TSTP Solution File: GRP254-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP254-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:03 EDT 2022
% Result : Unsatisfiable 1.59s 0.61s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 76
% Syntax : Number of formulae : 298 ( 6 unt; 0 def)
% Number of atoms : 1012 ( 389 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1376 ( 662 ~; 674 |; 0 &)
% ( 40 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 41 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1034,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f93,f112,f117,f141,f152,f155,f157,f158,f169,f170,f171,f172,f173,f174,f175,f178,f180,f181,f183,f184,f192,f194,f195,f198,f200,f201,f203,f208,f214,f222,f224,f225,f226,f229,f233,f234,f235,f247,f265,f279,f326,f377,f383,f415,f427,f478,f523,f543,f641,f685,f758,f782,f837,f865,f915,f957,f1017,f1029]) ).
fof(f1029,plain,
( ~ spl5_6
| ~ spl5_30
| spl5_31
| ~ spl5_36 ),
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| ~ spl5_6
| ~ spl5_30
| spl5_31
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f1027,f911]) ).
fof(f911,plain,
( identity = inverse(identity)
| ~ spl5_6
| ~ spl5_30 ),
inference(backward_demodulation,[],[f645,f903]) ).
fof(f903,plain,
( identity = sk_c5
| ~ spl5_6
| ~ spl5_30 ),
inference(superposition,[],[f656,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f656,plain,
( identity = multiply(identity,sk_c5)
| ~ spl5_6
| ~ spl5_30 ),
inference(backward_demodulation,[],[f585,f273]) ).
fof(f273,plain,
( identity = sk_c11
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl5_30
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f585,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl5_6 ),
inference(superposition,[],[f2,f101]) ).
fof(f101,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl5_6
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f645,plain,
( identity = inverse(sk_c5)
| ~ spl5_6
| ~ spl5_30 ),
inference(backward_demodulation,[],[f101,f273]) ).
fof(f1027,plain,
( identity != inverse(identity)
| ~ spl5_6
| ~ spl5_30
| spl5_31
| ~ spl5_36 ),
inference(forward_demodulation,[],[f1026,f911]) ).
fof(f1026,plain,
( identity != inverse(inverse(identity))
| spl5_31
| ~ spl5_36 ),
inference(forward_demodulation,[],[f278,f321]) ).
fof(f321,plain,
( identity = sk_c12
| ~ spl5_36 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl5_36
<=> identity = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f278,plain,
( sk_c12 != inverse(inverse(sk_c12))
| spl5_31 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl5_31
<=> sk_c12 = inverse(inverse(sk_c12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f1017,plain,
( ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1016,plain,
( $false
| ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f1015,f911]) ).
fof(f1015,plain,
( identity != inverse(identity)
| ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(forward_demodulation,[],[f1014,f911]) ).
fof(f1014,plain,
( identity != inverse(inverse(identity))
| ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f1010,f911]) ).
fof(f1010,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(superposition,[],[f1007,f2]) ).
fof(f1007,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f982,f1]) ).
fof(f982,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(duplicate_literal_removal,[],[f978]) ).
fof(f978,plain,
( ! [X0] :
( identity != inverse(multiply(X0,identity))
| identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity) )
| ~ spl5_6
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(superposition,[],[f967,f911]) ).
fof(f967,plain,
( ! [X10,X8] :
( identity != multiply(inverse(X8),identity)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| identity != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(forward_demodulation,[],[f966,f321]) ).
fof(f966,plain,
( ! [X10,X8] :
( identity != multiply(X8,inverse(X8))
| sk_c12 != multiply(inverse(X8),identity)
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8))) )
| ~ spl5_24
| ~ spl5_30
| ~ spl5_36 ),
inference(forward_demodulation,[],[f965,f321]) ).
fof(f965,plain,
( ! [X10,X8] :
( sk_c12 != multiply(X8,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(inverse(X8),identity)
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl5_24
| ~ spl5_30 ),
inference(forward_demodulation,[],[f221,f273]) ).
fof(f221,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(X8,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8))) )
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl5_24
<=> ! [X8,X10] :
( inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(X8,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f957,plain,
( ~ spl5_6
| spl5_29
| ~ spl5_30 ),
inference(avatar_contradiction_clause,[],[f956]) ).
fof(f956,plain,
( $false
| ~ spl5_6
| spl5_29
| ~ spl5_30 ),
inference(subsumption_resolution,[],[f955,f911]) ).
fof(f955,plain,
( identity != inverse(identity)
| ~ spl5_6
| spl5_29
| ~ spl5_30 ),
inference(forward_demodulation,[],[f919,f911]) ).
fof(f919,plain,
( identity != inverse(inverse(identity))
| spl5_29
| ~ spl5_30 ),
inference(forward_demodulation,[],[f264,f273]) ).
