TSTP Solution File: GRP330-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP330-1 : 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_sat --cores 0 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:19 EDT 2022
% Result : Unsatisfiable 1.69s 0.60s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 62
% Syntax : Number of formulae : 311 ( 12 unt; 0 def)
% Number of atoms : 1144 ( 400 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1661 ( 828 ~; 799 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 35 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1103,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f106,f111,f119,f132,f137,f154,f155,f159,f160,f161,f166,f169,f179,f180,f183,f184,f187,f188,f189,f191,f195,f196,f197,f200,f205,f206,f208,f210,f226,f259,f280,f284,f295,f321,f330,f371,f382,f389,f455,f473,f506,f663,f693,f802,f806,f821,f828,f860,f875,f878,f1024,f1096]) ).
fof(f1096,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_6
| ~ spl4_13
| ~ spl4_22
| spl4_34 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl4_1
| ~ spl4_5
| ~ spl4_6
| ~ spl4_13
| ~ spl4_22
| spl4_34 ),
inference(subsumption_resolution,[],[f1094,f279]) ).
fof(f279,plain,
( identity != sk_c11
| spl4_34 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl4_34
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f1094,plain,
( identity = sk_c11
| ~ spl4_1
| ~ spl4_5
| ~ spl4_6
| ~ spl4_13
| ~ spl4_22 ),
inference(backward_demodulation,[],[f91,f1086]) ).
fof(f1086,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl4_1
| ~ spl4_5
| ~ spl4_13
| ~ spl4_22 ),
inference(backward_demodulation,[],[f596,f1083]) ).
fof(f1083,plain,
( sk_c5 = sk_c6
| ~ spl4_1
| ~ spl4_5
| ~ spl4_13
| ~ spl4_22 ),
inference(forward_demodulation,[],[f1082,f416]) ).
fof(f416,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f310,f309]) ).
fof(f309,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f237,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f237,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f229,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f229,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f310,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f237,f237]) ).
fof(f1082,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl4_1
| ~ spl4_5
| ~ spl4_13
| ~ spl4_22 ),
inference(forward_demodulation,[],[f1068,f598]) ).
fof(f598,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl4_1
| ~ spl4_5
| ~ spl4_13 ),
inference(backward_demodulation,[],[f86,f595]) ).
fof(f595,plain,
( sk_c8 = sk_c7
| ~ spl4_1
| ~ spl4_13 ),
inference(forward_demodulation,[],[f594,f416]) ).
fof(f594,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl4_1
| ~ spl4_13 ),
inference(forward_demodulation,[],[f588,f123]) ).
fof(f123,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl4_13
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f588,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl4_1 ),
inference(superposition,[],[f309,f68]) ).
fof(f68,plain,
( inverse(sk_c7) = sk_c6
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl4_1
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f86,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl4_5
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f1068,plain,
( multiply(sk_c5,identity) = multiply(sk_c8,sk_c8)
| ~ spl4_1
| ~ spl4_5
| ~ spl4_13
| ~ spl4_22 ),
inference(superposition,[],[f737,f416]) ).
fof(f737,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_13
| ~ spl4_22 ),
inference(forward_demodulation,[],[f736,f638]) ).
fof(f638,plain,
( ! [X1] : multiply(sk_c6,X1) = multiply(sk_c5,X1)
| ~ spl4_1
| ~ spl4_13
| ~ spl4_22 ),
inference(forward_demodulation,[],[f634,f599]) ).
fof(f599,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl4_1
| ~ spl4_13 ),
inference(backward_demodulation,[],[f68,f595]) ).
fof(f634,plain,
( ! [X1] : multiply(inverse(sk_c8),X1) = multiply(sk_c5,X1)
| ~ spl4_22 ),
inference(superposition,[],[f310,f173]) ).
fof(f173,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl4_22
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f736,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_13 ),
inference(superposition,[],[f3,f598]) ).
fof(f596,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl4_1
| ~ spl4_13 ),
inference(backward_demodulation,[],[f586,f595]) ).
fof(f586,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl4_1 ),
inference(superposition,[],[f2,f68]) ).
fof(f91,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl4_6
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f1024,plain,
( ~ spl4_10
| ~ spl4_14
| ~ spl4_20
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1023,plain,
( $false
| ~ spl4_10
| ~ spl4_14
| ~ spl4_20
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f1022,f888]) ).
