TSTP Solution File: GRP386-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP386-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:38 EDT 2022
% Result : Unsatisfiable 2.15s 0.58s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 66
% Syntax : Number of formulae : 358 ( 29 unt; 0 def)
% Number of atoms : 1343 ( 452 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1932 ( 947 ~; 958 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1811,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f149,f169,f189,f190,f192,f206,f207,f210,f211,f220,f222,f223,f225,f226,f229,f230,f231,f232,f233,f237,f240,f242,f243,f245,f295,f297,f343,f388,f545,f558,f589,f650,f679,f799,f808,f810,f1088,f1145,f1237,f1397,f1421,f1447,f1481,f1508,f1561,f1567,f1718,f1734,f1749,f1775,f1786,f1790]) ).
fof(f1790,plain,
( ~ spl15_8
| ~ spl15_21
| spl15_25
| ~ spl15_50 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1789,plain,
( $false
| ~ spl15_8
| ~ spl15_21
| spl15_25
| ~ spl15_50 ),
inference(subsumption_resolution,[],[f1788,f270]) ).
fof(f270,plain,
( identity = sk_c10
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl15_21
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f1788,plain,
( identity != sk_c10
| ~ spl15_8
| spl15_25
| ~ spl15_50 ),
inference(forward_demodulation,[],[f290,f1310]) ).
fof(f1310,plain,
( identity = sk_c9
| ~ spl15_8
| ~ spl15_50 ),
inference(forward_demodulation,[],[f158,f636]) ).
fof(f636,plain,
( identity = sF13
| ~ spl15_50 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f635,plain,
( spl15_50
<=> identity = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f158,plain,
( sk_c9 = sF13
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl15_8
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f290,plain,
( sk_c10 != sk_c9
| spl15_25 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl15_25
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f1786,plain,
( spl15_58
| ~ spl15_5
| ~ spl15_8
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f1389,f635,f156,f142,f791]) ).
fof(f791,plain,
( spl15_58
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
fof(f142,plain,
( spl15_5
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f1389,plain,
( identity = sk_c3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1388,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1388,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_5
| ~ spl15_8
| ~ spl15_50 ),
inference(forward_demodulation,[],[f446,f1361]) ).
fof(f1361,plain,
( identity = sF7
| ~ spl15_5
| ~ spl15_8
| ~ spl15_50 ),
inference(forward_demodulation,[],[f144,f1310]) ).
fof(f144,plain,
( sk_c9 = sF7
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f446,plain,
sk_c3 = multiply(inverse(sF7),identity),
inference(superposition,[],[f318,f253]) ).
fof(f253,plain,
identity = multiply(sF7,sk_c3),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
inverse(sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f318,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f299,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f299,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1775,plain,
( ~ spl15_8
| ~ spl15_21
| spl15_38
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1774]) ).
fof(f1774,plain,
( $false
| ~ spl15_8
| ~ spl15_21
| spl15_38
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1773,f1]) ).
fof(f1773,plain,
( identity != multiply(identity,identity)
| ~ spl15_8
| ~ spl15_21
| spl15_38
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1772,f270]) ).
fof(f1772,plain,
( identity != multiply(sk_c10,identity)
| ~ spl15_8
| spl15_38
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1771,f1166]) ).
fof(f1166,plain,
( identity = inverse(identity)
| ~ spl15_49
| ~ spl15_57 ),
inference(forward_demodulation,[],[f632,f787]) ).
fof(f787,plain,
( identity = sk_c2
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl15_57
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f632,plain,
( identity = inverse(sk_c2)
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f631,plain,
( spl15_49
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f1771,plain,
( identity != multiply(sk_c10,inverse(identity))
| ~ spl15_8
| spl15_38
| ~ spl15_50 ),
inference(forward_demodulation,[],[f384,f1310]) ).
fof(f384,plain,
( sk_c9 != multiply(sk_c10,inverse(sk_c9))
| spl15_38 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl15_38
<=> sk_c9 = multiply(sk_c10,inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f1749,plain,
( ~ spl15_7
| ~ spl15_8
| ~ spl15_17
| ~ spl15_49
| ~ spl15_50
| ~ spl15_53
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1748,plain,
( $false
| ~ spl15_7
| ~ spl15_8
| ~ spl15_17
| ~ spl15_49
| ~ spl15_50
| ~ spl15_53
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1747,f1166]) ).
fof(f1747,plain,
( identity != inverse(identity)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_17
| ~ spl15_49
| ~ spl15_50
| ~ spl15_53
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1743,f1166]) ).
fof(f1743,plain,
( identity != inverse(inverse(identity))
| ~ spl15_7
| ~ spl15_8
| ~ spl15_17
| ~ spl15_50
| ~ spl15_53 ),
inference(trivial_inequality_removal,[],[f1740]) ).
fof(f1740,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_7
| ~ spl15_8
| ~ spl15_17
| ~ spl15_50
| ~ spl15_53 ),
inference(superposition,[],[f1722,f2]) ).
fof(f1722,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_7
| ~ spl15_8
| ~ spl15_17
| ~ spl15_50
| ~ spl15_53 ),
inference(forward_demodulation,[],[f1721,f1530]) ).
fof(f1530,plain,
( identity = sk_c8
| ~ spl15_7
| ~ spl15_53 ),
inference(forward_demodulation,[],[f153,f653]) ).
fof(f653,plain,
( identity = sF6
| ~ spl15_53 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl15_53
<=> identity = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f153,plain,
( sk_c8 = sF6
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl15_7
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f1721,plain,
( ! [X5] :
( sk_c8 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_8
| ~ spl15_17
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1720,f1310]) ).
fof(f1720,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| identity != inverse(X5) )
| ~ spl15_8
| ~ spl15_17
| ~ spl15_50 ),
inference(forward_demodulation,[],[f202,f1310]) ).
fof(f202,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl15_17
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f1734,plain,
( ~ spl15_8
| ~ spl15_21
| ~ spl15_39
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1733]) ).
fof(f1733,plain,
( $false
| ~ spl15_8
| ~ spl15_21
| ~ spl15_39
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1728,f1166]) ).
fof(f1728,plain,
( identity != inverse(identity)
| ~ spl15_8
| ~ spl15_21
| ~ spl15_39
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(trivial_inequality_removal,[],[f1724]) ).
fof(f1724,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_8
| ~ spl15_21
| ~ spl15_39
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(superposition,[],[f1704,f1]) ).
fof(f1704,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_8
| ~ spl15_21
| ~ spl15_39
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1587,f270]) ).
fof(f1587,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c10 != multiply(X0,identity) )
| ~ spl15_8
| ~ spl15_39
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1586,f1166]) ).
fof(f1586,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| sk_c10 != multiply(X0,identity) )
| ~ spl15_8
| ~ spl15_39
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1585,f1166]) ).
fof(f1585,plain,
( ! [X0] :
( sk_c10 != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl15_8
| ~ spl15_39
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1584,f1310]) ).
fof(f1584,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c9)
| sk_c10 != multiply(X0,inverse(identity)) )
| ~ spl15_8
| ~ spl15_39
| ~ spl15_50 ),
inference(forward_demodulation,[],[f387,f1310]) ).
