TSTP Solution File: GRP026-4 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP026-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:03:00 EDT 2022

% Result   : Satisfiable 9.88s 10.08s
% Output   : Model 9.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP026-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Fri Jul 22 13:33:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 9.88/10.08  GeoParameters:
% 9.88/10.08  
% 9.88/10.08  tptp_input =     1
% 9.88/10.08  tptp_output =    0
% 9.88/10.08  nonempty =       1
% 9.88/10.08  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.88/10.08  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.88/10.08  
% 9.88/10.08  
% 9.88/10.08  % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.88/10.08  % SZS output start Model for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.88/10.08  
% 9.88/10.08  Interpretation 154:
% 9.88/10.08  Guesses:
% 9.88/10.08  0 : guesser 1, 0, ( | 1, 0 ), 0, 9s old, 0 lemmas
% 9.88/10.08  1 : guesser 3, 1, ( 1 | 2, 0 ), 0, 9s old, 1 lemmas
% 9.88/10.08  2 : guesser 5, 2, ( | 2, 1, 3, 0 ), 1, 9s old, 0 lemmas
% 9.88/10.08  3 : guesser 7, 4, ( 2 | 1, 3, 0 ), 3, 9s old, 1 lemmas
% 9.88/10.08  4 : guesser 9, 6, ( 2, 1 | 3, 0 ), 4, 9s old, 2 lemmas
% 9.88/10.08  5 : guesser 12, 8, ( | 1, 0, 3, 4, 2 ), 6, 9s old, 0 lemmas
% 9.88/10.08  6 : guesser 14, 10, ( | 3, 2, 1, 4, 0 ), 6, 9s old, 0 lemmas
% 9.88/10.08  7 : guesser 16, 12, ( 1 | 0, 3, 4, 2 ), 7, 9s old, 1 lemmas
% 9.88/10.08  8 : guesser 74, 70, ( 0 | 2, 1 ), 145, 1s old, 3 lemmas
% 9.88/10.08  9 : guesser 84, 80, ( | 1, 0, 3, 4, 2 ), 151, 0s old, 0 lemmas
% 9.88/10.08  10 : guesser 85, 81, ( | 1, 0, 3, 4, 2 ), 151, 0s old, 0 lemmas
% 9.88/10.08  11 : guesser 87, 83, ( | 1, 0, 3, 4, 2 ), 151, 0s old, 0 lemmas
% 9.88/10.08  12 : guesser 98, 94, ( | 1, 0, 3, 4, 2 ), 151, 0s old, 0 lemmas
% 9.88/10.08  13 : guesser 99, 95, ( | 3, 2, 1, 4, 0 ), 151, 0s old, 0 lemmas
% 9.88/10.08  14 : guesser 100, 96, ( | 2, 1, 0, 4, 3 ), 151, 0s old, 0 lemmas
% 9.88/10.08  15 : guesser 101, 97, ( | 0, 3, 2, 4, 1 ), 151, 0s old, 0 lemmas
% 9.88/10.08  16 : guesser 102, 98, ( | 0, 3, 2, 4, 1 ), 151, 0s old, 0 lemmas
% 9.88/10.08  17 : guesser 103, 99, ( | 2, 1, 0, 4, 3 ), 151, 0s old, 0 lemmas
% 9.88/10.08  18 : guesser 104, 100, ( | 2, 1, 0, 4, 3 ), 151, 0s old, 0 lemmas
% 9.88/10.08  19 : guesser 108, 104, ( | 1, 0, 3, 4, 2 ), 151, 0s old, 0 lemmas
% 9.88/10.08  20 : guesser 109, 105, ( 2, 1 | 0, 4, 3 ), 151, 0s old, 3 lemmas
% 9.88/10.08  21 : guesser 111, 107, ( | 1, 0, 3, 4, 2 ), 152, 0s old, 0 lemmas
% 9.88/10.08  22 : guesser 112, 108, ( 0, 3 | 2, 4, 1 ), 152, 0s old, 2 lemmas
% 9.88/10.08  23 : guesser 114, 110, ( | 3, 2, 1, 4, 0 ), 153, 0s old, 0 lemmas
% 9.88/10.08  24 : guesser 115, 111, ( | 3, 2, 1, 4, 0 ), 153, 0s old, 0 lemmas
% 9.88/10.08  25 : guesser 126, 122, ( | 3, 2, 1, 4, 0 ), 153, 0s old, 0 lemmas
% 9.88/10.08  26 : guesser 127, 123, ( 1, 0 | 3, 4, 2 ), 153, 0s old, 3 lemmas
% 9.88/10.08  27 : guesser 129, 125, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  28 : guesser 130, 126, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  29 : guesser 132, 128, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  30 : guesser 133, 129, ( | 2, 1, 0, 4, 3 ), 154, 0s old, 0 lemmas
% 9.88/10.08  31 : guesser 137, 133, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  32 : guesser 138, 134, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  33 : guesser 139, 135, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  34 : guesser 140, 136, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  35 : guesser 141, 137, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  36 : guesser 142, 138, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  37 : guesser 143, 139, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  38 : guesser 144, 140, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  39 : guesser 145, 141, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  40 : guesser 146, 142, ( | 2, 1, 0, 4, 3 ), 154, 0s old, 0 lemmas