fof(f888,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl4_14
| ~ spl4_25 ),
inference(backward_demodulation,[],[f128,f218]) ).
fof(f218,plain,
( sk_c10 = sk_c9
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl4_25
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f128,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl4_14
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f1022,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl4_10
| ~ spl4_20
| ~ spl4_25 ),
inference(trivial_inequality_removal,[],[f1018]) ).
fof(f1018,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl4_10
| ~ spl4_20
| ~ spl4_25 ),
inference(superposition,[],[f891,f110]) ).
fof(f110,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl4_10
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f891,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c10) )
| ~ spl4_20
| ~ spl4_25 ),
inference(forward_demodulation,[],[f158,f218]) ).
fof(f158,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl4_20
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f878,plain,
( spl4_25
| ~ spl4_27
| ~ spl4_28 ),
inference(avatar_split_clause,[],[f877,f253,f249,f217]) ).
fof(f249,plain,
( spl4_27
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f253,plain,
( spl4_28
<=> sk_c10 = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f877,plain,
( sk_c10 = sk_c9
| ~ spl4_27
| ~ spl4_28 ),
inference(forward_demodulation,[],[f250,f254]) ).
fof(f254,plain,
( sk_c10 = sk_c11
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f250,plain,
( sk_c11 = sk_c9
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f875,plain,
( ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f873,f1]) ).
fof(f873,plain,
( identity != multiply(identity,identity)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f872]) ).
fof(f872,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_34 ),
inference(superposition,[],[f831,f411]) ).
fof(f411,plain,
identity = inverse(identity),
inference(superposition,[],[f309,f376]) ).
fof(f376,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f237,f309]) ).
fof(f831,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f830,f648]) ).
fof(f648,plain,
( identity = sk_c10
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(backward_demodulation,[],[f466,f647]) ).
fof(f647,plain,
( ! [X1] : multiply(sk_c3,X1) = X1
| ~ spl4_9
| ~ spl4_34 ),
inference(forward_demodulation,[],[f646,f1]) ).
fof(f646,plain,
( ! [X1] : multiply(identity,X1) = multiply(sk_c3,X1)
| ~ spl4_9
| ~ spl4_34 ),
inference(forward_demodulation,[],[f644,f411]) ).
fof(f644,plain,
( ! [X1] : multiply(inverse(identity),X1) = multiply(sk_c3,X1)
| ~ spl4_9
| ~ spl4_34 ),
inference(superposition,[],[f310,f461]) ).
fof(f461,plain,
( identity = inverse(sk_c3)
| ~ spl4_9
| ~ spl4_34 ),
inference(forward_demodulation,[],[f105,f278]) ).
fof(f278,plain,
( identity = sk_c11
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f105,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl4_9
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f466,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f136,f278]) ).
fof(f136,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl4_15
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f830,plain,
( ! [X4] :
( sk_c10 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f829,f709]) ).
fof(f709,plain,
( identity = sk_c9
| ~ spl4_4
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f708,f648]) ).
fof(f708,plain,
( sk_c10 = sk_c9
| ~ spl4_4
| ~ spl4_34 ),
inference(forward_demodulation,[],[f707,f416]) ).
fof(f707,plain,
( sk_c9 = multiply(sk_c10,identity)
| ~ spl4_4
| ~ spl4_34 ),
inference(forward_demodulation,[],[f82,f278]) ).
fof(f82,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl4_4
<=> multiply(sk_c10,sk_c11) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f829,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| identity != inverse(X4) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f114,f709]) ).
fof(f114,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl4_11
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f860,plain,
( spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f859,plain,
( $false
| spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f854,f411]) ).
fof(f854,plain,
( identity != inverse(identity)
| spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(backward_demodulation,[],[f803,f838]) ).
fof(f838,plain,
( identity = sk_c1
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(superposition,[],[f416,f776]) ).
fof(f776,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f775,f1]) ).
fof(f775,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(superposition,[],[f3,f705]) ).
fof(f705,plain,
( identity = multiply(sk_c1,identity)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f704,f278]) ).
fof(f704,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f100,f648]) ).
fof(f100,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl4_8
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f803,plain,
( identity != inverse(sk_c1)
| spl4_7
| ~ spl4_9
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f94,f648]) ).
fof(f94,plain,
( sk_c10 != inverse(sk_c1)
| spl4_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl4_7
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f828,plain,
( ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f826,f1]) ).
