TSTP Solution File: GRP307-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP307-1 : 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:47:18 EDT 2024
% Result : Unsatisfiable 1.01s 0.91s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 107
% Syntax : Number of formulae : 449 ( 36 unt; 0 def)
% Number of atoms : 1720 ( 441 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2328 (1057 ~;1246 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 26 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 28 con; 0-2 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1746,plain,
$false,
inference(avatar_sat_refutation,[],[f171,f181,f191,f196,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f230,f231,f232,f233,f234,f235,f236,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f306,f487,f488,f529,f533,f547,f568,f782,f883,f1207,f1376,f1410,f1442,f1493,f1513,f1616,f1667,f1745]) ).
fof(f1745,plain,
( ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_23 ),
inference(avatar_contradiction_clause,[],[f1744]) ).
fof(f1744,plain,
( $false
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1743,f1579]) ).
fof(f1579,plain,
( inverse(sk_c7) = sk_c6
| ~ spl27_9 ),
inference(backward_demodulation,[],[f95,f200]) ).
fof(f200,plain,
( sk_c6 = sF19
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl27_9
<=> sk_c6 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).
fof(f95,plain,
inverse(sk_c7) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f1743,plain,
( inverse(sk_c7) != sk_c6
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1731,f1621]) ).
fof(f1621,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl27_10 ),
inference(backward_demodulation,[],[f97,f205]) ).
fof(f205,plain,
( sk_c8 = sF20
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl27_10
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f97,plain,
inverse(sk_c6) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1731,plain,
( sk_c8 != inverse(sk_c6)
| inverse(sk_c7) != sk_c6
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11
| ~ spl27_23 ),
inference(superposition,[],[f1709,f1623]) ).
fof(f1623,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl27_11 ),
inference(forward_demodulation,[],[f99,f210]) ).
fof(f210,plain,
( sk_c6 = sF21
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl27_11
<=> sk_c6 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
fof(f99,plain,
multiply(sk_c7,sk_c8) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f1709,plain,
( ! [X0] :
( sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1708,f66]) ).
fof(f66,plain,
~ sP1(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1708,plain,
( ! [X0] :
( sP1(sk_c11)
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1707,f312]) ).
fof(f312,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl27_6 ),
inference(backward_demodulation,[],[f89,f185]) ).
fof(f185,plain,
( sk_c11 = sF16
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl27_6
<=> sk_c11 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f89,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1707,plain,
( ! [X0] :
( sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1706,f65]) ).
fof(f65,plain,
~ sP0(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1706,plain,
( ! [X0] :
( sP0(sk_c11)
| sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1675,f310]) ).
fof(f310,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl27_8 ),
inference(backward_demodulation,[],[f93,f195]) ).
fof(f195,plain,
( sk_c11 = sF18
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl27_8
<=> sk_c11 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).
fof(f93,plain,
multiply(sk_c8,sk_c10) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1675,plain,
( ! [X0] :
( sP0(multiply(sk_c8,sk_c10))
| sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl27_7
| ~ spl27_23 ),
inference(superposition,[],[f305,f1620]) ).
fof(f1620,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl27_7 ),
inference(backward_demodulation,[],[f91,f190]) ).
fof(f190,plain,
( sk_c8 = sF17
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl27_7
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
fof(f91,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f305,plain,
( ! [X9,X7] :
( sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl27_23
<=> ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sP1(multiply(X7,inverse(X7)))
| sP0(multiply(inverse(X7),sk_c10))
| inverse(X9) != multiply(X9,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).
fof(f1667,plain,
( ~ spl27_4
| ~ spl27_5
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f1666]) ).
fof(f1666,plain,
( $false
| ~ spl27_4
| ~ spl27_5
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f1665,f67]) ).
fof(f67,plain,
~ sP2(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1665,plain,
( sP2(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_22 ),
inference(forward_demodulation,[],[f1664,f313]) ).
fof(f313,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl27_5 ),
inference(backward_demodulation,[],[f87,f180]) ).
fof(f180,plain,
( sk_c10 = sF15
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl27_5
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f87,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1664,plain,
( sP2(inverse(sk_c4))
| ~ spl27_4
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f1653,f68]) ).
fof(f68,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1653,plain,
( sP3(sk_c9)
| sP2(inverse(sk_c4))
| ~ spl27_4
| ~ spl27_22 ),
inference(superposition,[],[f302,f1625]) ).
fof(f1625,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl27_4 ),
inference(backward_demodulation,[],[f85,f175]) ).
fof(f175,plain,
( sk_c9 = sF14
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl27_4
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f85,plain,
multiply(sk_c4,sk_c10) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f302,plain,
( ! [X6] :
( sP3(multiply(X6,sk_c10))
| sP2(inverse(X6)) )
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl27_22
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f1616,plain,
( spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1615,plain,
( $false
| spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(subsumption_resolution,[],[f1614,f1520]) ).
fof(f1520,plain,
( sk_c11 = sk_c9
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f675,f1417]) ).
fof(f1417,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f618,f1416]) ).
fof(f1416,plain,
( sk_c11 = sk_c1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f1073,f1078]) ).
fof(f1078,plain,
( identity = sk_c11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f733,f1062]) ).
fof(f1062,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f808,f1059]) ).
fof(f1059,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1057,f808]) ).
fof(f1057,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c9,multiply(sk_c11,X0))
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f875,f1055]) ).
fof(f1055,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,X0)
| ~ spl27_12
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1054,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',left_identity) ).
fof(f1054,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl27_12
| ~ spl27_16 ),
inference(superposition,[],[f3,f845]) ).
fof(f845,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl27_12
| ~ spl27_16 ),
inference(superposition,[],[f808,f734]) ).
fof(f734,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl27_16 ),
inference(forward_demodulation,[],[f323,f271]) ).
fof(f271,plain,
( sk_c11 = sF26
| ~ spl27_16 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl27_16
<=> sk_c11 = sF26 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f323,plain,
identity = multiply(sF26,sk_c1),
inference(superposition,[],[f2,f145]) ).
fof(f145,plain,
inverse(sk_c1) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',associativity) ).
fof(f875,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f741,f874]) ).
fof(f874,plain,
( sk_c11 = sk_c2
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(forward_demodulation,[],[f844,f714]) ).
fof(f714,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl27_13 ),
inference(forward_demodulation,[],[f112,f229]) ).
fof(f229,plain,
( sk_c11 = sF23
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl27_13
<=> sk_c11 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f112,plain,
multiply(sk_c9,sk_c10) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f844,plain,
( multiply(sk_c9,sk_c10) = sk_c2
| ~ spl27_12
| ~ spl27_14 ),
inference(superposition,[],[f808,f739]) ).
fof(f739,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| ~ spl27_14 ),
inference(forward_demodulation,[],[f123,f243]) ).
fof(f243,plain,
( sk_c10 = sF24
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl27_14
<=> sk_c10 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f123,plain,
multiply(sk_c11,sk_c2) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f741,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl27_15 ),
inference(forward_demodulation,[],[f337,f257]) ).
fof(f257,plain,
( sk_c2 = sF25
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl27_15
<=> sk_c2 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f337,plain,
! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sF25,X0),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
multiply(sk_c1,sk_c11) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f808,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c11,X0)) = X0
| ~ spl27_12 ),
inference(forward_demodulation,[],[f807,f1]) ).
