TSTP Solution File: GRP026-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP026-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %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 : Sat Jul 23 06:03:00 EDT 2022

% Result   : Satisfiable 6.37s 6.58s
% Output   : Model 6.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP026-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n023.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 : Fri Jul 22 14:26:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 6.37/6.58  GeoParameters:
% 6.37/6.58  
% 6.37/6.58  tptp_input =     1
% 6.37/6.58  tptp_output =    0
% 6.37/6.58  nonempty =       1
% 6.37/6.58  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.37/6.58  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.37/6.58  
% 6.37/6.58  
% 6.37/6.58  % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.37/6.58  % SZS output start Model for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.37/6.58  
% 6.37/6.58  Interpretation 126:
% 6.37/6.58  Guesses:
% 6.37/6.58  0 : guesser 1, 0, ( | 1, 0 ), 0, 6s old, 0 lemmas
% 6.37/6.58  1 : guesser 3, 1, ( 1 | 2, 0 ), 0, 6s old, 1 lemmas
% 6.37/6.58  2 : guesser 5, 2, ( | 2, 1, 3, 0 ), 1, 6s old, 0 lemmas
% 6.37/6.58  3 : guesser 7, 4, ( 2 | 1, 3, 0 ), 3, 6s old, 1 lemmas
% 6.37/6.58  4 : guesser 9, 6, ( 2, 1 | 3, 0 ), 4, 6s old, 2 lemmas
% 6.37/6.58  5 : guesser 12, 8, ( | 1, 0, 3, 4, 2 ), 6, 6s old, 0 lemmas
% 6.37/6.58  6 : guesser 14, 10, ( | 3, 2, 1, 4, 0 ), 6, 6s old, 0 lemmas
% 6.37/6.58  7 : guesser 16, 12, ( 1 | 0, 3, 4, 2 ), 7, 6s old, 1 lemmas
% 6.37/6.58  8 : guesser 64, 60, ( 0 | 2, 1 ), 121, 0s old, 1 lemmas
% 6.37/6.58  9 : guesser 74, 70, ( | 3, 2, 1, 4, 0 ), 122, 0s old, 0 lemmas
% 6.37/6.58  10 : guesser 75, 71, ( | 2, 1, 0, 4, 3 ), 122, 0s old, 0 lemmas
% 6.37/6.58  11 : guesser 77, 73, ( | 1, 0, 3, 4, 2 ), 122, 0s old, 0 lemmas
% 6.37/6.58  12 : guesser 88, 84, ( | 2, 1, 0, 4, 3 ), 122, 0s old, 0 lemmas
% 6.37/6.58  13 : guesser 89, 85, ( | 0, 3, 2, 4, 1 ), 122, 0s old, 0 lemmas
% 6.37/6.58  14 : guesser 90, 86, ( | 2, 1, 0, 4, 3 ), 122, 0s old, 0 lemmas
% 6.37/6.58  15 : guesser 91, 87, ( | 3, 2, 1, 4, 0 ), 122, 0s old, 0 lemmas
% 6.37/6.58  16 : guesser 92, 88, ( | 0, 3, 2, 4, 1 ), 122, 0s old, 0 lemmas
% 6.37/6.58  17 : guesser 93, 89, ( | 3, 2, 1, 4, 0 ), 122, 0s old, 0 lemmas
% 6.37/6.58  18 : guesser 94, 90, ( | 2, 1, 0, 4, 3 ), 122, 0s old, 0 lemmas
% 6.37/6.58  19 : guesser 98, 94, ( | 3, 2, 1, 4, 0 ), 122, 0s old, 0 lemmas
% 6.37/6.58  20 : guesser 99, 95, ( | 0, 3, 2, 4, 1 ), 122, 0s old, 0 lemmas
% 6.37/6.58  21 : guesser 101, 97, ( | 0, 3, 2, 4, 1 ), 122, 0s old, 0 lemmas
% 6.37/6.58  22 : guesser 102, 98, ( 0, 3 | 2, 4, 1 ), 122, 0s old, 1 lemmas
% 6.37/6.58  23 : guesser 104, 100, ( | 2, 1, 0, 4, 3 ), 123, 0s old, 0 lemmas
% 6.37/6.58  24 : guesser 105, 101, ( | 3, 2, 1, 4, 0 ), 123, 0s old, 0 lemmas
% 6.37/6.58  25 : guesser 111, 107, ( | 3, 2, 1, 4, 0 ), 123, 0s old, 0 lemmas
% 6.37/6.58  26 : guesser 112, 108, ( | 2, 1, 0, 4, 3 ), 123, 0s old, 0 lemmas
% 6.37/6.58  27 : guesser 123, 119, ( | 3, 2, 1, 4, 0 ), 123, 0s old, 0 lemmas
% 6.37/6.58  28 : guesser 124, 120, ( 0 | 3, 2, 4, 1 ), 123, 0s old, 1 lemmas
% 6.37/6.58  29 : guesser 126, 122, ( | 3, 2, 1, 4, 0 ), 124, 0s old, 0 lemmas
% 6.37/6.58  30 : guesser 127, 123, ( 2 | 1, 0, 4, 3 ), 124, 0s old, 1 lemmas
