TSTP Solution File: SYO581+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO581+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 : Fri Sep  1 04:40:11 EDT 2023

% Result   : CounterSatisfiable 4.08s 1.14s
% Output   : Model 4.15s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Negative definition of k04_buttercup10026 
fof(lit_def,axiom,
    ! [X0] :
      ( ~ k04_buttercup10026(X0)
    <=> ( X0 = sK40
        | X0 = sK45
        | X0 = sK110 ) ) ).

%------ Negative definition of k04_buttercup10204 
fof(lit_def_001,axiom,
    ! [X0] :
      ( ~ k04_buttercup10204(X0)
    <=> ( X0 = sK48
        | X0 = sK96
        | X0 = sK101
        | X0 = sK110 ) ) ).

%------ Negative definition of k04_buttercup10619 
fof(lit_def_002,axiom,
    ! [X0] :
      ( ~ k04_buttercup10619(X0)
    <=> ( X0 = sK55
        | X0 = sK60
        | X0 = sK62
        | X0 = sK110 ) ) ).

%------ Negative definition of k04_buttercup10012 
fof(lit_def_003,axiom,
    ! [X0] :
      ( ~ k04_buttercup10012(X0)
    <=> $false ) ).

%------ Negative definition of k04_buttercup10282 
fof(lit_def_004,axiom,
    ! [X0] :
      ( ~ k04_buttercup10282(X0)
    <=> ( X0 = sK110
        | X0 = sK114
        | X0 = sK137 ) ) ).

%------ Negative definition of k04_buttercup10100 
fof(lit_def_005,axiom,
    ! [X0] :
      ( ~ k04_buttercup10100(X0)
    <=> ( X0 = sK66
        | X0 = sK71
        | X0 = sK76
        | X0 = sK82
        | X0 = sK110
        | X0 = sK126
        | X0 = sK130 ) ) ).

%------ Negative definition of k04_buttercup10419 
fof(lit_def_006,axiom,
    ! [X0] :
      ( ~ k04_buttercup10419(X0)
    <=> ( X0 = sK110
        | X0 = sK165
        | X0 = sK169
        | X0 = sK173 ) ) ).

%------ Positive definition of b48_buttercup10307 
fof(lit_def_007,axiom,
    ! [X0] :
      ( b48_buttercup10307(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10308 
fof(lit_def_008,axiom,
    ! [X0] :
      ( b48_buttercup10308(X0)
    <=> $false ) ).

%------ Negative definition of b48_buttercup10222 
fof(lit_def_009,axiom,
    ! [X0] :
      ( ~ b48_buttercup10222(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10191 
fof(lit_def_010,axiom,
    ! [X0] :
      ( b48_buttercup10191(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10193 
fof(lit_def_011,axiom,
    ! [X0] :
      ( b48_buttercup10193(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10195 
fof(lit_def_012,axiom,
    ! [X0] :
      ( b48_buttercup10195(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10133 
fof(lit_def_013,axiom,
    ! [X0] :
      ( b48_buttercup10133(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10134 
fof(lit_def_014,axiom,
    ! [X0] :
      ( b48_buttercup10134(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10343 
fof(lit_def_015,axiom,
    ! [X0] :
      ( b48_buttercup10343(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10344 
fof(lit_def_016,axiom,
    ! [X0] :
      ( b48_buttercup10344(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10348 
fof(lit_def_017,axiom,
    ! [X0] :
      ( b48_buttercup10348(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10352 
fof(lit_def_018,axiom,
    ! [X0] :
      ( b48_buttercup10352(X0)
    <=> $false ) ).

