TSTP Solution File: SYN435-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN435-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 03:07:10 EDT 2023

% Result   : Satisfiable 3.60s 1.17s
% Output   : Model 3.60s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of hskp51 
fof(lit_def,axiom,
    ( hskp51
  <=> $true ) ).

%------ Positive definition of hskp52 
fof(lit_def_001,axiom,
    ( hskp52
  <=> $true ) ).

%------ Positive definition of ndr1_0 
fof(lit_def_002,axiom,
    ( ndr1_0
  <=> $true ) ).

%------ Positive definition of hskp49 
fof(lit_def_003,axiom,
    ( hskp49
  <=> $false ) ).

%------ Positive definition of hskp48 
fof(lit_def_004,axiom,
    ( hskp48
  <=> $true ) ).

%------ Positive definition of hskp46 
fof(lit_def_005,axiom,
    ( hskp46
  <=> $true ) ).

%------ Positive definition of hskp45 
fof(lit_def_006,axiom,
    ( hskp45
  <=> $true ) ).

%------ Positive definition of hskp43 
fof(lit_def_007,axiom,
    ( hskp43
  <=> $false ) ).

%------ Positive definition of hskp42 
fof(lit_def_008,axiom,
    ( hskp42
  <=> $true ) ).

%------ Positive definition of hskp41 
fof(lit_def_009,axiom,
    ( hskp41
  <=> $false ) ).

%------ Positive definition of hskp40 
fof(lit_def_010,axiom,
    ( hskp40
  <=> $false ) ).

%------ Positive definition of hskp39 
fof(lit_def_011,axiom,
    ( hskp39
  <=> $false ) ).

%------ Positive definition of hskp38 
fof(lit_def_012,axiom,
    ( hskp38
  <=> $false ) ).

%------ Positive definition of hskp37 
fof(lit_def_013,axiom,
    ( hskp37
  <=> $false ) ).

%------ Positive definition of hskp36 
fof(lit_def_014,axiom,
    ( hskp36
  <=> $false ) ).

%------ Positive definition of hskp35 
fof(lit_def_015,axiom,
    ( hskp35
  <=> $true ) ).

%------ Positive definition of hskp34 
fof(lit_def_016,axiom,
    ( hskp34
  <=> $true ) ).

%------ Positive definition of hskp33 
fof(lit_def_017,axiom,
    ( hskp33
  <=> $false ) ).

%------ Positive definition of hskp32 
fof(lit_def_018,axiom,
    ( hskp32
  <=> $true ) ).

%------ Positive definition of hskp31 
fof(lit_def_019,axiom,
    ( hskp31
  <=> $false ) ).

%------ Positive definition of hskp30 
fof(lit_def_020,axiom,
    ( hskp30
  <=> $true ) ).

%------ Positive definition of hskp29 
fof(lit_def_021,axiom,
    ( hskp29
  <=> $false ) ).

%------ Positive definition of hskp27 
fof(lit_def_022,axiom,
    ( hskp27
  <=> $true ) ).

%------ Positive definition of hskp26 
fof(lit_def_023,axiom,
    ( hskp26
  <=> $true ) ).

%------ Positive definition of hskp25 
fof(lit_def_024,axiom,
    ( hskp25
  <=> $true ) ).

%------ Positive definition of hskp24 
fof(lit_def_025,axiom,
    ( hskp24
  <=> $false ) ).

%------ Positive definition of hskp21 
fof(lit_def_026,axiom,
    ( hskp21
  <=> $false ) ).

%------ Positive definition of hskp19 
fof(lit_def_027,axiom,
    ( hskp19
  <=> $false ) ).

%------ Positive definition of hskp18 
fof(lit_def_028,axiom,
    ( hskp18
  <=> $false ) ).

%------ Positive definition of hskp17 
fof(lit_def_029,axiom,
    ( hskp17
  <=> $false ) ).

%------ Positive definition of hskp16 
fof(lit_def_030,axiom,
    ( hskp16
  <=> $false ) ).

%------ Positive definition of hskp15 
fof(lit_def_031,axiom,
    ( hskp15
  <=> $false ) ).

%------ Positive definition of hskp14 
fof(lit_def_032,axiom,
    ( hskp14
  <=> $true ) ).

%------ Positive definition of hskp13 
fof(lit_def_033,axiom,
    ( hskp13
  <=> $true ) ).

%------ Positive definition of hskp12 
fof(lit_def_034,axiom,
    ( hskp12
  <=> $false ) ).

%------ Positive definition of hskp11 
fof(lit_def_035,axiom,
    ( hskp11
  <=> $false ) ).

%------ Positive definition of hskp10 
fof(lit_def_036,axiom,
    ( hskp10
  <=> $false ) ).

%------ Positive definition of hskp9 
fof(lit_def_037,axiom,
    ( hskp9
  <=> $false ) ).

%------ Positive definition of hskp8 
fof(lit_def_038,axiom,
    ( hskp8
  <=> $false ) ).