fof(f807,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c11,X0))
| ~ spl27_12 ),
inference(superposition,[],[f3,f733]) ).
fof(f733,plain,
( identity = multiply(sk_c9,sk_c11)
| ~ spl27_12 ),
inference(forward_demodulation,[],[f317,f215]) ).
fof(f215,plain,
( sk_c9 = sF22
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl27_12
<=> sk_c9 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f317,plain,
identity = multiply(sF22,sk_c11),
inference(superposition,[],[f2,f101]) ).
fof(f101,plain,
inverse(sk_c11) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f1073,plain,
( identity = sk_c1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f734,f1059]) ).
fof(f618,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl27_16 ),
inference(backward_demodulation,[],[f145,f271]) ).
fof(f675,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl27_12 ),
inference(backward_demodulation,[],[f101,f215]) ).
fof(f1614,plain,
( sk_c11 != sk_c9
| spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f160,f1569]) ).
fof(f1569,plain,
( sk_c11 = sF12
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1568,f1070]) ).
fof(f1070,plain,
( sk_c11 = sk_c10
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f877,f1059]) ).
fof(f877,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14 ),
inference(backward_demodulation,[],[f739,f874]) ).
fof(f1568,plain,
( sk_c10 = sF12
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f81,f1059]) ).
fof(f81,plain,
multiply(sk_c11,sk_c10) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f160,plain,
( sk_c9 != sF12
| spl27_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl27_1
<=> sk_c9 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f1513,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(avatar_contradiction_clause,[],[f1512]) ).
fof(f1512,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f1511,f1176]) ).
fof(f1176,plain,
( ~ sP7(sk_c11)
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f72,f1070]) ).
fof(f72,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1511,plain,
( sP7(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(forward_demodulation,[],[f1510,f1059]) ).
fof(f1510,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f1507,f71]) ).
fof(f71,plain,
~ sP6(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1507,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c11,sk_c11))
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(superposition,[],[f1506,f1413]) ).
fof(f1413,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f675,f1180]) ).
fof(f1180,plain,
( sk_c11 = sk_c9
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f1071,f1070]) ).
fof(f1071,plain,
( sk_c10 = sk_c9
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f742,f1059]) ).
fof(f742,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| ~ spl27_1 ),
inference(forward_demodulation,[],[f81,f161]) ).
fof(f161,plain,
( sk_c9 = sF12
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f1506,plain,
( ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(X4,sk_c11)) )
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(forward_demodulation,[],[f296,f1059]) ).
fof(f296,plain,
( ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(sk_c11,multiply(X4,sk_c11))) )
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl27_20
<=> ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(sk_c11,multiply(X4,sk_c11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f1493,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1487,f1413]) ).
fof(f1487,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(duplicate_literal_removal,[],[f1481]) ).
fof(f1481,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != inverse(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(superposition,[],[f1465,f1059]) ).
fof(f1465,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1464,f66]) ).
fof(f1464,plain,
( ! [X0] :
( sP1(sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1463,f1059]) ).
fof(f1463,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| sP1(multiply(sk_c11,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1462,f65]) ).
fof(f1462,plain,
( ! [X0] :
( sP0(sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| sP1(multiply(sk_c11,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1458,f1059]) ).
fof(f1458,plain,
( ! [X0] :
( sP0(multiply(sk_c11,sk_c11))
| sk_c11 != inverse(multiply(X0,sk_c11))
| sP1(multiply(sk_c11,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(superposition,[],[f1446,f1413]) ).
fof(f1446,plain,
( ! [X9,X7] :
( sP0(multiply(inverse(X7),sk_c11))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sP1(multiply(X7,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_23 ),
inference(forward_demodulation,[],[f305,f1070]) ).
fof(f1442,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1441,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f1440,f1213]) ).
fof(f1213,plain,
( ~ sP3(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f68,f1180]) ).
fof(f1440,plain,
( sP3(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_22 ),
inference(forward_demodulation,[],[f1439,f1059]) ).
fof(f1439,plain,
( sP3(multiply(sk_c11,sk_c11))
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f1436,f1174]) ).
fof(f1174,plain,
( ~ sP2(sk_c11)
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f67,f1070]) ).
fof(f1436,plain,
( sP2(sk_c11)
| sP3(multiply(sk_c11,sk_c11))
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_22 ),
inference(superposition,[],[f1427,f1413]) ).
fof(f1427,plain,
( ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c11)) )
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_22 ),
inference(forward_demodulation,[],[f302,f1070]) ).
fof(f1410,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1409,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f1408,f1212]) ).
fof(f1212,plain,
( ~ sP9(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f74,f1180]) ).
fof(f74,plain,
~ sP9(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1408,plain,
( sP9(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_18 ),
inference(forward_demodulation,[],[f289,f1210]) ).
fof(f1210,plain,
( sk_c11 = sF22
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f215,f1180]) ).
fof(f289,plain,
( sP9(sF22)
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl27_18
<=> sP9(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
fof(f1376,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1375,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17 ),
inference(subsumption_resolution,[],[f1374,f1373]) ).
fof(f1373,plain,
( ~ sP10(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f744,f1180]) ).
fof(f744,plain,
( ~ sP10(sk_c9)
| ~ spl27_1 ),
inference(forward_demodulation,[],[f156,f161]) ).
fof(f156,plain,
~ sP10(sF12),
inference(definition_folding,[],[f75,f81]) ).
fof(f75,plain,
~ sP10(multiply(sk_c11,sk_c10)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1374,plain,
( sP10(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17 ),
inference(forward_demodulation,[],[f285,f1180]) ).
fof(f285,plain,
( sP10(sk_c9)
| ~ spl27_17 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl27_17
<=> sP10(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f1207,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_33 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1206,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_33 ),
inference(subsumption_resolution,[],[f1205,f69]) ).
fof(f69,plain,
~ sP4(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1205,plain,
( sP4(sk_c11)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_33 ),
inference(forward_demodulation,[],[f781,f1180]) ).
fof(f781,plain,
( sP4(sk_c9)
| ~ spl27_33 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f779,plain,
( spl27_33
<=> sP4(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).
fof(f883,plain,
( ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_32 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f882,plain,
( $false
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_32 ),
inference(subsumption_resolution,[],[f881,f70]) ).
fof(f70,plain,
~ sP5(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f881,plain,
( sP5(sk_c10)
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_32 ),
inference(backward_demodulation,[],[f777,f877]) ).
fof(f777,plain,
( sP5(multiply(sk_c11,sk_c11))
| ~ spl27_32 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f775,plain,
( spl27_32
<=> sP5(multiply(sk_c11,sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).
fof(f782,plain,
( spl27_32
| spl27_33
| ~ spl27_12
| ~ spl27_21 ),
inference(avatar_split_clause,[],[f773,f298,f213,f779,f775]) ).
fof(f298,plain,
( spl27_21
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f773,plain,
( sP4(sk_c9)
| sP5(multiply(sk_c11,sk_c11))
| ~ spl27_12
| ~ spl27_21 ),
inference(superposition,[],[f299,f675]) ).
fof(f299,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) )
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f568,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f566,f474]) ).
fof(f474,plain,
( ~ sP5(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f70,f472]) ).
fof(f472,plain,
( sk_c11 = sk_c10
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f470,f461]) ).
fof(f461,plain,
( sk_c10 = inverse(identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f313,f460]) ).
fof(f460,plain,
( identity = sk_c4
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f458,f455]) ).