fof(f264,plain,
( sk_c11 != inverse(inverse(sk_c11))
| spl5_29 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl5_29
<=> sk_c11 = inverse(inverse(sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f915,plain,
( ~ spl5_6
| ~ spl5_17
| spl5_28
| ~ spl5_30 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| ~ spl5_6
| ~ spl5_17
| spl5_28
| ~ spl5_30 ),
inference(subsumption_resolution,[],[f913,f260]) ).
fof(f260,plain,
( identity != sk_c10
| spl5_28 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl5_28
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f913,plain,
( identity = sk_c10
| ~ spl5_6
| ~ spl5_17
| ~ spl5_30 ),
inference(forward_demodulation,[],[f909,f1]) ).
fof(f909,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl5_6
| ~ spl5_17
| ~ spl5_30 ),
inference(backward_demodulation,[],[f686,f903]) ).
fof(f686,plain,
( sk_c10 = multiply(sk_c5,identity)
| ~ spl5_17
| ~ spl5_30 ),
inference(forward_demodulation,[],[f162,f273]) ).
fof(f162,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl5_17
<=> multiply(sk_c5,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f865,plain,
( ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30
| ~ spl5_36
| spl5_46 ),
inference(avatar_contradiction_clause,[],[f864]) ).
fof(f864,plain,
( $false
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30
| ~ spl5_36
| spl5_46 ),
inference(subsumption_resolution,[],[f859,f753]) ).
fof(f753,plain,
( identity != sk_c9
| spl5_46 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl5_46
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f859,plain,
( identity = sk_c9
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30
| ~ spl5_36 ),
inference(backward_demodulation,[],[f814,f321]) ).
fof(f814,plain,
( sk_c12 = sk_c9
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f728,f812]) ).
fof(f812,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f590,f808]) ).
fof(f808,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f804,f807]) ).
fof(f807,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f727,f804]) ).
fof(f727,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c12,X0)) = multiply(sk_c12,X0)
| ~ spl5_3
| ~ spl5_14
| ~ spl5_30 ),
inference(forward_demodulation,[],[f726,f667]) ).
fof(f667,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c12,X0)
| ~ spl5_3
| ~ spl5_30 ),
inference(forward_demodulation,[],[f658,f1]) ).
fof(f658,plain,
( ! [X0] : multiply(sk_c9,multiply(identity,X0)) = multiply(sk_c12,X0)
| ~ spl5_3
| ~ spl5_30 ),
inference(backward_demodulation,[],[f636,f273]) ).
fof(f636,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c11,X0)) = multiply(sk_c12,X0)
| ~ spl5_3 ),
inference(superposition,[],[f3,f88]) ).
fof(f88,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl5_3
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
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(f726,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sk_c12,X0)
| ~ spl5_14 ),
inference(superposition,[],[f3,f140]) ).
fof(f140,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl5_14
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f804,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c12,X0)) = X0
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f779,f797]) ).
fof(f797,plain,
( sk_c6 = sk_c7
| ~ spl5_8
| ~ spl5_18 ),
inference(backward_demodulation,[],[f792,f795]) ).
fof(f795,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl5_18 ),
inference(superposition,[],[f307,f591]) ).
fof(f591,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl5_18 ),
inference(superposition,[],[f2,f168]) ).
fof(f168,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl5_18
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f307,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f298,f1]) ).
fof(f298,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f792,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl5_8 ),
inference(superposition,[],[f307,f589]) ).
fof(f589,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl5_8 ),
inference(superposition,[],[f2,f111]) ).
fof(f111,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl5_8
<=> sk_c9 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f779,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c12,X0)) = X0
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_30 ),
inference(backward_demodulation,[],[f586,f776]) ).
fof(f776,plain,
( sk_c12 = sk_c8
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_30 ),
inference(forward_demodulation,[],[f775,f642]) ).
fof(f642,plain,
( sk_c12 = multiply(sk_c9,identity)
| ~ spl5_3
| ~ spl5_30 ),
inference(backward_demodulation,[],[f88,f273]) ).
fof(f775,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl5_7
| ~ spl5_8 ),
inference(forward_demodulation,[],[f773,f111]) ).
fof(f773,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl5_7 ),
inference(superposition,[],[f307,f587]) ).
fof(f587,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl5_7 ),
inference(superposition,[],[f2,f106]) ).
fof(f106,plain,
( inverse(sk_c8) = sk_c7
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl5_7
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f586,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl5_7 ),
inference(superposition,[],[f307,f106]) ).
fof(f590,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl5_18 ),
inference(superposition,[],[f307,f168]) ).
fof(f728,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl5_14
| ~ spl5_18 ),
inference(forward_demodulation,[],[f725,f168]) ).
fof(f725,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c12)
| ~ spl5_14 ),
inference(superposition,[],[f307,f140]) ).
fof(f837,plain,
( ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30
| spl5_36 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30
| spl5_36 ),
inference(subsumption_resolution,[],[f835,f322]) ).