fof(f826,plain,
( identity != multiply(identity,identity)
| ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f825]) ).
fof(f825,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_34 ),
inference(superposition,[],[f824,f411]) ).
fof(f824,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_34 ),
inference(forward_demodulation,[],[f823,f278]) ).
fof(f823,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_34 ),
inference(forward_demodulation,[],[f822,f648]) ).
fof(f822,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl4_24
| ~ spl4_34 ),
inference(forward_demodulation,[],[f204,f278]) ).
fof(f204,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl4_24
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f821,plain,
( ~ spl4_9
| ~ spl4_15
| ~ spl4_23
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f820]) ).
fof(f820,plain,
( $false
| ~ spl4_9
| ~ spl4_15
| ~ spl4_23
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f819,f1]) ).
fof(f819,plain,
( identity != multiply(identity,identity)
| ~ spl4_9
| ~ spl4_15
| ~ spl4_23
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f818]) ).
fof(f818,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl4_9
| ~ spl4_15
| ~ spl4_23
| ~ spl4_34 ),
inference(superposition,[],[f817,f411]) ).
fof(f817,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_23
| ~ spl4_34 ),
inference(forward_demodulation,[],[f816,f278]) ).
fof(f816,plain,
( ! [X3] :
( sk_c11 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_23
| ~ spl4_34 ),
inference(forward_demodulation,[],[f815,f648]) ).
fof(f815,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_23
| ~ spl4_34 ),
inference(forward_demodulation,[],[f194,f648]) ).
fof(f194,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl4_23
<=> ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f806,plain,
( spl4_32
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| spl4_32
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f804,f278]) ).
fof(f804,plain,
( identity != sk_c11
| spl4_32 ),
inference(forward_demodulation,[],[f272,f418]) ).
fof(f418,plain,
! [X4] : identity = multiply(X4,inverse(X4)),
inference(superposition,[],[f310,f2]) ).
fof(f272,plain,
( sk_c11 != multiply(sk_c10,inverse(sk_c10))
| spl4_32 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl4_32
<=> sk_c11 = multiply(sk_c10,inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f802,plain,
( ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f801]) ).
fof(f801,plain,
( $false
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f800,f411]) ).
fof(f800,plain,
( identity != inverse(identity)
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f799]) ).
fof(f799,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(superposition,[],[f682,f411]) ).
fof(f682,plain,
( ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != X0 )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(forward_demodulation,[],[f681,f416]) ).
fof(f681,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(forward_demodulation,[],[f680,f411]) ).
fof(f680,plain,
( ! [X0] :
( inverse(inverse(X0)) != inverse(identity)
| inverse(X0) != multiply(X0,identity) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(forward_demodulation,[],[f679,f648]) ).
fof(f679,plain,
( ! [X0] :
( inverse(inverse(X0)) != inverse(sk_c10)
| inverse(X0) != multiply(X0,identity) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(forward_demodulation,[],[f671,f411]) ).
fof(f671,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(identity))
| inverse(inverse(X0)) != inverse(sk_c10) )
| ~ spl4_9
| ~ spl4_15
| ~ spl4_33
| ~ spl4_34 ),
inference(backward_demodulation,[],[f275,f648]) ).
fof(f275,plain,
( ! [X0] :
( inverse(inverse(X0)) != inverse(sk_c10)
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl4_33
<=> ! [X0] :
( inverse(inverse(X0)) != inverse(sk_c10)
| inverse(X0) != multiply(X0,inverse(sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f693,plain,
( ~ spl4_9
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| spl4_27
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f692,plain,
( $false
| ~ spl4_9
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| spl4_27
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f691,f658]) ).
fof(f658,plain,
( identity != sk_c9
| spl4_27
| ~ spl4_34 ),
inference(forward_demodulation,[],[f251,f278]) ).
fof(f251,plain,
( sk_c11 != sk_c9
| spl4_27 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f691,plain,
( identity = sk_c9
| ~ spl4_9
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f690,f1]) ).
fof(f690,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl4_9
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f667,f685]) ).
fof(f685,plain,
( identity = sk_c4
| ~ spl4_9
| ~ spl4_10
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f676,f2]) ).
fof(f676,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl4_9
| ~ spl4_10
| ~ spl4_15
| ~ spl4_34 ),
inference(backward_demodulation,[],[f607,f648]) ).