fof(f455,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f444,f441]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f425,f422]) ).
fof(f422,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f414,f421]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f399,f414]) ).
fof(f399,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl27_6
| ~ spl27_7 ),
inference(superposition,[],[f334,f344]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl27_7 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f343,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl27_7 ),
inference(superposition,[],[f3,f320]) ).
fof(f320,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl27_7 ),
inference(superposition,[],[f2,f311]) ).
fof(f311,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl27_7 ),
inference(backward_demodulation,[],[f91,f190]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl27_6 ),
inference(superposition,[],[f3,f312]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f344,f401]) ).
fof(f401,plain,
( sk_c11 = sk_c8
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f398,f396]) ).
fof(f396,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl27_6
| ~ spl27_7 ),
inference(superposition,[],[f344,f312]) ).
fof(f398,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(superposition,[],[f344,f386]) ).
fof(f386,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_8 ),
inference(forward_demodulation,[],[f382,f354]) ).
fof(f354,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl27_2
| ~ spl27_3 ),
inference(backward_demodulation,[],[f81,f351]) ).
fof(f351,plain,
( sk_c11 = sF12
| ~ spl27_2
| ~ spl27_3 ),
inference(forward_demodulation,[],[f349,f81]) ).
fof(f349,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f341,f316]) ).
fof(f316,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl27_2 ),
inference(backward_demodulation,[],[f80,f165]) ).
fof(f165,plain,
( sk_c10 = sF11
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl27_2
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f80,plain,
multiply(sk_c3,sk_c11) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl27_3 ),
inference(forward_demodulation,[],[f329,f1]) ).
fof(f329,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl27_3 ),
inference(superposition,[],[f3,f318]) ).
fof(f318,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl27_3 ),
inference(superposition,[],[f2,f315]) ).
fof(f315,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl27_3 ),
inference(backward_demodulation,[],[f83,f170]) ).
fof(f170,plain,
( sk_c11 = sF13
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl27_3
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f83,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f382,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl27_6
| ~ spl27_8 ),
inference(superposition,[],[f334,f310]) ).
fof(f425,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f352,f422]) ).
fof(f352,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = multiply(sk_c11,X0)
| ~ spl27_2
| ~ spl27_3 ),
inference(backward_demodulation,[],[f327,f351]) ).
fof(f327,plain,
! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = multiply(sF12,X0),
inference(superposition,[],[f3,f81]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f373,f441]) ).
fof(f373,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f342,f333]) ).
fof(f333,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl27_4 ),
inference(superposition,[],[f3,f314]) ).
fof(f314,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl27_4 ),
inference(backward_demodulation,[],[f85,f175]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl27_5 ),
inference(forward_demodulation,[],[f330,f1]) ).
fof(f330,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl27_5 ),
inference(superposition,[],[f3,f319]) ).
fof(f319,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl27_5 ),
inference(superposition,[],[f2,f313]) ).
fof(f458,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f453,f455]) ).
fof(f453,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c9,identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f370,f442]) ).
fof(f442,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f333,f441]) ).
fof(f370,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c4,identity)
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f333,f319]) ).
fof(f470,plain,
( sk_c11 = inverse(identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f315,f469]) ).
fof(f469,plain,
( identity = sk_c3
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f446,f441]) ).
fof(f446,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f437,f441]) ).
fof(f437,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c10,identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f362,f423]) ).
fof(f423,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f332,f422]) ).
fof(f332,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c11,X0))
| ~ spl27_2 ),
inference(superposition,[],[f3,f316]) ).
fof(f362,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c3,identity)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f332,f318]) ).
fof(f566,plain,
( sP5(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(forward_demodulation,[],[f565,f422]) ).
fof(f565,plain,
( sP5(multiply(sk_c11,sk_c11))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f563,f69]) ).
fof(f563,plain,
( sP4(sk_c11)
| sP5(multiply(sk_c11,sk_c11))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(superposition,[],[f299,f514]) ).
fof(f514,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f480,f508]) ).
fof(f508,plain,
( identity = sk_c11
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(forward_demodulation,[],[f506,f422]) ).
fof(f506,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f317,f505]) ).
fof(f505,plain,
( sk_c11 = sF22
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(forward_demodulation,[],[f503,f101]) ).
fof(f503,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f405,f498]) ).
fof(f498,plain,
( sk_c11 = sk_c6
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f494,f429]) ).
fof(f429,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f415,f422]) ).
fof(f415,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f348,f401]) ).
fof(f348,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl27_10 ),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl27_10 ),
inference(superposition,[],[f3,f322]) ).
fof(f322,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl27_10 ),
inference(superposition,[],[f2,f308]) ).
fof(f308,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl27_10 ),
inference(backward_demodulation,[],[f97,f205]) ).
fof(f494,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f404,f426]) ).
fof(f426,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f413,f422]) ).
fof(f413,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c11,X0))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f336,f401]) ).
fof(f336,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl27_11 ),
inference(superposition,[],[f3,f307]) ).
fof(f307,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl27_11 ),
inference(backward_demodulation,[],[f99,f210]) ).
fof(f404,plain,
( sk_c6 = multiply(sk_c7,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f307,f401]) ).
fof(f405,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f308,f401]) ).
fof(f480,plain,
( sk_c11 = inverse(identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f461,f472]) ).
fof(f547,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f545,f475]) ).
fof(f475,plain,
( ~ sP7(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f72,f472]) ).
fof(f545,plain,
( sP7(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(forward_demodulation,[],[f544,f422]) ).
fof(f544,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f542,f71]) ).
fof(f542,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c11,sk_c11))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(superposition,[],[f535,f514]) ).
fof(f535,plain,
( ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(X4,sk_c11)) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(forward_demodulation,[],[f296,f422]) ).
fof(f533,plain,
( ~ spl27_13
| ~ spl27_19 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl27_13
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f531,f73]) ).
fof(f73,plain,
~ sP8(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f531,plain,
( sP8(sk_c11)
| ~ spl27_13
| ~ spl27_19 ),
inference(forward_demodulation,[],[f293,f229]) ).
fof(f293,plain,
( sP8(sF23)
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl27_19
<=> sP8(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
fof(f529,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f527,f482]) ).
fof(f482,plain,
( ~ sP9(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f464,f472]) ).
fof(f464,plain,
( ~ sP9(sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f74,f459]) ).
fof(f459,plain,
( sk_c10 = sk_c9
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f378,f455]) ).
fof(f378,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(backward_demodulation,[],[f112,f376]) ).
fof(f376,plain,
( sk_c9 = sF23
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f375,f314]) ).
fof(f375,plain,
( multiply(sk_c4,sk_c10) = sF23
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f372,f112]) ).
fof(f372,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(superposition,[],[f333,f366]) ).
fof(f366,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl27_2
| ~ spl27_3 ),
inference(forward_demodulation,[],[f361,f316]) ).
fof(f361,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f332,f354]) ).
fof(f527,plain,
( sP9(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(forward_demodulation,[],[f289,f505]) ).
fof(f488,plain,
( spl27_13
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(avatar_split_clause,[],[f485,f193,f188,f183,f178,f173,f168,f163,f227]) ).
fof(f485,plain,
( sk_c11 = sF23
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f467,f472]) ).
fof(f467,plain,
( sk_c10 = sF23
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f376,f459]) ).
