TSTP Solution File: ALG171+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG171+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 15:58:58 EDT 2023
% Result : Theorem 2.68s 2.86s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ALG171+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 04:38:19 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 2.63/2.84 %-------------------------------------------
% 2.63/2.84 % File :CSE---1.6
% 2.63/2.84 % Problem :theBenchmark
% 2.63/2.84 % Transform :cnf
% 2.63/2.84 % Format :tptp:raw
% 2.63/2.84 % Command :java -jar mcs_scs.jar %d %s
% 2.63/2.84
% 2.63/2.84 % Result :Theorem 2.150000s
% 2.63/2.84 % Output :CNFRefutation 2.150000s
% 2.63/2.84 %-------------------------------------------
% 2.63/2.85 %--------------------------------------------------------------------------
% 2.63/2.85 % File : ALG171+1 : TPTP v8.1.2. Released v2.7.0.
% 2.63/2.85 % Domain : General Algebra
% 2.63/2.85 % Problem : Quasigroups 5 QG4: CPROPS-PAIRWISE-EXCLUSIVE-PROBLEM-2
% 2.63/2.85 % Version : Especial.
% 2.63/2.85 % English :
% 2.63/2.85
% 2.63/2.85 % Refs : [Mei03] Meier (2003), Email to G.Sutcliffe
% 2.63/2.85 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 2.63/2.85 % Source : [Mei03]
% 2.63/2.85 % Names :
% 2.63/2.85
% 2.63/2.85 % Status : Theorem
% 2.63/2.85 % Rating : 0.04 v8.1.0, 0.00 v6.3.0, 0.07 v6.2.0, 0.09 v6.1.0, 0.00 v5.5.0, 0.11 v5.4.0, 0.00 v5.3.0, 0.18 v5.2.0, 0.25 v5.0.0, 0.00 v3.7.0, 0.14 v3.5.0, 0.11 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v2.7.0
% 2.63/2.85 % Syntax : Number of formulae : 7 ( 0 unt; 0 def)
% 2.63/2.85 % Number of atoms : 564 ( 564 equ)
% 2.63/2.85 % Maximal formula atoms : 250 ( 80 avg)
% 2.63/2.85 % Number of connectives : 693 ( 136 ~; 304 |; 253 &)
% 2.63/2.85 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 2.63/2.85 % Maximal formula depth : 101 ( 36 avg)
% 2.63/2.85 % Maximal term depth : 4 ( 1 avg)
% 2.63/2.85 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 2.63/2.85 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% 2.63/2.85 % Number of variables : 0 ( 0 !; 0 ?)
% 2.63/2.85 % SPC : FOF_THM_RFO_PEQ
% 2.63/2.85