fof(f322,plain,
( identity != sk_c12
| spl5_36 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f835,plain,
( identity = sk_c12
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30 ),
inference(forward_demodulation,[],[f834,f807]) ).
fof(f834,plain,
( sk_c12 = multiply(sk_c12,identity)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30 ),
inference(forward_demodulation,[],[f833,f831]) ).
fof(f831,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f816,f828]) ).
fof(f828,plain,
( sk_c12 = sk_c6
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30 ),
inference(forward_demodulation,[],[f827,f814]) ).
fof(f827,plain,
( sk_c6 = sk_c9
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30 ),
inference(forward_demodulation,[],[f801,f808]) ).
fof(f801,plain,
( sk_c9 = multiply(sk_c6,sk_c6)
| ~ spl5_7
| ~ spl5_8
| ~ spl5_16
| ~ spl5_18 ),
inference(backward_demodulation,[],[f599,f797]) ).
fof(f599,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl5_7
| ~ spl5_16 ),
inference(forward_demodulation,[],[f597,f106]) ).
fof(f597,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl5_16 ),
inference(superposition,[],[f307,f151]) ).
fof(f151,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl5_16
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f816,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f168,f814]) ).
fof(f833,plain,
( sk_c12 = multiply(inverse(sk_c12),identity)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_16
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f819,f828]) ).
fof(f819,plain,
( sk_c6 = multiply(inverse(sk_c12),identity)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_14
| ~ spl5_18
| ~ spl5_30 ),
inference(backward_demodulation,[],[f795,f814]) ).
fof(f782,plain,
( spl5_47
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f778,f272,f109,f104,f86,f755]) ).
fof(f755,plain,
( spl5_47
<=> identity = multiply(sk_c7,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f778,plain,
( identity = multiply(sk_c7,sk_c12)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_8
| ~ spl5_30 ),
inference(backward_demodulation,[],[f587,f776]) ).
fof(f758,plain,
( ~ spl5_46
| ~ spl5_47
| ~ spl5_8
| ~ spl5_25
| ~ spl5_28 ),
inference(avatar_split_clause,[],[f747,f258,f231,f109,f755,f751]) ).
fof(f231,plain,
( spl5_25
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f747,plain,
( identity != multiply(sk_c7,sk_c12)
| identity != sk_c9
| ~ spl5_8
| ~ spl5_25
| ~ spl5_28 ),
inference(superposition,[],[f697,f111]) ).
fof(f697,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,sk_c12) )
| ~ spl5_25
| ~ spl5_28 ),
inference(forward_demodulation,[],[f690,f259]) ).
fof(f259,plain,
( identity = sk_c10
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f690,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| identity != inverse(X5) )
| ~ spl5_25
| ~ spl5_28 ),
inference(backward_demodulation,[],[f232,f259]) ).
fof(f232,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| sk_c10 != inverse(X5) )
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f685,plain,
( spl5_28
| ~ spl5_4
| ~ spl5_9
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f684,f272,f114,f90,f258]) ).
fof(f90,plain,
( spl5_4
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f114,plain,
( spl5_9
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f684,plain,
( identity = sk_c10
| ~ spl5_4
| ~ spl5_9
| ~ spl5_30 ),
inference(forward_demodulation,[],[f683,f1]) ).
fof(f683,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl5_4
| ~ spl5_9
| ~ spl5_30 ),
inference(forward_demodulation,[],[f682,f660]) ).
fof(f660,plain,
( identity = sk_c2
| ~ spl5_4
| ~ spl5_30 ),
inference(forward_demodulation,[],[f653,f2]) ).
fof(f653,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl5_4
| ~ spl5_30 ),
inference(backward_demodulation,[],[f370,f273]) ).
fof(f370,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl5_4 ),
inference(superposition,[],[f307,f239]) ).
fof(f239,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl5_4 ),
inference(superposition,[],[f2,f92]) ).
fof(f92,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f682,plain,
( sk_c10 = multiply(sk_c2,identity)
| ~ spl5_9
| ~ spl5_30 ),
inference(forward_demodulation,[],[f116,f273]) ).
fof(f116,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f641,plain,
( ~ spl5_11
| ~ spl5_12
| spl5_41 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl5_11
| ~ spl5_12
| spl5_41 ),
inference(subsumption_resolution,[],[f639,f343]) ).
fof(f343,plain,
( sk_c12 != multiply(sk_c12,sk_c11)
| spl5_41 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl5_41
<=> sk_c12 = multiply(sk_c12,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f639,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl5_11
| ~ spl5_12 ),
inference(forward_demodulation,[],[f637,f125]) ).
fof(f125,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl5_11
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f637,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c11)
| ~ spl5_12 ),
inference(superposition,[],[f307,f130]) ).