fof(f607,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl4_10 ),
inference(superposition,[],[f309,f110]) ).
fof(f667,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl4_9
| ~ spl4_14
| ~ spl4_15
| ~ spl4_34 ),
inference(backward_demodulation,[],[f128,f648]) ).
fof(f663,plain,
( ~ spl4_9
| ~ spl4_15
| spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl4_9
| ~ spl4_15
| spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f648,f585]) ).
fof(f585,plain,
( identity != sk_c10
| spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f255,f278]) ).
fof(f255,plain,
( sk_c10 != sk_c11
| spl4_28 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f506,plain,
( spl4_4
| ~ spl4_25
| ~ spl4_27
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| spl4_4
| ~ spl4_25
| ~ spl4_27
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f504,f1]) ).
fof(f504,plain,
( identity != multiply(identity,identity)
| spl4_4
| ~ spl4_25
| ~ spl4_27
| ~ spl4_34 ),
inference(forward_demodulation,[],[f503,f481]) ).
fof(f481,plain,
( identity = sk_c10
| ~ spl4_25
| ~ spl4_27
| ~ spl4_34 ),
inference(forward_demodulation,[],[f218,f477]) ).
fof(f477,plain,
( identity = sk_c9
| ~ spl4_27
| ~ spl4_34 ),
inference(forward_demodulation,[],[f250,f278]) ).
fof(f503,plain,
( identity != multiply(sk_c10,identity)
| spl4_4
| ~ spl4_27
| ~ spl4_34 ),
inference(forward_demodulation,[],[f502,f278]) ).
fof(f502,plain,
( identity != multiply(sk_c10,sk_c11)
| spl4_4
| ~ spl4_27
| ~ spl4_34 ),
inference(forward_demodulation,[],[f81,f477]) ).
fof(f81,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| spl4_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f473,plain,
( spl4_4
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| spl4_4
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f471,f1]) ).
fof(f471,plain,
( identity != multiply(identity,identity)
| spl4_4
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f470,f338]) ).
fof(f338,plain,
( identity = sk_c10
| ~ spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f254,f278]) ).
fof(f470,plain,
( identity != multiply(sk_c10,identity)
| spl4_4
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f469,f278]) ).
fof(f469,plain,
( identity != multiply(sk_c10,sk_c11)
| spl4_4
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f81,f341]) ).
fof(f341,plain,
( identity = sk_c9
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f218,f338]) ).
fof(f455,plain,
( ~ spl4_7
| ~ spl4_25
| ~ spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f454,plain,
( $false
| ~ spl4_7
| ~ spl4_25
| ~ spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f453,f356]) ).
fof(f356,plain,
( identity = inverse(identity)
| ~ spl4_7
| ~ spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f339,f354]) ).
fof(f354,plain,
( identity = sk_c1
| ~ spl4_7
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f346,f2]) ).
fof(f346,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl4_7
| ~ spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f313,f338]) ).
fof(f313,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl4_7 ),
inference(superposition,[],[f237,f212]) ).
fof(f212,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl4_7 ),
inference(superposition,[],[f2,f95]) ).
fof(f95,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f339,plain,
( identity = inverse(sk_c1)
| ~ spl4_7
| ~ spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f95,f338]) ).
fof(f453,plain,
( identity != inverse(identity)
| ~ spl4_7
| ~ spl4_25
| ~ spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f452]) ).
fof(f452,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl4_7
| ~ spl4_25
| ~ spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(superposition,[],[f427,f356]) ).
fof(f427,plain,
( ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != X0 )
| ~ spl4_25
| ~ spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(backward_demodulation,[],[f391,f416]) ).
fof(f391,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl4_25
| ~ spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f390,f341]) ).
fof(f390,plain,
( ! [X0] :
( sk_c9 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl4_25
| ~ spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f258,f341]) ).
fof(f258,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl4_29
<=> ! [X0] :
( sk_c9 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f389,plain,
( ~ spl4_7
| ~ spl4_24
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl4_7
| ~ spl4_24
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f387,f1]) ).
fof(f387,plain,
( identity != multiply(identity,identity)
| ~ spl4_7
| ~ spl4_24
| ~ spl4_28
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl4_7
| ~ spl4_24
| ~ spl4_28
| ~ spl4_34 ),
inference(superposition,[],[f385,f356]) ).
fof(f385,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl4_24
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f384,f338]) ).