% 2.63/2.85 % Comments :
% 2.63/2.85 %--------------------------------------------------------------------------
% 2.63/2.85 fof(ax1,axiom,
% 2.63/2.85 ( ( op(e0,e0) = e0
% 2.63/2.85 | op(e0,e0) = e1
% 2.63/2.85 | op(e0,e0) = e2
% 2.63/2.85 | op(e0,e0) = e3
% 2.63/2.85 | op(e0,e0) = e4 )
% 2.63/2.85 & ( op(e0,e1) = e0
% 2.63/2.85 | op(e0,e1) = e1
% 2.63/2.85 | op(e0,e1) = e2
% 2.63/2.85 | op(e0,e1) = e3
% 2.63/2.85 | op(e0,e1) = e4 )
% 2.63/2.85 & ( op(e0,e2) = e0
% 2.63/2.85 | op(e0,e2) = e1
% 2.63/2.85 | op(e0,e2) = e2
% 2.63/2.85 | op(e0,e2) = e3
% 2.63/2.85 | op(e0,e2) = e4 )
% 2.63/2.85 & ( op(e0,e3) = e0
% 2.63/2.85 | op(e0,e3) = e1
% 2.63/2.85 | op(e0,e3) = e2
% 2.63/2.85 | op(e0,e3) = e3
% 2.63/2.85 | op(e0,e3) = e4 )
% 2.63/2.85 & ( op(e0,e4) = e0
% 2.63/2.85 | op(e0,e4) = e1
% 2.63/2.85 | op(e0,e4) = e2
% 2.63/2.85 | op(e0,e4) = e3
% 2.63/2.85 | op(e0,e4) = e4 )
% 2.63/2.85 & ( op(e1,e0) = e0
% 2.63/2.85 | op(e1,e0) = e1
% 2.63/2.85 | op(e1,e0) = e2
% 2.63/2.85 | op(e1,e0) = e3
% 2.63/2.85 | op(e1,e0) = e4 )
% 2.63/2.85 & ( op(e1,e1) = e0
% 2.63/2.85 | op(e1,e1) = e1
% 2.63/2.85 | op(e1,e1) = e2
% 2.63/2.85 | op(e1,e1) = e3
% 2.63/2.85 | op(e1,e1) = e4 )
% 2.63/2.85 & ( op(e1,e2) = e0
% 2.63/2.85 | op(e1,e2) = e1
% 2.63/2.85 | op(e1,e2) = e2
% 2.63/2.85 | op(e1,e2) = e3
% 2.63/2.85 | op(e1,e2) = e4 )
% 2.63/2.85 & ( op(e1,e3) = e0
% 2.63/2.85 | op(e1,e3) = e1
% 2.63/2.85 | op(e1,e3) = e2
% 2.63/2.85 | op(e1,e3) = e3
% 2.63/2.85 | op(e1,e3) = e4 )
% 2.63/2.85 & ( op(e1,e4) = e0
% 2.63/2.85 | op(e1,e4) = e1
% 2.63/2.85 | op(e1,e4) = e2
% 2.63/2.85 | op(e1,e4) = e3
% 2.63/2.85 | op(e1,e4) = e4 )
% 2.63/2.85 & ( op(e2,e0) = e0
% 2.63/2.85 | op(e2,e0) = e1
% 2.63/2.85 | op(e2,e0) = e2
% 2.63/2.85 | op(e2,e0) = e3
% 2.63/2.85 | op(e2,e0) = e4 )
% 2.63/2.85 & ( op(e2,e1) = e0
% 2.63/2.85 | op(e2,e1) = e1
% 2.63/2.85 | op(e2,e1) = e2
% 2.63/2.85 | op(e2,e1) = e3
% 2.63/2.85 | op(e2,e1) = e4 )
% 2.63/2.85 & ( op(e2,e2) = e0
% 2.63/2.85 | op(e2,e2) = e1
% 2.63/2.85 | op(e2,e2) = e2
% 2.63/2.85 | op(e2,e2) = e3
% 2.63/2.85 | op(e2,e2) = e4 )
% 2.63/2.85 & ( op(e2,e3) = e0
% 2.63/2.85 | op(e2,e3) = e1
% 2.63/2.85 | op(e2,e3) = e2