fof(f130,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl5_12
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f543,plain,
( ~ spl5_4
| ~ spl5_30
| spl5_31
| ~ spl5_36 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| ~ spl5_4
| ~ spl5_30
| spl5_31
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f541,f411]) ).
fof(f411,plain,
( identity = inverse(identity)
| ~ spl5_4
| ~ spl5_30 ),
inference(forward_demodulation,[],[f384,f401]) ).
fof(f401,plain,
( identity = sk_c2
| ~ spl5_4
| ~ spl5_30 ),
inference(forward_demodulation,[],[f395,f2]) ).
fof(f395,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl5_4
| ~ spl5_30 ),
inference(backward_demodulation,[],[f370,f273]) ).
fof(f384,plain,
( identity = inverse(sk_c2)
| ~ spl5_4
| ~ spl5_30 ),
inference(backward_demodulation,[],[f92,f273]) ).
fof(f541,plain,
( identity != inverse(identity)
| ~ spl5_4
| ~ spl5_30
| spl5_31
| ~ spl5_36 ),
inference(forward_demodulation,[],[f540,f411]) ).
fof(f540,plain,
( identity != inverse(inverse(identity))
| spl5_31
| ~ spl5_36 ),
inference(forward_demodulation,[],[f278,f321]) ).
fof(f523,plain,
( ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(subsumption_resolution,[],[f521,f411]) ).
fof(f521,plain,
( identity != inverse(identity)
| ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(forward_demodulation,[],[f520,f411]) ).
fof(f520,plain,
( identity != inverse(inverse(identity))
| ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(subsumption_resolution,[],[f516,f411]) ).
fof(f516,plain,
( identity != inverse(identity)
| identity != inverse(inverse(identity))
| ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(superposition,[],[f489,f2]) ).
fof(f489,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(forward_demodulation,[],[f488,f411]) ).
fof(f488,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(identity))
| identity != inverse(multiply(X0,identity)) )
| ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(forward_demodulation,[],[f487,f273]) ).
fof(f487,plain,
( ! [X0] :
( identity != inverse(multiply(X0,identity))
| inverse(X0) != multiply(X0,inverse(sk_c11)) )
| ~ spl5_4
| ~ spl5_30
| ~ spl5_37 ),
inference(forward_demodulation,[],[f486,f411]) ).
fof(f486,plain,
( ! [X0] :
( inverse(identity) != inverse(multiply(X0,inverse(identity)))
| inverse(X0) != multiply(X0,inverse(sk_c11)) )
| ~ spl5_30
| ~ spl5_37 ),
inference(forward_demodulation,[],[f325,f273]) ).
fof(f325,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11))) )
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl5_37
<=> ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f478,plain,
( ~ spl5_4
| ~ spl5_25
| ~ spl5_28
| ~ spl5_30
| ~ spl5_36 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl5_4
| ~ spl5_25
| ~ spl5_28
| ~ spl5_30
| ~ spl5_36 ),
inference(subsumption_resolution,[],[f476,f1]) ).
fof(f476,plain,
( identity != multiply(identity,identity)
| ~ spl5_4
| ~ spl5_25
| ~ spl5_28
| ~ spl5_30
| ~ spl5_36 ),
inference(trivial_inequality_removal,[],[f475]) ).
fof(f475,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl5_4
| ~ spl5_25
| ~ spl5_28
| ~ spl5_30
| ~ spl5_36 ),
inference(superposition,[],[f462,f411]) ).
fof(f462,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl5_25
| ~ spl5_28
| ~ spl5_36 ),
inference(backward_demodulation,[],[f448,f321]) ).
fof(f448,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,sk_c12) )
| ~ spl5_25
| ~ spl5_28 ),
inference(forward_demodulation,[],[f447,f259]) ).
fof(f447,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| identity != inverse(X5) )
| ~ spl5_25
| ~ spl5_28 ),
inference(forward_demodulation,[],[f232,f259]) ).
fof(f427,plain,
( spl5_36
| ~ spl5_10
| ~ spl5_13
| ~ spl5_28 ),
inference(avatar_split_clause,[],[f426,f258,f134,f119,f320]) ).
fof(f119,plain,
( spl5_10
<=> sk_c10 = multiply(sk_c3,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f134,plain,
( spl5_13
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f426,plain,
( identity = sk_c12
| ~ spl5_10
| ~ spl5_13
| ~ spl5_28 ),
inference(forward_demodulation,[],[f423,f1]) ).
fof(f423,plain,
( sk_c12 = multiply(identity,identity)
| ~ spl5_10
| ~ spl5_13
| ~ spl5_28 ),
inference(backward_demodulation,[],[f375,f259]) ).
fof(f375,plain,
( sk_c12 = multiply(sk_c10,sk_c10)
| ~ spl5_10
| ~ spl5_13 ),
inference(forward_demodulation,[],[f373,f136]) ).