fof(f487,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_17 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_17 ),
inference(subsumption_resolution,[],[f484,f353]) ).
fof(f353,plain,
( ~ sP10(sk_c11)
| ~ spl27_2
| ~ spl27_3 ),
inference(backward_demodulation,[],[f156,f351]) ).
fof(f484,plain,
( sP10(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_17 ),
inference(backward_demodulation,[],[f466,f472]) ).
fof(f466,plain,
( sP10(sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_17 ),
inference(backward_demodulation,[],[f285,f459]) ).
fof(f306,plain,
( spl27_17
| spl27_18
| spl27_19
| spl27_20
| spl27_21
| spl27_22
| spl27_23 ),
inference(avatar_split_clause,[],[f157,f304,f301,f298,f295,f291,f287,f283]) ).
fof(f157,plain,
! [X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(sk_c11,multiply(X4,sk_c11)))
| sP8(sF23)
| sP9(sF22)
| sP10(sk_c9) ),
inference(definition_folding,[],[f79,f101,f112]) ).
fof(f79,plain,
! [X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(sk_c11,multiply(X4,sk_c11)))
| sP8(multiply(sk_c9,sk_c10))
| sP9(inverse(sk_c11))
| sP10(sk_c9) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| multiply(X4,sk_c11) != X3
| sP7(multiply(sk_c11,X3))
| sP8(multiply(sk_c9,sk_c10))
| sP9(inverse(sk_c11))
| sP10(sk_c9) ),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(multiply(X9,X8)) != X8
| inverse(X9) != multiply(X9,X8)
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| multiply(X4,sk_c11) != X3
| sP7(multiply(sk_c11,X3))
| sP8(multiply(sk_c9,sk_c10))
| sP9(inverse(sk_c11))
| sP10(sk_c9) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| multiply(X4,sk_c11) != X3
| sP7(multiply(sk_c11,X3))
| sP8(multiply(sk_c9,sk_c10))
| sP9(inverse(sk_c11))
| sP10(sk_c9) ),
inference(inequality_splitting,[],[f64,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65]) ).
fof(f64,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sk_c11 != multiply(X8,sk_c10)
| inverse(X7) != X8
| sk_c11 != multiply(X7,X8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X4)
| multiply(X4,sk_c11) != X3
| sk_c10 != multiply(sk_c11,X3)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c9 != inverse(sk_c11)
| multiply(sk_c11,sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_61) ).
fof(f281,plain,
( spl27_16
| spl27_11 ),
inference(avatar_split_clause,[],[f155,f208,f269]) ).
fof(f155,plain,
( sk_c6 = sF21
| sk_c11 = sF26 ),
inference(definition_folding,[],[f63,f145,f99]) ).
fof(f63,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_60) ).
fof(f280,plain,
( spl27_16
| spl27_10 ),
inference(avatar_split_clause,[],[f154,f203,f269]) ).
fof(f154,plain,
( sk_c8 = sF20
| sk_c11 = sF26 ),
inference(definition_folding,[],[f62,f145,f97]) ).
fof(f62,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_59) ).
fof(f279,plain,
( spl27_16
| spl27_9 ),
inference(avatar_split_clause,[],[f153,f198,f269]) ).
fof(f153,plain,
( sk_c6 = sF19
| sk_c11 = sF26 ),
inference(definition_folding,[],[f61,f145,f95]) ).
fof(f61,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_58) ).
fof(f278,plain,
( spl27_16
| spl27_8 ),
inference(avatar_split_clause,[],[f152,f193,f269]) ).
fof(f152,plain,
( sk_c11 = sF18
| sk_c11 = sF26 ),
inference(definition_folding,[],[f60,f145,f93]) ).
fof(f60,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_57) ).
fof(f277,plain,
( spl27_16
| spl27_7 ),
inference(avatar_split_clause,[],[f151,f188,f269]) ).
fof(f151,plain,
( sk_c8 = sF17
| sk_c11 = sF26 ),
inference(definition_folding,[],[f59,f145,f91]) ).
fof(f59,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_56) ).
fof(f276,plain,
( spl27_16
| spl27_6 ),
inference(avatar_split_clause,[],[f150,f183,f269]) ).
fof(f150,plain,
( sk_c11 = sF16
| sk_c11 = sF26 ),
inference(definition_folding,[],[f58,f145,f89]) ).
fof(f58,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_55) ).
fof(f275,plain,
( spl27_16
| spl27_5 ),
inference(avatar_split_clause,[],[f149,f178,f269]) ).
fof(f149,plain,
( sk_c10 = sF15
| sk_c11 = sF26 ),
inference(definition_folding,[],[f57,f145,f87]) ).
fof(f57,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_54) ).
fof(f274,plain,
( spl27_16
| spl27_4 ),
inference(avatar_split_clause,[],[f148,f173,f269]) ).
fof(f148,plain,
( sk_c9 = sF14
| sk_c11 = sF26 ),
inference(definition_folding,[],[f56,f145,f85]) ).
fof(f56,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_53) ).
fof(f273,plain,
( spl27_16
| spl27_3 ),
inference(avatar_split_clause,[],[f147,f168,f269]) ).
fof(f147,plain,
( sk_c11 = sF13
| sk_c11 = sF26 ),
inference(definition_folding,[],[f55,f145,f83]) ).
fof(f55,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_52) ).
fof(f272,plain,
( spl27_16
| spl27_2 ),
inference(avatar_split_clause,[],[f146,f163,f269]) ).
fof(f146,plain,
( sk_c10 = sF11
| sk_c11 = sF26 ),
inference(definition_folding,[],[f54,f145,f80]) ).
fof(f54,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_51) ).
fof(f267,plain,
( spl27_15
| spl27_11 ),
inference(avatar_split_clause,[],[f144,f208,f255]) ).
fof(f144,plain,
( sk_c6 = sF21
| sk_c2 = sF25 ),
inference(definition_folding,[],[f53,f134,f99]) ).
fof(f53,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_50) ).
fof(f266,plain,
( spl27_15
| spl27_10 ),
inference(avatar_split_clause,[],[f143,f203,f255]) ).
fof(f143,plain,
( sk_c8 = sF20
| sk_c2 = sF25 ),
inference(definition_folding,[],[f52,f134,f97]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_49) ).
fof(f265,plain,
( spl27_15
| spl27_9 ),
inference(avatar_split_clause,[],[f142,f198,f255]) ).
fof(f142,plain,
( sk_c6 = sF19
| sk_c2 = sF25 ),
inference(definition_folding,[],[f51,f134,f95]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_48) ).
fof(f264,plain,
( spl27_15
| spl27_8 ),
inference(avatar_split_clause,[],[f141,f193,f255]) ).
fof(f141,plain,
( sk_c11 = sF18
| sk_c2 = sF25 ),
inference(definition_folding,[],[f50,f134,f93]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_47) ).
fof(f263,plain,
( spl27_15
| spl27_7 ),
inference(avatar_split_clause,[],[f140,f188,f255]) ).
fof(f140,plain,
( sk_c8 = sF17
| sk_c2 = sF25 ),
inference(definition_folding,[],[f49,f134,f91]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_46) ).
fof(f262,plain,
( spl27_15
| spl27_6 ),
inference(avatar_split_clause,[],[f139,f183,f255]) ).
fof(f139,plain,
( sk_c11 = sF16
| sk_c2 = sF25 ),
inference(definition_folding,[],[f48,f134,f89]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_45) ).