%------ Positive definition of hskp7 
fof(lit_def_039,axiom,
    ( hskp7
  <=> $true ) ).

%------ Positive definition of hskp6 
fof(lit_def_040,axiom,
    ( hskp6
  <=> $true ) ).

%------ Positive definition of hskp5 
fof(lit_def_041,axiom,
    ( hskp5
  <=> $false ) ).

%------ Positive definition of hskp4 
fof(lit_def_042,axiom,
    ( hskp4
  <=> $false ) ).

%------ Positive definition of hskp3 
fof(lit_def_043,axiom,
    ( hskp3
  <=> $false ) ).

%------ Positive definition of hskp2 
fof(lit_def_044,axiom,
    ( hskp2
  <=> $false ) ).

%------ Positive definition of hskp1 
fof(lit_def_045,axiom,
    ( hskp1
  <=> $false ) ).

%------ Positive definition of hskp0 
fof(lit_def_046,axiom,
    ( hskp0
  <=> $true ) ).

%------ Negative definition of c2_1 
fof(lit_def_047,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
    <=> ( X0 = a342
        | X0 = a330
        | X0 = a325
        | X0 = a316
        | X0 = a288
        | X0 = a285
        | X0 = a327
        | X0 = a317
        | X0 = a311
        | X0 = a294
        | X0 = a347
        | X0 = a337
        | X0 = a324
        | X0 = a312
        | X0 = a290 ) ) ).

%------ Positive definition of c1_1 
fof(lit_def_048,axiom,
    ! [X0] :
      ( c1_1(X0)
    <=> ( X0 = a345
        | X0 = a340
        | X0 = a335
        | X0 = a334
        | X0 = a331
        | X0 = a315
        | X0 = a307
        | X0 = a305
        | X0 = a304
        | X0 = a303
        | X0 = a302
        | X0 = a298
        | X0 = a296
        | X0 = a293
        | X0 = a286
        | X0 = a284
        | X0 = a336
        | X0 = a333
        | X0 = a326
        | X0 = a322
        | X0 = a319
        | X0 = a309
        | X0 = a318
        | X0 = a310
        | X0 = a292 ) ) ).

%------ Negative definition of c0_1 
fof(lit_def_049,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
    <=> ( X0 = a345
        | X0 = a340
        | X0 = a335
        | X0 = a334
        | X0 = a331
        | X0 = a315
        | X0 = a307
        | X0 = a305
        | X0 = a304
        | X0 = a303
        | X0 = a302
        | X0 = a298
        | X0 = a296
        | X0 = a293
        | X0 = a288
        | X0 = a286
        | X0 = a284
        | X0 = a336
        | X0 = a333
        | X0 = a327
        | X0 = a326
        | X0 = a322
        | X0 = a319
        | X0 = a309
        | X0 = a347
        | X0 = a337
        | X0 = a324
        | X0 = a318
        | X0 = a312
        | X0 = a310
        | X0 = a292
        | X0 = a290 ) ) ).

%------ Negative definition of c3_1 
fof(lit_def_050,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
    <=> ( X0 = a345
        | X0 = a340
        | X0 = a335
        | X0 = a334
        | X0 = a331
        | X0 = a316
        | X0 = a315
        | X0 = a307
        | X0 = a305
        | X0 = a304
        | X0 = a303
        | X0 = a302
        | X0 = a298
        | X0 = a296
        | X0 = a293
        | X0 = a286
        | X0 = a284
        | X0 = a336
        | X0 = a333
        | X0 = a326
        | X0 = a322
        | X0 = a319
        | X0 = a309
        | X0 = a299
        | X0 = a297
        | X0 = a337
        | X0 = a324
        | X0 = a318
        | X0 = a312
        | X0 = a310
        | X0 = a292
        | X0 = a290 ) ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_051,axiom,
    ( sP0_iProver_split
  <=> $false ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_052,axiom,
    ( sP1_iProver_split
  <=> $false ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_053,axiom,
    ( sP2_iProver_split
  <=> $true ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_054,axiom,
    ( sP3_iProver_split
  <=> $false ) ).

%------ Positive definition of sP4_iProver_split 
fof(lit_def_055,axiom,
    ( sP4_iProver_split
  <=> $false ) ).

%------ Positive definition of sP5_iProver_split 
fof(lit_def_056,axiom,
    ( sP5_iProver_split
  <=> $true ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_057,axiom,
    ( sP6_iProver_split
  <=> $false ) ).

%------ Positive definition of sP7_iProver_split 
fof(lit_def_058,axiom,
    ( sP7_iProver_split
  <=> $false ) ).

%------ Positive definition of sP8_iProver_split 
fof(lit_def_059,axiom,
    ( sP8_iProver_split
  <=> $false ) ).

