TSTP Solution File: SYO848+1 by iProver-SAT---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : SYO848+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n014.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 04:44:24 EDT 2023

% Result   : CounterSatisfiable 283.83s 37.18s
% Output   : Model 283.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO848+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d SAT
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 03:48:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running model finding
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 283.83/37.18  % SZS status Started for theBenchmark.p
% 283.83/37.18  % SZS status CounterSatisfiable for theBenchmark.p
% 283.83/37.18  
% 283.83/37.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 283.83/37.18  
% 283.83/37.18  ------  iProver source info
% 283.83/37.18  
% 283.83/37.18  git: date: 2023-05-31 18:12:56 +0000
% 283.83/37.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 283.83/37.18  git: non_committed_changes: false
% 283.83/37.18  git: last_make_outside_of_git: false
% 283.83/37.18  
% 283.83/37.18  ------ Parsing...
% 283.83/37.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 283.83/37.18  
% 283.83/37.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 283.83/37.18  
% 283.83/37.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 283.83/37.18  
% 283.83/37.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 283.83/37.18  ------ Proving...
% 283.83/37.18  ------ Problem Properties 
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  clauses                                 81
% 283.83/37.18  conjectures                             2
% 283.83/37.18  EPR                                     7
% 283.83/37.18  Horn                                    72
% 283.83/37.18  unary                                   60
% 283.83/37.18  binary                                  7
% 283.83/37.18  lits                                    122
% 283.83/37.18  lits eq                                 24
% 283.83/37.18  fd_pure                                 0
% 283.83/37.18  fd_pseudo                               0
% 283.83/37.18  fd_cond                                 6
% 283.83/37.18  fd_pseudo_cond                          0
% 283.83/37.18  AC symbols                              0
% 283.83/37.18  
% 283.83/37.18  ------ Input Options Time Limit: Unbounded
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Finite Models:
% 283.83/37.18  
% 283.83/37.18  ------ lit_activity_flag true
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 1
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 2
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 2
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 2
% 283.83/37.18  ------ 
% 283.83/37.18  Current options:
% 283.83/37.18  ------ 
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 2
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 2
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 2
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 3
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 3
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 3
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 3
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 4
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 4
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 4
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 4
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 4
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 4
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 5
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 5
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  ------ Trying domains of size >= : 5
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  ------ Proving...
% 283.83/37.18  
% 283.83/37.18  
% 283.83/37.18  % SZS status CounterSatisfiable for theBenchmark.p
% 283.83/37.18  
% 283.83/37.18  ------ Building Model...Done
% 283.83/37.18  
% 283.83/37.18  %------ The model is defined over ground terms (initial term algebra).
% 283.83/37.18  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 283.83/37.18  %------ where \phi is a formula over the term algebra.
% 283.83/37.18  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 283.83/37.18  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 283.83/37.18  %------ See help for --sat_out_model for different model outputs.
