TSTP Solution File: PUZ057-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PUZ057-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 : Thu Aug 31 13:19:48 EDT 2023

% Result   : Satisfiable 13.91s 2.68s
% Output   : Model 13.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ057-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 21:55:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 13.91/2.68  % SZS status Started for theBenchmark.p
% 13.91/2.68  % SZS status Satisfiable for theBenchmark.p
% 13.91/2.68  
% 13.91/2.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.91/2.68  
% 13.91/2.68  ------  iProver source info
% 13.91/2.68  
% 13.91/2.68  git: date: 2023-05-31 18:12:56 +0000
% 13.91/2.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.91/2.68  git: non_committed_changes: false
% 13.91/2.68  git: last_make_outside_of_git: false
% 13.91/2.68  
% 13.91/2.68  ------ Parsing...successful
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 13.91/2.68  
% 13.91/2.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 13.91/2.68  
% 13.91/2.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 13.91/2.68  ------ Proving...
% 13.91/2.68  ------ Problem Properties 
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  clauses                                 8
% 13.91/2.68  conjectures                             0
% 13.91/2.68  EPR                                     0
% 13.91/2.68  Horn                                    8
% 13.91/2.68  unary                                   7
% 13.91/2.68  binary                                  0
% 13.91/2.68  lits                                    10
% 13.91/2.68  lits eq                                 3
% 13.91/2.68  fd_pure                                 0
% 13.91/2.68  fd_pseudo                               0
% 13.91/2.68  fd_cond                                 0
% 13.91/2.68  fd_pseudo_cond                          0
% 13.91/2.68  AC symbols                              0
% 13.91/2.68  
% 13.91/2.68  ------ Input Options Time Limit: Unbounded
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  ------ 
% 13.91/2.68  Current options:
% 13.91/2.68  ------ 
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  ------ Proving...
% 13.91/2.68  
% 13.91/2.68  
% 13.91/2.68  % SZS status Satisfiable for theBenchmark.p
% 13.91/2.68  
% 13.91/2.68  ------ Building Model...Done
% 13.91/2.68  
% 13.91/2.68  %------ The model is defined over ground terms (initial term algebra).
% 13.91/2.68  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 13.91/2.68  %------ where \phi is a formula over the term algebra.
% 13.91/2.68  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 13.91/2.68  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 13.91/2.68  %------ See help for --sat_out_model for different model outputs.
% 13.91/2.68  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 13.91/2.68  %------ where the first argument stands for the sort ($i in the unsorted case)
% 13.91/2.68  % SZS output start Model for theBenchmark.p
% 13.91/2.68  
% 13.91/2.68  %------ Positive definition of equality_sorted 
% 13.91/2.68  fof(lit_def,axiom,
% 13.91/2.68      (! [X0_12,X0_1,X1_1] : 
% 13.91/2.68        ( equality_sorted(X0_12,X0_1,X1_1) <=>
% 13.91/2.68             (
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=$o & X1_1=X0_1 )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=pin(n1) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,on(medium,on(large,pin(n1)))) | X1_13!=pin(n1) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,on(medium,on(large,pin(n1)))),nextto(pin(n2),pin(n3))) | X1_13!=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(large,X0_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(medium,X0_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ! [X0_15] : ( X0_13!=pin(X0_15) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,pin(n1)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),on(small,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n2),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(medium,pin(n2)),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),on(small,on(medium,pin(n2)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=pin(X0_15) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=on(large,X1_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=on(medium,X1_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=on(small,pin(n1)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n1),pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=on(small,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n1),on(small,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(on(small,pin(n1)),pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n2),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(on(medium,pin(n2)),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(on(small,pin(n1)),on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=on(small,on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n1),on(small,on(medium,pin(n2)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(on(small,on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X1_13!=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=pin(n1) & X1_13=pin(n1) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=pin(n2) & X1_13=pin(n2) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(large,pin(n3)) & X1_13=on(large,pin(n3)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(medium,on(large,pin(n3))) & X1_13=on(medium,on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(small,on(medium,on(large,pin(n3)))) & X1_13=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=pin(X0_15) & X1_13=pin(X0_15) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_15!=n1 )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_15!=n2 )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_14,X2_13,X3_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(X0_14,X2_13) & X1_13=on(X0_14,X3_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X2_13!=pin(n1) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X2_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X2_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X2_13!=on(medium,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X3_13!=pin(n1) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X3_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X3_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=small | X3_13!=on(medium,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=medium )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=medium | X2_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=medium | X2_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=medium | X3_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=medium | X3_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=large )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=large | X2_13!