% 6.37/6.58  31 : guesser 131, 127, ( | 0, 3, 2, 4, 1 ), 125, 0s old, 0 lemmas
% 6.37/6.58  32 : guesser 132, 128, ( 1 | 0, 3, 4, 2 ), 125, 0s old, 1 lemmas
% 6.37/6.58  33 : guesser 134, 130, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  34 : guesser 135, 131, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  35 : guesser 136, 132, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  36 : guesser 137, 133, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  37 : guesser 141, 137, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  38 : guesser 142, 138, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  39 : guesser 143, 139, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  40 : guesser 144, 140, ( | 1, 0, 3, 4, 2 ), 126, 0s old, 0 lemmas
% 6.37/6.58  41 : guesser 145, 141, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  42 : guesser 146, 142, ( | 1, 0, 3, 4, 2 ), 126, 0s old, 0 lemmas
% 6.37/6.58  43 : guesser 147, 143, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  44 : guesser 148, 144, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  45 : guesser 149, 145, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  46 : guesser 150, 146, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  47 : guesser 151, 147, ( | 2, 1, 0, 4, 3 ), 126, 0s old, 0 lemmas
% 6.37/6.58  48 : guesser 152, 148, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  49 : guesser 153, 149, ( | 2, 1, 0, 4, 3 ), 126, 0s old, 0 lemmas
% 6.37/6.58  50 : guesser 154, 150, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  51 : guesser 155, 151, ( | 1, 0, 3, 4, 2 ), 126, 0s old, 0 lemmas
% 6.37/6.58  52 : guesser 156, 152, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  53 : guesser 157, 153, ( | 2, 1, 0, 4, 3 ), 126, 0s old, 0 lemmas
% 6.37/6.58  54 : guesser 158, 154, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  55 : guesser 159, 155, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  56 : guesser 160, 156, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  57 : guesser 161, 157, ( | 1, 0, 3, 4, 2 ), 126, 0s old, 0 lemmas
% 6.37/6.58  58 : guesser 162, 158, ( | 2, 1, 0, 4, 3 ), 126, 0s old, 0 lemmas
% 6.37/6.58  59 : guesser 163, 159, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  60 : guesser 164, 160, ( | 2, 1, 0, 4, 3 ), 126, 0s old, 0 lemmas
% 6.37/6.58  61 : guesser 165, 161, ( | 1, 0, 3, 4, 2 ), 126, 0s old, 0 lemmas
% 6.37/6.58  62 : guesser 166, 162, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  63 : guesser 167, 163, ( | 1, 0, 3, 4, 2 ), 126, 0s old, 0 lemmas
% 6.37/6.58  64 : guesser 168, 164, ( | 1, 0, 3, 4, 2 ), 126, 0s old, 0 lemmas
% 6.37/6.58  65 : guesser 169, 165, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  66 : guesser 170, 166, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  67 : guesser 171, 167, ( | 2, 1, 0, 4, 3 ), 126, 0s old, 0 lemmas
% 6.37/6.58  68 : guesser 172, 168, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  69 : guesser 173, 169, ( | 3, 2, 1, 4, 0 ), 126, 0s old, 0 lemmas
% 6.37/6.58  70 : guesser 174, 170, ( | 0, 3, 2, 4, 1 ), 126, 0s old, 0 lemmas
% 6.37/6.58  
% 6.37/6.58  Elements:
% 6.37/6.58     { E0, E1, E2, E3 }
% 6.37/6.58  
% 6.37/6.58  Atoms:
% 6.37/6.58  0 : #-{T} E0                     { }
% 6.37/6.58  1 : #-{T} E1                     { 0 }
% 6.37/6.58  2 : P_g1-{T}(E1)                     { 0 }
% 6.37/6.58  3 : #-{T} E2                     { 1 }
