) ).
fof(f126,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f55,f123]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_29) ).
fof(f118,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f70,f112]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_25) ).
fof(f117,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f65,f112]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_24) ).
fof(f116,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f60,f112]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_23) ).
fof(f115,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f55,f112]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_22) ).
fof(f107,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f70,f101]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_18) ).
fof(f106,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f65,f101]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_17) ).
fof(f105,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f60,f101]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_16) ).
fof(f104,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f55,f101]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_15) ).
fof(f96,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f70,f90]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_11) ).
fof(f95,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f65,f90]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_10) ).
fof(f94,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f60,f90]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_9) ).
fof(f93,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f55,f90]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_8) ).
fof(f73,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f70,f51]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_4) ).
fof(f68,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f65,f51]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_3) ).
fof(f63,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f60,f51]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_2) ).
fof(f58,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f55,f51]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c5)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP209-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n024.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 18:25:51 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.sKRCQWCJdD/Vampire---4.8_2481
% 0.53/0.73 % (2697)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)
% 0.53/0.73 % (2690)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)
% 0.53/0.73 % (2693)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)
% 0.53/0.73 % (2691)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)
% 0.53/0.73 % (2692)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73 % (2694)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)
% 0.53/0.73 % (2695)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)
% 0.53/0.73 % (2697)Refutation not found, incomplete strategy% (2697)------------------------------
% 0.53/0.73 % (2697)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.73 % (2697)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73
% 0.53/0.73 % (2697)Memory used [KB]: 994
% 0.53/0.73 % (2697)Time elapsed: 0.002 s
% 0.53/0.73 % (2697)Instructions burned: 4 (million)
% 0.53/0.73 % (2697)------------------------------
% 0.53/0.73 % (2697)------------------------------
% 0.53/0.73 % (2696)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)
% 0.53/0.74 % (2690)Refutation not found, incomplete strategy% (2690)------------------------------
% 0.53/0.74 % (2690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (2690)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74 % (2693)Refutation not found, incomplete strategy% (2693)------------------------------
% 0.53/0.74 % (2693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74
% 0.53/0.74 % (2690)Memory used [KB]: 1009
% 0.53/0.74 % (2690)Time elapsed: 0.004 s
% 0.53/0.74 % (2690)Instructions burned: 5 (million)
% 0.53/0.74 % (2690)------------------------------
% 0.53/0.74 % (2690)------------------------------
% 0.53/0.74 % (2693)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (2693)Memory used [KB]: 991
% 0.53/0.74 % (2693)Time elapsed: 0.004 s
% 0.53/0.74 % (2693)Instructions burned: 4 (million)
% 0.53/0.74 % (2693)------------------------------
% 0.53/0.74 % (2693)------------------------------
% 0.53/0.74 % (2694)Refutation not found, incomplete strategy% (2694)------------------------------
% 0.53/0.74 % (2694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (2694)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (2694)Memory used [KB]: 1090
% 0.53/0.74 % (2694)Time elapsed: 0.004 s
% 0.53/0.74 % (2694)Instructions burned: 5 (million)
% 0.53/0.74 % (2694)------------------------------
% 0.53/0.74 % (2694)------------------------------
% 0.53/0.74 % (2701)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)
% 0.53/0.74 % (2695)Refutation not found, incomplete strategy% (2695)------------------------------