% 9.88/10.08  41 : guesser 147, 143, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  42 : guesser 148, 144, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  43 : guesser 149, 145, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  44 : guesser 150, 146, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  45 : guesser 151, 147, ( | 2, 1, 0, 4, 3 ), 154, 0s old, 0 lemmas
% 9.88/10.08  46 : guesser 152, 148, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  47 : guesser 153, 149, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  48 : guesser 154, 150, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  49 : guesser 155, 151, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  50 : guesser 156, 152, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  51 : guesser 157, 153, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  52 : guesser 158, 154, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  53 : guesser 159, 155, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  54 : guesser 160, 156, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  55 : guesser 161, 157, ( | 2, 1, 0, 4, 3 ), 154, 0s old, 0 lemmas
% 9.88/10.08  56 : guesser 162, 158, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  57 : guesser 163, 159, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  58 : guesser 164, 160, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  59 : guesser 165, 161, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  60 : guesser 166, 162, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  61 : guesser 167, 163, ( | 2, 1, 0, 4, 3 ), 154, 0s old, 0 lemmas
% 9.88/10.08  62 : guesser 168, 164, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  63 : guesser 169, 165, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  64 : guesser 170, 166, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  65 : guesser 171, 167, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  66 : guesser 172, 168, ( | 3, 2, 1, 4, 0 ), 154, 0s old, 0 lemmas
% 9.88/10.08  67 : guesser 173, 169, ( | 0, 3, 2, 4, 1 ), 154, 0s old, 0 lemmas
% 9.88/10.08  68 : guesser 174, 170, ( | 1, 0, 3, 4, 2 ), 154, 0s old, 0 lemmas
% 9.88/10.08  
% 9.88/10.08  Elements:
% 9.88/10.08     { E0, E1, E2, E3 }
% 9.88/10.08  
% 9.88/10.08  Atoms:
% 9.88/10.08  0 : #-{T} E0                     { }
% 9.88/10.08  1 : #-{T} E1                     { 0 }
% 9.88/10.08  2 : P_g1-{T}(E1)                     { 0 }
% 9.88/10.08  3 : #-{T} E2                     { 1 }
% 9.88/10.08  4 : P_g2-{T}(E2)                     { 1 }
% 9.88/10.08  5 : P_a-{T}(E2)                     { 2 }
% 9.88/10.08  6 : group_member-{T}(E2,E1)                     { 0, 1, 2 }
% 9.88/10.08  7 : P_b-{T}(E1)                     { 3 }
% 9.88/10.08  8 : group_member-{T}(E1,E1)                     { 0, 1, 2, 3 }
% 9.88/10.08  9 : #-{T} E3                     { 4 }
% 9.88/10.08  10 : P_c-{T}(E3)                     { 4 }
% 9.88/10.08  11 : group_member-{T}(E3,E1)                     { 0, 1, 2, 3, 4 }
% 9.88/10.08  12 : P_f-{T}(E1)                     { 5 }
% 9.88/10.08  13 : group_member-{T}(E1,E2)                     { 0, 1, 2, 3, 4, 5 }
% 9.88/10.08  14 : P_g-{T}(E3)                     { 6 }
% 9.88/10.08  15 : group_member-{T}(E3,E2)                     { 0, 1, 2, 3, 4, 5, 6 }
% 9.88/10.08  16 : P_h-{T}(E0)                     { 7 }
% 9.88/10.08  17 : group_member-{T}(E0,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  18 : P_identity_for-{T}(E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  19 : product-{T}(E1,E2,E0,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  20 : product-{T}(E1,E0,E2,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  21 : product-{T}(E1,E2,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  22 : product-{T}(E1,E3,E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  23 : product-{T}(E1,E2,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  24 : product-{T}(E1,E2,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  