fof(f136,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f373,plain,
( sk_c12 = multiply(inverse(sk_c3),sk_c10)
| ~ spl5_10 ),
inference(superposition,[],[f307,f121]) ).
fof(f121,plain,
( sk_c10 = multiply(sk_c3,sk_c12)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f415,plain,
( ~ spl5_36
| ~ spl5_4
| ~ spl5_30
| spl5_35 ),
inference(avatar_split_clause,[],[f414,f316,f272,f90,f320]) ).
fof(f316,plain,
( spl5_35
<=> sk_c12 = multiply(sk_c11,inverse(sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f414,plain,
( identity != sk_c12
| ~ spl5_4
| ~ spl5_30
| spl5_35 ),
inference(forward_demodulation,[],[f413,f1]) ).
fof(f413,plain,
( sk_c12 != multiply(identity,identity)
| ~ spl5_4
| ~ spl5_30
| spl5_35 ),
inference(forward_demodulation,[],[f393,f411]) ).
fof(f393,plain,
( sk_c12 != multiply(identity,inverse(identity))
| ~ spl5_30
| spl5_35 ),
inference(backward_demodulation,[],[f318,f273]) ).
fof(f318,plain,
( sk_c12 != multiply(sk_c11,inverse(sk_c11))
| spl5_35 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f383,plain,
( spl5_30
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f382,f341,f272]) ).
fof(f382,plain,
( identity = sk_c11
| ~ spl5_41 ),
inference(forward_demodulation,[],[f380,f2]) ).
fof(f380,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl5_41 ),
inference(superposition,[],[f307,f342]) ).
fof(f342,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f377,plain,
( spl5_41
| ~ spl5_5
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f376,f144,f95,f341]) ).
fof(f95,plain,
( spl5_5
<=> multiply(sk_c1,sk_c12) = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f144,plain,
( spl5_15
<=> sk_c12 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f376,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl5_5
| ~ spl5_15 ),
inference(forward_demodulation,[],[f368,f146]) ).
fof(f146,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f368,plain,
( sk_c12 = multiply(inverse(sk_c1),sk_c11)
| ~ spl5_5 ),
inference(superposition,[],[f307,f97]) ).
fof(f97,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f326,plain,
( ~ spl5_35
| ~ spl5_36
| spl5_37
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f314,f220,f324,f320,f316]) ).
fof(f314,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11)))
| identity != sk_c12
| sk_c12 != multiply(sk_c11,inverse(sk_c11)) )
| ~ spl5_24 ),
inference(superposition,[],[f221,f2]) ).
fof(f279,plain,
( ~ spl5_30
| ~ spl5_31
| ~ spl5_20 ),
inference(avatar_split_clause,[],[f267,f190,f276,f272]) ).
fof(f190,plain,
( spl5_20
<=> ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f267,plain,
( sk_c12 != inverse(inverse(sk_c12))
| identity != sk_c11
| ~ spl5_20 ),
inference(superposition,[],[f191,f2]) ).
fof(f191,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) )
| ~ spl5_20 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f265,plain,
( ~ spl5_28
| ~ spl5_29
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f243,f82,f262,f258]) ).
fof(f82,plain,
( spl5_2
<=> ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f243,plain,
( sk_c11 != inverse(inverse(sk_c11))
| identity != sk_c10
| ~ spl5_2 ),
inference(superposition,[],[f83,f2]) ).
fof(f83,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f247,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| ~ spl5_2
| ~ spl5_4
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f245,f92]) ).
fof(f245,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl5_2
| ~ spl5_9 ),
inference(trivial_inequality_removal,[],[f244]) ).
fof(f244,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c2)
| ~ spl5_2
| ~ spl5_9 ),
inference(superposition,[],[f83,f116]) ).
fof(f235,plain,
( spl5_4
| spl5_17 ),
inference(avatar_split_clause,[],[f36,f160,f90]) ).
fof(f36,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f234,plain,
( spl5_14
| spl5_4 ),
inference(avatar_split_clause,[],[f38,f90,f138]) ).
fof(f38,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f233,plain,
( spl5_23
| spl5_25 ),
inference(avatar_split_clause,[],[f75,f231,f216]) ).
fof(f216,plain,
( spl5_23
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f75,plain,
! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| sk_c10 != inverse(X5)
| sP4 ),
inference(cnf_transformation,[],[f75_D]) ).
fof(f75_D,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| sk_c10 != inverse(X5) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f229,plain,
( spl5_15
| spl5_11 ),
inference(avatar_split_clause,[],[f15,f123,f144]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f226,plain,
( spl5_9
| spl5_18 ),
inference(avatar_split_clause,[],[f29,f166,f114]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f225,plain,
( spl5_5
| spl5_12 ),
inference(avatar_split_clause,[],[f4,f128,f95]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f224,plain,
( spl5_13
| spl5_3 ),
inference(avatar_split_clause,[],[f50,f86,f134]) ).