fof(f387,plain,
( ! [X0] :
( sk_c10 != multiply(X0,inverse(sk_c9))
| inverse(X0) != inverse(sk_c9) )
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl15_39
<=> ! [X0] :
( sk_c10 != multiply(X0,inverse(sk_c9))
| inverse(X0) != inverse(sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f1718,plain,
( ~ spl15_8
| ~ spl15_18
| ~ spl15_21
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1717]) ).
fof(f1717,plain,
( $false
| ~ spl15_8
| ~ spl15_18
| ~ spl15_21
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1716,f1166]) ).
fof(f1716,plain,
( identity != inverse(identity)
| ~ spl15_8
| ~ spl15_18
| ~ spl15_21
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1710,f1166]) ).
fof(f1710,plain,
( identity != inverse(inverse(identity))
| ~ spl15_8
| ~ spl15_18
| ~ spl15_21
| ~ spl15_50 ),
inference(trivial_inequality_removal,[],[f1707]) ).
fof(f1707,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_8
| ~ spl15_18
| ~ spl15_21
| ~ spl15_50 ),
inference(superposition,[],[f1661,f2]) ).
fof(f1661,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_8
| ~ spl15_18
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1660,f1310]) ).
fof(f1660,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c9 != multiply(X4,identity) )
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f1659,f270]) ).
fof(f1659,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) )
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f205,f270]) ).
fof(f205,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl15_18
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f1567,plain,
( ~ spl15_21
| spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_50
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f1566,f652,f635,f156,f151,f133,f269]) ).
fof(f133,plain,
( spl15_3
<=> sk_c10 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f1566,plain,
( identity != sk_c10
| spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_50
| ~ spl15_53 ),
inference(backward_demodulation,[],[f134,f1532]) ).
fof(f1532,plain,
( identity = sF8
| ~ spl15_7
| ~ spl15_8
| ~ spl15_50
| ~ spl15_53 ),
inference(backward_demodulation,[],[f1520,f1530]) ).
fof(f1520,plain,
( sk_c8 = sF8
| ~ spl15_8
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1519,f1]) ).
fof(f1519,plain,
( multiply(identity,sk_c8) = sF8
| ~ spl15_8
| ~ spl15_50 ),
inference(forward_demodulation,[],[f70,f1310]) ).
fof(f70,plain,
multiply(sk_c9,sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f134,plain,
( sk_c10 != sF8
| spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f1561,plain,
( spl15_21
| ~ spl15_10
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f939,f186,f166,f269]) ).
fof(f166,plain,
( spl15_10
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f186,plain,
( spl15_14
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f939,plain,
( identity = sk_c10
| ~ spl15_10
| ~ spl15_14 ),
inference(forward_demodulation,[],[f188,f833]) ).
fof(f833,plain,
( identity = sF1
| ~ spl15_10 ),
inference(forward_demodulation,[],[f831,f2]) ).
fof(f831,plain,
( multiply(inverse(sk_c7),sk_c7) = sF1
| ~ spl15_10 ),
inference(backward_demodulation,[],[f728,f168]) ).
fof(f168,plain,
( sk_c7 = sF12
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f728,plain,
multiply(inverse(sF12),sk_c7) = sF1,
inference(superposition,[],[f318,f458]) ).
fof(f458,plain,
sk_c7 = multiply(sF12,sF1),
inference(forward_demodulation,[],[f450,f77]) ).
fof(f77,plain,
inverse(sk_c4) = sF12,
introduced(function_definition,[]) ).
fof(f450,plain,
sk_c7 = multiply(inverse(sk_c4),sF1),
inference(superposition,[],[f318,f58]) ).
fof(f58,plain,
multiply(sk_c4,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f188,plain,
( sk_c10 = sF1
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f1508,plain,
( spl15_6
| ~ spl15_8
| ~ spl15_21
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| spl15_6
| ~ spl15_8
| ~ spl15_21
| ~ spl15_49
| ~ spl15_50
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1506,f1310]) ).
fof(f1506,plain,
( identity != sk_c9
| spl15_6
| ~ spl15_21
| ~ spl15_49
| ~ spl15_57 ),
inference(forward_demodulation,[],[f147,f1460]) ).
fof(f1460,plain,
( identity = sF0
| ~ spl15_21
| ~ spl15_49
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1234,f1166]) ).
fof(f1234,plain,
( sF0 = inverse(identity)
| ~ spl15_21 ),
inference(forward_demodulation,[],[f57,f270]) ).
fof(f57,plain,
inverse(sk_c10) = sF0,
introduced(function_definition,[]) ).
fof(f147,plain,
( sk_c9 != sF0
| spl15_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl15_6
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f1481,plain,
( ~ spl15_21
| spl15_26
| ~ spl15_49
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1480,plain,
( $false
| ~ spl15_21
| spl15_26
| ~ spl15_49
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1479,f270]) ).
fof(f1479,plain,
( identity != sk_c10
| spl15_26
| ~ spl15_49
| ~ spl15_57 ),
inference(forward_demodulation,[],[f294,f1166]) ).
fof(f294,plain,
( sk_c10 != inverse(identity)
| spl15_26 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl15_26
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f1447,plain,
( spl15_53
| ~ spl15_8
| ~ spl15_50
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f1446,f791,f635,f156,f652]) ).
fof(f1446,plain,
( identity = sF6
| ~ spl15_8
| ~ spl15_50
| ~ spl15_58 ),
inference(forward_demodulation,[],[f1445,f1]) ).
fof(f1445,plain,
( multiply(identity,identity) = sF6
| ~ spl15_8
| ~ spl15_50
| ~ spl15_58 ),
inference(forward_demodulation,[],[f1444,f792]) ).
fof(f792,plain,
( identity = sk_c3
| ~ spl15_58 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f1444,plain,
( multiply(sk_c3,identity) = sF6
| ~ spl15_8
| ~ spl15_50 ),
inference(forward_demodulation,[],[f66,f1310]) ).
fof(f66,plain,
multiply(sk_c3,sk_c9) = sF6,
introduced(function_definition,[]) ).
fof(f1421,plain,
( spl15_2
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(avatar_contradiction_clause,[],[f1420]) ).
fof(f1420,plain,
( $false
| spl15_2
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(subsumption_resolution,[],[f1419,f1310]) ).
fof(f1419,plain,
( identity != sk_c9
| spl15_2
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f129,f1338]) ).
fof(f1338,plain,
( identity = sF4
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1337,f1]) ).
fof(f1337,plain,
( multiply(identity,identity) = sF4
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1336,f270]) ).
fof(f1336,plain,
( multiply(sk_c10,identity) = sF4
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f63,f1330]) ).
fof(f1330,plain,
( identity = sk_c8
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f1329,f2]) ).
fof(f1329,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f800,f1310]) ).
fof(f800,plain,
( sk_c8 = multiply(inverse(sk_c9),identity)
| ~ spl15_3
| ~ spl15_21 ),
inference(forward_demodulation,[],[f448,f270]) ).