=pin(n3) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_14!=large | X3_13!=pin(n3) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(small,pin(n1)) & X1_13=on(small,pin(n1)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(large,X2_13) & X1_13=on(large,X2_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n3) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(large,X2_13) & X1_13=on(large,X3_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n3) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X3_13!=pin(n3) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(medium,X2_13) & X1_13=on(medium,X2_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(large,pin(n3)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(medium,X2_13) & X1_13=on(medium,X3_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X3_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X3_13!=on(large,pin(n3)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),pin(n2)) & X1_13=nextto(pin(n1),pin(n2)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(small,pin(n2)) & X1_13=on(small,pin(n2)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),on(small,pin(n2))) & X1_13=nextto(pin(n1),on(small,pin(n2))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),on(small,pin(n2))) & X1_13=nextto(on(small,pin(n1)),pin(n2)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),pin(n2)) & X1_13=nextto(pin(n1),on(small,pin(n2))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),pin(n2)) & X1_13=nextto(on(small,pin(n1)),pin(n2)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n2),on(medium,on(large,pin(n3)))) & X1_13=nextto(pin(n2),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n2),on(medium,on(large,pin(n3)))) & X1_13=nextto(on(medium,pin(n2)),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13,X5_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(X2_13,X3_13) & X1_13=nextto(X4_13,X5_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=on(small,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=on(small,on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=nextto(on(small,on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,on(medium,on(large,pin(n1)))) | X3_13!=nextto(pin(n2),pin(n3)) | X4_13!=pin(n1) | X5_13!=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n2) | X3_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n2) | X3_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,pin(n1)) | X3_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,pin(n1)) | X3_13!=nextto(pin(n2),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,pin(n1)) | X3_13!=on(medium,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,pin(n1)) | X3_13!=nextto(on(medium,pin(n2)),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=nextto(pin(n1),pin(n2)) | X3_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,pin(n2)) | X3_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=nextto(pin(n1),on(small,pin(n2))) | X3_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=nextto(on(small,pin(n1)),pin(n2)) | X3_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(medium,pin(n2)) | X3_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=nextto(on(small,pin(n1)),on(medium,pin(n2))) | X3_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,on(medium,pin(n2))) | X3_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=nextto(pin(n1),on(small,on(medium,pin(n2)))) | X3_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n1) | X5_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n1) | X5_13!=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n1) | X5_13!=on(small,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n1) | X5_13!=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n1) | X5_13!=on(small,on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n1) | X5_13!=nextto(on(small,on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n2) | X5_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=pin(n2) | X5_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=on(small,pin(n1)) | X5_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=on(small,pin(n1)) | X5_13!=nextto(pin(n2),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=on(small,pin(n1)) | X5_13!=on(medium,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=on(small,pin(n1)) | X5_13!=nextto(on(medium,pin(n2)),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=nextto(pin(n1),pin(n2)) | X5_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=on(small,pin(n2)) | X5_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=nextto(pin(n1),on(small,pin(n2))) | X5_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=nextto(on(small,pin(n1)),pin(n2)) | X5_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=on(medium,pin(n2)) | X5_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=nextto(on(small,pin(n1)),on(medium,pin(n2))) | X5_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=on(small,on(medium,pin(n2))) | X5_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X4_13!=nextto(pin(n1),on(small,on(medium,pin(n2)))) | X5_13!=on(large,pin(n3)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(medium,pin(n2)) & X1_13=on(medium,pin(n2)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(medium,pin(n2)),on(large,pin(n3))) & X1_13=nextto(pin(n2),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(medium,pin(n2)),on(large,pin(n3))) & X1_13=nextto(on(medium,pin(n2)),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),on(medium,pin(n2))) & X1_13=nextto(on(small,pin(n1)),on(medium,pin(n2))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(n1)),on(medium,pin(n2))) & X1_13=nextto(pin(n1),on(small,on(medium,pin(n2)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(X2_13,X3_13),X4_13) & X1_13=nextto(X2_13,nextto(X3_13,X4_13)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=pin(n2) | X4_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=on(small,pin(n2)) | X4_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=pin(n1) | X3_13!=on(small,on(medium,pin(n2))) | X4_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,pin(n1)) | X3_13!=pin(n2) | X4_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X2_13!=on(small,pin(n1)) | X3_13!=on(medium,pin(n2)) | X4_13!=on(large,pin(n3)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=on(small,on(medium,pin(n2))) & X1_13=on(small,on(medium,pin(n2))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),on(small,on(medium,pin(n2)))) & X1_13=nextto(on(small,pin(n1)),on(medium,pin(n2))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),on(small,on(medium,pin(n2)))) & X1_13=nextto(pin(n1),on(small,on(medium,pin(n2)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13,X5_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(X2_13,X3_13),nextto(X4_13,X5_13)) & X1_13=nextto(X2_13,nextto(nextto(X3_13,X4_13),X5_13)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,on(medium,pin(n2))),on(large,pin(n3))) & X1_13=nextto(on(small,on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) & X1_13=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15,X1_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(large,pin(X0_15)),pin(X1_15)) & X1_13=nextto(pin(X0_15),on(large,pin(X1_15))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15,X1_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(medium,pin(X0_15)),pin(X1_15)) & X1_13=nextto(pin(X0_15),on(medium,pin(X1_15))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15,X1_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(X0_15)),pin(X1_15)) & X1_13=nextto(pin(X0_15),on(small,pin(X1_15))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_15!