25 : product-{T}(E1,E1,E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  26 : P_inverse-{T}(E1,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  27 : P_multiply-{T}(E1,E2,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  28 : P_multiply-{T}(E1,E3,E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  29 : P_multiply-{T}(E1,E2,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  30 : P_multiply-{T}(E1,E1,E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  31 : P_multiply-{T}(E1,E2,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  32 : P_identity_for-{T}(E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  33 : product-{T}(E2,E1,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  34 : product-{T}(E2,E1,E0,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  35 : product-{T}(E2,E1,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  36 : product-{T}(E2,E0,E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  37 : P_inverse-{T}(E2,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  38 : product-{T}(E2,E1,E2,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  39 : product-{T}(E2,E3,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  40 : P_multiply-{T}(E2,E0,E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  41 : product-{T}(E2,E2,E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  42 : P_multiply-{T}(E2,E1,E0,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  43 : P_multiply-{T}(E2,E1,E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  44 : P_multiply-{T}(E2,E3,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  45 : P_multiply-{T}(E2,E1,E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  46 : P_isomorphism1-{T}(E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  47 : P_isomorphism1-{T}(E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  48 : P_isomorphism2-{T}(E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  49 : P_isomorphism2-{T}(E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  50 : P_isomorphism1-{T}(E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  51 : P_isomorphism2-{T}(E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  52 : P_isomorphism3-{T}(E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  53 : P_isomorphism3-{T}(E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  54 : P_isomorphism3-{T}(E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  55 : P_isomorphism4-{T}(E1,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  56 : P_isomorphism4-{T}(E2,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  57 : P_isomorphism5-{T}(E2,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  58 : P_isomorphism5-{T}(E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  59 : P_isomorphism4-{T}(E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  60 : P_isomorphism5-{T}(E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  61 : P_isomorphism6-{T}(E2,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  62 : P_isomorphism6-{T}(E1,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  63 : P_isomorphism6-{T}(E3,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  64 : P_inverse-{T}(E1,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  65 : product-{T}(E1,E3,E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  66 : product-{T}(E1,E1,E3,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  67 : P_inverse-{T}(E1,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  68 : P_multiply-{T}(E1,E1,E3,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  69 : P_multiply-{T}(E1,E3,E1,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  70 : P_multiply-{T}(E1,E1,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  71 : product-{T}(E1,E1,E1,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  72 : product-{T}(E1,E3,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  73 : P_multiply-{T}(E1,E3,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7 }