fof(f448,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c10)
| ~ spl15_3 ),
inference(superposition,[],[f318,f247]) ).
fof(f247,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f70,f135]) ).
fof(f135,plain,
( sk_c10 = sF8
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f63,plain,
multiply(sk_c10,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f129,plain,
( sk_c9 != sF4
| spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_2
<=> sk_c9 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f1397,plain,
( spl15_53
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f1396,f635,f269,f156,f151,f133,f652]) ).
fof(f1396,plain,
( identity = sF6
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f153,f1330]) ).
fof(f1237,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_21
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1236,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_21
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1235,f1204]) ).
fof(f1204,plain,
( identity != sF0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_21
| ~ spl15_26 ),
inference(backward_demodulation,[],[f147,f1201]) ).
fof(f1201,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_21
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1184,f1200]) ).
fof(f1200,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1199,f270]) ).
fof(f1199,plain,
( sk_c10 = multiply(sk_c9,sk_c9)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f247,f1176]) ).
fof(f1176,plain,
( sk_c9 = sk_c8
| ~ spl15_2
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1175,f1]) ).
fof(f1175,plain,
( sk_c8 = multiply(identity,sk_c9)
| ~ spl15_2
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1174,f602]) ).
fof(f602,plain,
( identity = inverse(identity)
| ~ spl15_21
| ~ spl15_26 ),
inference(backward_demodulation,[],[f293,f270]) ).
fof(f293,plain,
( sk_c10 = inverse(identity)
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f1174,plain,
( sk_c8 = multiply(inverse(identity),sk_c9)
| ~ spl15_2
| ~ spl15_21 ),
inference(forward_demodulation,[],[f447,f270]) ).
fof(f447,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl15_2 ),
inference(superposition,[],[f318,f246]) ).
fof(f246,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f63,f130]) ).
fof(f130,plain,
( sk_c9 = sF4
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f1184,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_7
| ~ spl15_21
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1180,f1183]) ).
fof(f1183,plain,
( sk_c9 = sF6
| ~ spl15_2
| ~ spl15_7
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f153,f1176]) ).
fof(f1180,plain,
( sk_c9 = multiply(sk_c9,sF6)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f464,f144]) ).
fof(f464,plain,
sk_c9 = multiply(sF7,sF6),
inference(forward_demodulation,[],[f444,f68]) ).
fof(f444,plain,
sk_c9 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f318,f66]) ).
fof(f1235,plain,
( identity = sF0
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1234,f602]) ).
fof(f1145,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| spl15_13
| ~ spl15_21 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| spl15_13
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f1143,f1124]) ).
fof(f1124,plain,
( identity != sF9
| spl15_13
| ~ spl15_21 ),
inference(forward_demodulation,[],[f183,f270]) ).
fof(f183,plain,
( sk_c10 != sF9
| spl15_13 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl15_13
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f1143,plain,
( identity = sF9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21 ),
inference(forward_demodulation,[],[f1142,f1]) ).
fof(f1142,plain,
( sF9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21 ),
inference(forward_demodulation,[],[f1141,f1126]) ).
fof(f1126,plain,
( identity = sk_c1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21 ),
inference(forward_demodulation,[],[f1125,f1]) ).
fof(f1125,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21 ),
inference(forward_demodulation,[],[f457,f1017]) ).
fof(f1017,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_21 ),
inference(forward_demodulation,[],[f1013,f1]) ).
fof(f1013,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_21 ),
inference(backward_demodulation,[],[f801,f1010]) ).
fof(f1010,plain,
( identity = sk_c8
| ~ spl15_3
| ~ spl15_6
| ~ spl15_21 ),
inference(backward_demodulation,[],[f800,f1009]) ).
fof(f1009,plain,
( identity = multiply(inverse(sk_c9),identity)
| ~ spl15_6
| ~ spl15_21 ),
inference(forward_demodulation,[],[f441,f270]) ).
fof(f441,plain,
( sk_c10 = multiply(inverse(sk_c9),identity)
| ~ spl15_6 ),
inference(superposition,[],[f318,f251]) ).
fof(f251,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl15_6 ),
inference(superposition,[],[f2,f249]) ).
fof(f249,plain,
( inverse(sk_c10) = sk_c9
| ~ spl15_6 ),
inference(backward_demodulation,[],[f57,f148]) ).
fof(f148,plain,
( sk_c9 = sF0
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f801,plain,
( sk_c9 = multiply(identity,sk_c8)
| ~ spl15_2
| ~ spl15_21 ),
inference(forward_demodulation,[],[f246,f270]) ).
fof(f457,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl15_6
| ~ spl15_9 ),
inference(forward_demodulation,[],[f454,f249]) ).
fof(f454,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl15_9 ),
inference(superposition,[],[f318,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl15_9 ),
inference(superposition,[],[f2,f250]) ).
fof(f250,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f65,f163]) ).
fof(f163,plain,
( sk_c10 = sF5
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl15_9
<=> sk_c10 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f65,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f1141,plain,
( sF9 = multiply(sk_c1,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_21 ),
inference(forward_demodulation,[],[f72,f1017]) ).
fof(f72,plain,
multiply(sk_c1,sk_c9) = sF9,
introduced(function_definition,[]) ).
fof(f1088,plain,
( spl15_50
| ~ spl15_21
| ~ spl15_57 ),
inference(avatar_split_clause,[],[f1083,f786,f269,f635]) ).
fof(f1083,plain,
( identity = sF13
| ~ spl15_21
| ~ spl15_57 ),
inference(backward_demodulation,[],[f723,f787]) ).
fof(f723,plain,
( sk_c2 = sF13
| ~ spl15_21 ),
inference(forward_demodulation,[],[f719,f445]) ).
fof(f445,plain,
sk_c2 = multiply(inverse(sF2),identity),
inference(superposition,[],[f318,f252]) ).
fof(f252,plain,
identity = multiply(sF2,sk_c2),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f719,plain,
( sF13 = multiply(inverse(sF2),identity)
| ~ spl15_21 ),
inference(superposition,[],[f318,f603]) ).
fof(f603,plain,
( identity = multiply(sF2,sF13)
| ~ spl15_21 ),
inference(backward_demodulation,[],[f459,f270]) ).
fof(f459,plain,
sk_c10 = multiply(sF2,sF13),
inference(forward_demodulation,[],[f440,f60]) ).
fof(f440,plain,
sk_c10 = multiply(inverse(sk_c2),sF13),
inference(superposition,[],[f318,f83]) ).
fof(f83,plain,
multiply(sk_c2,sk_c10) = sF13,
introduced(function_definition,[]) ).
fof(f810,plain,
( spl15_57
| ~ spl15_1
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f809,f269,f124,f786]) ).
fof(f124,plain,
( spl15_1
<=> sk_c10 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f809,plain,
( identity = sk_c2
| ~ spl15_1
| ~ spl15_21 ),
inference(forward_demodulation,[],[f803,f2]) ).
fof(f803,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl15_1
| ~ spl15_21 ),
inference(backward_demodulation,[],[f445,f802]) ).
fof(f802,plain,
( identity = sF2
| ~ spl15_1
| ~ spl15_21 ),
inference(forward_demodulation,[],[f126,f270]) ).