% 2.63/2.85 | op(e2,e3) = e3
% 2.63/2.85 | op(e2,e3) = e4 )
% 2.63/2.85 & ( op(e2,e4) = e0
% 2.63/2.85 | op(e2,e4) = e1
% 2.63/2.85 | op(e2,e4) = e2
% 2.63/2.85 | op(e2,e4) = e3
% 2.63/2.85 | op(e2,e4) = e4 )
% 2.63/2.85 & ( op(e3,e0) = e0
% 2.63/2.85 | op(e3,e0) = e1
% 2.63/2.85 | op(e3,e0) = e2
% 2.63/2.85 | op(e3,e0) = e3
% 2.63/2.85 | op(e3,e0) = e4 )
% 2.63/2.85 & ( op(e3,e1) = e0
% 2.63/2.85 | op(e3,e1) = e1
% 2.63/2.85 | op(e3,e1) = e2
% 2.63/2.85 | op(e3,e1) = e3
% 2.63/2.85 | op(e3,e1) = e4 )
% 2.63/2.85 & ( op(e3,e2) = e0
% 2.63/2.85 | op(e3,e2) = e1
% 2.63/2.85 | op(e3,e2) = e2
% 2.63/2.85 | op(e3,e2) = e3
% 2.63/2.85 | op(e3,e2) = e4 )
% 2.63/2.85 & ( op(e3,e3) = e0
% 2.63/2.85 | op(e3,e3) = e1
% 2.63/2.85 | op(e3,e3) = e2
% 2.63/2.85 | op(e3,e3) = e3
% 2.63/2.85 | op(e3,e3) = e4 )
% 2.63/2.85 & ( op(e3,e4) = e0
% 2.63/2.85 | op(e3,e4) = e1
% 2.63/2.85 | op(e3,e4) = e2
% 2.68/2.85 | op(e3,e4) = e3
% 2.68/2.85 | op(e3,e4) = e4 )
% 2.68/2.85 & ( op(e4,e0) = e0
% 2.68/2.85 | op(e4,e0) = e1
% 2.68/2.85 | op(e4,e0) = e2
% 2.68/2.85 | op(e4,e0) = e3
% 2.68/2.85 | op(e4,e0) = e4 )
% 2.68/2.85 & ( op(e4,e1) = e0
% 2.68/2.85 | op(e4,e1) = e1
% 2.68/2.85 | op(e4,e1) = e2
% 2.68/2.85 | op(e4,e1) = e3
% 2.68/2.85 | op(e4,e1) = e4 )
% 2.68/2.85 & ( op(e4,e2) = e0
% 2.68/2.85 | op(e4,e2) = e1
% 2.68/2.85 | op(e4,e2) = e2
% 2.68/2.85 | op(e4,e2) = e3
% 2.68/2.85 | op(e4,e2) = e4 )
% 2.68/2.85 & ( op(e4,e3) = e0
% 2.68/2.85 | op(e4,e3) = e1
% 2.68/2.85 | op(e4,e3) = e2
% 2.68/2.85 | op(e4,e3) = e3
% 2.68/2.85 | op(e4,e3) = e4 )
% 2.68/2.85 & ( op(e4,e4) = e0
% 2.68/2.85 | op(e4,e4) = e1
% 2.68/2.85 | op(e4,e4) = e2
% 2.68/2.85 | op(e4,e4) = e3
% 2.68/2.85 | op(e4,e4) = e4 ) ) ).
% 2.68/2.85
% 2.68/2.85 fof(ax2,axiom,
% 2.68/2.85 ( ( op(e0,e0) = e0
% 2.68/2.85 | op(e0,e1) = e0
% 2.68/2.85 | op(e0,e2) = e0
% 2.68/2.86 | op(e0,e3) = e0
% 2.68/2.86 | op(e0,e4) = e0 )
% 2.68/2.86 & ( op(e0,e0) = e0
% 2.68/2.86 | op(e1,e0) = e0
% 2.68/2.86 | op(e2,e0) = e0
% 2.68/2.86 | op(e3,e0) = e0
% 2.68/2.86 | op(e4,e0) = e0 )
% 2.68/2.86 & ( op(e0,e0) = e1
% 2.68/2.86 | op(e0,e1) = e1
% 2.68/2.86 | op(e0,e2) = e1
% 2.68/2.86 | op(e0,e3) = e1