%------ Negative definition of b48_buttercup10440 
fof(lit_def_019,axiom,
    ! [X0] :
      ( ~ b48_buttercup10440(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10441 
fof(lit_def_020,axiom,
    ! [X0] :
      ( b48_buttercup10441(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10478 
fof(lit_def_021,axiom,
    ! [X0] :
      ( b48_buttercup10478(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10483 
fof(lit_def_022,axiom,
    ! [X0] :
      ( b48_buttercup10483(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10166 
fof(lit_def_023,axiom,
    ! [X0] :
      ( b48_buttercup10166(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10167 
fof(lit_def_024,axiom,
    ! [X0] :
      ( b48_buttercup10167(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10169 
fof(lit_def_025,axiom,
    ! [X0] :
      ( b48_buttercup10169(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10120 
fof(lit_def_026,axiom,
    ! [X0] :
      ( b48_buttercup10120(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10320 
fof(lit_def_027,axiom,
    ! [X0] :
      ( b48_buttercup10320(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10173 
fof(lit_def_028,axiom,
    ! [X0] :
      ( b48_buttercup10173(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10174 
fof(lit_def_029,axiom,
    ! [X0] :
      ( b48_buttercup10174(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10574 
fof(lit_def_030,axiom,
    ! [X0] :
      ( b48_buttercup10574(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10154 
fof(lit_def_031,axiom,
    ! [X0] :
      ( b48_buttercup10154(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10156 
fof(lit_def_032,axiom,
    ! [X0] :
      ( b48_buttercup10156(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10158 
fof(lit_def_033,axiom,
    ! [X0] :
      ( b48_buttercup10158(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10159 
fof(lit_def_034,axiom,
    ! [X0] :
      ( b48_buttercup10159(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10160 
fof(lit_def_035,axiom,
    ! [X0] :
      ( b48_buttercup10160(X0)
    <=> $false ) ).

%------ Negative definition of b48_buttercup10458 
fof(lit_def_036,axiom,
    ! [X0] :
      ( ~ b48_buttercup10458(X0)
    <=> $false ) ).

%------ Negative definition of b48_buttercup10029 
fof(lit_def_037,axiom,
    ! [X0] :
      ( ~ b48_buttercup10029(X0)
    <=> ( X0 = sK37
        | X0 = sK39
        | X0 = sK110
        | X0 = sK140 ) ) ).

%------ Positive definition of sP1 
fof(lit_def_038,axiom,
    ( sP1
  <=> $false ) ).

%------ Positive definition of sP0 
fof(lit_def_039,axiom,
    ( sP0
  <=> $true ) ).

%------ Positive definition of b48_buttercup10102 
fof(lit_def_040,axiom,
    ! [X0] :
      ( b48_buttercup10102(X0)
    <=> ( X0 = sK130
        | X0 = sK128
        | X0 = sK434 ) ) ).

%------ Positive definition of b48_buttercup10111 
fof(lit_def_041,axiom,
    ! [X0] :
      ( b48_buttercup10111(X0)
    <=> ( X0 = sK55
        | X0 = sK53
        | X0 = sK458 ) ) ).

%------ Positive definition of sP3 
fof(lit_def_042,axiom,
    ( sP3
  <=> $false ) ).

%------ Positive definition of sP2 
fof(lit_def_043,axiom,
    ( sP2
  <=> $true ) ).

%------ Positive definition of b48_buttercup10109 
fof(lit_def_044,axiom,
    ! [X0] :
      ( b48_buttercup10109(X0)
    <=> ( X0 = sK60
        | X0 = sK58
        | X0 = sK439 ) ) ).

%------ Positive definition of sP5 
fof(lit_def_045,axiom,
    ( sP5
  <=> $false ) ).

%------ Positive definition of sP4 
fof(lit_def_046,axiom,
    ( sP4
  <=> $true ) ).

%------ Positive definition of b48_buttercup10107 
fof(lit_def_047,axiom,
    ! [X0] :
      ( b48_buttercup10107(X0)
    <=> ( X0 = sK71
        | X0 = sK69
        | X0 = sK287
        | X0 = sK437 ) ) ).

%------ Positive definition of b48_buttercup10108 
fof(lit_def_048,axiom,
    ! [X0] :
      ( b48_buttercup10108(X0)
    <=> ( X0 = sK66
        | X0 = sK64
        | X0 = sK438 ) ) ).

%------ Positive definition of sP7 
fof(lit_def_049,axiom,
    ( sP7
  <=> $false ) ).

%------ Positive definition of sP6 
fof(lit_def_050,axiom,
    ( sP6
  <=> $true ) ).

%------ Positive definition of sP9 
fof(lit_def_051,axiom,
    ( sP9
  <=> $false ) ).

%------ Positive definition of sP8 
fof(lit_def_052,axiom,
    ( sP8
  <=> $true ) ).

%------ Positive definition of b48_buttercup10104 
fof(lit_def_053,axiom,
    ! [X0] :
      ( b48_buttercup10104(X0)
    <=> ( X0 = sK76
        | X0 = sK74
        | X0 = sK435 ) ) ).

%------ Positive definition of sP11 
fof(lit_def_054,axiom,
    ( sP11
  <=> $false ) ).

%------ Positive definition of sP10 
fof(lit_def_055,axiom,
    ( sP10
  <=> $true ) ).