fof(f126,plain,
( sk_c10 = sF2
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f808,plain,
( spl15_49
| ~ spl15_1
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f807,f269,f124,f631]) ).
fof(f807,plain,
( identity = inverse(sk_c2)
| ~ spl15_1
| ~ spl15_21 ),
inference(backward_demodulation,[],[f60,f802]) ).
fof(f799,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_21
| ~ spl15_26
| ~ spl15_27 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_21
| ~ spl15_26
| ~ spl15_27 ),
inference(subsumption_resolution,[],[f797,f602]) ).
fof(f797,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_21
| ~ spl15_26
| ~ spl15_27 ),
inference(forward_demodulation,[],[f783,f602]) ).
fof(f783,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_21
| ~ spl15_27 ),
inference(trivial_inequality_removal,[],[f781]) ).
fof(f781,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_21
| ~ spl15_27 ),
inference(superposition,[],[f684,f2]) ).
fof(f684,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_21
| ~ spl15_27 ),
inference(forward_demodulation,[],[f683,f270]) ).
fof(f683,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c10 != multiply(X6,identity) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_27 ),
inference(forward_demodulation,[],[f682,f521]) ).
fof(f521,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f514,f1]) ).
fof(f514,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f473,f502]) ).
fof(f502,plain,
( identity = sk_c1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f457,f494]) ).
fof(f494,plain,
( ! [X15] : multiply(sk_c9,X15) = X15
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f308,f493]) ).
fof(f493,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = X0
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f492,f315]) ).
fof(f315,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c10,X9)) = X9
| ~ spl15_6 ),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f302,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c10,X9)) = multiply(identity,X9)
| ~ spl15_6 ),
inference(superposition,[],[f3,f251]) ).
fof(f492,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f489,f478]) ).
fof(f478,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,X0)
| ~ spl15_6
| ~ spl15_9 ),
inference(forward_demodulation,[],[f477,f1]) ).
fof(f477,plain,
( ! [X0] : multiply(sk_c9,multiply(identity,X0)) = multiply(sk_c1,X0)
| ~ spl15_6
| ~ spl15_9 ),
inference(superposition,[],[f3,f457]) ).
fof(f489,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl15_3
| ~ spl15_13 ),
inference(superposition,[],[f303,f309]) ).
fof(f309,plain,
( ! [X16] : multiply(sk_c10,X16) = multiply(sk_c9,multiply(sk_c8,X16))
| ~ spl15_3 ),
inference(superposition,[],[f3,f247]) ).
fof(f303,plain,
( ! [X10] : multiply(sk_c10,X10) = multiply(sk_c1,multiply(sk_c9,X10))
| ~ spl15_13 ),
inference(superposition,[],[f3,f248]) ).
fof(f248,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f72,f184]) ).
fof(f184,plain,
( sk_c10 = sF9
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f308,plain,
( ! [X15] : multiply(sk_c10,multiply(sk_c8,X15)) = multiply(sk_c9,X15)
| ~ spl15_2 ),
inference(superposition,[],[f3,f246]) ).
fof(f473,plain,
( sk_c9 = multiply(sk_c1,identity)
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f466,f463]) ).
fof(f463,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f442,f250]) ).
fof(f442,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl15_13 ),
inference(superposition,[],[f318,f248]) ).
fof(f466,plain,
( multiply(sk_c10,sk_c10) = multiply(sk_c1,identity)
| ~ spl15_6
| ~ spl15_13 ),
inference(superposition,[],[f303,f251]) ).
fof(f682,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_27 ),
inference(forward_demodulation,[],[f338,f521]) ).
fof(f338,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) )
| ~ spl15_27 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl15_27
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f679,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f677,f602]) ).
fof(f677,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f672,f602]) ).
fof(f672,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21 ),
inference(trivial_inequality_removal,[],[f670]) ).
fof(f670,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21 ),
inference(superposition,[],[f662,f2]) ).
fof(f662,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f661,f521]) ).
fof(f661,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f660,f270]) ).
fof(f660,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| identity != inverse(X4) )
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f205,f270]) ).
fof(f650,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17
| ~ spl15_21
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f649,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17
| ~ spl15_21
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f648,f602]) ).
fof(f648,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17
| ~ spl15_21
| ~ spl15_26 ),
inference(forward_demodulation,[],[f626,f602]) ).
fof(f626,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17 ),
inference(superposition,[],[f597,f2]) ).
fof(f597,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17 ),
inference(forward_demodulation,[],[f596,f521]) ).
fof(f596,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c9 != inverse(X5) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17 ),
inference(forward_demodulation,[],[f595,f560]) ).
fof(f560,plain,
( identity = sk_c8
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f503,f521]) ).
fof(f503,plain,
( sk_c9 = sk_c8
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f462,f494]) ).
fof(f462,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl15_2
| ~ spl15_6 ),
inference(forward_demodulation,[],[f447,f249]) ).
fof(f595,plain,
( ! [X5] :
( sk_c8 != multiply(X5,identity)
| sk_c9 != inverse(X5) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_17 ),
inference(forward_demodulation,[],[f202,f521]) ).
fof(f589,plain,
( spl15_21
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f547,f182,f161,f146,f133,f128,f269]) ).
fof(f547,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f533,f2]) ).
fof(f533,plain,
( sk_c10 = multiply(inverse(identity),identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f441,f521]) ).
fof(f558,plain,
( spl15_26
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f512,f182,f161,f146,f133,f128,f292]) ).
fof(f512,plain,
( sk_c10 = inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f250,f502]) ).
fof(f545,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| spl15_28 ),
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f544,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| spl15_28 ),
inference(subsumption_resolution,[],[f543,f480]) ).
fof(f480,plain,
( sk_c10 != sk_c8
| ~ spl15_2
| ~ spl15_6
| spl15_28 ),
inference(superposition,[],[f342,f462]) ).
fof(f342,plain,
( sk_c10 != multiply(sk_c9,sk_c9)
| spl15_28 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl15_28
<=> sk_c10 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f543,plain,
( sk_c10 = sk_c8
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(forward_demodulation,[],[f535,f436]) ).
fof(f436,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f318,f1]) ).
fof(f535,plain,
( sk_c8 = multiply(inverse(identity),sk_c10)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f448,f521]) ).
fof(f388,plain,
( ~ spl15_38
| spl15_39
| ~ spl15_21
| ~ spl15_6
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f380,f198,f146,f269,f386,f382]) ).
fof(f198,plain,
( spl15_16
<=> ! [X6,X8] :
( sk_c10 != multiply(inverse(inverse(X8)),sk_c9)
| sk_c10 != multiply(X6,inverse(inverse(X8)))
| inverse(X8) != multiply(X8,inverse(inverse(X8)))
| inverse(X6) != inverse(inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f380,plain,
( ! [X0] :
( identity != sk_c10
| sk_c10 != multiply(X0,inverse(sk_c9))
| sk_c9 != multiply(sk_c10,inverse(sk_c9))
| inverse(X0) != inverse(sk_c9) )
| ~ spl15_6
| ~ spl15_16 ),
inference(forward_demodulation,[],[f322,f2]) ).