% 2.68/2.86 | op(e0,e4) = e1 )
% 2.68/2.86 & ( op(e0,e0) = e1
% 2.68/2.86 | op(e1,e0) = e1
% 2.68/2.86 | op(e2,e0) = e1
% 2.68/2.86 | op(e3,e0) = e1
% 2.68/2.86 | op(e4,e0) = e1 )
% 2.68/2.86 & ( op(e0,e0) = e2
% 2.68/2.86 | op(e0,e1) = e2
% 2.68/2.86 | op(e0,e2) = e2
% 2.68/2.86 | op(e0,e3) = e2
% 2.68/2.86 | op(e0,e4) = e2 )
% 2.68/2.86 & ( op(e0,e0) = e2
% 2.68/2.86 | op(e1,e0) = e2
% 2.68/2.86 | op(e2,e0) = e2
% 2.68/2.86 | op(e3,e0) = e2
% 2.68/2.86 | op(e4,e0) = e2 )
% 2.68/2.86 & ( op(e0,e0) = e3
% 2.68/2.86 | op(e0,e1) = e3
% 2.68/2.86 | op(e0,e2) = e3
% 2.68/2.86 | op(e0,e3) = e3
% 2.68/2.86 | op(e0,e4) = e3 )
% 2.68/2.86 & ( op(e0,e0) = e3
% 2.68/2.86 | op(e1,e0) = e3
% 2.68/2.86 | op(e2,e0) = e3
% 2.68/2.86 | op(e3,e0) = e3
% 2.68/2.86 | op(e4,e0) = e3 )
% 2.68/2.86 & ( op(e0,e0) = e4
% 2.68/2.86 | op(e0,e1) = e4
% 2.68/2.86 | op(e0,e2) = e4
% 2.68/2.86 | op(e0,e3) = e4
% 2.68/2.86 | op(e0,e4) = e4 )
% 2.68/2.86 & ( op(e0,e0) = e4
% 2.68/2.86 | op(e1,e0) = e4
% 2.68/2.86 | op(e2,e0) = e4
% 2.68/2.86 | op(e3,e0) = e4
% 2.68/2.86 | op(e4,e0) = e4 )
% 2.68/2.86 & ( op(e1,e0) = e0
% 2.68/2.86 | op(e1,e1) = e0
% 2.68/2.86 | op(e1,e2) = e0
% 2.68/2.86 | op(e1,e3) = e0
% 2.68/2.86 | op(e1,e4) = e0 )
% 2.68/2.86 & ( op(e0,e1) = e0
% 2.68/2.86 | op(e1,e1) = e0
% 2.68/2.86 | op(e2,e1) = e0
% 2.68/2.86 | op(e3,e1) = e0
% 2.68/2.86 | op(e4,e1) = e0 )
% 2.68/2.86 & ( op(e1,e0) = e1
% 2.68/2.86 | op(e1,e1) = e1
% 2.68/2.86 | op(e1,e2) = e1
% 2.68/2.86 | op(e1,e3) = e1
% 2.68/2.86 | op(e1,e4) = e1 )
% 2.68/2.86 & ( op(e0,e1) = e1
% 2.68/2.86 | op(e1,e1) = e1
% 2.68/2.86 | op(e2,e1) = e1
% 2.68/2.86 | op(e3,e1) = e1
% 2.68/2.86 | op(e4,e1) = e1 )
% 2.68/2.86 & ( op(e1,e0) = e2
% 2.68/2.86 | op(e1,e1) = e2
% 2.68/2.86 | op(e1,e2) = e2
% 2.68/2.86 | op(e1,e3) = e2
% 2.68/2.86 | op(e1,e4) = e2 )
% 2.68/2.86 & ( op(e0,e1) = e2
% 2.68/2.86 | op(e1,e1) = e2
% 2.68/2.86 | op(e2,e1) = e2
% 2.68/2.86 | op(e3,e1) = e2
% 2.68/2.86 | op(e4,e1) = e2 )
% 2.68/2.86 & ( op(e1,e0) = e3
% 2.68/2.86 | op(e1,e1) = e3
% 2.68/2.86 | op(e1,e2) = e3
% 2.68/2.86 | op(e1,e3) = e3
% 2.68/2.86 | op(e1,e4) = e3 )
% 2.68/2.86 & ( op(e0,e1) = e3