% 6.37/6.58  4 : P_g2-{T}(E2)                     { 1 }
% 6.37/6.58  5 : P_a-{T}(E2)                     { 2 }
% 6.37/6.58  6 : group_member-{T}(E2,E1)                     { 0, 1, 2 }
% 6.37/6.58  7 : P_b-{T}(E1)                     { 3 }
% 6.37/6.58  8 : group_member-{T}(E1,E1)                     { 0, 1, 2, 3 }
% 6.37/6.58  9 : #-{T} E3                     { 4 }
% 6.37/6.58  10 : P_c-{T}(E3)                     { 4 }
% 6.37/6.58  11 : group_member-{T}(E3,E1)                     { 0, 1, 2, 3, 4 }
% 6.37/6.58  12 : P_f-{T}(E1)                     { 5 }
% 6.37/6.58  13 : group_member-{T}(E1,E2)                     { 0, 1, 2, 3, 4, 5 }
% 6.37/6.58  14 : P_g-{T}(E3)                     { 6 }
% 6.37/6.58  15 : group_member-{T}(E3,E2)                     { 0, 1, 2, 3, 4, 5, 6 }
% 6.37/6.58  16 : P_h-{T}(E0)                     { 7 }
% 6.37/6.58  17 : group_member-{T}(E0,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  18 : P_identity_for-{T}(E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  19 : product-{T}(E1,E2,E0,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  20 : product-{T}(E1,E0,E2,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  21 : product-{T}(E1,E2,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  22 : product-{T}(E1,E3,E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  23 : product-{T}(E1,E2,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  24 : product-{T}(E1,E2,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  25 : product-{T}(E1,E1,E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  26 : P_identity_for-{T}(E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  27 : product-{T}(E2,E1,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  28 : product-{T}(E2,E1,E0,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  29 : product-{T}(E2,E1,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  30 : product-{T}(E2,E0,E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  31 : product-{T}(E2,E1,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  32 : product-{T}(E2,E3,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  33 : product-{T}(E2,E2,E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  34 : P_inverse-{T}(E1,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  35 : P_inverse-{T}(E2,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  36 : P_isomorphism1-{T}(E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  37 : P_isomorphism1-{T}(E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  38 : P_multiply-{T}(E1,E2,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  39 : P_multiply-{T}(E1,E1,E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  40 : P_multiply-{T}(E1,E2,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  41 : P_multiply-{T}(E1,E3,E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  42 : P_multiply-{T}(E2,E1,E0,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  43 : P_multiply-{T}(E2,E1,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  44 : P_multiply-{T}(E2,E1,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  45 : P_multiply-{T}(E2,E3,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  46 : P_multiply-{T}(E2,E0,E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  47 : P_multiply-{T}(E1,E2,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  48 : P_isomorphism1-{T}(E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  