fof(f384,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl4_24
| ~ spl4_34 ),
inference(forward_demodulation,[],[f383,f278]) ).
fof(f383,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| identity != inverse(X5) )
| ~ spl4_24
| ~ spl4_34 ),
inference(forward_demodulation,[],[f204,f278]) ).
fof(f382,plain,
( ~ spl4_7
| ~ spl4_23
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl4_7
| ~ spl4_23
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f380,f1]) ).
fof(f380,plain,
( identity != multiply(identity,identity)
| ~ spl4_7
| ~ spl4_23
| ~ spl4_28
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f379]) ).
fof(f379,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl4_7
| ~ spl4_23
| ~ spl4_28
| ~ spl4_34 ),
inference(superposition,[],[f374,f356]) ).
fof(f374,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl4_23
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f373,f338]) ).
fof(f373,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl4_23
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f372,f278]) ).
fof(f372,plain,
( ! [X3] :
( sk_c11 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl4_23
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f194,f338]) ).
fof(f371,plain,
( ~ spl4_7
| ~ spl4_20
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl4_7
| ~ spl4_20
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f369,f1]) ).
fof(f369,plain,
( identity != multiply(identity,identity)
| ~ spl4_7
| ~ spl4_20
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f368]) ).
fof(f368,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl4_7
| ~ spl4_20
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(superposition,[],[f352,f356]) ).
fof(f352,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl4_20
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f349,f338]) ).
fof(f349,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c10 != multiply(X6,sk_c10) )
| ~ spl4_20
| ~ spl4_25
| ~ spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f336,f338]) ).
fof(f336,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl4_20
| ~ spl4_25 ),
inference(forward_demodulation,[],[f158,f218]) ).
fof(f330,plain,
( ~ spl4_2
| ~ spl4_7
| ~ spl4_8
| ~ spl4_21
| ~ spl4_25
| spl4_28 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl4_2
| ~ spl4_7
| ~ spl4_8
| ~ spl4_21
| ~ spl4_25
| spl4_28 ),
inference(subsumption_resolution,[],[f328,f255]) ).
fof(f328,plain,
( sk_c10 = sk_c11
| ~ spl4_2
| ~ spl4_7
| ~ spl4_8
| ~ spl4_21
| ~ spl4_25 ),
inference(backward_demodulation,[],[f100,f327]) ).
fof(f327,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl4_2
| ~ spl4_7
| ~ spl4_21
| ~ spl4_25 ),
inference(backward_demodulation,[],[f287,f322]) ).
fof(f322,plain,
( sk_c1 = sk_c2
| ~ spl4_2
| ~ spl4_7
| ~ spl4_25 ),
inference(forward_demodulation,[],[f314,f313]) ).
fof(f314,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl4_2
| ~ spl4_25 ),
inference(superposition,[],[f237,f288]) ).
fof(f288,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl4_2
| ~ spl4_25 ),
inference(backward_demodulation,[],[f211,f218]) ).
fof(f211,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl4_2 ),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl4_2
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f287,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl4_21
| ~ spl4_25 ),
inference(backward_demodulation,[],[f165,f218]) ).
fof(f165,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl4_21
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f321,plain,
( ~ spl4_7
| ~ spl4_8
| spl4_34 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl4_7
| ~ spl4_8
| spl4_34 ),
inference(subsumption_resolution,[],[f319,f279]) ).
fof(f319,plain,
( identity = sk_c11
| ~ spl4_7
| ~ spl4_8 ),
inference(forward_demodulation,[],[f312,f2]) ).
fof(f312,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl4_7
| ~ spl4_8 ),
inference(superposition,[],[f237,f281]) ).
fof(f281,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl4_7
| ~ spl4_8 ),
inference(superposition,[],[f238,f100]) ).
fof(f238,plain,
( ! [X9] : multiply(sk_c10,multiply(sk_c1,X9)) = X9
| ~ spl4_7 ),
inference(forward_demodulation,[],[f231,f1]) ).
fof(f231,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c10,multiply(sk_c1,X9))
| ~ spl4_7 ),
inference(superposition,[],[f3,f212]) ).
fof(f295,plain,
( ~ spl4_28
| ~ spl4_25
| spl4_27 ),
inference(avatar_split_clause,[],[f294,f249,f217,f253]) ).