% 2.68/2.86 | op(e1,e1) = e3
% 2.68/2.86 | op(e2,e1) = e3
% 2.68/2.86 | op(e3,e1) = e3
% 2.68/2.86 | op(e4,e1) = e3 )
% 2.68/2.86 & ( op(e1,e0) = e4
% 2.68/2.86 | op(e1,e1) = e4
% 2.68/2.86 | op(e1,e2) = e4
% 2.68/2.86 | op(e1,e3) = e4
% 2.68/2.86 | op(e1,e4) = e4 )
% 2.68/2.86 & ( op(e0,e1) = e4
% 2.68/2.86 | op(e1,e1) = e4
% 2.68/2.86 | op(e2,e1) = e4
% 2.68/2.86 | op(e3,e1) = e4
% 2.68/2.86 | op(e4,e1) = e4 )
% 2.68/2.86 & ( op(e2,e0) = e0
% 2.68/2.86 | op(e2,e1) = e0
% 2.68/2.86 | op(e2,e2) = e0
% 2.68/2.86 | op(e2,e3) = e0
% 2.68/2.86 | op(e2,e4) = e0 )
% 2.68/2.86 & ( op(e0,e2) = e0
% 2.68/2.86 | op(e1,e2) = e0
% 2.68/2.86 | op(e2,e2) = e0
% 2.68/2.86 | op(e3,e2) = e0
% 2.68/2.86 | op(e4,e2) = e0 )
% 2.68/2.86 & ( op(e2,e0) = e1
% 2.68/2.86 | op(e2,e1) = e1
% 2.68/2.86 | op(e2,e2) = e1
% 2.68/2.86 | op(e2,e3) = e1
% 2.68/2.86 | op(e2,e4) = e1 )
% 2.68/2.86 & ( op(e0,e2) = e1
% 2.68/2.86 | op(e1,e2) = e1
% 2.68/2.86 | op(e2,e2) = e1
% 2.68/2.86 | op(e3,e2) = e1
% 2.68/2.86 | op(e4,e2) = e1 )
% 2.68/2.86 & ( op(e2,e0) = e2
% 2.68/2.86 | op(e2,e1) = e2
% 2.68/2.86 | op(e2,e2) = e2
% 2.68/2.86 | op(e2,e3) = e2
% 2.68/2.86 | op(e2,e4) = e2 )
% 2.68/2.86 & ( op(e0,e2) = e2
% 2.68/2.86 | op(e1,e2) = e2
% 2.68/2.86 | op(e2,e2) = e2
% 2.68/2.86 | op(e3,e2) = e2
% 2.68/2.86 | op(e4,e2) = e2 )
% 2.68/2.86 & ( op(e2,e0) = e3
% 2.68/2.86 | op(e2,e1) = e3
% 2.68/2.86 | op(e2,e2) = e3
% 2.68/2.86 | op(e2,e3) = e3
% 2.68/2.86 | op(e2,e4) = e3 )
% 2.68/2.86 & ( op(e0,e2) = e3
% 2.68/2.86 | op(e1,e2) = e3
% 2.68/2.86 | op(e2,e2) = e3
% 2.68/2.86 | op(e3,e2) = e3
% 2.68/2.86 | op(e4,e2) = e3 )
% 2.68/2.86 & ( op(e2,e0) = e4
% 2.68/2.86 | op(e2,e1) = e4
% 2.68/2.86 | op(e2,e2) = e4
% 2.68/2.86 | op(e2,e3) = e4
% 2.68/2.86 | op(e2,e4) = e4 )
% 2.68/2.86 & ( op(e0,e2) = e4
% 2.68/2.86 | op(e1,e2) = e4
% 2.68/2.86 | op(e2,e2) = e4
% 2.68/2.86 | op(e3,e2) = e4
% 2.68/2.86 | op(e4,e2) = e4 )
% 2.68/2.86 & ( op(e3,e0) = e0
% 2.68/2.86 | op(e3,e1) = e0
% 2.68/2.86 | op(e3,e2) = e0
% 2.68/2.86 | op(e3,e3) = e0
% 2.68/2.86 | op(e3,e4) = e0 )
% 2.68/2.86 & ( op(e0,e3) = e0
% 2.68/2.86 | op(e1,e3) = e0
% 2.68/2.86 | op(e2,e3) = e0
% 2.68/2.86 | op(e3,e3) = e0