49 : P_isomorphism2-{T}(E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  50 : P_isomorphism2-{T}(E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  51 : P_isomorphism2-{T}(E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  52 : P_isomorphism3-{T}(E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  53 : P_isomorphism3-{T}(E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  54 : P_isomorphism3-{T}(E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  55 : P_isomorphism4-{T}(E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  56 : P_isomorphism4-{T}(E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  57 : P_isomorphism4-{T}(E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  58 : P_isomorphism5-{T}(E2,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  59 : P_isomorphism5-{T}(E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  60 : P_isomorphism5-{T}(E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  61 : P_isomorphism6-{T}(E2,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  62 : P_isomorphism6-{T}(E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  63 : P_isomorphism6-{T}(E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 6.37/6.58  64 : P_inverse-{T}(E1,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  65 : product-{T}(E1,E3,E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  66 : product-{T}(E1,E1,E3,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  67 : P_inverse-{T}(E1,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  68 : P_multiply-{T}(E1,E1,E3,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  69 : P_multiply-{T}(E1,E3,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  70 : product-{T}(E1,E3,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  71 : P_multiply-{T}(E1,E3,E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  72 : product-{T}(E1,E1,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  73 : P_multiply-{T}(E1,E1,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 6.37/6.58  74 : P_d1-{T}(E3)                     { 9 }
% 6.37/6.58  75 : P_d2-{T}(E2)                     { 10 }
% 6.37/6.58  76 : P_d3-{T}(E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 9, 10 }
% 6.37/6.58  77 : P_identity_for-{T}(E0,E1)                     { 11 }
% 6.37/6.58  78 : group_member-{T}(E1,E0)                     { 11 }
% 6.37/6.58  79 : P_inverse-{T}(E0,E1,E1)                     { 11 }
% 6.37/6.58  80 : product-{T}(E0,E1,E0,E0)                     { 11 }
% 6.37/6.58  81 : product-{T}(E0,E0,E1,E0)                     { 11 }
% 6.37/6.58  82 : product-{T}(E0,E1,E1,E1)                     { 11 }
% 6.37/6.58  83 : P_multiply-{T}(E0,E1,E1,E1)                     { 11 }
% 6.37/6.58  84 : product-{T}(E0,E1,E2,E2)                     { 1, 11 }
% 6.37/6.58  85 : product-{T}(E0,E2,E1,E2)                     { 1, 11 }
% 6.37/6.58  86 : product-{T}(E0,E1,E3,E3)                     { 4, 11 }
% 6.37/6.58  87 : product-{T}(E0,E3,E1,E3)                     { 4, 11 }
% 6.37/6.58  88 : P_isomorphism1-{T}(E0,E2)                     { 12 }
% 6.37/6.58  89 : P_isomorphism2-{T}(E0,E0)                     { 13 }
% 6.37/6.58  90 : P_isomorphism3-{T}(E0,E2)                     { 14 }
% 6.37/6.58  91 : P_isomorphism4-{T}(E0,E3)                     { 15 }
% 6.37/6.58  92 : P_isomorphism5-{T}(E0,E0)                     { 16 }