fof(f322,plain,
( ! [X0] :
( sk_c9 != multiply(sk_c10,inverse(sk_c9))
| sk_c10 != multiply(inverse(sk_c9),sk_c9)
| sk_c10 != multiply(X0,inverse(sk_c9))
| inverse(X0) != inverse(sk_c9) )
| ~ spl15_6
| ~ spl15_16 ),
inference(superposition,[],[f199,f249]) ).
fof(f199,plain,
( ! [X8,X6] :
( inverse(X8) != multiply(X8,inverse(inverse(X8)))
| sk_c10 != multiply(X6,inverse(inverse(X8)))
| inverse(X6) != inverse(inverse(X8))
| sk_c10 != multiply(inverse(inverse(X8)),sk_c9) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f343,plain,
( spl15_27
| ~ spl15_28
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f335,f198,f182,f161,f146,f340,f337]) ).
fof(f335,plain,
( ! [X6] :
( sk_c10 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) )
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_16 ),
inference(forward_demodulation,[],[f334,f249]) ).
fof(f334,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c10 != multiply(X6,inverse(sk_c10))
| sk_c10 != multiply(sk_c9,sk_c9) )
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_16 ),
inference(forward_demodulation,[],[f333,f249]) ).
fof(f333,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c10 != multiply(inverse(sk_c10),sk_c9)
| sk_c10 != multiply(X6,inverse(sk_c10)) )
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_16 ),
inference(forward_demodulation,[],[f332,f249]) ).
fof(f332,plain,
( ! [X6] :
( inverse(sk_c10) != inverse(X6)
| sk_c10 != multiply(X6,inverse(sk_c10))
| sk_c10 != multiply(inverse(sk_c10),sk_c9) )
| ~ spl15_6
| ~ spl15_9
| ~ spl15_13
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f331,f248]) ).
fof(f331,plain,
( ! [X6] :
( inverse(sk_c10) != inverse(X6)
| sk_c10 != multiply(sk_c1,sk_c9)
| sk_c10 != multiply(inverse(sk_c10),sk_c9)
| sk_c10 != multiply(X6,inverse(sk_c10)) )
| ~ spl15_6
| ~ spl15_9
| ~ spl15_16 ),
inference(forward_demodulation,[],[f328,f249]) ).
fof(f328,plain,
( ! [X6] :
( sk_c10 != multiply(sk_c1,inverse(sk_c10))
| sk_c10 != multiply(inverse(sk_c10),sk_c9)
| inverse(sk_c10) != inverse(X6)
| sk_c10 != multiply(X6,inverse(sk_c10)) )
| ~ spl15_9
| ~ spl15_16 ),
inference(superposition,[],[f199,f250]) ).
fof(f297,plain,
( ~ spl15_9
| ~ spl15_13
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| ~ spl15_9
| ~ spl15_13
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f263,f250]) ).
fof(f263,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl15_13
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f258]) ).
fof(f258,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c1)
| ~ spl15_13
| ~ spl15_15 ),
inference(superposition,[],[f196,f248]) ).
fof(f196,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl15_15
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f295,plain,
( ~ spl15_25
| ~ spl15_26
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f261,f195,f292,f288]) ).
fof(f261,plain,
( sk_c10 != inverse(identity)
| sk_c10 != sk_c9
| ~ spl15_15 ),
inference(superposition,[],[f196,f1]) ).
fof(f245,plain,
( spl15_10
| spl15_9 ),
inference(avatar_split_clause,[],[f116,f161,f166]) ).
fof(f116,plain,
( sk_c10 = sF5
| sk_c7 = sF12 ),
inference(definition_folding,[],[f39,f65,f77]) ).
fof(f39,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f243,plain,
( spl15_5
| spl15_3 ),
inference(avatar_split_clause,[],[f110,f133,f142]) ).
fof(f110,plain,
( sk_c10 = sF8
| sk_c9 = sF7 ),
inference(definition_folding,[],[f17,f70,f68]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f242,plain,
( spl15_14
| spl15_2 ),
inference(avatar_split_clause,[],[f98,f128,f186]) ).
fof(f98,plain,
( sk_c9 = sF4
| sk_c10 = sF1 ),
inference(definition_folding,[],[f28,f58,f63]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f240,plain,
( spl15_3
| spl15_14 ),
inference(avatar_split_clause,[],[f120,f186,f133]) ).
fof(f120,plain,
( sk_c10 = sF1
| sk_c10 = sF8 ),
inference(definition_folding,[],[f18,f58,f70]) ).
fof(f18,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f237,plain,
( spl15_7
| spl15_9 ),
inference(avatar_split_clause,[],[f67,f161,f151]) ).
fof(f67,plain,
( sk_c10 = sF5
| sk_c8 = sF6 ),
inference(definition_folding,[],[f36,f66,f65]) ).
fof(f36,axiom,
( sk_c10 = inverse(sk_c1)
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f233,plain,
( spl15_6
| spl15_10 ),
inference(avatar_split_clause,[],[f78,f166,f146]) ).
fof(f78,plain,
( sk_c7 = sF12
| sk_c9 = sF0 ),
inference(definition_folding,[],[f9,f77,f57]) ).
fof(f9,axiom,
( inverse(sk_c10) = sk_c9
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f232,plain,
( spl15_10
| spl15_3 ),
inference(avatar_split_clause,[],[f80,f133,f166]) ).
fof(f80,plain,
( sk_c10 = sF8
| sk_c7 = sF12 ),
inference(definition_folding,[],[f19,f77,f70]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f231,plain,
( spl15_6
| spl15_14 ),
inference(avatar_split_clause,[],[f59,f186,f146]) ).
fof(f59,plain,
( sk_c10 = sF1
| sk_c9 = sF0 ),
inference(definition_folding,[],[f8,f58,f57]) ).
fof(f8,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f230,plain,
( spl15_13
| spl15_10 ),
inference(avatar_split_clause,[],[f105,f166,f182]) ).
fof(f105,plain,
( sk_c7 = sF12
| sk_c10 = sF9 ),
inference(definition_folding,[],[f49,f72,f77]) ).
fof(f49,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f229,plain,
( spl15_8
| spl15_9 ),
inference(avatar_split_clause,[],[f84,f161,f156]) ).
fof(f84,plain,
( sk_c10 = sF5
| sk_c9 = sF13 ),
inference(definition_folding,[],[f34,f65,f83]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f226,plain,
( spl15_7
| spl15_6 ),
inference(avatar_split_clause,[],[f99,f146,f151]) ).
fof(f99,plain,
( sk_c9 = sF0
| sk_c8 = sF6 ),
inference(definition_folding,[],[f6,f66,f57]) ).
fof(f6,axiom,
( inverse(sk_c10) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f225,plain,
( spl15_3
| spl15_7 ),
inference(avatar_split_clause,[],[f118,f151,f133]) ).
fof(f118,plain,
( sk_c8 = sF6
| sk_c10 = sF8 ),
inference(definition_folding,[],[f16,f66,f70]) ).