fof(f294,plain,
( sk_c10 != sk_c11
| ~ spl4_25
| spl4_27 ),
inference(backward_demodulation,[],[f251,f218]) ).
fof(f284,plain,
( spl4_25
| ~ spl4_4
| ~ spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f283,f98,f93,f80,f217]) ).
fof(f283,plain,
( sk_c10 = sk_c9
| ~ spl4_4
| ~ spl4_7
| ~ spl4_8 ),
inference(backward_demodulation,[],[f82,f281]) ).
fof(f280,plain,
( ~ spl4_32
| spl4_33
| ~ spl4_34
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f245,f152,f277,f274,f270]) ).
fof(f152,plain,
( spl4_19
<=> ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f245,plain,
( ! [X0] :
( identity != sk_c11
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl4_19 ),
inference(superposition,[],[f153,f2]) ).
fof(f153,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f259,plain,
( ~ spl4_27
| ~ spl4_28
| spl4_29
| ~ spl4_2
| ~ spl4_19
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f247,f163,f152,f70,f257,f253,f249]) ).
fof(f247,plain,
( ! [X0] :
( sk_c9 != inverse(inverse(X0))
| sk_c10 != sk_c11
| sk_c11 != sk_c9
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl4_2
| ~ spl4_19
| ~ spl4_21 ),
inference(forward_demodulation,[],[f246,f165]) ).
fof(f246,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c11 != multiply(sk_c2,sk_c9)
| sk_c11 != sk_c9
| sk_c9 != inverse(inverse(X0)) )
| ~ spl4_2
| ~ spl4_19
| ~ spl4_21 ),
inference(forward_demodulation,[],[f243,f239]) ).
fof(f239,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl4_2
| ~ spl4_21 ),
inference(superposition,[],[f236,f165]) ).
fof(f236,plain,
( ! [X10] : multiply(sk_c9,multiply(sk_c2,X10)) = X10
| ~ spl4_2 ),
inference(forward_demodulation,[],[f232,f1]) ).
fof(f232,plain,
( ! [X10] : multiply(sk_c9,multiply(sk_c2,X10)) = multiply(identity,X10)
| ~ spl4_2 ),
inference(superposition,[],[f3,f211]) ).
fof(f243,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c11 != multiply(sk_c2,sk_c9) )
| ~ spl4_2
| ~ spl4_19 ),
inference(superposition,[],[f153,f72]) ).
fof(f226,plain,
( ~ spl4_2
| ~ spl4_11
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| ~ spl4_2
| ~ spl4_11
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f215,f165]) ).
fof(f215,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| ~ spl4_2
| ~ spl4_11 ),
inference(trivial_inequality_removal,[],[f213]) ).
fof(f213,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| sk_c9 != sk_c9
| ~ spl4_2
| ~ spl4_11 ),
inference(superposition,[],[f114,f72]) ).
fof(f210,plain,
( spl4_8
| spl4_22 ),
inference(avatar_split_clause,[],[f19,f171,f98]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f208,plain,
( spl4_4
| spl4_14 ),
inference(avatar_split_clause,[],[f6,f126,f80]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f206,plain,
( spl4_22
| spl4_7 ),
inference(avatar_split_clause,[],[f29,f93,f171]) ).
fof(f29,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f205,plain,
( spl4_17
| spl4_24 ),
inference(avatar_split_clause,[],[f63,f203,f144]) ).
fof(f144,plain,
( spl4_17
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f63,plain,
! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| sP3 ),
inference(cnf_transformation,[],[f63_D]) ).
fof(f63_D,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f200,plain,
( spl4_21
| spl4_15 ),
inference(avatar_split_clause,[],[f34,f134,f163]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f197,plain,
( spl4_7
| spl4_15 ),
inference(avatar_split_clause,[],[f24,f134,f93]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f196,plain,
( spl4_7
| spl4_1 ),
inference(avatar_split_clause,[],[f31,f66,f93]) ).
fof(f31,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f195,plain,
( spl4_16
| spl4_23 ),
inference(avatar_split_clause,[],[f57,f193,f140]) ).
fof(f140,plain,
( spl4_16
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f57,plain,
! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| sP0
| sk_c10 != inverse(X3) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f191,plain,
( spl4_4
| spl4_10 ),
inference(avatar_split_clause,[],[f7,f108,f80]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f189,plain,
( spl4_14
| spl4_8 ),
inference(avatar_split_clause,[],[f16,f98,f126]) ).