fof(f261,plain,
( spl27_15
| spl27_5 ),
inference(avatar_split_clause,[],[f138,f178,f255]) ).
fof(f138,plain,
( sk_c10 = sF15
| sk_c2 = sF25 ),
inference(definition_folding,[],[f47,f134,f87]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_44) ).
fof(f260,plain,
( spl27_15
| spl27_4 ),
inference(avatar_split_clause,[],[f137,f173,f255]) ).
fof(f137,plain,
( sk_c9 = sF14
| sk_c2 = sF25 ),
inference(definition_folding,[],[f46,f134,f85]) ).
fof(f46,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_43) ).
fof(f259,plain,
( spl27_15
| spl27_3 ),
inference(avatar_split_clause,[],[f136,f168,f255]) ).
fof(f136,plain,
( sk_c11 = sF13
| sk_c2 = sF25 ),
inference(definition_folding,[],[f45,f134,f83]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_42) ).
fof(f258,plain,
( spl27_15
| spl27_2 ),
inference(avatar_split_clause,[],[f135,f163,f255]) ).
fof(f135,plain,
( sk_c10 = sF11
| sk_c2 = sF25 ),
inference(definition_folding,[],[f44,f134,f80]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_41) ).
fof(f253,plain,
( spl27_14
| spl27_11 ),
inference(avatar_split_clause,[],[f133,f208,f241]) ).
fof(f133,plain,
( sk_c6 = sF21
| sk_c10 = sF24 ),
inference(definition_folding,[],[f43,f123,f99]) ).
fof(f43,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_40) ).
fof(f252,plain,
( spl27_14
| spl27_10 ),
inference(avatar_split_clause,[],[f132,f203,f241]) ).
fof(f132,plain,
( sk_c8 = sF20
| sk_c10 = sF24 ),
inference(definition_folding,[],[f42,f123,f97]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_39) ).
fof(f251,plain,
( spl27_14
| spl27_9 ),
inference(avatar_split_clause,[],[f131,f198,f241]) ).
fof(f131,plain,
( sk_c6 = sF19
| sk_c10 = sF24 ),
inference(definition_folding,[],[f41,f123,f95]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_38) ).
fof(f250,plain,
( spl27_14
| spl27_8 ),
inference(avatar_split_clause,[],[f130,f193,f241]) ).
fof(f130,plain,
( sk_c11 = sF18
| sk_c10 = sF24 ),
inference(definition_folding,[],[f40,f123,f93]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_37) ).
fof(f249,plain,
( spl27_14
| spl27_7 ),
inference(avatar_split_clause,[],[f129,f188,f241]) ).
fof(f129,plain,
( sk_c8 = sF17
| sk_c10 = sF24 ),
inference(definition_folding,[],[f39,f123,f91]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_36) ).
fof(f248,plain,
( spl27_14
| spl27_6 ),
inference(avatar_split_clause,[],[f128,f183,f241]) ).
fof(f128,plain,
( sk_c11 = sF16
| sk_c10 = sF24 ),
inference(definition_folding,[],[f38,f123,f89]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_35) ).
fof(f247,plain,
( spl27_14
| spl27_5 ),
inference(avatar_split_clause,[],[f127,f178,f241]) ).
fof(f127,plain,
( sk_c10 = sF15
| sk_c10 = sF24 ),
inference(definition_folding,[],[f37,f123,f87]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_34) ).
fof(f246,plain,
( spl27_14
| spl27_4 ),
inference(avatar_split_clause,[],[f126,f173,f241]) ).
fof(f126,plain,
( sk_c9 = sF14
| sk_c10 = sF24 ),
inference(definition_folding,[],[f36,f123,f85]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_33) ).
fof(f245,plain,
( spl27_14
| spl27_3 ),
inference(avatar_split_clause,[],[f125,f168,f241]) ).
fof(f125,plain,
( sk_c11 = sF13
| sk_c10 = sF24 ),
inference(definition_folding,[],[f35,f123,f83]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_32) ).
fof(f244,plain,
( spl27_14
| spl27_2 ),
inference(avatar_split_clause,[],[f124,f163,f241]) ).
fof(f124,plain,
( sk_c10 = sF11
| sk_c10 = sF24 ),
inference(definition_folding,[],[f34,f123,f80]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_31) ).
fof(f236,plain,
( spl27_13
| spl27_8 ),
inference(avatar_split_clause,[],[f119,f193,f227]) ).
fof(f119,plain,
( sk_c11 = sF18
| sk_c11 = sF23 ),
inference(definition_folding,[],[f30,f112,f93]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_27) ).
fof(f235,plain,
( spl27_13
| spl27_7 ),
inference(avatar_split_clause,[],[f118,f188,f227]) ).
fof(f118,plain,
( sk_c8 = sF17
| sk_c11 = sF23 ),
inference(definition_folding,[],[f29,f112,f91]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_26) ).
fof(f234,plain,
( spl27_13
| spl27_6 ),
inference(avatar_split_clause,[],[f117,f183,f227]) ).
fof(f117,plain,
( sk_c11 = sF16
| sk_c11 = sF23 ),
inference(definition_folding,[],[f28,f112,f89]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_25) ).
fof(f233,plain,
( spl27_13
| spl27_5 ),
inference(avatar_split_clause,[],[f116,f178,f227]) ).
fof(f116,plain,
( sk_c10 = sF15
| sk_c11 = sF23 ),
inference(definition_folding,[],[f27,f112,f87]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_24) ).
fof(f232,plain,
( spl27_13
| spl27_4 ),
inference(avatar_split_clause,[],[f115,f173,f227]) ).
fof(f115,plain,
( sk_c9 = sF14
| sk_c11 = sF23 ),
inference(definition_folding,[],[f26,f112,f85]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_23) ).
fof(f231,plain,
( spl27_13
| spl27_3 ),
inference(avatar_split_clause,[],[f114,f168,f227]) ).
fof(f114,plain,
( sk_c11 = sF13
| sk_c11 = sF23 ),
inference(definition_folding,[],[f25,f112,f83]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_22) ).
fof(f230,plain,
( spl27_13
| spl27_2 ),
inference(avatar_split_clause,[],[f113,f163,f227]) ).
fof(f113,plain,
( sk_c10 = sF11
| sk_c11 = sF23 ),
inference(definition_folding,[],[f24,f112,f80]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_21) ).
fof(f225,plain,
( spl27_12
| spl27_11 ),
inference(avatar_split_clause,[],[f111,f208,f213]) ).
fof(f111,plain,
( sk_c6 = sF21
| sk_c9 = sF22 ),
inference(definition_folding,[],[f23,f101,f99]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_20) ).
fof(f224,plain,
( spl27_12
| spl27_10 ),
inference(avatar_split_clause,[],[f110,f203,f213]) ).
fof(f110,plain,
( sk_c8 = sF20
| sk_c9 = sF22 ),
inference(definition_folding,[],[f22,f101,f97]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_19) ).
fof(f223,plain,
( spl27_12
| spl27_9 ),
inference(avatar_split_clause,[],[f109,f198,f213]) ).
fof(f109,plain,
( sk_c6 = sF19
| sk_c9 = sF22 ),
inference(definition_folding,[],[f21,f101,f95]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_18) ).
fof(f222,plain,
( spl27_12
| spl27_8 ),
inference(avatar_split_clause,[],[f108,f193,f213]) ).