fof(f16,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f223,plain,
( spl15_3
| spl15_8 ),
inference(avatar_split_clause,[],[f96,f156,f133]) ).
fof(f96,plain,
( sk_c9 = sF13
| sk_c10 = sF8 ),
inference(definition_folding,[],[f14,f83,f70]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f222,plain,
( spl15_13
| spl15_8 ),
inference(avatar_split_clause,[],[f114,f156,f182]) ).
fof(f114,plain,
( sk_c9 = sF13
| sk_c10 = sF9 ),
inference(definition_folding,[],[f44,f72,f83]) ).
fof(f44,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f220,plain,
( spl15_1
| spl15_13 ),
inference(avatar_split_clause,[],[f107,f182,f124]) ).
fof(f107,plain,
( sk_c10 = sF9
| sk_c10 = sF2 ),
inference(definition_folding,[],[f45,f72,f60]) ).
fof(f45,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f211,plain,
( spl15_1
| spl15_6 ),
inference(avatar_split_clause,[],[f61,f146,f124]) ).
fof(f61,plain,
( sk_c9 = sF0
| sk_c10 = sF2 ),
inference(definition_folding,[],[f5,f60,f57]) ).
fof(f5,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f210,plain,
( spl15_3
| spl15_1 ),
inference(avatar_split_clause,[],[f93,f124,f133]) ).
fof(f93,plain,
( sk_c10 = sF2
| sk_c10 = sF8 ),
inference(definition_folding,[],[f15,f70,f60]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f207,plain,
( spl15_9
| spl15_1 ),
inference(avatar_split_clause,[],[f92,f124,f161]) ).
fof(f92,plain,
( sk_c10 = sF2
| sk_c10 = sF5 ),
inference(definition_folding,[],[f35,f65,f60]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f206,plain,
( ~ spl15_6
| ~ spl15_3
| spl15_15
| spl15_16
| spl15_17
| spl15_18
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f97,f128,f204,f201,f198,f195,f133,f146]) ).
fof(f97,plain,
! [X3,X8,X6,X4,X5] :
( sk_c9 != sF4
| sk_c10 != inverse(X4)
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5)
| sk_c10 != multiply(inverse(inverse(X8)),sk_c9)
| sk_c10 != inverse(X3)
| inverse(X6) != inverse(inverse(X8))
| sk_c9 != multiply(X4,sk_c10)
| inverse(X8) != multiply(X8,inverse(inverse(X8)))
| sk_c10 != multiply(X6,inverse(inverse(X8)))
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != sF8
| sk_c9 != sF0 ),
inference(definition_folding,[],[f56,f63,f70,f57]) ).
fof(f56,plain,
! [X3,X8,X6,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X6,inverse(inverse(X8)))
| sk_c10 != multiply(X3,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| inverse(sk_c10) != sk_c9
| inverse(X6) != inverse(inverse(X8))
| sk_c10 != inverse(X4)
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(inverse(inverse(X8)),sk_c9)
| inverse(X8) != multiply(X8,inverse(inverse(X8))) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X6,inverse(X9))
| sk_c10 != multiply(X3,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| inverse(sk_c10) != sk_c9
| inverse(X6) != inverse(X9)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(inverse(X9),sk_c9)
| inverse(X8) != X9
| multiply(X8,inverse(X9)) != X9 ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X6,X7)
| sk_c10 != multiply(X3,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X9) != X7
| inverse(sk_c10) != sk_c9
| inverse(X6) != X7
| sk_c10 != inverse(X4)
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(X7,sk_c9)
| inverse(X8) != X9
| multiply(X8,X7) != X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f192,plain,
( spl15_2
| spl15_8 ),
inference(avatar_split_clause,[],[f109,f156,f128]) ).
fof(f109,plain,
( sk_c9 = sF13
| sk_c9 = sF4 ),
inference(definition_folding,[],[f24,f83,f63]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f190,plain,
( spl15_14
| spl15_9 ),
inference(avatar_split_clause,[],[f89,f161,f186]) ).
fof(f89,plain,
( sk_c10 = sF5
| sk_c10 = sF1 ),
inference(definition_folding,[],[f38,f58,f65]) ).
fof(f38,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f189,plain,
( spl15_13
| spl15_14 ),
inference(avatar_split_clause,[],[f100,f186,f182]) ).
fof(f100,plain,
( sk_c10 = sF1
| sk_c10 = sF9 ),
inference(definition_folding,[],[f48,f58,f72]) ).
fof(f48,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f169,plain,
( spl15_10
| spl15_2 ),
inference(avatar_split_clause,[],[f106,f128,f166]) ).
fof(f106,plain,
( sk_c9 = sF4
| sk_c7 = sF12 ),
inference(definition_folding,[],[f29,f77,f63]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f149,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f69,f146,f142]) ).
fof(f69,plain,
( sk_c9 = sF0
| sk_c9 = sF7 ),
inference(definition_folding,[],[f7,f57,f68]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c3)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f131,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f102,f128,f124]) ).
fof(f102,plain,
( sk_c9 = sF4
| sk_c10 = sF2 ),
inference(definition_folding,[],[f25,f63,f60]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP386-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 29 22:24:35 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.44 % (27957)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.14/0.44 % (27961)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.44 % (27961)Instruction limit reached!
% 0.14/0.44 % (27961)------------------------------
% 0.14/0.44 % (27961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.44 % (27961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.44 % (27961)Termination reason: Unknown
% 0.14/0.44 % (27961)Termination phase: Saturation
% 0.14/0.44
% 0.14/0.44 % (27961)Memory used [KB]: 5884
% 0.14/0.44 % (27961)Time elapsed: 0.003 s
% 0.14/0.44 % (27961)Instructions burned: 3 (million)
% 0.14/0.44 % (27961)------------------------------
% 0.14/0.44 % (27961)------------------------------
% 0.14/0.45 % (27977)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.14/0.46 % (27962)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.47 % (27975)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.14/0.47 % (27954)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.14/0.47 % (27955)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.47 % (27958)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.47 % (27953)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.14/0.47 % (27955)Instruction limit reached!
% 0.14/0.47 % (27955)------------------------------
% 0.14/0.47 % (27955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (27955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (27955)Termination reason: Unknown
% 0.14/0.47 % (27955)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (27955)Memory used [KB]: 5884
% 0.14/0.47 % (27955)Time elapsed: 0.004 s
% 0.14/0.47 % (27955)Instructions burned: 6 (million)
% 0.14/0.47 % (27955)------------------------------
% 0.14/0.47 % (27955)------------------------------
% 0.14/0.48 % (27970)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.14/0.48 % (27982)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.48 % (27959)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.48 % (27957)Instruction limit reached!
% 0.14/0.48 % (27957)------------------------------
% 0.14/0.48 % (27957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (27957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (27957)Termination reason: Unknown
% 0.14/0.48 % (27957)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (27957)Memory used [KB]: 6524
% 0.14/0.48 % (27957)Time elapsed: 0.121 s
% 0.14/0.48 % (27957)Instructions burned: 34 (million)
% 0.14/0.48 % (27957)------------------------------
% 0.14/0.48 % (27957)------------------------------
% 0.14/0.48 % (27980)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.14/0.48 % (27963)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.48 % (27978)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.14/0.49 % (27956)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.14/0.49 % (27963)Instruction limit reached!
