TSTP Solution File: GEO078-6 by iProver-SAT---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : GEO078-6 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n032.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 : Wed Aug 30 23:12:52 EDT 2023

% Result   : Satisfiable 4.12s 1.00s
% Output   : Model 4.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : GEO078-6 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.09  % Command  : run_iprover %s %d SAT
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Tue Aug 29 22:31:17 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.14/0.37  Running model finding
% 0.14/0.37  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.12/1.00  % SZS status Started for theBenchmark.p
% 4.12/1.00  % SZS status Satisfiable for theBenchmark.p
% 4.12/1.00  
% 4.12/1.00  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.12/1.00  
% 4.12/1.00  ------  iProver source info
% 4.12/1.00  
% 4.12/1.00  git: date: 2023-05-31 18:12:56 +0000
% 4.12/1.00  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.12/1.00  git: non_committed_changes: false
% 4.12/1.00  git: last_make_outside_of_git: false
% 4.12/1.00  
% 4.12/1.00  ------ Parsing...successful
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.12/1.00  
% 4.12/1.00  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.12/1.00  
% 4.12/1.00  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.12/1.00  ------ Proving...
% 4.12/1.00  ------ Problem Properties 
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  clauses                                 32
% 4.12/1.00  conjectures                             1
% 4.12/1.00  EPR                                     6
% 4.12/1.00  Horn                                    14
% 4.12/1.00  unary                                   2
% 4.12/1.00  binary                                  11
% 4.12/1.00  lits                                    175
% 4.12/1.00  lits eq                                 45
% 4.12/1.00  fd_pure                                 0
% 4.12/1.00  fd_pseudo                               0
% 4.12/1.00  fd_cond                                 0
% 4.12/1.00  fd_pseudo_cond                          19
% 4.12/1.00  AC symbols                              0
% 4.12/1.00  
% 4.12/1.00  ------ Input Options Time Limit: Unbounded
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  ------ Finite Models:
% 4.12/1.00  
% 4.12/1.00  ------ lit_activity_flag true
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  ------ Trying domains of size >= : 1
% 4.12/1.00  
% 4.12/1.00  ------ Trying domains of size >= : 2
% 4.12/1.00  ------ 
% 4.12/1.00  Current options:
% 4.12/1.00  ------ 
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  ------ Proving...
% 4.12/1.00  
% 4.12/1.00  ------ Trying domains of size >= : 3
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  ------ Proving...
% 4.12/1.00  
% 4.12/1.00  ------ Trying domains of size >= : 4
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  ------ Proving...
% 4.12/1.00  
% 4.12/1.00  
% 4.12/1.00  % SZS status Satisfiable for theBenchmark.p
% 4.12/1.00  
% 4.12/1.00  ------ Building Model...Done
% 4.12/1.00  
% 4.12/1.00  %------ The model is defined over ground terms (initial term algebra).
% 4.12/1.00  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 4.12/1.00  %------ where \phi is a formula over the term algebra.
% 4.12/1.00  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 4.12/1.00  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 4.12/1.00  %------ See help for --sat_out_model for different model outputs.