% 283.83/37.18  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 283.83/37.18  %------ where the first argument stands for the sort ($i in the unsorted case)
% 283.83/37.18  % SZS output start Model for theBenchmark.p
% 283.83/37.18  
% 283.83/37.18  %------ Negative definition of equality_sorted 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0_12,X0_1,X1_1] : 
% 283.83/37.18        ( ~(equality_sorted(X0_12,X0_1,X1_1)) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_5 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_5 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_5 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_5 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_5 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_5 & X1=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_5 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0_12=$i & X0=iProver_Domain_i_5 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of aal2 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( aal2(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of asubq 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1] : 
% 283.83/37.18        ( asubq(X0,X1) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_3 | X1!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_4 | X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of ain 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1] : 
% 283.83/37.18        ( ain(X0,X1) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_3 | X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_4 | X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_4 | X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_4 | X1!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X0!=iProver_Domain_i_5 | X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of adisjoint 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1] : 
% 283.83/37.18        ( adisjoint(X0,X1) <=>
% 283.83/37.18            $false
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of aal4 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( aal4(X0) <=>
% 283.83/37.18            $false
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Negative definition of aal5 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( ~(aal5(X0)) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Negative definition of aal3 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( ~(aal3(X0)) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_apow 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1] : 
% 283.83/37.18        ( iProver_Flat_apow(X0,X1) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_5 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_sK0 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1] : 
% 283.83/37.18        ( iProver_Flat_sK0(X0,X1) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_a1 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( iProver_Flat_a1(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_a0 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( iProver_Flat_a0(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_a2 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( iProver_Flat_a2(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_aun 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1,X2] : 
% 283.83/37.18        ( iProver_Flat_aun(X0,X1,X2) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_asm 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1,X2] : 
% 283.83/37.18        ( iProver_Flat_asm(X0,X1,X2) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_asing 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1] : 
% 283.83/37.18        ( iProver_Flat_asing(X0,X1) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_5 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_aint 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0,X1,X2] : 
% 283.83/37.18        ( iProver_Flat_aint(X0,X1,X2) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_1 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_2 )
% 283.83/37.18                 &
% 283.83/37.18                  ( X2!=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18               | 
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_a3 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( iProver_Flat_a3(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_a4 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( iProver_Flat_a4(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_3 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_sK1 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( iProver_Flat_sK1(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_4 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  
% 283.83/37.18  %------ Positive definition of iProver_Flat_sK2 
% 283.83/37.18  fof(lit_def,axiom,
% 283.83/37.18      (! [X0] : 
% 283.83/37.18        ( iProver_Flat_sK2(X0) <=>
% 283.83/37.18             (
% 283.83/37.18                (
% 283.83/37.18                  ( X0=iProver_Domain_i_2 )
% 283.83/37.18                )
% 283.83/37.18  
% 283.83/37.18             )
% 283.83/37.18        )
% 283.83/37.18      )
% 283.83/37.18     ).
% 283.83/37.18  % SZS output end Model for theBenchmark.p
% 283.83/37.18  ------                               Statistics
% 283.83/37.18  
% 283.83/37.18  ------ Problem properties
% 283.83/37.18  
% 283.83/37.18  clauses:                                81
% 283.83/37.18  conjectures:                            2
% 283.83/37.18  epr:                                    7
% 283.83/37.18  horn:                                   72
% 283.83/37.18  ground:                                 59
% 283.83/37.18  unary:                                  60
% 283.83/37.18  binary:                                 7
% 283.83/37.18  lits:                                   122
% 283.83/37.18  lits_eq:                                24
% 283.83/37.18  fd_pure:                                0
% 283.83/37.18  fd_pseudo:                              0
% 283.83/37.18  fd_cond:                                6
% 283.83/37.18  fd_pseudo_cond:                         0
% 283.83/37.18  ac_symbols:                             0
% 283.83/37.18  
% 283.83/37.18  ------ General
% 283.83/37.18  
% 283.83/37.18  abstr_ref_over_cycles:                  0
% 283.83/37.18  abstr_ref_under_cycles:                 0
% 283.83/37.18  gc_basic_clause_elim:                   0
% 283.83/37.18  num_of_symbols:                         183
% 283.83/37.18  num_of_terms:                           11340
% 283.83/37.18  
% 283.83/37.18  parsing_time:                           0.016
% 283.83/37.18  unif_index_cands_time:                  2.698
% 283.83/37.18  unif_index_add_time:                    0.45
% 283.83/37.18  orderings_time:                         0.
% 283.83/37.18  out_proof_time:                         0.