fof(f50,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f222,plain,
( ~ spl5_22
| ~ spl5_1
| ~ spl5_19
| ~ spl5_21
| ~ spl5_23
| spl5_24 ),
inference(avatar_split_clause,[],[f76,f220,f216,f205,f186,f78,f211]) ).
fof(f211,plain,
( spl5_22
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f78,plain,
( spl5_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f186,plain,
( spl5_19
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f205,plain,
( spl5_21
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f76,plain,
! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(X8))
| ~ sP4
| ~ sP3
| ~ sP1
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c12 != multiply(X8,inverse(X8))
| ~ sP2
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| ~ sP0 ),
inference(general_splitting,[],[f74,f75_D]) ).
fof(f74,plain,
! [X10,X8,X5] :
( sk_c12 != multiply(X8,inverse(X8))
| sk_c10 != inverse(X5)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| inverse(X10) != multiply(X10,inverse(X8))
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f72,f73_D]) ).
fof(f73,plain,
! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sP3 ),
inference(cnf_transformation,[],[f73_D]) ).
fof(f73_D,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f72,plain,
! [X10,X8,X4,X5] :
( sk_c12 != multiply(X8,inverse(X8))
| sk_c10 != inverse(X5)
| sk_c10 != multiply(X4,sk_c11)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c11 != inverse(X4)
| inverse(X10) != multiply(X10,inverse(X8))
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f70,f71_D]) ).
fof(f71,plain,
! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sP2 ),
inference(cnf_transformation,[],[f71_D]) ).
fof(f71_D,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f70,plain,
! [X10,X8,X7,X4,X5] :
( sk_c12 != multiply(X8,inverse(X8))
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X4,sk_c11)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c11 != inverse(X4)
| inverse(X10) != multiply(X10,inverse(X8))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f68,f69_D]) ).
fof(f69,plain,
! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sP1
| sk_c12 != inverse(X6) ),
inference(cnf_transformation,[],[f69_D]) ).
fof(f69_D,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f68,plain,
! [X10,X8,X6,X7,X4,X5] :
( sk_c12 != multiply(X8,inverse(X8))
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X4,sk_c11)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X4)
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c11 != multiply(X6,sk_c12)
| ~ sP0 ),
inference(general_splitting,[],[f66,f67_D]) ).
fof(f67,plain,
! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sP0
| sk_c12 != inverse(X3) ),
inference(cnf_transformation,[],[f67_D]) ).
fof(f67_D,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f66,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c12 != multiply(X8,inverse(X8))
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X5,sk_c12)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X4)
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c11 != multiply(X6,sk_c12) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X11,X8,X6,X7,X4,X5] :
( sk_c12 != multiply(X8,inverse(X8))
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| inverse(X8) != inverse(X11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c12 != inverse(X3)
| multiply(X10,inverse(X8)) != X11
| sk_c10 != multiply(X5,sk_c12)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X4)
| inverse(X10) != X11
| sk_c11 != multiply(X6,sk_c12) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X8,X9)
| sk_c10 != inverse(X5)
| inverse(X8) != X9
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| inverse(X11) != X9
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != inverse(X3)
| multiply(X10,X9) != X11
| sk_c10 != multiply(X5,sk_c12)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X4)
| inverse(X10) != X11
| sk_c11 != multiply(X6,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f214,plain,
( spl5_22
| spl5_20 ),
inference(avatar_split_clause,[],[f67,f190,f211]) ).
fof(f208,plain,
( spl5_21
| spl5_2 ),
inference(avatar_split_clause,[],[f73,f82,f205]) ).
fof(f203,plain,
( spl5_13
| spl5_16 ),
inference(avatar_split_clause,[],[f53,f149,f134]) ).
fof(f53,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f201,plain,
( spl5_17
| spl5_9 ),
inference(avatar_split_clause,[],[f26,f114,f160]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f200,plain,
( spl5_10
| spl5_8 ),
inference(avatar_split_clause,[],[f62,f109,f119]) ).
fof(f62,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f198,plain,
( spl5_7
| spl5_10 ),
inference(avatar_split_clause,[],[f61,f119,f104]) ).
fof(f61,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f195,plain,
( spl5_16
| spl5_10 ),
inference(avatar_split_clause,[],[f63,f119,f149]) ).
fof(f63,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f194,plain,
( spl5_9
| spl5_6 ),
inference(avatar_split_clause,[],[f27,f99,f114]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f192,plain,
( spl5_19
| spl5_20 ),
inference(avatar_split_clause,[],[f69,f190,f186]) ).
fof(f184,plain,
( spl5_9
| spl5_16 ),
inference(avatar_split_clause,[],[f33,f149,f114]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f183,plain,
( spl5_13
| spl5_7 ),
inference(avatar_split_clause,[],[f51,f104,f134]) ).