% 6.37/6.58  93 : P_isomorphism6-{T}(E0,E3)                     { 17 }
% 6.37/6.58  94 : P_inverse-{T}(E0,E0,E2)                     { 18 }
% 6.37/6.58  95 : product-{T}(E0,E2,E0,E1)                     { 11, 18 }
% 6.37/6.58  96 : product-{T}(E0,E0,E2,E1)                     { 11, 18 }
% 6.37/6.58  97 : P_inverse-{T}(E0,E2,E0)                     { 11, 18 }
% 6.37/6.58  98 : P_multiply-{T}(E0,E0,E0,E3)                     { 19 }
% 6.37/6.58  99 : P_inverse-{T}(E1,E0,E0)                     { 0, 20 }
% 6.37/6.58  100 : product-{T}(E1,E0,E0,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7, 20 }
% 6.37/6.58  101 : P_multiply-{T}(E0,E0,E1,E0)                     { 0, 21 }
% 6.37/6.58  102 : P_inverse-{T}(E2,E2,E2)                     { 1, 22 }
% 6.37/6.58  103 : product-{T}(E2,E2,E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 22 }
% 6.37/6.58  104 : P_multiply-{T}(E0,E1,E0,E2)                     { 0, 23 }
% 6.37/6.58  105 : P_inverse-{T}(E2,E0,E3)                     { 1, 24 }
% 6.37/6.58  106 : product-{T}(E2,E3,E0,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 24 }
% 6.37/6.58  107 : product-{T}(E2,E0,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 24 }
% 6.37/6.58  108 : P_inverse-{T}(E2,E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7, 24 }
% 6.37/6.58  109 : P_multiply-{T}(E2,E3,E0,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 24 }
% 6.37/6.58  110 : P_multiply-{T}(E2,E0,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 24 }
% 6.37/6.58  111 : P_multiply-{T}(E1,E0,E0,E3)                     { 0, 25 }
% 6.37/6.58  112 : P_identity_for-{T}(E3,E2)                     { 4, 26 }
% 6.37/6.58  113 : group_member-{T}(E2,E3)                     { 4, 26 }
% 6.37/6.58  114 : P_inverse-{T}(E3,E2,E2)                     { 4, 26 }
% 6.37/6.58  115 : product-{T}(E3,E2,E0,E0)                     { 4, 26 }
% 6.37/6.58  116 : product-{T}(E3,E2,E3,E3)                     { 4, 26 }
% 6.37/6.58  117 : product-{T}(E3,E0,E2,E0)                     { 4, 26 }
% 6.37/6.58  118 : product-{T}(E3,E2,E2,E2)                     { 4, 26 }
% 6.37/6.58  119 : product-{T}(E3,E3,E2,E3)                     { 4, 26 }
% 6.37/6.58  120 : P_multiply-{T}(E3,E2,E2,E2)                     { 4, 26 }
% 6.37/6.58  121 : product-{T}(E3,E2,E1,E1)                     { 0, 4, 26 }
% 6.37/6.58  122 : product-{T}(E3,E1,E2,E1)                     { 0, 4, 26 }
% 6.37/6.58  123 : P_multiply-{T}(E1,E0,E1,E3)                     { 0, 27 }
% 6.37/6.58  124 : P_inverse-{T}(E0,E3,E3)                     { 4, 28 }
% 6.37/6.58  125 : product-{T}(E0,E3,E3,E1)                     { 4, 11, 28 }
% 6.37/6.58  126 : P_multiply-{T}(E1,E1,E0,E3)                     { 0, 29 }
% 6.37/6.58  127 : P_inverse-{T}(E3,E3,E1)                     { 4, 30 }
% 6.37/6.58  128 : product-{T}(E3,E1,E3,E2)                     { 4, 26, 30 }
% 6.37/6.58  129 : product-{T}(E3,E3,E1,E2)                     { 4, 26, 30 }
% 6.37/6.58  130 : P_inverse-{T}(E3,E1,E3)                     { 4, 26, 30 }
% 6.37/6.58  131 : P_multiply-{T}(E0,E0,E2,E0)                     { 1, 31 }
% 6.37/6.58  132 : P_inverse-{T}(E3,E0,E0)                     { 4, 32 }
% 6.37/6.58  133 : product-{T}(E3,E0,E0,E2)                     { 4, 26, 32 }
% 6.37/6.58  134 : P_multiply-{T}(E0,E2,E0,E0)                     { 1, 33 }
% 6.37/6.58  135 : P_multiply-{T}(E0,E2,E2,E0)                     { 1, 34 }