fof(f16,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f188,plain,
( spl4_9
| spl4_7 ),
inference(avatar_split_clause,[],[f25,f93,f103]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f187,plain,
( spl4_8
| spl4_1 ),
inference(avatar_split_clause,[],[f21,f66,f98]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f184,plain,
( spl4_13
| spl4_8 ),
inference(avatar_split_clause,[],[f22,f98,f121]) ).
fof(f22,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f183,plain,
( spl4_13
| spl4_7 ),
inference(avatar_split_clause,[],[f32,f93,f121]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f180,plain,
( spl4_2
| spl4_9 ),
inference(avatar_split_clause,[],[f45,f103,f70]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f179,plain,
( spl4_15
| spl4_8 ),
inference(avatar_split_clause,[],[f14,f98,f134]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f169,plain,
( spl4_2
| spl4_15 ),
inference(avatar_split_clause,[],[f44,f134,f70]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f166,plain,
( spl4_21
| spl4_9 ),
inference(avatar_split_clause,[],[f35,f103,f163]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f161,plain,
( spl4_9
| spl4_4 ),
inference(avatar_split_clause,[],[f5,f80,f103]) ).
fof(f5,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f160,plain,
( spl4_8
| spl4_6 ),
inference(avatar_split_clause,[],[f18,f89,f98]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f159,plain,
( spl4_20
| spl4_18 ),
inference(avatar_split_clause,[],[f59,f148,f157]) ).
fof(f148,plain,
( spl4_18
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f59,plain,
! [X6] :
( sP1
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f155,plain,
( spl4_5
| spl4_8 ),
inference(avatar_split_clause,[],[f23,f98,f84]) ).
fof(f23,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f154,plain,
( ~ spl4_16
| ~ spl4_12
| ~ spl4_17
| ~ spl4_18
| ~ spl4_4
| spl4_19 ),
inference(avatar_split_clause,[],[f64,f152,f80,f148,f144,f116,f140]) ).
fof(f116,plain,
( spl4_12
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f64,plain,
! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| ~ sP1
| ~ sP3
| sk_c11 != multiply(inverse(X7),sk_c10)
| ~ sP2
| ~ sP0 ),
inference(general_splitting,[],[f62,f63_D]) ).
fof(f62,plain,
! [X9,X7,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X5,sk_c11)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(X7),sk_c10)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f60,f61_D]) ).
fof(f61,plain,
! [X4] :
( sP2
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ),
inference(cnf_transformation,[],[f61_D]) ).
fof(f61_D,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f60,plain,
! [X9,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c11)
| sk_c9 != inverse(X4)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(X7),sk_c10)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f58,plain,
! [X6,X9,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c11)
| sk_c9 != inverse(X4)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(inverse(X7),sk_c10)
| ~ sP0 ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X3,sk_c10)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c11)
| sk_c9 != inverse(X4)
| sk_c10 != inverse(X3)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(inverse(X7),sk_c10) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X3,sk_c10)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c11)
| sk_c9 != inverse(X4)
| inverse(X7) != X8
| sk_c10 != inverse(X3)
| inverse(X9) != multiply(X9,X8)
| sk_c11 != inverse(X5)
| inverse(inverse(X9)) != X8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(X8,sk_c10) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X3,sk_c10)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X4,sk_c9)
| inverse(X9) != X10
| sk_c10 != multiply(X5,sk_c11)
| sk_c9 != inverse(X4)
| inverse(X7) != X8
| sk_c10 != inverse(X3)
| multiply(X9,X8) != X10
| sk_c11 != inverse(X5)
| inverse(X10) != X8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(X8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f137,plain,
( spl4_15
| spl4_4 ),
inference(avatar_split_clause,[],[f4,f80,f134]) ).
fof(f4,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f132,plain,
( spl4_5
| spl4_7 ),
inference(avatar_split_clause,[],[f33,f93,f84]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f119,plain,
( spl4_11
| spl4_12 ),
inference(avatar_split_clause,[],[f61,f116,f113]) ).
fof(f111,plain,
( spl4_10
| spl4_8 ),
inference(avatar_split_clause,[],[f17,f98,f108]) ).
fof(f17,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f106,plain,
( spl4_8
| spl4_9 ),
inference(avatar_split_clause,[],[f15,f103,f98]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f96,plain,
( spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f28,f93,f89]) ).
fof(f28,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP330-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:45:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (1716)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (1711)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (1729)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (1735)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (1715)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (1714)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (1721)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (1722)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (1720)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (1737)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (1718)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (1726)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (1724)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (1739)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (1712)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (1734)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (1741)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (1713)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (1743)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (1732)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (1717)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (1723)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (1718)Instruction limit reached!