% 283.83/37.18  total_time:                             36.095
% 283.83/37.18  
% 283.83/37.18  ------ Preprocessing
% 283.83/37.18  
% 283.83/37.18  num_of_splits:                          0
% 283.83/37.18  num_of_split_atoms:                     0
% 283.83/37.18  num_of_reused_defs:                     0
% 283.83/37.18  num_eq_ax_congr_red:                    5
% 283.83/37.18  num_of_sem_filtered_clauses:            2
% 283.83/37.18  num_of_subtypes:                        0
% 283.83/37.18  monotx_restored_types:                  0
% 283.83/37.18  sat_num_of_epr_types:                   0
% 283.83/37.18  sat_num_of_non_cyclic_types:            0
% 283.83/37.18  sat_guarded_non_collapsed_types:        0
% 283.83/37.18  num_pure_diseq_elim:                    0
% 283.83/37.18  simp_replaced_by:                       0
% 283.83/37.18  res_preprocessed:                       0
% 283.83/37.18  sup_preprocessed:                       0
% 283.83/37.18  prep_upred:                             0
% 283.83/37.18  prep_unflattend:                        23
% 283.83/37.18  prep_well_definedness:                  0
% 283.83/37.18  smt_new_axioms:                         0
% 283.83/37.18  pred_elim_cands:                        5
% 283.83/37.18  pred_elim:                              1
% 283.83/37.18  pred_elim_cl:                           1
% 283.83/37.18  pred_elim_cycles:                       5
% 283.83/37.18  merged_defs:                            0
% 283.83/37.18  merged_defs_ncl:                        0
% 283.83/37.18  bin_hyper_res:                          0
% 283.83/37.18  prep_cycles:                            4
% 283.83/37.18  
% 283.83/37.18  splitting_time:                         0.
% 283.83/37.18  sem_filter_time:                        0.02
% 283.83/37.18  monotx_time:                            0.
% 283.83/37.18  subtype_inf_time:                       0.
% 283.83/37.18  res_prep_time:                          0.032
% 283.83/37.18  sup_prep_time:                          0.009
% 283.83/37.18  pred_elim_time:                         0.008
% 283.83/37.18  bin_hyper_res_time:                     0.
% 283.83/37.18  prep_time_total:                        0.079
% 283.83/37.18  
% 283.83/37.18  ------ Propositional Solver
% 283.83/37.18  
% 283.83/37.18  prop_solver_calls:                      718
% 283.83/37.18  prop_fast_solver_calls:                 1753
% 283.83/37.18  smt_solver_calls:                       0
% 283.83/37.18  smt_fast_solver_calls:                  0
% 283.83/37.18  prop_num_of_clauses:                    193100
% 283.83/37.18  prop_preprocess_simplified:             546121
% 283.83/37.18  prop_fo_subsumed:                       0
% 283.83/37.18  
% 283.83/37.18  prop_solver_time:                       0.926
% 283.83/37.18  prop_fast_solver_time:                  0.001
% 283.83/37.18  prop_unsat_core_time:                   0.261
% 283.83/37.18  smt_solver_time:                        0.
% 283.83/37.18  smt_fast_solver_time:                   0.
% 283.83/37.18  
% 283.83/37.18  ------ QBF
% 283.83/37.18  
% 283.83/37.18  qbf_q_res:                              0
% 283.83/37.18  qbf_num_tautologies:                    0
% 283.83/37.18  qbf_prep_cycles:                        0
% 283.83/37.18  
% 283.83/37.18  ------ BMC1
% 283.83/37.18  
% 283.83/37.18  bmc1_current_bound:                     -1
% 283.83/37.18  bmc1_last_solved_bound:                 -1
% 283.83/37.18  bmc1_unsat_core_size:                   -1
% 283.83/37.18  bmc1_unsat_core_parents_size:           -1
% 283.83/37.18  bmc1_merge_next_fun:                    0
% 283.83/37.18  
% 283.83/37.18  bmc1_unsat_core_clauses_time:           0.