%------ Positive definition of b48_buttercup10110 
fof(lit_def_056,axiom,
    ! [X0] :
      ( b48_buttercup10110(X0)
    <=> ( X0 = sK82
        | X0 = sK80
        | X0 = sK459 ) ) ).

%------ Positive definition of sP13 
fof(lit_def_057,axiom,
    ( sP13
  <=> $false ) ).

%------ Positive definition of sP12 
fof(lit_def_058,axiom,
    ( sP12
  <=> $true ) ).

%------ Negative definition of b48_buttercup10289 
fof(lit_def_059,axiom,
    ! [X0] :
      ( ~ b48_buttercup10289(X0)
    <=> ( X0 = sK110
        | X0 = sK111
        | X0 = sK113 ) ) ).

%------ Positive definition of b48_buttercup10421 
fof(lit_def_060,axiom,
    ! [X0] :
      ( b48_buttercup10421(X0)
    <=> ( X0 = sK165
        | X0 = sK163
        | X0 = sK166
        | X0 = sK216
        | X0 = sK325 ) ) ).

%------ Negative definition of b48_buttercup10417 
fof(lit_def_061,axiom,
    ! [X0] :
      ( ~ b48_buttercup10417(X0)
    <=> $false ) ).

%------ Negative definition of b48_buttercup10214 
fof(lit_def_062,axiom,
    ! [X0] :
      ( ~ b48_buttercup10214(X0)
    <=> ( X0 = sK93
        | X0 = sK95
        | X0 = sK110
        | X0 = sK151 ) ) ).

%------ Positive definition of sP15 
fof(lit_def_063,axiom,
    ( sP15
  <=> $false ) ).

%------ Positive definition of sP14 
fof(lit_def_064,axiom,
    ( sP14
  <=> $true ) ).

%------ Negative definition of b48_buttercup10208 
fof(lit_def_065,axiom,
    ! [X0] :
      ( ~ b48_buttercup10208(X0)
    <=> ( X0 = sK98
        | X0 = sK100
        | X0 = sK110
        | X0 = sK152 ) ) ).

%------ Positive definition of sP17 
fof(lit_def_066,axiom,
    ( sP17
  <=> $false ) ).

%------ Positive definition of sP16 
fof(lit_def_067,axiom,
    ( sP16
  <=> $true ) ).

%------ Positive definition of b48_buttercup10179 
fof(lit_def_068,axiom,
    ! [X0] :
      ( b48_buttercup10179(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10398 
fof(lit_def_069,axiom,
    ! [X0] :
      ( b48_buttercup10398(X0)
    <=> $false ) ).

%------ Positive definition of k04_buttercup10004 
fof(lit_def_070,axiom,
    ! [X0] :
      ( k04_buttercup10004(X0)
    <=> X0 = sK248 ) ).

%------ Positive definition of sP19 
fof(lit_def_071,axiom,
    ( sP19
  <=> $false ) ).

%------ Positive definition of sP18 
fof(lit_def_072,axiom,
    ( sP18
  <=> $true ) ).

%------ Positive definition of k04_buttercup10000 
fof(lit_def_073,axiom,
    ! [X0] :
      ( k04_buttercup10000(X0)
    <=> X0 = sK247 ) ).

%------ Positive definition of sP21 
fof(lit_def_074,axiom,
    ( sP21
  <=> $false ) ).

%------ Positive definition of sP20 
fof(lit_def_075,axiom,
    ( sP20
  <=> $true ) ).

%------ Positive definition of b48_buttercup10362 
fof(lit_def_076,axiom,
    ! [X0] :
      ( b48_buttercup10362(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10570 
fof(lit_def_077,axiom,
    ! [X0] :
      ( b48_buttercup10570(X0)
    <=> $false ) ).

%------ Positive definition of b48_buttercup10261 
fof(lit_def_078,axiom,
    ! [X0] :
      ( b48_buttercup10261(X0)
    <=> X0 = sK368 ) ).

%------ Positive definition of b48_buttercup10260 
fof(lit_def_079,axiom,
    ! [X0] :
      ( b48_buttercup10260(X0)
    <=> X0 = sK312 ) ).

%------ Positive definition of b48_buttercup10572 
fof(lit_def_080,axiom,
    ! [X0] :
      ( b48_buttercup10572(X0)
    <=> $false ) ).

%------ Positive definition of sP23 
fof(lit_def_081,axiom,
    ( sP23
  <=> $false ) ).