% 0.14/0.49 % (27963)------------------------------
% 0.14/0.49 % (27963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (27963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (27963)Termination reason: Unknown
% 0.14/0.49 % (27963)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (27963)Memory used [KB]: 5884
% 0.14/0.49 % (27963)Time elapsed: 0.133 s
% 0.14/0.49 % (27963)Instructions burned: 6 (million)
% 0.14/0.49 % (27963)------------------------------
% 0.14/0.49 % (27963)------------------------------
% 0.14/0.49 % (27967)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.49 % (27974)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.14/0.49 % (27973)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.49 % (27960)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.49 % (27972)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.49 % (27979)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.14/0.49 % (27966)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.49 % (27966)Instruction limit reached!
% 0.14/0.49 % (27966)------------------------------
% 0.14/0.49 % (27966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (27966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (27966)Termination reason: Unknown
% 0.14/0.49 % (27966)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (27966)Memory used [KB]: 5756
% 0.14/0.49 % (27966)Time elapsed: 0.002 s
% 0.14/0.49 % (27966)Instructions burned: 3 (million)
% 0.14/0.49 % (27966)------------------------------
% 0.14/0.49 % (27966)------------------------------
% 0.14/0.49 % (27976)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.50 % (27976)Refutation not found, incomplete strategy% (27976)------------------------------
% 0.14/0.50 % (27976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (27976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (27976)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.50
% 0.14/0.50 % (27976)Memory used [KB]: 5884
% 0.14/0.50 % (27976)Time elapsed: 0.133 s
% 0.14/0.50 % (27976)Instructions burned: 4 (million)
% 0.14/0.50 % (27976)------------------------------
% 0.14/0.50 % (27976)------------------------------
% 0.14/0.50 % (27981)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.14/0.50 % (27969)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.50 % (27969)Instruction limit reached!
% 0.14/0.50 % (27969)------------------------------
% 0.14/0.50 % (27969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (27977)Instruction limit reached!
% 0.14/0.50 % (27977)------------------------------
% 0.14/0.50 % (27977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (27969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (27969)Termination reason: Unknown
% 0.14/0.50 % (27969)Termination phase: Property scanning
% 0.14/0.50 % (27977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50
% 0.14/0.50 % (27977)Termination reason: Unknown
% 0.14/0.50 % (27977)Termination phase: Saturation
% 0.14/0.50
% 0.14/0.50 % (27969)Memory used [KB]: 1279
% 0.14/0.50 % (27969)Time elapsed: 0.002 s
% 0.14/0.50 % (27969)Instructions burned: 2 (million)
% 0.14/0.50 % (27977)Memory used [KB]: 6908
% 0.14/0.50 % (27969)------------------------------
% 0.14/0.50 % (27969)------------------------------
% 0.14/0.50 % (27977)Time elapsed: 0.145 s
% 0.14/0.50 % (27977)Instructions burned: 46 (million)
% 0.14/0.50 % (27977)------------------------------
% 0.14/0.50 % (27977)------------------------------
% 0.14/0.50 % (27981)Refutation not found, incomplete strategy% (27981)------------------------------
% 0.14/0.50 % (27981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (27981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (27981)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.50
% 0.14/0.50 % (27981)Memory used [KB]: 5884
% 0.14/0.50 % (27981)Time elapsed: 0.155 s
% 0.14/0.50 % (27981)Instructions burned: 4 (million)
% 0.14/0.50 % (27981)------------------------------
% 0.14/0.50 % (27981)------------------------------
% 0.14/0.50 % (27964)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.14/0.50 % (27971)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.14/0.50 % (27965)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.14/0.50 % (27968)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.50 % (27965)Instruction limit reached!
% 0.14/0.50 % (27965)------------------------------
% 0.14/0.50 % (27965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (27965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (27965)Termination reason: Unknown
% 0.14/0.50 % (27965)Termination phase: Saturation
% 0.14/0.50
% 0.14/0.50 % (27965)Memory used [KB]: 5884
% 0.14/0.50 % (27965)Time elapsed: 0.158 s
% 0.14/0.50 % (27965)Instructions burned: 5 (million)
% 0.14/0.50 % (27965)------------------------------
% 0.14/0.50 % (27965)------------------------------
% 0.14/0.50 % (27970)Instruction limit reached!
% 0.14/0.50 % (27970)------------------------------
% 0.14/0.50 % (27970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (27970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (27970)Termination reason: Unknown
% 0.14/0.50 % (27970)Termination phase: Saturation
% 0.14/0.50
% 0.14/0.50 % (27970)Memory used [KB]: 6012
% 0.14/0.50 % (27970)Time elapsed: 0.136 s
% 0.14/0.50 % (27970)Instructions burned: 8 (million)
% 0.14/0.50 % (27970)------------------------------
% 0.14/0.50 % (27970)------------------------------
% 0.14/0.50 % (27973)Instruction limit reached!
% 0.14/0.50 % (27973)------------------------------
% 0.14/0.50 % (27973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (27973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (27973)Termination reason: Unknown
% 0.14/0.50 % (27973)Termination phase: Saturation
% 0.14/0.50
% 0.14/0.50 % (27973)Memory used [KB]: 1407
% 0.14/0.50 % (27973)Time elapsed: 0.004 s
% 0.14/0.50 % (27973)Instructions burned: 6 (million)
% 0.14/0.50 % (27973)------------------------------
% 0.14/0.50 % (27973)------------------------------
% 0.14/0.51 % (27972)Instruction limit reached!
% 0.14/0.51 % (27972)------------------------------
% 0.14/0.51 % (27972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (27972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (27972)Termination reason: Unknown
% 0.14/0.51 % (27972)Termination phase: Saturation
% 0.14/0.51
% 0.14/0.51 % (27974)Refutation not found, incomplete strategy% (27974)------------------------------
% 0.14/0.51 % (27974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (27974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (27974)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.51
% 0.14/0.51 % (27974)Memory used [KB]: 5884
% 0.14/0.51 % (27974)Time elapsed: 0.138 s
% 0.14/0.51 % (27974)Instructions burned: 4 (million)
% 0.14/0.51 % (27974)------------------------------
% 0.14/0.51 % (27974)------------------------------
% 0.14/0.51 % (27972)Memory used [KB]: 6012
% 0.14/0.51 % (27972)Time elapsed: 0.151 s
% 0.14/0.51 % (27972)Instructions burned: 8 (million)
% 0.14/0.51 % (27972)------------------------------
% 0.14/0.51 % (27972)------------------------------
% 0.14/0.52 % (27958)Instruction limit reached!
% 0.14/0.52 % (27958)------------------------------
% 0.14/0.52 % (27958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (27958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (27958)Termination reason: Unknown
% 0.14/0.52 % (27958)Termination phase: Saturation
% 0.14/0.52
% 0.14/0.52 % (27958)Memory used [KB]: 6268
% 0.14/0.52 % (27958)Time elapsed: 0.159 s
% 0.14/0.52 % (27958)Instructions burned: 26 (million)
% 0.14/0.52 % (27958)------------------------------
% 0.14/0.52 % (27958)------------------------------
% 0.14/0.52 % (27964)Instruction limit reached!