fof(f108,plain,
( sk_c11 = sF18
| sk_c9 = sF22 ),
inference(definition_folding,[],[f20,f101,f93]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_17) ).
fof(f221,plain,
( spl27_12
| spl27_7 ),
inference(avatar_split_clause,[],[f107,f188,f213]) ).
fof(f107,plain,
( sk_c8 = sF17
| sk_c9 = sF22 ),
inference(definition_folding,[],[f19,f101,f91]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_16) ).
fof(f220,plain,
( spl27_12
| spl27_6 ),
inference(avatar_split_clause,[],[f106,f183,f213]) ).
fof(f106,plain,
( sk_c11 = sF16
| sk_c9 = sF22 ),
inference(definition_folding,[],[f18,f101,f89]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_15) ).
fof(f219,plain,
( spl27_12
| spl27_5 ),
inference(avatar_split_clause,[],[f105,f178,f213]) ).
fof(f105,plain,
( sk_c10 = sF15
| sk_c9 = sF22 ),
inference(definition_folding,[],[f17,f101,f87]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_14) ).
fof(f218,plain,
( spl27_12
| spl27_4 ),
inference(avatar_split_clause,[],[f104,f173,f213]) ).
fof(f104,plain,
( sk_c9 = sF14
| sk_c9 = sF22 ),
inference(definition_folding,[],[f16,f101,f85]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_13) ).
fof(f217,plain,
( spl27_12
| spl27_3 ),
inference(avatar_split_clause,[],[f103,f168,f213]) ).
fof(f103,plain,
( sk_c11 = sF13
| sk_c9 = sF22 ),
inference(definition_folding,[],[f15,f101,f83]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_12) ).
fof(f216,plain,
( spl27_12
| spl27_2 ),
inference(avatar_split_clause,[],[f102,f163,f213]) ).
fof(f102,plain,
( sk_c10 = sF11
| sk_c9 = sF22 ),
inference(definition_folding,[],[f14,f101,f80]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_11) ).
fof(f196,plain,
( spl27_1
| spl27_8 ),
inference(avatar_split_clause,[],[f94,f193,f159]) ).
fof(f94,plain,
( sk_c11 = sF18
| sk_c9 = sF12 ),
inference(definition_folding,[],[f10,f81,f93]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c11,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_7) ).
fof(f191,plain,
( spl27_1
| spl27_7 ),
inference(avatar_split_clause,[],[f92,f188,f159]) ).
fof(f92,plain,
( sk_c8 = sF17
| sk_c9 = sF12 ),
inference(definition_folding,[],[f9,f81,f91]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c11,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_6) ).
fof(f181,plain,
( spl27_1
| spl27_5 ),
inference(avatar_split_clause,[],[f88,f178,f159]) ).
fof(f88,plain,
( sk_c10 = sF15
| sk_c9 = sF12 ),
inference(definition_folding,[],[f7,f81,f87]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c11,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_4) ).
fof(f171,plain,
( spl27_1
| spl27_3 ),
inference(avatar_split_clause,[],[f84,f168,f159]) ).
fof(f84,plain,
( sk_c11 = sF13
| sk_c9 = sF12 ),
inference(definition_folding,[],[f5,f81,f83]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c11,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.SW65gYmOgQ/Vampire---4.8_28214',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP307-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % 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 : n022.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 : Fri May 3 20:51:38 EDT 2024
% 0.20/0.36 % CPUTime :
% 0.20/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.20/0.36 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.SW65gYmOgQ/Vampire---4.8_28214
% 0.59/0.80 % (28544)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 (2995ds/56Mi)
% 0.59/0.80 % (28537)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 (2995ds/34Mi)
% 0.59/0.80 % (28539)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80 % (28538)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 (2995ds/51Mi)
% 0.59/0.80 % (28540)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.80 % (28541)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 (2995ds/34Mi)
% 0.59/0.80 % (28542)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.80 % (28543)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 (2995ds/83Mi)
% 0.59/0.81 % (28544)Refutation not found, incomplete strategy% (28544)------------------------------
% 0.59/0.81 % (28544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (28544)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (28544)Memory used [KB]: 1084
% 0.59/0.81 % (28544)Time elapsed: 0.003 s
% 0.59/0.81 % (28544)Instructions burned: 5 (million)
% 0.59/0.81 % (28544)------------------------------
% 0.59/0.81 % (28544)------------------------------
% 0.59/0.81 % (28537)Refutation not found, incomplete strategy% (28537)------------------------------
% 0.59/0.81 % (28537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (28537)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (28537)Memory used [KB]: 1098
% 0.59/0.81 % (28537)Time elapsed: 0.004 s
% 0.59/0.81 % (28537)Instructions burned: 5 (million)
% 0.59/0.81 % (28540)Refutation not found, incomplete strategy% (28540)------------------------------
% 0.59/0.81 % (28540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (28540)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (28540)Memory used [KB]: 1014
% 0.59/0.81 % (28540)Time elapsed: 0.004 s
% 0.59/0.81 % (28540)Instructions burned: 5 (million)
% 0.59/0.81 % (28540)------------------------------
% 0.59/0.81 % (28540)------------------------------
% 0.59/0.81 % (28537)------------------------------
% 0.59/0.81 % (28537)------------------------------
% 0.59/0.81 % (28541)Refutation not found, incomplete strategy% (28541)------------------------------
% 0.59/0.81 % (28541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (28541)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (28541)Memory used [KB]: 1100
% 0.59/0.81 % (28541)Time elapsed: 0.004 s
% 0.59/0.81 % (28541)Instructions burned: 6 (million)
% 0.59/0.81 % (28541)------------------------------
% 0.59/0.81 % (28541)------------------------------
% 0.59/0.81 % (28539)Refutation not found, incomplete strategy% (28539)------------------------------
% 0.59/0.81 % (28539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (28539)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (28539)Memory used [KB]: 1090
% 0.59/0.81 % (28539)Time elapsed: 0.005 s
% 0.59/0.81 % (28539)Instructions burned: 7 (million)
% 0.59/0.81 % (28539)------------------------------
% 0.59/0.81 % (28539)------------------------------
% 0.59/0.81 % (28550)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 (2995ds/55Mi)
% 0.59/0.81 % (28543)Refutation not found, incomplete strategy% (28543)------------------------------
% 0.59/0.81 % (28543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (28543)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (28543)Memory used [KB]: 1107
% 0.59/0.81 % (28543)Time elapsed: 0.006 s
% 0.59/0.81 % (28543)Instructions burned: 9 (million)
% 0.59/0.81 % (28543)------------------------------
% 0.59/0.81 % (28543)------------------------------
% 0.59/0.81 % (28552)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 (2995ds/50Mi)
% 0.59/0.81 % (28553)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 (2995ds/208Mi)
% 0.59/0.81 % (28554)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 (2995ds/52Mi)
% 0.59/0.81 % (28550)Refutation not found, incomplete strategy% (28550)------------------------------
% 0.59/0.81 % (28550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (28550)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (28550)Memory used [KB]: 1094
% 0.59/0.81 % (28550)Time elapsed: 0.004 s
% 0.59/0.81 % (28550)Instructions burned: 8 (million)
% 0.59/0.81 % (28550)------------------------------
% 0.59/0.81 % (28550)------------------------------
% 0.59/0.81 % (28555)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 (2995ds/518Mi)
% 0.59/0.81 % (28557)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 (2995ds/42Mi)
% 0.59/0.82 % (28552)Refutation not found, incomplete strategy% (28552)------------------------------
% 0.59/0.82 % (28552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (28552)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (28552)Memory used [KB]: 1078
% 0.59/0.82 % (28552)Time elapsed: 0.005 s
% 0.59/0.82 % (28552)Instructions burned: 9 (million)
% 0.59/0.82 % (28552)------------------------------
% 0.59/0.82 % (28552)------------------------------
% 0.59/0.82 % (28554)Refutation not found, incomplete strategy% (28554)------------------------------
% 0.59/0.82 % (28554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (28554)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (28554)Memory used [KB]: 1091