fof(f51,axiom,
( inverse(sk_c8) = sk_c7
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f181,plain,
( spl5_11
| spl5_5 ),
inference(avatar_split_clause,[],[f5,f95,f123]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f180,plain,
( spl5_10
| spl5_18 ),
inference(avatar_split_clause,[],[f59,f166,f119]) ).
fof(f59,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f178,plain,
( spl5_14
| spl5_10 ),
inference(avatar_split_clause,[],[f58,f119,f138]) ).
fof(f58,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f175,plain,
( spl5_6
| spl5_4 ),
inference(avatar_split_clause,[],[f37,f90,f99]) ).
fof(f37,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f174,plain,
( spl5_4
| spl5_18 ),
inference(avatar_split_clause,[],[f39,f166,f90]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f173,plain,
( spl5_13
| spl5_8 ),
inference(avatar_split_clause,[],[f52,f109,f134]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f172,plain,
( spl5_9
| spl5_8 ),
inference(avatar_split_clause,[],[f32,f109,f114]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f171,plain,
( spl5_9
| spl5_7 ),
inference(avatar_split_clause,[],[f31,f104,f114]) ).
fof(f31,axiom,
( inverse(sk_c8) = sk_c7
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f170,plain,
( spl5_12
| spl5_15 ),
inference(avatar_split_clause,[],[f14,f144,f128]) ).
fof(f14,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f169,plain,
( spl5_13
| spl5_18 ),
inference(avatar_split_clause,[],[f49,f166,f134]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f158,plain,
( spl5_14
| spl5_9 ),
inference(avatar_split_clause,[],[f28,f114,f138]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f157,plain,
( spl5_7
| spl5_4 ),
inference(avatar_split_clause,[],[f41,f90,f104]) ).
fof(f41,axiom,
( sk_c11 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f155,plain,
( spl5_3
| spl5_10 ),
inference(avatar_split_clause,[],[f60,f119,f86]) ).
fof(f60,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f152,plain,
( spl5_4
| spl5_16 ),
inference(avatar_split_clause,[],[f43,f149,f90]) ).
fof(f43,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f141,plain,
( spl5_13
| spl5_14 ),
inference(avatar_split_clause,[],[f48,f138,f134]) ).
fof(f48,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f117,plain,
( spl5_3
| spl5_9 ),
inference(avatar_split_clause,[],[f30,f114,f86]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f112,plain,
( spl5_4
| spl5_8 ),
inference(avatar_split_clause,[],[f42,f109,f90]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f93,plain,
( spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f40,f90,f86]) ).
fof(f40,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f84,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f71,f82,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP254-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:23:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (3816)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)
% 0.19/0.50 % (3799)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)
% 0.19/0.50 % (3806)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (3795)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)
% 0.19/0.50 % (3796)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)
% 0.19/0.50 % (3807)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (3794)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)
% 0.19/0.51 % (3808)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)
% 0.19/0.51 % (3821)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)
% 0.19/0.51 % (3803)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)
% 0.19/0.51 % (3809)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)
% 0.19/0.51 % (3797)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)
% 0.19/0.51 % (3800)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)
% 0.19/0.52 % (3801)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (3798)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (3819)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (3814)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 TRYING [1]
% 0.19/0.52 % (3820)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 TRYING [2]
% 0.19/0.53 % (3801)Instruction limit reached!
% 0.19/0.53 % (3801)------------------------------
% 0.19/0.53 % (3801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (3822)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (3817)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)
% 0.19/0.53 % (3811)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (3801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (3801)Termination reason: Unknown
% 0.19/0.53 % (3801)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (3801)Memory used [KB]: 5628
% 0.19/0.53 % (3801)Time elapsed: 0.119 s
% 0.19/0.53 % (3801)Instructions burned: 8 (million)
% 0.19/0.53 % (3801)------------------------------
% 0.19/0.53 % (3801)------------------------------
% 0.19/0.53 % (3812)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (3802)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (3823)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)
% 1.42/0.53 % (3810)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)
% 1.42/0.53 % (3818)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.53 % (3813)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)
% 1.42/0.53 TRYING [1]
% 1.42/0.53 TRYING [2]
% 1.42/0.53 % (3802)Instruction limit reached!
% 1.42/0.53 % (3802)------------------------------
% 1.42/0.53 % (3802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 TRYING [1]
% 1.42/0.53 % (3802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (3802)Termination reason: Unknown
% 1.42/0.53 % (3802)Termination phase: Saturation
% 1.42/0.53
% 1.42/0.53 % (3802)Memory used [KB]: 895
% 1.42/0.53 % (3802)Time elapsed: 0.002 s
% 1.42/0.53 % (3802)Instructions burned: 2 (million)
% 1.42/0.53 % (3802)------------------------------
% 1.42/0.53 % (3802)------------------------------
% 1.42/0.54 TRYING [2]
% 1.42/0.54 % (3804)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54 % (3805)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)
% 1.42/0.54 % (3815)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54 TRYING [3]
% 1.42/0.54 TRYING [3]
% 1.59/0.55 % (3796)Instruction limit reached!