%------ Positive definition of sP9_iProver_split 
fof(lit_def_060,axiom,
    ( sP9_iProver_split
  <=> $false ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_061,axiom,
    ( sP10_iProver_split
  <=> $false ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_062,axiom,
    ( sP11_iProver_split
  <=> $false ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_063,axiom,
    ( sP12_iProver_split
  <=> $false ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_064,axiom,
    ( sP13_iProver_split
  <=> $true ) ).

%------ Positive definition of sP14_iProver_split 
fof(lit_def_065,axiom,
    ( sP14_iProver_split
  <=> $false ) ).

%------ Positive definition of sP15_iProver_split 
fof(lit_def_066,axiom,
    ( sP15_iProver_split
  <=> $true ) ).

%------ Positive definition of sP16_iProver_split 
fof(lit_def_067,axiom,
    ( sP16_iProver_split
  <=> $false ) ).

%------ Positive definition of sP17_iProver_split 
fof(lit_def_068,axiom,
    ( sP17_iProver_split
  <=> $false ) ).

%------ Positive definition of sP18_iProver_split 
fof(lit_def_069,axiom,
    ( sP18_iProver_split
  <=> $true ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_070,axiom,
    ( sP19_iProver_split
  <=> $false ) ).

%------ Positive definition of sP20_iProver_split 
fof(lit_def_071,axiom,
    ( sP20_iProver_split
  <=> $true ) ).

%------ Positive definition of sP21_iProver_split 
fof(lit_def_072,axiom,
    ( sP21_iProver_split
  <=> $true ) ).

%------ Positive definition of sP22_iProver_split 
fof(lit_def_073,axiom,
    ( sP22_iProver_split
  <=> $false ) ).

%------ Positive definition of sP23_iProver_split 
fof(lit_def_074,axiom,
    ( sP23_iProver_split
  <=> $false ) ).

%------ Positive definition of sP24_iProver_split 
fof(lit_def_075,axiom,
    ( sP24_iProver_split
  <=> $true ) ).

%------ Positive definition of sP25_iProver_split 
fof(lit_def_076,axiom,
    ( sP25_iProver_split
  <=> $false ) ).

%------ Positive definition of sP26_iProver_split 
fof(lit_def_077,axiom,
    ( sP26_iProver_split
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN435-1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 16:49:54 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.60/1.17  % SZS status Started for theBenchmark.p
% 3.60/1.17  % SZS status Satisfiable for theBenchmark.p
% 3.60/1.17  
% 3.60/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.60/1.17  
% 3.60/1.17  ------  iProver source info
% 3.60/1.17  
% 3.60/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.60/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.60/1.17  git: non_committed_changes: false
% 3.60/1.17  git: last_make_outside_of_git: false
% 3.60/1.17  
% 3.60/1.17  ------ Parsing...successful
% 3.60/1.17  
% 3.60/1.17  ------  preprocesses with Option_epr_non_horn_non_eq
% 3.60/1.17  
% 3.60/1.17  
% 3.60/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.60/1.17  
% 3.60/1.17  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.60/1.17   gs_s  sp: 51 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.60/1.17  ------ Proving...
% 3.60/1.17  ------ Problem Properties 
% 3.60/1.17  
% 3.60/1.17  
% 3.60/1.17  clauses                                 219
% 3.60/1.17  conjectures                             198
% 3.60/1.17  EPR                                     219
% 3.60/1.17  Horn                                    152
% 3.60/1.17  unary                                   0
% 3.60/1.17  binary                                  141
% 3.60/1.17  lits                                    544
% 3.60/1.18  lits eq                                 0
% 3.60/1.18  fd_pure                                 0
% 3.60/1.18  fd_pseudo                               0
% 3.60/1.18  fd_cond                                 0
% 3.60/1.18  fd_pseudo_cond                          0
% 3.60/1.18  AC symbols                              0
% 3.60/1.18  
% 3.60/1.18  ------ Schedule EPR non Horn non eq is on
% 3.60/1.18  
% 3.60/1.18  ------ no equalities: superposition off 
% 3.60/1.18  
% 3.60/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.60/1.18  
% 3.60/1.18  
% 3.60/1.18  ------ 
% 3.60/1.18  Current options:
% 3.60/1.18  ------ 
% 3.60/1.18  
% 3.60/1.18  
% 3.60/1.18  
% 3.60/1.18  
% 3.60/1.18  ------ Proving...
% 3.60/1.18  
% 3.60/1.18  
% 3.60/1.18  % SZS status Satisfiable for theBenchmark.p
% 3.60/1.18  
% 3.60/1.18  ------ Building Model...Done
% 3.60/1.18  
% 3.60/1.18  %------ The model is defined over ground terms (initial term algebra).
% 3.60/1.18  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 3.60/1.18  %------ where \phi is a formula over the term algebra.
% 3.60/1.18  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 3.60/1.18  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.60/1.18  %------ See help for --sat_out_model for different model outputs.
% 3.60/1.18  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.60/1.18  %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.60/1.18  % SZS output start Model for theBenchmark.p
% See solution above
% 3.60/1.18  
%------------------------------------------------------------------------------