% 4.12/1.00  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 4.12/1.00  %------ where the first argument stands for the sort ($i in the unsorted case)
% 4.12/1.00  % SZS output start Model for theBenchmark.p
% 4.12/1.00  
% 4.12/1.00  %------ Negative definition of equality_sorted 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0_12,X0_1,X1_1] : 
% 4.12/1.00        ( ~(equality_sorted(X0_12,X0_1,X1_1)) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0_12=$i & X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Negative definition of plane 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0] : 
% 4.12/1.00        ( ~(plane(X0)) <=>
% 4.12/1.00            $false
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of collinear 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1,X2] : 
% 4.12/1.00        ( collinear(X0,X1,X2) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Negative definition of point 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0] : 
% 4.12/1.00        ( ~(point(X0)) <=>
% 4.12/1.00            $false
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of point_on_plane 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( point_on_plane(X0,X1) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X1=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X1=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X1=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Negative definition of point_on_line 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( ~(point_on_line(X0,X1)) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X1=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X0!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of line 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0] : 
% 4.12/1.00        ( line(X0) <=>
% 4.12/1.00            $true
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of line_on_plane 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( line_on_plane(X0,X1) <=>
% 4.12/1.00            $true
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_a_plane 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0] : 
% 4.12/1.00        ( iProver_Flat_a_plane(X0) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_line_from_to 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1,X2] : 
% 4.12/1.00        ( iProver_Flat_line_from_to(X0,X1,X2) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_point_1_on_line 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( iProver_Flat_point_1_on_line(X0,X1) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_point_2_on_line 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( iProver_Flat_point_2_on_line(X0,X1) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_a_point_not_on_line 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( iProver_Flat_a_point_not_on_line(X0,X1) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_at_least_one_line 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0] : 
% 4.12/1.00        ( iProver_Flat_at_least_one_line(X0) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_a_point_on_plane 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( iProver_Flat_a_point_on_plane(X0,X1) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_a_point_not_on_plane 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1] : 
% 4.12/1.00        ( iProver_Flat_a_point_not_on_plane(X0,X1) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_plane_for_points 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1,X2,X3] : 
% 4.12/1.00        ( iProver_Flat_plane_for_points(X0,X1,X2,X3) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00             )
% 4.12/1.00        )
% 4.12/1.00      )
% 4.12/1.00     ).
% 4.12/1.00  
% 4.12/1.00  %------ Positive definition of iProver_Flat_common_point_on_planes 
% 4.12/1.00  fof(lit_def,axiom,
% 4.12/1.00      (! [X0,X1,X2,X3] : 
% 4.12/1.00        ( iProver_Flat_common_point_on_planes(X0,X1,X2,X3) <=>
% 4.12/1.00             (
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X2!=iProver_Domain_i_2 )
% 4.12/1.00                )
% 4.12/1.00  
% 4.12/1.00               | 
% 4.12/1.00                (
% 4.12/1.00                  ( X0=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_2 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_3 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 )
% 4.12/1.00                 &
% 4.12/1.00                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_4 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_4 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X3!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01             )
% 4.12/1.01        )
% 4.12/1.01      )
% 4.12/1.01     ).
% 4.12/1.01  
% 4.12/1.01  %------ Positive definition of iProver_Flat_line_through_3_points 
% 4.12/1.01  fof(lit_def,axiom,
% 4.12/1.01      (! [X0,X1,X2,X3] : 
% 4.12/1.01        ( iProver_Flat_line_through_3_points(X0,X1,X2,X3) <=>
% 4.12/1.01             (
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_4 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_4 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_4 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_4 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_4 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_4 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 | X2!=iProver_Domain_i_4 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_2 | X3!=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X2!=iProver_Domain_i_3 | X3!=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_4 & X3=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X1=iProver_Domain_i_3 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_4 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_3 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X2=iProver_Domain_i_2 & X3=iProver_Domain_i_3 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_1 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01               | 
% 4.12/1.01                (
% 4.12/1.01                  ( X0=iProver_Domain_i_4 & X2=iProver_Domain_i_3 & X3=iProver_Domain_i_1 )
% 4.12/1.01                 &
% 4.12/1.01                  ( X1!=iProver_Domain_i_2 )
% 4.12/1.01                )
% 4.12/1.01  
% 4.12/1.01             )
% 4.12/1.01        )
% 4.12/1.01      )
% 4.12/1.01     ).
% 4.12/1.01  % SZS output end Model for theBenchmark.p
% 4.12/1.01  ------                               Statistics
% 4.12/1.01  
% 4.12/1.01  ------ Selected
% 4.12/1.01  
% 4.12/1.01  sim_connectedness:                      0
% 4.12/1.01  total_time:                             0.472
% 4.12/1.01  inst_time_total:                        0.385
% 4.12/1.01  res_time_total:                         0.003
% 4.12/1.01  sup_time_total:                         0.
% 4.12/1.01  sim_time_fw_connected:                  0.
% 4.12/1.01  
%------------------------------------------------------------------------------