%------ Positive definition of sP22 
fof(lit_def_082,axiom,
    ( sP22
  <=> $true ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_083,axiom,
    ( sP0_iProver_split
  <=> $false ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_084,axiom,
    ( sP1_iProver_split
  <=> $false ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_085,axiom,
    ( sP2_iProver_split
  <=> $false ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_086,axiom,
    ( sP3_iProver_split
  <=> $false ) ).

%------ Positive definition of sP4_iProver_split 
fof(lit_def_087,axiom,
    ( sP4_iProver_split
  <=> $false ) ).

%------ Positive definition of sP5_iProver_split 
fof(lit_def_088,axiom,
    ( sP5_iProver_split
  <=> $false ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_089,axiom,
    ( sP6_iProver_split
  <=> $false ) ).

%------ Positive definition of sP7_iProver_split 
fof(lit_def_090,axiom,
    ( sP7_iProver_split
  <=> $false ) ).

%------ Positive definition of sP8_iProver_split 
fof(lit_def_091,axiom,
    ( sP8_iProver_split
  <=> $false ) ).

%------ Positive definition of sP9_iProver_split 
fof(lit_def_092,axiom,
    ( sP9_iProver_split
  <=> $false ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_093,axiom,
    ( sP10_iProver_split
  <=> $false ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_094,axiom,
    ( sP11_iProver_split
  <=> $false ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_095,axiom,
    ( sP12_iProver_split
  <=> $false ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_096,axiom,
    ( sP13_iProver_split
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO581+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 03:46:07 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.08/1.14  % SZS status Started for theBenchmark.p
% 4.08/1.14  % SZS status CounterSatisfiable for theBenchmark.p
% 4.08/1.14  
% 4.08/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.08/1.14  
% 4.08/1.14  ------  iProver source info
% 4.08/1.14  
% 4.08/1.14  git: date: 2023-05-31 18:12:56 +0000
% 4.08/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.08/1.14  git: non_committed_changes: false
% 4.08/1.14  git: last_make_outside_of_git: false
% 4.08/1.14  
% 4.08/1.14  ------ Parsing...
% 4.08/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 4.08/1.14  
% 4.08/1.14  
% 4.08/1.14  ------ Preprocessing... sf_s  rm: 53 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe:128:0s pe:256:0s pe_e  sf_s  rm: 111 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.08/1.14  
% 4.08/1.14  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 4.08/1.14   gs_s  sp: 28 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.08/1.14  ------ Proving...
% 4.08/1.14  ------ Problem Properties 
% 4.08/1.14  
% 4.08/1.14  
% 4.08/1.14  clauses                                 132
% 4.08/1.14  conjectures                             0
% 4.08/1.14  EPR                                     132
% 4.08/1.14  Horn                                    111
% 4.08/1.14  unary                                   27
% 4.08/1.14  binary                                  63
% 4.08/1.14  lits                                    300
% 4.08/1.14  lits eq                                 0
% 4.08/1.14  fd_pure                                 0
% 4.08/1.14  fd_pseudo                               0
% 4.08/1.14  fd_cond                                 0
% 4.08/1.14  fd_pseudo_cond                          0
% 4.08/1.14  AC symbols                              0
% 4.08/1.14  
% 4.08/1.14  ------ Schedule EPR non Horn non eq is on
% 4.08/1.14  
% 4.08/1.14  ------ no conjectures: strip conj schedule 
% 4.08/1.14  
% 4.08/1.14  ------ no equalities: superposition off 
% 4.08/1.14  
% 4.08/1.14  ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 4.08/1.14  
% 4.08/1.14  
% 4.08/1.14  ------ 
% 4.08/1.14  Current options:
% 4.08/1.14  ------ 
% 4.08/1.14  
% 4.08/1.14  
% 4.08/1.14  
% 4.08/1.14  
% 4.08/1.14  ------ Proving...
% 4.08/1.14  
% 4.08/1.14  
% 4.08/1.14  % SZS status CounterSatisfiable for theBenchmark.p
% 4.08/1.14  
% 4.08/1.14  ------ Building Model...Done
% 4.08/1.14  
% 4.08/1.14  %------ The model is defined over ground terms (initial term algebra).
% 4.08/1.14  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 4.08/1.14  %------ where \phi is a formula over the term algebra.
% 4.08/1.14  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 4.08/1.14  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 4.08/1.14  %------ See help for --sat_out_model for different model outputs.
% 4.08/1.14  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 4.08/1.14  %------ where the first argument stands for the sort ($i in the unsorted case)
% 4.08/1.14  % SZS output start Model for theBenchmark.p
% See solution above
% 4.15/1.15  
%------------------------------------------------------------------------------