% 0.14/0.52 % (27964)------------------------------
% 0.14/0.52 % (27964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (27968)Instruction limit reached!
% 0.14/0.53 % (27968)------------------------------
% 0.14/0.53 % (27968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (27968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (27968)Termination reason: Unknown
% 0.14/0.53 % (27968)Termination phase: Finite model building preprocessing
% 0.14/0.53
% 0.14/0.53 % (27968)Memory used [KB]: 1535
% 0.14/0.53 % (27968)Time elapsed: 0.004 s
% 0.14/0.53 % (27968)Instructions burned: 8 (million)
% 0.14/0.53 % (27968)------------------------------
% 0.14/0.53 % (27968)------------------------------
% 0.14/0.53 % (27967)Instruction limit reached!
% 0.14/0.53 % (27967)------------------------------
% 0.14/0.53 % (27967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54 % (27964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (27964)Termination reason: Unknown
% 0.14/0.54 % (27964)Termination phase: Saturation
% 0.14/0.54
% 0.14/0.54 % (27964)Memory used [KB]: 6396
% 0.14/0.54 % (27964)Time elapsed: 0.168 s
% 0.14/0.54 % (27964)Instructions burned: 24 (million)
% 0.14/0.54 % (27964)------------------------------
% 0.14/0.54 % (27964)------------------------------
% 0.14/0.54 % (27967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (27967)Termination reason: Unknown
% 0.14/0.54 % (27967)Termination phase: Saturation
% 0.14/0.54
% 0.14/0.54 % (27967)Memory used [KB]: 1663
% 0.14/0.54 % (27967)Time elapsed: 0.133 s
% 0.14/0.54 % (27967)Instructions burned: 30 (million)
% 0.14/0.54 % (27967)------------------------------
% 0.14/0.54 % (27967)------------------------------
% 0.14/0.54 % (27954)Instruction limit reached!
% 0.14/0.54 % (27954)------------------------------
% 0.14/0.54 % (27954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54 % (27954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (27954)Termination reason: Unknown
% 0.14/0.54 % (27954)Termination phase: Saturation
% 0.14/0.54
% 0.14/0.54 % (27954)Memory used [KB]: 1663
% 0.14/0.54 % (27954)Time elapsed: 0.185 s
% 0.14/0.54 % (27954)Instructions burned: 42 (million)
% 0.14/0.54 % (27954)------------------------------
% 0.14/0.54 % (27954)------------------------------
% 0.14/0.55 % (27983)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 0.14/0.55 % (27959)Instruction limit reached!
% 0.14/0.55 % (27959)------------------------------
% 0.14/0.55 % (27959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (27962)Refutation not found, non-redundant clauses discarded% (27962)------------------------------
% 0.14/0.55 % (27962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (27962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55 % (27962)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.14/0.55
% 0.14/0.55 % (27962)Memory used [KB]: 6524
% 0.14/0.55 % (27962)Time elapsed: 0.192 s
% 0.14/0.55 % (27962)Instructions burned: 48 (million)
% 0.14/0.55 % (27962)------------------------------
% 0.14/0.55 % (27962)------------------------------
% 0.14/0.56 % (27959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (27959)Termination reason: Unknown
% 0.14/0.56 % (27959)Termination phase: Saturation
% 0.14/0.56
% 0.14/0.56 % (27959)Memory used [KB]: 1791
% 0.14/0.56 % (27959)Time elapsed: 0.142 s
% 0.14/0.56 % (27959)Instructions burned: 49 (million)
% 0.14/0.56 % (27959)------------------------------
% 0.14/0.56 % (27959)------------------------------
% 0.14/0.56 % (27971)Instruction limit reached!
% 0.14/0.56 % (27971)------------------------------
% 0.14/0.56 % (27971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (27971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (27971)Termination reason: Unknown
% 0.14/0.56 % (27971)Termination phase: Saturation
% 0.14/0.56
% 0.14/0.56 % (27971)Memory used [KB]: 10746
% 0.14/0.56 % (27971)Time elapsed: 0.193 s
% 0.14/0.56 % (27971)Instructions burned: 28 (million)
% 0.14/0.56 % (27971)------------------------------
% 0.14/0.56 % (27971)------------------------------
% 0.14/0.56 % (27956)Instruction limit reached!
% 0.14/0.56 % (27956)------------------------------
% 0.14/0.56 % (27956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (27956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (27956)Termination reason: Unknown
% 0.14/0.56 % (27956)Termination phase: Saturation
% 0.14/0.56
% 0.14/0.56 % (27956)Memory used [KB]: 6780
% 0.14/0.56 % (27956)Time elapsed: 0.207 s
% 0.14/0.56 % (27956)Instructions burned: 44 (million)
% 0.14/0.56 % (27956)------------------------------
% 0.14/0.56 % (27956)------------------------------
% 0.14/0.57 % (27960)Instruction limit reached!
% 0.14/0.57 % (27960)------------------------------
% 0.14/0.57 % (27960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.57 % (27960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.57 % (27960)Termination reason: Unknown
% 0.14/0.57 % (27960)Termination phase: Saturation
% 0.14/0.57
% 0.14/0.57 % (27960)Memory used [KB]: 6780
% 0.14/0.57 % (27960)Time elapsed: 0.213 s
% 0.14/0.57 % (27960)Instructions burned: 52 (million)
% 0.14/0.57 % (27960)------------------------------
% 0.14/0.57 % (27960)------------------------------
% 0.14/0.57 % (27983)Instruction limit reached!
% 0.14/0.57 % (27983)------------------------------
% 0.14/0.57 % (27983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.57 % (27983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.57 % (27983)Termination reason: Unknown
% 0.14/0.57 % (27983)Termination phase: Saturation
% 0.14/0.57
% 0.14/0.57 % (27983)Memory used [KB]: 6140
% 0.14/0.57 % (27983)Time elapsed: 0.077 s
% 0.14/0.57 % (27983)Instructions burned: 14 (million)
% 0.14/0.57 % (27983)------------------------------
% 0.14/0.57 % (27983)------------------------------
% 0.14/0.57 % (27953)First to succeed.
% 2.15/0.58 % (27953)Refutation found. Thanks to Tanya!
% 2.15/0.58 % SZS status Unsatisfiable for theBenchmark
% 2.15/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.58 % (27953)------------------------------
% 2.15/0.58 % (27953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.58 % (27953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.58 % (27953)Termination reason: Refutation
% 2.15/0.58
% 2.15/0.58 % (27953)Memory used [KB]: 6780
% 2.15/0.58 % (27953)Time elapsed: 0.229 s
% 2.15/0.58 % (27953)Instructions burned: 51 (million)
% 2.15/0.58 % (27953)------------------------------
% 2.15/0.58 % (27953)------------------------------
% 2.15/0.58 % (27952)Success in time 0.266 s
%------------------------------------------------------------------------------