% 9.88/10.08  74 : P_inverse-{T}(E2,E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  75 : product-{T}(E2,E0,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  76 : product-{T}(E2,E3,E0,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  77 : P_inverse-{T}(E2,E0,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  78 : P_multiply-{T}(E2,E3,E0,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  79 : P_multiply-{T}(E2,E0,E3,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  80 : P_multiply-{T}(E2,E0,E0,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  81 : product-{T}(E2,E0,E0,E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  82 : product-{T}(E2,E3,E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  83 : P_multiply-{T}(E2,E3,E3,E0)                     { 0, 1, 2, 3, 4, 5, 6, 7, 8 }
% 9.88/10.08  84 : P_d1-{T}(E1)                     { 9 }
% 9.88/10.08  85 : P_d2-{T}(E1)                     { 10 }
% 9.88/10.08  86 : P_d3-{T}(E3)                     { 0, 1, 2, 3, 4, 5, 6, 7, 9, 10 }
% 9.88/10.08  87 : P_identity_for-{T}(E0,E1)                     { 11 }
% 9.88/10.08  88 : group_member-{T}(E1,E0)                     { 11 }
% 9.88/10.08  89 : product-{T}(E0,E1,E0,E0)                     { 11 }
% 9.88/10.08  90 : product-{T}(E0,E0,E1,E0)                     { 11 }
% 9.88/10.08  91 : product-{T}(E0,E1,E1,E1)                     { 0, 11 }
% 9.88/10.08  92 : P_inverse-{T}(E0,E1,E1)                     { 0, 11 }
% 9.88/10.08  93 : P_multiply-{T}(E0,E1,E1,E1)                     { 0, 11 }
% 9.88/10.08  94 : product-{T}(E0,E1,E2,E2)                     { 1, 11 }
% 9.88/10.08  95 : product-{T}(E0,E2,E1,E2)                     { 1, 11 }
% 9.88/10.08  96 : product-{T}(E0,E1,E3,E3)                     { 4, 11 }
% 9.88/10.08  97 : product-{T}(E0,E3,E1,E3)                     { 4, 11 }
% 9.88/10.08  98 : P_isomorphism1-{T}(E0,E1)                     { 12 }
% 9.88/10.08  99 : P_isomorphism2-{T}(E0,E3)                     { 13 }
% 9.88/10.08  100 : P_isomorphism3-{T}(E0,E2)                     { 14 }
% 9.88/10.08  101 : P_isomorphism4-{T}(E0,E0)                     { 15 }
% 9.88/10.08  102 : P_isomorphism5-{T}(E0,E0)                     { 16 }
% 9.88/10.08  103 : P_isomorphism6-{T}(E0,E2)                     { 17 }
% 9.88/10.08  104 : P_inverse-{T}(E0,E0,E2)                     { 18 }
% 9.88/10.08  105 : product-{T}(E0,E2,E0,E1)                     { 11, 18 }
% 9.88/10.08  106 : product-{T}(E0,E0,E2,E1)                     { 11, 18 }
% 9.88/10.08  107 : P_inverse-{T}(E0,E2,E0)                     { 11, 18 }
% 9.88/10.08  108 : P_multiply-{T}(E0,E0,E0,E1)                     { 19 }
% 9.88/10.08  109 : P_inverse-{T}(E1,E0,E0)                     { 0, 20 }
% 9.88/10.08  110 : product-{T}(E1,E0,E0,E2)                     { 0, 1, 2, 3, 4, 5, 6, 7, 20 }
% 9.88/10.08  111 : P_multiply-{T}(E0,E0,E1,E1)                     { 0, 21 }
% 9.88/10.08  112 : P_inverse-{T}(E2,E2,E2)                     { 1, 22 }
% 9.88/10.08  113 : product-{T}(E2,E2,E2,E1)                     { 0, 1, 2, 3, 4, 5, 6, 7, 22 }
% 9.88/10.08  114 : P_multiply-{T}(E0,E1,E0,E3)                     { 0, 23 }
% 9.88/10.08  115 : P_identity_for-{T}(E3,E3)                     { 4, 24 }
% 9.88/10.08  116 : group_member-{T}(E3,E3)                     { 4, 24 }
% 9.88/10.08  117 : product-{T}(E3,E3,E0,E0)                     { 4, 24 }
% 9.88/10.08  118 : product-{T}(E3,E0,E3,E0)                     { 4, 24 }
% 9.88/10.08  119 : product-{T}(E3,E3,E3,E3)                     { 4, 24 }
% 9.88/10.08  120 : P_inverse-{T}(E3,E3,E3)                     { 4, 24 }
% 9.88/10.08  121 : P_multiply-{T}(E3,E3,E3,E3)                     { 4, 24 }
% 9.88/10.08  122 : product-{T}(E3,E3,E1,E1)                     { 0, 4, 24 }
% 9.88/10.08  123 : product-{T}(E3,E1,E3,E1)                     { 0, 4, 24 }
% 9.88/10.08  124 : product-{T}(E3,E3,E2,E2)                     { 1, 4, 24 }
% 9.88/10.08  125 : product-{T}(E3,E2,E3,E2)                     { 1, 4, 24 }
% 9.88/10.08  126 : P_multiply-{T}(E1,E0,E0,E3)                     { 0, 25 }
% 9.88/10.08  127 : P_inverse-{T}(E0,E3,E3)                     { 4, 26 }