% 0.19/0.53 % (1718)------------------------------
% 0.19/0.53 % (1718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1718)Termination reason: Unknown
% 0.19/0.53 % (1718)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1718)Memory used [KB]: 5500
% 0.19/0.53 % (1718)Time elapsed: 0.004 s
% 0.19/0.53 % (1718)Instructions burned: 3 (million)
% 0.19/0.53 % (1718)------------------------------
% 0.19/0.53 % (1718)------------------------------
% 0.19/0.53 % (1740)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (1736)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (1744)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (1731)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (1733)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (1710)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54 % (1717)Instruction limit reached!
% 0.19/0.54 % (1717)------------------------------
% 0.19/0.54 % (1717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (1717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (1717)Termination reason: Unknown
% 0.19/0.54 % (1717)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (1717)Memory used [KB]: 5628
% 0.19/0.54 % (1717)Time elapsed: 0.101 s
% 0.19/0.54 % (1717)Instructions burned: 8 (million)
% 0.19/0.54 % (1717)------------------------------
% 0.19/0.54 % (1717)------------------------------
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (1742)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.52/0.55 % (1719)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.56 TRYING [3]
% 1.52/0.56 TRYING [4]
% 1.52/0.57 TRYING [3]
% 1.52/0.57 TRYING [1]
% 1.52/0.57 TRYING [2]
% 1.69/0.57 % (1711)Instruction limit reached!
% 1.69/0.57 % (1711)------------------------------
% 1.69/0.57 % (1711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57 % (1711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57 % (1711)Termination reason: Unknown
% 1.69/0.57 % (1711)Termination phase: Saturation
% 1.69/0.57
% 1.69/0.57 % (1711)Memory used [KB]: 6268
% 1.69/0.57 % (1711)Time elapsed: 0.164 s
% 1.69/0.57 % (1711)Instructions burned: 50 (million)
% 1.69/0.57 % (1711)------------------------------
% 1.69/0.57 % (1711)------------------------------
% 1.69/0.58 % (1712)Instruction limit reached!
% 1.69/0.58 % (1712)------------------------------
% 1.69/0.58 % (1712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (1712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (1712)Termination reason: Unknown
% 1.69/0.58 % (1712)Termination phase: Saturation
% 1.69/0.58
% 1.69/0.58 % (1712)Memory used [KB]: 1279
% 1.69/0.58 % (1712)Time elapsed: 0.165 s
% 1.69/0.58 % (1712)Instructions burned: 39 (million)
% 1.69/0.58 % (1712)------------------------------
% 1.69/0.58 % (1712)------------------------------
% 1.69/0.59 TRYING [3]
% 1.69/0.59 % (1716)Instruction limit reached!
% 1.69/0.59 % (1716)------------------------------
% 1.69/0.59 % (1716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (1716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (1716)Termination reason: Unknown
% 1.69/0.59 % (1716)Termination phase: Finite model building constraint generation
% 1.69/0.59
% 1.69/0.59 % (1716)Memory used [KB]: 6780
% 1.69/0.59 % (1716)Time elapsed: 0.151 s
% 1.69/0.59 % (1716)Instructions burned: 51 (million)
% 1.69/0.59 % (1716)------------------------------
% 1.69/0.59 % (1716)------------------------------
% 1.69/0.59 % (1735)First to succeed.
% 1.69/0.59 TRYING [4]
% 1.69/0.60 % (1735)Refutation found. Thanks to Tanya!
% 1.69/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.69/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.60 % (1735)------------------------------
% 1.69/0.60 % (1735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (1735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (1735)Termination reason: Refutation
% 1.69/0.60
% 1.69/0.60 % (1735)Memory used [KB]: 5884
% 1.69/0.60 % (1735)Time elapsed: 0.206 s
% 1.69/0.60 % (1735)Instructions burned: 35 (million)
% 1.69/0.60 % (1735)------------------------------
% 1.69/0.60 % (1735)------------------------------
% 1.69/0.60 % (1706)Success in time 0.242 s
%------------------------------------------------------------------------------