% 1.59/0.55 % (3796)------------------------------
% 1.59/0.55 % (3796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 TRYING [3]
% 1.59/0.57 TRYING [4]
% 1.59/0.57 TRYING [4]
% 1.59/0.57 % (3796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (3796)Termination reason: Unknown
% 1.59/0.57 % (3796)Termination phase: Saturation
% 1.59/0.57
% 1.59/0.57 % (3796)Memory used [KB]: 1151
% 1.59/0.57 % (3796)Time elapsed: 0.163 s
% 1.59/0.57 % (3796)Instructions burned: 37 (million)
% 1.59/0.57 % (3796)------------------------------
% 1.59/0.57 % (3796)------------------------------
% 1.59/0.58 % (3795)Instruction limit reached!
% 1.59/0.58 % (3795)------------------------------
% 1.59/0.58 % (3795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 TRYING [4]
% 1.59/0.59 % (3811)Instruction limit reached!
% 1.59/0.59 % (3811)------------------------------
% 1.59/0.59 % (3811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (3795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 TRYING [4]
% 1.59/0.59 % (3800)Instruction limit reached!
% 1.59/0.59 % (3800)------------------------------
% 1.59/0.59 % (3800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (3800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (3800)Termination reason: Unknown
% 1.59/0.59 % (3800)Termination phase: Finite model building constraint generation
% 1.59/0.59
% 1.59/0.59 % (3800)Memory used [KB]: 6780
% 1.59/0.59 % (3800)Time elapsed: 0.127 s
% 1.59/0.59 % (3800)Instructions burned: 51 (million)
% 1.59/0.59 % (3800)------------------------------
% 1.59/0.59 % (3800)------------------------------
% 1.59/0.59 % (3795)Termination reason: Unknown
% 1.59/0.59 % (3795)Termination phase: Saturation
% 1.59/0.59
% 1.59/0.59 % (3795)Memory used [KB]: 6396
% 1.59/0.59 % (3795)Time elapsed: 0.189 s
% 1.59/0.59 % (3795)Instructions burned: 51 (million)
% 1.59/0.59 % (3795)------------------------------
% 1.59/0.59 % (3795)------------------------------
% 1.59/0.59 % (3799)Instruction limit reached!
% 1.59/0.59 % (3799)------------------------------
% 1.59/0.59 % (3799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (3803)Instruction limit reached!
% 1.59/0.59 % (3803)------------------------------
% 1.59/0.59 % (3803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (3799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (3799)Termination reason: Unknown
% 1.59/0.60 % (3799)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (3799)Memory used [KB]: 6268
% 1.59/0.60 % (3799)Time elapsed: 0.200 s
% 1.59/0.60 % (3799)Instructions burned: 49 (million)
% 1.59/0.60 % (3799)------------------------------
% 1.59/0.60 % (3799)------------------------------
% 1.59/0.60 % (3803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (3803)Termination reason: Unknown
% 1.59/0.60 % (3803)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (3803)Memory used [KB]: 1535
% 1.59/0.60 % (3803)Time elapsed: 0.192 s
% 1.59/0.60 % (3803)Instructions burned: 51 (million)
% 1.59/0.60 % (3803)------------------------------
% 1.59/0.60 % (3803)------------------------------
% 1.59/0.60 % (3797)Instruction limit reached!
% 1.59/0.60 % (3797)------------------------------
% 1.59/0.60 % (3797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (3811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (3811)Termination reason: Unknown
% 1.59/0.60 % (3811)Termination phase: Finite model building constraint generation
% 1.59/0.60
% 1.59/0.60 % (3811)Memory used [KB]: 7164
% 1.59/0.60 % (3811)Time elapsed: 0.195 s
% 1.59/0.60 % (3811)Instructions burned: 60 (million)
% 1.59/0.60 % (3811)------------------------------
% 1.59/0.60 % (3811)------------------------------
% 1.59/0.60 % (3815)First to succeed.
% 1.59/0.61 % (3815)Refutation found. Thanks to Tanya!
% 1.59/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.59/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.61 % (3815)------------------------------
% 1.59/0.61 % (3815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (3815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (3815)Termination reason: Refutation
% 1.59/0.61
% 1.59/0.61 % (3815)Memory used [KB]: 5884
% 1.59/0.61 % (3815)Time elapsed: 0.213 s
% 1.59/0.61 % (3815)Instructions burned: 29 (million)
% 1.59/0.61 % (3815)------------------------------
% 1.59/0.61 % (3815)------------------------------
% 1.59/0.61 % (3793)Success in time 0.26 s
%------------------------------------------------------------------------------