% 283.83/37.18  
% 283.83/37.18  ------ Instantiation
% 283.83/37.18  
% 283.83/37.18  inst_num_of_clauses:                    2818
% 283.83/37.18  inst_num_in_passive:                    0
% 283.83/37.18  inst_num_in_active:                     146422
% 283.83/37.18  inst_num_of_loops:                      329311
% 283.83/37.18  inst_num_in_unprocessed:                0
% 283.83/37.18  inst_num_of_learning_restarts:          12
% 283.83/37.18  inst_num_moves_active_passive:          182321
% 283.83/37.18  inst_lit_activity:                      0
% 283.83/37.18  inst_lit_activity_moves:                0
% 283.83/37.18  inst_num_tautologies:                   0
% 283.83/37.18  inst_num_prop_implied:                  0
% 283.83/37.18  inst_num_existing_simplified:           0
% 283.83/37.18  inst_num_eq_res_simplified:             0
% 283.83/37.18  inst_num_child_elim:                    0
% 283.83/37.18  inst_num_of_dismatching_blockings:      100032
% 283.83/37.18  inst_num_of_non_proper_insts:           209942
% 283.83/37.18  inst_num_of_duplicates:                 0
% 283.83/37.18  inst_inst_num_from_inst_to_res:         0
% 283.83/37.18  
% 283.83/37.18  inst_time_sim_new:                      10.407
% 283.83/37.18  inst_time_sim_given:                    0.024
% 283.83/37.18  inst_time_dismatching_checking:         1.513
% 283.83/37.18  inst_time_total:                        35.305
% 283.83/37.18  
% 283.83/37.18  ------ Resolution
% 283.83/37.18  
% 283.83/37.18  res_num_of_clauses:                     93
% 283.83/37.18  res_num_in_passive:                     0
% 283.83/37.18  res_num_in_active:                      0
% 283.83/37.18  res_num_of_loops:                       355
% 283.83/37.18  res_forward_subset_subsumed:            1732
% 283.83/37.18  res_backward_subset_subsumed:           0
% 283.83/37.18  res_forward_subsumed:                   0
% 283.83/37.18  res_backward_subsumed:                  0
% 283.83/37.18  res_forward_subsumption_resolution:     0
% 283.83/37.18  res_backward_subsumption_resolution:    0
% 283.83/37.18  res_clause_to_clause_subsumption:       479
% 283.83/37.18  res_subs_bck_cnt:                       1
% 283.83/37.18  res_orphan_elimination:                 0
% 283.83/37.18  res_tautology_del:                      30380
% 283.83/37.18  res_num_eq_res_simplified:              0
% 283.83/37.18  res_num_sel_changes:                    0
% 283.83/37.18  res_moves_from_active_to_pass:          0
% 283.83/37.18  
% 283.83/37.18  res_time_sim_new:                       0.007
% 283.83/37.18  res_time_sim_fw_given:                  0.012
% 283.83/37.18  res_time_sim_bw_given:                  0.007
% 283.83/37.18  res_time_total:                         0.007
% 283.83/37.18  
% 283.83/37.18  ------ Superposition
% 283.83/37.18  
% 283.83/37.18  sup_num_of_clauses:                     undef
% 283.83/37.18  sup_num_in_active:                      undef
% 283.83/37.18  sup_num_in_passive:                     undef
% 283.83/37.18  sup_num_of_loops:                       0
% 283.83/37.18  sup_fw_superposition:                   0
% 283.83/37.18  sup_bw_superposition:                   0
% 283.83/37.18  sup_eq_factoring:                       0
% 283.83/37.18  sup_eq_resolution:                      0
% 283.83/37.18  sup_immediate_simplified:               0
% 283.83/37.18  sup_given_eliminated:                   0
% 283.83/37.18  comparisons_done:                       59
% 283.83/37.18  comparisons_avoided:                    0
% 283.83/37.18  comparisons_inc_criteria:               0
% 283.83/37.18  sup_deep_cl_discarded:                  0
% 283.83/37.18  sup_num_of_deepenings:                  0
% 283.83/37.18  sup_num_of_restarts:                    0
% 283.83/37.18  
% 283.83/37.18  sup_time_generating:                    0.