% 0.59/0.82 % (28554)Time elapsed: 0.005 s
% 0.59/0.82 % (28554)Instructions burned: 7 (million)
% 0.59/0.82 % (28554)------------------------------
% 0.59/0.82 % (28554)------------------------------
% 0.59/0.82 % (28557)Refutation not found, incomplete strategy% (28557)------------------------------
% 0.59/0.82 % (28557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (28557)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (28557)Memory used [KB]: 1109
% 0.59/0.82 % (28557)Time elapsed: 0.004 s
% 0.59/0.82 % (28557)Instructions burned: 5 (million)
% 0.59/0.82 % (28557)------------------------------
% 0.59/0.82 % (28557)------------------------------
% 0.59/0.82 % (28558)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 (2995ds/243Mi)
% 0.59/0.82 % (28561)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 (2995ds/117Mi)
% 0.59/0.82 % (28563)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 (2995ds/143Mi)
% 0.59/0.82 % (28564)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 (2995ds/93Mi)
% 0.59/0.82 % (28561)Refutation not found, incomplete strategy% (28561)------------------------------
% 0.59/0.82 % (28561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (28561)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (28561)Memory used [KB]: 1021
% 0.59/0.82 % (28561)Time elapsed: 0.005 s
% 0.59/0.82 % (28561)Instructions burned: 5 (million)
% 0.59/0.82 % (28561)------------------------------
% 0.59/0.82 % (28561)------------------------------
% 0.59/0.82 % (28563)Refutation not found, incomplete strategy% (28563)------------------------------
% 0.59/0.82 % (28563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (28563)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (28563)Memory used [KB]: 1102
% 0.59/0.82 % (28563)Time elapsed: 0.005 s
% 0.59/0.82 % (28563)Instructions burned: 5 (million)
% 0.59/0.82 % (28563)------------------------------
% 0.59/0.82 % (28563)------------------------------
% 0.59/0.83 % (28542)Instruction limit reached!
% 0.59/0.83 % (28542)------------------------------
% 0.59/0.83 % (28542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (28542)Termination reason: Unknown
% 0.59/0.83 % (28542)Termination phase: Saturation
% 0.59/0.83
% 0.59/0.83 % (28542)Memory used [KB]: 1525
% 0.59/0.83 % (28542)Time elapsed: 0.023 s
% 0.59/0.83 % (28542)Instructions burned: 46 (million)
% 0.59/0.83 % (28542)------------------------------
% 0.59/0.83 % (28542)------------------------------
% 0.59/0.83 % (28568)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 (2995ds/62Mi)
% 0.59/0.83 % (28569)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 (2995ds/32Mi)
% 0.59/0.83 % (28568)Refutation not found, incomplete strategy% (28568)------------------------------
% 0.59/0.83 % (28568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (28568)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83
% 0.59/0.83 % (28568)Memory used [KB]: 1020
% 0.59/0.83 % (28568)Time elapsed: 0.004 s
% 0.59/0.83 % (28568)Instructions burned: 4 (million)
% 0.59/0.83 % (28568)------------------------------
% 0.59/0.83 % (28568)------------------------------
% 0.59/0.83 % (28572)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 (2995ds/1919Mi)
% 0.59/0.83 % (28538)Instruction limit reached!
% 0.59/0.83 % (28538)------------------------------
% 0.59/0.83 % (28538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (28538)Termination reason: Unknown
% 0.59/0.83 % (28538)Termination phase: Saturation
% 0.59/0.83
% 0.59/0.83 % (28538)Memory used [KB]: 1755
% 0.59/0.83 % (28538)Time elapsed: 0.028 s
% 0.59/0.83 % (28538)Instructions burned: 51 (million)
% 0.59/0.83 % (28538)------------------------------
% 0.59/0.83 % (28538)------------------------------
% 0.78/0.83 % (28569)Refutation not found, incomplete strategy% (28569)------------------------------
% 0.78/0.83 % (28569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.83 % (28569)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.83
% 0.78/0.83 % (28569)Memory used [KB]: 1096
% 0.78/0.83 % (28569)Time elapsed: 0.005 s
% 0.78/0.83 % (28569)Instructions burned: 7 (million)
% 0.78/0.83 % (28558)Refutation not found, incomplete strategy% (28558)------------------------------
% 0.78/0.83 % (28558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.83 % (28558)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.83
% 0.78/0.83 % (28558)Memory used [KB]: 1202
% 0.78/0.83 % (28558)Time elapsed: 0.013 s
% 0.78/0.83 % (28558)Instructions burned: 28 (million)
% 0.78/0.83 % (28569)------------------------------
% 0.78/0.83 % (28569)------------------------------
% 0.78/0.83 % (28558)------------------------------
% 0.78/0.83 % (28558)------------------------------
% 0.78/0.83 % (28576)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 (2995ds/55Mi)
% 0.78/0.83 % (28572)Refutation not found, incomplete strategy% (28572)------------------------------
% 0.78/0.83 % (28572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.83 % (28572)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.83
% 0.78/0.83 % (28572)Memory used [KB]: 1091
% 0.78/0.83 % (28572)Time elapsed: 0.006 s
% 0.78/0.83 % (28572)Instructions burned: 8 (million)
% 0.78/0.83 % (28572)------------------------------
% 0.78/0.83 % (28572)------------------------------
% 0.78/0.84 % (28580)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 (2995ds/53Mi)
% 0.78/0.84 % (28583)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 (2995ds/102Mi)
% 0.78/0.84 % (28582)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 (2995ds/46Mi)
% 0.78/0.84 % (28576)Refutation not found, incomplete strategy% (28576)------------------------------
% 0.78/0.84 % (28576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84 % (28576)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.84
% 0.78/0.84 % (28576)Memory used [KB]: 1114
% 0.78/0.84 % (28576)Time elapsed: 0.005 s
% 0.78/0.84 % (28576)Instructions burned: 7 (million)
% 0.78/0.84 % (28576)------------------------------
% 0.78/0.84 % (28576)------------------------------
% 0.78/0.84 % (28582)Refutation not found, incomplete strategy% (28582)------------------------------
% 0.78/0.84 % (28582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84 % (28582)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.84
% 0.78/0.84 % (28582)Memory used [KB]: 1101
% 0.78/0.84 % (28582)Time elapsed: 0.005 s
% 0.78/0.84 % (28582)Instructions burned: 5 (million)
% 0.78/0.84 % (28586)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 (2995ds/35Mi)
% 0.78/0.84 % (28582)------------------------------
% 0.78/0.84 % (28582)------------------------------
% 0.78/0.84 % (28583)Refutation not found, incomplete strategy% (28583)------------------------------
% 0.78/0.84 % (28583)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84 % (28583)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.84
% 0.78/0.84 % (28583)Memory used [KB]: 1196
% 0.78/0.84 % (28583)Time elapsed: 0.006 s
% 0.78/0.84 % (28583)Instructions burned: 11 (million)
% 0.78/0.84 % (28583)------------------------------
% 0.78/0.84 % (28583)------------------------------
% 0.78/0.84 % (28589)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)
% 0.78/0.84 % (28591)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)
% 0.78/0.84 % (28593)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.78/0.85 % (28593)Refutation not found, incomplete strategy% (28593)------------------------------
% 0.78/0.85 % (28593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.85 % (28593)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.85
% 0.78/0.85 % (28593)Memory used [KB]: 1011
% 0.78/0.85 % (28593)Time elapsed: 0.003 s
% 0.78/0.85 % (28593)Instructions burned: 5 (million)
% 0.78/0.85 % (28593)------------------------------
% 0.78/0.85 % (28593)------------------------------
% 0.78/0.85 % (28595)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.78/0.85 % (28595)Refutation not found, incomplete strategy% (28595)------------------------------
% 0.78/0.85 % (28595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.85 % (28595)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.85
% 0.78/0.85 % (28595)Memory used [KB]: 1107
% 0.78/0.85 % (28595)Time elapsed: 0.004 s
% 0.78/0.85 % (28595)Instructions burned: 6 (million)
% 0.78/0.85 % (28595)------------------------------
% 0.78/0.85 % (28595)------------------------------
% 0.78/0.85 % (28599)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.78/0.86 % (28586)Instruction limit reached!