% 0.53/0.74 % (2695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (2695)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (2695)Memory used [KB]: 1068
% 0.53/0.74 % (2695)Time elapsed: 0.005 s
% 0.53/0.74 % (2692)Refutation not found, incomplete strategy% (2692)------------------------------
% 0.53/0.74 % (2692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (2695)Instructions burned: 6 (million)
% 0.53/0.74 % (2695)------------------------------
% 0.53/0.74 % (2695)------------------------------
% 0.53/0.74 % (2692)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (2692)Memory used [KB]: 1069
% 0.53/0.74 % (2692)Time elapsed: 0.005 s
% 0.53/0.74 % (2692)Instructions burned: 7 (million)
% 0.53/0.74 % (2692)------------------------------
% 0.53/0.74 % (2692)------------------------------
% 0.53/0.74 % (2703)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)
% 0.53/0.74 % (2704)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)
% 0.53/0.74 % (2705)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)
% 0.53/0.74 % (2707)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)
% 0.53/0.74 % (2708)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)
% 0.53/0.74 % (2703)Refutation not found, incomplete strategy% (2703)------------------------------
% 0.53/0.74 % (2703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (2703)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.75 % (2703)Memory used [KB]: 1000
% 0.53/0.75 % (2703)Time elapsed: 0.005 s
% 0.53/0.75 % (2703)Instructions burned: 7 (million)
% 0.53/0.75 % (2703)------------------------------
% 0.53/0.75 % (2703)------------------------------
% 0.53/0.75 % (2708)Refutation not found, incomplete strategy% (2708)------------------------------
% 0.53/0.75 % (2708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2708)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (2708)Memory used [KB]: 1030
% 0.53/0.75 % (2708)Time elapsed: 0.004 s
% 0.53/0.75 % (2708)Instructions burned: 4 (million)
% 0.53/0.75 % (2708)------------------------------
% 0.53/0.75 % (2708)------------------------------
% 0.53/0.75 % (2705)Refutation not found, incomplete strategy% (2705)------------------------------
% 0.53/0.75 % (2705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2705)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (2705)Memory used [KB]: 1070
% 0.53/0.75 % (2705)Time elapsed: 0.006 s
% 0.53/0.75 % (2705)Instructions burned: 7 (million)
% 0.53/0.75 % (2705)------------------------------
% 0.53/0.75 % (2705)------------------------------
% 0.53/0.75 % (2707)Refutation not found, incomplete strategy% (2707)------------------------------
% 0.53/0.75 % (2707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2707)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (2707)Memory used [KB]: 1066
% 0.53/0.75 % (2707)Time elapsed: 0.006 s
% 0.53/0.75 % (2707)Instructions burned: 7 (million)
% 0.53/0.75 % (2707)------------------------------
% 0.53/0.75 % (2707)------------------------------
% 0.53/0.75 % (2704)Refutation not found, incomplete strategy% (2704)------------------------------
% 0.53/0.75 % (2704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2704)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (2704)Memory used [KB]: 1113
% 0.53/0.75 % (2704)Time elapsed: 0.008 s
% 0.53/0.75 % (2704)Instructions burned: 11 (million)
% 0.53/0.75 % (2704)------------------------------
% 0.53/0.75 % (2704)------------------------------
% 0.53/0.75 % (2711)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)
% 0.53/0.75 % (2712)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)
% 0.53/0.75 % (2713)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)
% 0.53/0.75 % (2715)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)
% 0.53/0.75 % (2716)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)
% 0.53/0.75 % (2712)Refutation not found, incomplete strategy% (2712)------------------------------
% 0.53/0.75 % (2712)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2712)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (2712)Memory used [KB]: 1011
% 0.53/0.75 % (2712)Time elapsed: 0.004 s
% 0.53/0.75 % (2712)Instructions burned: 4 (million)
% 0.53/0.75 % (2712)------------------------------
% 0.53/0.75 % (2712)------------------------------
% 0.53/0.75 % (2713)Refutation not found, incomplete strategy% (2713)------------------------------
% 0.53/0.75 % (2713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2713)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (2713)Memory used [KB]: 1075
% 0.53/0.75 % (2713)Time elapsed: 0.005 s
% 0.53/0.75 % (2713)Instructions burned: 4 (million)
% 0.53/0.75 % (2713)------------------------------
% 0.53/0.75 % (2713)------------------------------
% 0.53/0.75 % (2716)Refutation not found, incomplete strategy% (2716)------------------------------
% 0.53/0.75 % (2716)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2716)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (2716)Memory used [KB]: 1089
% 0.53/0.75 % (2716)Time elapsed: 0.003 s
% 0.53/0.75 % (2716)Instructions burned: 4 (million)
% 0.53/0.75 % (2716)------------------------------
% 0.53/0.75 % (2716)------------------------------
% 0.53/0.75 % (2701)Instruction limit reached!