% 9.88/10.08  128 : product-{T}(E0,E3,E3,E1)                     { 4, 11, 26 }
% 9.88/10.08  129 : P_multiply-{T}(E1,E0,E1,E0)                     { 0, 27 }
% 9.88/10.08  130 : P_inverse-{T}(E3,E0,E0)                     { 4, 28 }
% 9.88/10.08  131 : product-{T}(E3,E0,E0,E3)                     { 4, 24, 28 }
% 9.88/10.08  132 : P_multiply-{T}(E1,E1,E0,E1)                     { 0, 29 }
% 9.88/10.08  133 : P_inverse-{T}(E3,E1,E2)                     { 0, 4, 30 }
% 9.88/10.08  134 : product-{T}(E3,E2,E1,E3)                     { 0, 4, 24, 30 }
% 9.88/10.08  135 : product-{T}(E3,E1,E2,E3)                     { 0, 4, 24, 30 }
% 9.88/10.08  136 : P_inverse-{T}(E3,E2,E1)                     { 0, 4, 24, 30 }
% 9.88/10.08  137 : P_multiply-{T}(E0,E0,E2,E3)                     { 1, 31 }
% 9.88/10.08  138 : P_multiply-{T}(E0,E2,E0,E3)                     { 1, 32 }
% 9.88/10.08  139 : P_multiply-{T}(E0,E2,E2,E1)                     { 1, 33 }
% 9.88/10.08  140 : P_multiply-{T}(E2,E0,E2,E1)                     { 1, 34 }
% 9.88/10.08  141 : P_multiply-{T}(E2,E2,E0,E0)                     { 1, 35 }
% 9.88/10.08  142 : P_multiply-{T}(E2,E2,E2,E0)                     { 1, 36 }
% 9.88/10.08  143 : P_multiply-{T}(E0,E1,E2,E3)                     { 0, 1, 37 }
% 9.88/10.08  144 : P_multiply-{T}(E0,E2,E1,E0)                     { 0, 1, 38 }
% 9.88/10.08  145 : P_multiply-{T}(E1,E0,E2,E3)                     { 0, 1, 39 }
% 9.88/10.08  146 : P_multiply-{T}(E1,E2,E0,E2)                     { 0, 1, 40 }
% 9.88/10.08  147 : P_multiply-{T}(E2,E1,E2,E3)                     { 0, 1, 41 }
% 9.88/10.08  148 : P_multiply-{T}(E2,E2,E1,E3)                     { 0, 1, 42 }
% 9.88/10.08  149 : P_multiply-{T}(E0,E0,E3,E0)                     { 4, 43 }
% 9.88/10.08  150 : P_multiply-{T}(E0,E3,E0,E3)                     { 4, 44 }
% 9.88/10.08  151 : P_multiply-{T}(E0,E3,E3,E2)                     { 4, 45 }
% 9.88/10.08  152 : P_multiply-{T}(E3,E0,E3,E1)                     { 4, 46 }
% 9.88/10.08  153 : P_multiply-{T}(E3,E0,E0,E3)                     { 4, 47 }
% 9.88/10.08  154 : P_multiply-{T}(E3,E3,E0,E1)                     { 4, 48 }
% 9.88/10.08  155 : P_multiply-{T}(E0,E1,E3,E1)                     { 0, 4, 49 }
% 9.88/10.08  156 : P_multiply-{T}(E0,E3,E1,E1)                     { 0, 4, 50 }
% 9.88/10.08  157 : P_multiply-{T}(E1,E0,E3,E1)                     { 0, 4, 51 }
% 9.88/10.08  158 : P_multiply-{T}(E1,E3,E0,E0)                     { 0, 4, 52 }
% 9.88/10.08  159 : P_multiply-{T}(E3,E0,E1,E1)                     { 0, 4, 53 }
% 9.88/10.08  160 : P_multiply-{T}(E3,E1,E0,E1)                     { 0, 4, 54 }
% 9.88/10.08  161 : P_multiply-{T}(E3,E1,E3,E2)                     { 0, 4, 55 }
% 9.88/10.08  162 : P_multiply-{T}(E3,E1,E1,E3)                     { 0, 4, 56 }
% 9.88/10.08  163 : P_multiply-{T}(E3,E3,E1,E3)                     { 0, 4, 57 }
% 9.88/10.08  164 : P_multiply-{T}(E0,E2,E3,E0)                     { 1, 4, 58 }
% 9.88/10.08  165 : P_multiply-{T}(E0,E3,E2,E0)                     { 1, 4, 59 }
% 9.88/10.08  166 : P_multiply-{T}(E2,E2,E3,E3)                     { 1, 4, 60 }
% 9.88/10.08  167 : P_multiply-{T}(E2,E3,E2,E2)                     { 1, 4, 61 }
% 9.88/10.08  168 : P_multiply-{T}(E3,E0,E2,E0)                     { 1, 4, 62 }
% 9.88/10.08  169 : P_multiply-{T}(E3,E2,E2,E3)                     { 1, 4, 63 }
% 9.88/10.08  170 : P_multiply-{T}(E3,E2,E3,E1)                     { 1, 4, 64 }
% 9.88/10.08  171 : P_multiply-{T}(E3,E2,E0,E0)                     { 1, 4, 65 }
% 9.88/10.08  172 : P_multiply-{T}(E3,E3,E2,E3)                     { 1, 4, 66 }
% 9.88/10.08  173 : P_multiply-{T}(E3,E1,E2,E0)                     { 0, 1, 4, 67 }
% 9.88/10.08  174 : P_multiply-{T}(E3,E2,E1,E1)                     { 0, 1, 4, 68 }
% 9.88/10.08  
% 9.88/10.08  
% 9.88/10.08  % SZS output end Model for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.88/10.08  
% 9.88/10.08  randbase = 1
%------------------------------------------------------------------------------