% 283.83/37.18  sup_time_sim_fw_full:                   0.
% 283.83/37.18  sup_time_sim_bw_full:                   0.
% 283.83/37.18  sup_time_sim_fw_immed:                  0.
% 283.83/37.18  sup_time_sim_bw_immed:                  0.
% 283.83/37.18  sup_time_prep_sim_fw_input:             0.003
% 283.83/37.18  sup_time_prep_sim_bw_input:             0.005
% 283.83/37.18  sup_time_total:                         0.
% 283.83/37.18  
% 283.83/37.18  ------ Simplifications
% 283.83/37.18  
% 283.83/37.18  sim_repeated:                           0
% 283.83/37.18  sim_fw_subset_subsumed:                 0
% 283.83/37.18  sim_bw_subset_subsumed:                 0
% 283.83/37.18  sim_fw_subsumed:                        0
% 283.83/37.18  sim_bw_subsumed:                        0
% 283.83/37.18  sim_fw_subsumption_res:                 0
% 283.83/37.18  sim_bw_subsumption_res:                 0
% 283.83/37.18  sim_fw_unit_subs:                       0
% 283.83/37.18  sim_bw_unit_subs:                       0
% 283.83/37.18  sim_tautology_del:                      0
% 283.83/37.18  sim_eq_tautology_del:                   0
% 283.83/37.18  sim_eq_res_simp:                        0
% 283.83/37.18  sim_fw_demodulated:                     0
% 283.83/37.18  sim_bw_demodulated:                     0
% 283.83/37.18  sim_encompassment_demod:                0
% 283.83/37.18  sim_light_normalised:                   0
% 283.83/37.18  sim_ac_normalised:                      0
% 283.83/37.18  sim_joinable_taut:                      0
% 283.83/37.18  sim_joinable_simp:                      0
% 283.83/37.18  sim_fw_ac_demod:                        0
% 283.83/37.18  sim_bw_ac_demod:                        0
% 283.83/37.18  sim_smt_subsumption:                    0
% 283.83/37.18  sim_smt_simplified:                     0
% 283.83/37.18  sim_ground_joinable:                    0
% 283.83/37.18  sim_bw_ground_joinable:                 0
% 283.83/37.18  sim_connectedness:                      0
% 283.83/37.18  
% 283.83/37.18  sim_time_fw_subset_subs:                0.
% 283.83/37.18  sim_time_bw_subset_subs:                0.
% 283.83/37.18  sim_time_fw_subs:                       0.
% 283.83/37.18  sim_time_bw_subs:                       0.
% 283.83/37.18  sim_time_fw_subs_res:                   0.001
% 283.83/37.18  sim_time_bw_subs_res:                   0.
% 283.83/37.18  sim_time_fw_unit_subs:                  0.
% 283.83/37.18  sim_time_bw_unit_subs:                  0.
% 283.83/37.18  sim_time_tautology_del:                 0.
% 283.83/37.18  sim_time_eq_tautology_del:              0.
% 283.83/37.18  sim_time_eq_res_simp:                   0.
% 283.83/37.18  sim_time_fw_demod:                      0.
% 283.83/37.18  sim_time_bw_demod:                      0.
% 283.83/37.18  sim_time_light_norm:                    0.
% 283.83/37.18  sim_time_joinable:                      0.
% 283.83/37.18  sim_time_ac_norm:                       0.
% 283.83/37.18  sim_time_fw_ac_demod:                   0.
% 283.83/37.18  sim_time_bw_ac_demod:                   0.
% 283.83/37.18  sim_time_smt_subs:                      0.
% 283.83/37.19  sim_time_fw_gjoin:                      0.
% 283.83/37.19  sim_time_fw_connected:                  0.
% 283.83/37.19  
% 283.83/37.20  
%------------------------------------------------------------------------------