% 6.37/6.58  136 : P_multiply-{T}(E2,E0,E2,E3)                     { 1, 35 }
% 6.37/6.58  137 : P_multiply-{T}(E2,E0,E0,E3)                     { 1, 36 }
% 6.37/6.58  138 : product-{T}(E2,E0,E0,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 36 }
% 6.37/6.58  139 : product-{T}(E2,E3,E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7, 24, 36 }
% 6.37/6.58  140 : P_multiply-{T}(E2,E3,E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7, 24, 36 }
% 6.37/6.58  141 : P_multiply-{T}(E2,E2,E0,E3)                     { 1, 37 }
% 6.37/6.58  142 : P_multiply-{T}(E2,E2,E2,E3)                     { 1, 38 }
% 6.37/6.58  143 : P_multiply-{T}(E0,E1,E2,E0)                     { 0, 1, 39 }
% 6.37/6.58  144 : P_multiply-{T}(E0,E2,E1,E1)                     { 0, 1, 40 }
% 6.37/6.58  145 : P_multiply-{T}(E1,E0,E2,E3)                     { 0, 1, 41 }
% 6.37/6.58  146 : P_multiply-{T}(E1,E2,E0,E1)                     { 0, 1, 42 }
% 6.37/6.58  147 : P_multiply-{T}(E2,E1,E2,E3)                     { 0, 1, 43 }
% 6.37/6.58  148 : P_multiply-{T}(E2,E2,E1,E0)                     { 0, 1, 44 }
% 6.37/6.58  149 : P_multiply-{T}(E0,E0,E3,E0)                     { 4, 45 }
% 6.37/6.58  150 : P_multiply-{T}(E0,E3,E0,E0)                     { 4, 46 }
% 6.37/6.58  151 : P_multiply-{T}(E0,E3,E3,E2)                     { 4, 47 }
% 6.37/6.58  152 : P_multiply-{T}(E3,E0,E3,E3)                     { 4, 48 }
% 6.37/6.58  153 : P_multiply-{T}(E3,E0,E0,E2)                     { 4, 49 }
% 6.37/6.58  154 : P_multiply-{T}(E3,E3,E0,E0)                     { 4, 50 }
% 6.37/6.58  155 : P_multiply-{T}(E3,E3,E3,E1)                     { 4, 51 }
% 6.37/6.58  156 : P_multiply-{T}(E0,E1,E3,E3)                     { 0, 4, 52 }
% 6.37/6.58  157 : P_multiply-{T}(E0,E3,E1,E2)                     { 0, 4, 53 }
% 6.37/6.58  158 : P_multiply-{T}(E1,E0,E3,E3)                     { 0, 4, 54 }
% 6.37/6.58  159 : P_multiply-{T}(E1,E3,E0,E0)                     { 0, 4, 55 }
% 6.37/6.58  160 : P_multiply-{T}(E3,E0,E1,E3)                     { 0, 4, 56 }
% 6.37/6.58  161 : P_multiply-{T}(E3,E1,E0,E1)                     { 0, 4, 57 }
% 6.37/6.58  162 : P_multiply-{T}(E3,E1,E3,E2)                     { 0, 4, 58 }
% 6.37/6.58  163 : P_multiply-{T}(E3,E1,E1,E3)                     { 0, 4, 59 }
% 6.37/6.58  164 : P_multiply-{T}(E3,E3,E1,E2)                     { 0, 4, 60 }
% 6.37/6.58  165 : P_multiply-{T}(E0,E2,E3,E1)                     { 1, 4, 61 }
% 6.37/6.58  166 : P_multiply-{T}(E0,E3,E2,E3)                     { 1, 4, 62 }
% 6.37/6.58  167 : P_multiply-{T}(E2,E2,E3,E1)                     { 1, 4, 63 }
% 6.37/6.58  168 : P_multiply-{T}(E2,E3,E2,E1)                     { 1, 4, 64 }
% 6.37/6.58  169 : P_multiply-{T}(E3,E0,E2,E3)                     { 1, 4, 65 }
% 6.37/6.58  170 : P_multiply-{T}(E3,E2,E3,E0)                     { 1, 4, 66 }
% 6.37/6.58  171 : P_multiply-{T}(E3,E2,E0,E2)                     { 1, 4, 67 }
% 6.37/6.58  172 : P_multiply-{T}(E3,E3,E2,E3)                     { 1, 4, 68 }
% 6.37/6.58  173 : P_multiply-{T}(E3,E1,E2,E3)                     { 0, 1, 4, 69 }
% 6.37/6.58  174 : P_multiply-{T}(E3,E2,E1,E0)                     { 0, 1, 4, 70 }
% 6.37/6.58  
% 6.37/6.58  
% 6.37/6.58  % SZS output end Model for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.37/6.58  
% 6.37/6.58  randbase = 1
%------------------------------------------------------------------------------