% 0.78/0.86 % (28586)------------------------------
% 0.78/0.86 % (28586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.86 % (28586)Termination reason: Unknown
% 0.78/0.86 % (28586)Termination phase: Saturation
% 0.78/0.86
% 0.78/0.86 % (28586)Memory used [KB]: 1199
% 0.78/0.86 % (28586)Time elapsed: 0.019 s
% 0.78/0.86 % (28586)Instructions burned: 36 (million)
% 0.78/0.86 % (28586)------------------------------
% 0.78/0.86 % (28586)------------------------------
% 0.78/0.86 % (28580)Instruction limit reached!
% 0.78/0.86 % (28580)------------------------------
% 0.78/0.86 % (28580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.86 % (28580)Termination reason: Unknown
% 0.78/0.86 % (28580)Termination phase: Saturation
% 0.78/0.86
% 0.78/0.86 % (28580)Memory used [KB]: 1197
% 0.78/0.86 % (28580)Time elapsed: 0.027 s
% 0.78/0.86 % (28580)Instructions burned: 54 (million)
% 0.78/0.86 % (28580)------------------------------
% 0.78/0.86 % (28580)------------------------------
% 0.78/0.86 % (28603)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.78/0.86 % (28609)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.78/0.87 % (28564)Instruction limit reached!
% 0.78/0.87 % (28564)------------------------------
% 0.78/0.87 % (28564)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.87 % (28564)Termination reason: Unknown
% 0.78/0.87 % (28564)Termination phase: Saturation
% 0.78/0.87
% 0.78/0.87 % (28564)Memory used [KB]: 2234
% 0.78/0.87 % (28564)Time elapsed: 0.049 s
% 0.78/0.87 % (28564)Instructions burned: 94 (million)
% 0.78/0.87 % (28564)------------------------------
% 0.78/0.87 % (28564)------------------------------
% 0.78/0.87 % (28599)Instruction limit reached!
% 0.78/0.87 % (28599)------------------------------
% 0.78/0.87 % (28599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.87 % (28599)Termination reason: Unknown
% 0.78/0.87 % (28599)Termination phase: Saturation
% 0.78/0.87
% 0.78/0.87 % (28599)Memory used [KB]: 1666
% 0.78/0.87 % (28599)Time elapsed: 0.018 s
% 0.78/0.87 % (28599)Instructions burned: 41 (million)
% 0.78/0.87 % (28599)------------------------------
% 0.78/0.87 % (28599)------------------------------
% 0.78/0.87 % (28616)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 0.78/0.87 % (28619)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 0.78/0.88 % (28589)Instruction limit reached!
% 0.78/0.88 % (28589)------------------------------
% 0.78/0.88 % (28589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.88 % (28589)Termination reason: Unknown
% 0.78/0.88 % (28589)Termination phase: Saturation
% 0.78/0.88
% 0.78/0.88 % (28589)Memory used [KB]: 1446
% 0.78/0.88 % (28589)Time elapsed: 0.039 s
% 0.78/0.88 % (28589)Instructions burned: 87 (million)
% 0.78/0.88 % (28589)------------------------------
% 0.78/0.88 % (28589)------------------------------
% 1.01/0.88 % (28622)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.01/0.89 % (28619)Instruction limit reached!
% 1.01/0.89 % (28619)------------------------------
% 1.01/0.89 % (28619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.89 % (28619)Termination reason: Unknown
% 1.01/0.89 % (28619)Termination phase: Saturation
% 1.01/0.89
% 1.01/0.89 % (28619)Memory used [KB]: 1642
% 1.01/0.89 % (28619)Time elapsed: 0.017 s
% 1.01/0.89 % (28619)Instructions burned: 37 (million)
% 1.01/0.89 % (28619)------------------------------
% 1.01/0.89 % (28619)------------------------------
% 1.01/0.89 % (28626)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 1.01/0.90 % (28553)Instruction limit reached!
% 1.01/0.90 % (28553)------------------------------
% 1.01/0.90 % (28553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.90 % (28553)Termination reason: Unknown
% 1.01/0.90 % (28553)Termination phase: Saturation
% 1.01/0.90
% 1.01/0.90 % (28553)Memory used [KB]: 2387
% 1.01/0.90 % (28553)Time elapsed: 0.087 s
% 1.01/0.90 % (28553)Instructions burned: 208 (million)
% 1.01/0.90 % (28553)------------------------------
% 1.01/0.90 % (28553)------------------------------
% 1.01/0.90 % (28603)First to succeed.
% 1.01/0.90 % (28631)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.01/0.90 % (28631)Refutation not found, incomplete strategy% (28631)------------------------------
% 1.01/0.90 % (28631)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.90 % (28631)Termination reason: Refutation not found, incomplete strategy
% 1.01/0.90
% 1.01/0.90 % (28631)Memory used [KB]: 1084
% 1.01/0.90 % (28631)Time elapsed: 0.005 s
% 1.01/0.90 % (28631)Instructions burned: 5 (million)
% 1.01/0.90 % (28631)------------------------------
% 1.01/0.90 % (28631)------------------------------
% 1.01/0.90 % (28603)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28458"
% 1.01/0.91 % (28603)Refutation found. Thanks to Tanya!
% 1.01/0.91 % SZS status Unsatisfiable for Vampire---4
% 1.01/0.91 % SZS output start Proof for Vampire---4
% See solution above
% 1.01/0.91 % (28603)------------------------------
% 1.01/0.91 % (28603)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.91 % (28603)Termination reason: Refutation
% 1.01/0.91
% 1.01/0.91 % (28603)Memory used [KB]: 1563
% 1.01/0.91 % (28603)Time elapsed: 0.067 s
% 1.01/0.91 % (28603)Instructions burned: 77 (million)
% 1.01/0.91 % (28458)Success in time 0.541 s
% 1.01/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------