% 0.53/0.75 % (2701)------------------------------
% 0.53/0.75 % (2701)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (2701)Termination reason: Unknown
% 0.53/0.75 % (2701)Termination phase: Saturation
% 0.53/0.75
% 0.53/0.75 % (2701)Memory used [KB]: 1761
% 0.53/0.75 % (2701)Time elapsed: 0.018 s
% 0.53/0.75 % (2701)Instructions burned: 57 (million)
% 0.53/0.75 % (2701)------------------------------
% 0.53/0.75 % (2701)------------------------------
% 0.53/0.76 % (2718)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)
% 0.53/0.76 % (2721)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)
% 0.69/0.76 % (2719)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)
% 0.69/0.76 % (2721)Refutation not found, incomplete strategy% (2721)------------------------------
% 0.69/0.76 % (2721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.76 % (2721)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.76
% 0.69/0.76 % (2721)Memory used [KB]: 1099
% 0.69/0.76 % (2721)Time elapsed: 0.002 s
% 0.69/0.76 % (2721)Instructions burned: 6 (million)
% 0.69/0.76 % (2721)------------------------------
% 0.69/0.76 % (2721)------------------------------
% 0.69/0.76 % (2722)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)
% 0.69/0.76 % (2718)Refutation not found, incomplete strategy% (2718)------------------------------
% 0.69/0.76 % (2718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.76 % (2718)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.76
% 0.69/0.76 % (2718)Memory used [KB]: 1077
% 0.69/0.76 % (2718)Time elapsed: 0.005 s
% 0.69/0.76 % (2718)Instructions burned: 7 (million)
% 0.69/0.76 % (2718)------------------------------
% 0.69/0.76 % (2718)------------------------------
% 0.69/0.76 % (2719)Refutation not found, incomplete strategy% (2719)------------------------------
% 0.69/0.76 % (2719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.76 % (2719)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.76
% 0.69/0.76 % (2719)Memory used [KB]: 1070
% 0.69/0.76 % (2719)Time elapsed: 0.006 s
% 0.69/0.76 % (2719)Instructions burned: 7 (million)
% 0.69/0.76 % (2719)------------------------------
% 0.69/0.76 % (2719)------------------------------
% 0.69/0.76 % (2691)First to succeed.
% 0.69/0.76 % (2723)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)
% 0.69/0.76 % (2723)Refutation not found, incomplete strategy% (2723)------------------------------
% 0.69/0.76 % (2723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.76 % (2723)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.76
% 0.71/0.76 % (2723)Memory used [KB]: 1081
% 0.71/0.76 % (2723)Time elapsed: 0.002 s
% 0.71/0.76 % (2723)Instructions burned: 4 (million)
% 0.71/0.76 % (2723)------------------------------
% 0.71/0.76 % (2723)------------------------------
% 0.71/0.77 % (2691)Refutation found. Thanks to Tanya!
% 0.71/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.71/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.77 % (2691)------------------------------
% 0.71/0.77 % (2691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.77 % (2691)Termination reason: Refutation
% 0.71/0.77
% 0.71/0.77 % (2691)Memory used [KB]: 1481
% 0.71/0.77 % (2691)Time elapsed: 0.031 s
% 0.71/0.77 % (2691)Instructions burned: 51 (million)
% 0.71/0.77 % (2691)------------------------------
% 0.71/0.77 % (2691)------------------------------
% 0.71/0.77 % (2623)Success in time 0.403 s
% 0.71/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------