=n1 | X1_15!=n2 )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(medium,on(large,X2_13)),on(large,X3_13)) & X1_13=nextto(on(large,X2_13),on(medium,on(large,X3_13))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,on(medium,X2_13)),on(medium,X3_13)) & X1_13=nextto(on(medium,X2_13),on(small,on(medium,X3_13))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13,X5_13,X6_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(X2_13,nextto(X3_13,nextto(X4_13,X5_13))),X6_13) & X1_13=nextto(nextto(nextto(X2_13,X3_13),X4_13),nextto(X5_13,X6_13)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13,X5_13,X6_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(X2_13,nextto(X3_13,nextto(X4_13,X5_13))),X6_13) & X1_13=nextto(nextto(X2_13,nextto(X3_13,X4_13)),nextto(X5_13,X6_13)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13,X5_13,X6_13,X7_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(nextto(X2_13,X3_13),nextto(X4_13,nextto(X5_13,X6_13))),X7_13) & X1_13=nextto(nextto(nextto(X2_13,nextto(X3_13,X4_13)),X5_13),nextto(X6_13,X7_13)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13,X5_13,X6_13,X7_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(X2_13,nextto(nextto(X3_13,X4_13),nextto(X5_13,X6_13))),X7_13) & X1_13=nextto(nextto(X2_13,nextto(X3_13,nextto(X4_13,X5_13))),nextto(X6_13,X7_13)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X3_13,X4_13,X5_13,X6_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(nextto(nextto(X2_13,X3_13),nextto(X4_13,X5_13)),X6_13) & X1_13=nextto(nextto(X2_13,nextto(X3_13,X4_13)),nextto(X5_13,X6_13)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15,X2_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(medium,pin(X0_15)),on(large,X2_13)) & X1_13=nextto(pin(X0_15),on(medium,on(large,X2_13))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_15!=n2 | X2_13!=pin(n3) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15,X2_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,pin(X0_15)),on(medium,X2_13)) & X1_13=nextto(pin(X0_15),on(small,on(medium,X2_13))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_15!=n1 | X2_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_15!=n2 | X2_13!=on(large,pin(n3)) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X0_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(medium,on(large,X2_13)),pin(X0_15)) & X1_13=nextto(on(large,X2_13),on(medium,pin(X0_15))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X2_13,X0_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X0_13=nextto(on(small,on(medium,X2_13)),pin(X0_15)) & X1_13=nextto(on(medium,X2_13),on(small,pin(X0_15))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_12=iProver_nextto_2_$i & X1_13=X0_13 )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=pin(n1) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=pin(n2) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(large,pin(n3)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(medium,on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(large,X0_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(medium,X0_13) )
% 13.91/2.68                 &
% 13.91/2.68                  ! [X0_15] : ( X0_13!=pin(X0_15) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,pin(n1)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(pin(n1),pin(n2)),on(small,on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),nextto(on(small,pin(n2)),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),on(small,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(pin(n1),on(small,pin(n2))),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(on(small,pin(n1)),pin(n2)),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n2),on(medium,on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),nextto(pin(n2),on(medium,on(large,pin(n3))))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(medium,pin(n2)) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(medium,pin(n2)),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),nextto(on(medium,pin(n2)),on(large,pin(n3)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,pin(n1)),on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(on(small,pin(n1)),on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=on(small,on(medium,pin(n2))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),on(small,on(medium,pin(n2)))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(nextto(pin(n1),on(small,on(medium,pin(n2)))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(on(small,on(medium,pin(n2))),on(large,pin(n3))) )
% 13.91/2.68                 &
% 13.91/2.68                  ( X0_13!=nextto(pin(n1),nextto(on(small,on(medium,pin(n2))),on(large,pin(n3)))) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68             )
% 13.91/2.68        )
% 13.91/2.68      )
% 13.91/2.68     ).
% 13.91/2.68  
% 13.91/2.68  %------ Positive definition of state 
% 13.91/2.68  fof(lit_def,axiom,
% 13.91/2.68      (! [X0] : 
% 13.91/2.68        ( state(X0) <=>
% 13.91/2.68            $false
% 13.91/2.68        )
% 13.91/2.68      )
% 13.91/2.68     ).
% 13.91/2.68  
% 13.91/2.68  %------ Positive definition of fits 
% 13.91/2.68  fof(lit_def,axiom,
% 13.91/2.68      (! [X0_14,X0_13] : 
% 13.91/2.68        ( fits(X0_14,X0_13) <=>
% 13.91/2.68             (
% 13.91/2.68              ? [X0_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_14=small & X0_13=pin(X0_15) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X1_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_14=small & X0_13=on(medium,X1_13) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_14=medium & X0_13=pin(X0_15) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X1_13] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_14=medium & X0_13=on(large,X1_13) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68               | 
% 13.91/2.68              ? [X0_15] : 
% 13.91/2.68                (
% 13.91/2.68                  ( X0_14=large & X0_13=pin(X0_15) )
% 13.91/2.68                )
% 13.91/2.68  
% 13.91/2.68             )
% 13.91/2.68        )
% 13.91/2.68      )
% 13.91/2.68     ).
% 13.91/2.68  % SZS output end Model for theBenchmark.p
% 13.91/2.69  
%------------------------------------------------------------------------------