% 2.68/2.86 | op(e4,e3) = e0 )
% 2.68/2.86 & ( op(e3,e0) = e1
% 2.68/2.86 | op(e3,e1) = e1
% 2.68/2.86 | op(e3,e2) = e1
% 2.68/2.86 | op(e3,e3) = e1
% 2.68/2.86 | op(e3,e4) = e1 )
% 2.68/2.86 & ( op(e0,e3) = e1
% 2.68/2.86 | op(e1,e3) = e1
% 2.68/2.86 | op(e2,e3) = e1
% 2.68/2.86 | op(e3,e3) = e1
% 2.68/2.86 | op(e4,e3) = e1 )
% 2.68/2.86 & ( op(e3,e0) = e2
% 2.68/2.86 | op(e3,e1) = e2
% 2.68/2.86 | op(e3,e2) = e2
% 2.68/2.86 | op(e3,e3) = e2
% 2.68/2.86 | op(e3,e4) = e2 )
% 2.68/2.86 & ( op(e0,e3) = e2
% 2.68/2.86 | op(e1,e3) = e2
% 2.68/2.86 | op(e2,e3) = e2
% 2.68/2.86 | op(e3,e3) = e2
% 2.68/2.86 | op(e4,e3) = e2 )
% 2.68/2.86 & ( op(e3,e0) = e3
% 2.68/2.86 | op(e3,e1) = e3
% 2.68/2.86 | op(e3,e2) = e3
% 2.68/2.86 | op(e3,e3) = e3
% 2.68/2.86 | op(e3,e4) = e3 )
% 2.68/2.86 & ( op(e0,e3) = e3
% 2.68/2.86 | op(e1,e3) = e3
% 2.68/2.86 | op(e2,e3) = e3
% 2.68/2.86 | op(e3,e3) = e3
% 2.68/2.86 | op(e4,e3) = e3 )
% 2.68/2.86 & ( op(e3,e0) = e4
% 2.68/2.86 | op(e3,e1) = e4
% 2.68/2.86 | op(e3,e2) = e4
% 2.68/2.86 | op(e3,e3) = e4
% 2.68/2.86 | op(e3,e4) = e4 )
% 2.68/2.86 & ( op(e0,e3) = e4
% 2.68/2.86 | op(e1,e3) = e4
% 2.68/2.86 | op(e2,e3) = e4
% 2.68/2.86 | op(e3,e3) = e4
% 2.68/2.86 | op(e4,e3) = e4 )
% 2.68/2.86 & ( op(e4,e0) = e0
% 2.68/2.86 | op(e4,e1) = e0
% 2.68/2.86 | op(e4,e2) = e0
% 2.68/2.86 | op(e4,e3) = e0
% 2.68/2.86 | op(e4,e4) = e0 )
% 2.68/2.86 & ( op(e0,e4) = e0
% 2.68/2.86 | op(e1,e4) = e0
% 2.68/2.86 | op(e2,e4) = e0
% 2.68/2.86 | op(e3,e4) = e0
% 2.68/2.86 | op(e4,e4) = e0 )
% 2.68/2.86 & ( op(e4,e0) = e1
% 2.68/2.86 | op(e4,e1) = e1
% 2.68/2.86 | op(e4,e2) = e1
% 2.68/2.86 | op(e4,e3) = e1
% 2.68/2.86 | op(e4,e4) = e1 )
% 2.68/2.86 & ( op(e0,e4) = e1
% 2.68/2.86 | op(e1,e4) = e1
% 2.68/2.86 | op(e2,e4) = e1
% 2.68/2.86 | op(e3,e4) = e1
% 2.68/2.86 | op(e4,e4) = e1 )
% 2.68/2.86 & ( op(e4,e0) = e2
% 2.68/2.86 | op(e4,e1) = e2
% 2.68/2.86 | op(e4,e2) = e2
% 2.68/2.86 | op(e4,e3) = e2
% 2.68/2.86 | op(e4,e4) = e2 )
% 2.68/2.86 & ( op(e0,e4) = e2
% 2.68/2.86 | op(e1,e4) = e2
% 2.68/2.86 | op(e2,e4) = e2
% 2.68/2.86 | op(e3,e4) = e2
% 2.68/2.86 | op(e4,e4) = e2 )
% 2.68/2.86 & ( op(e4,e0) = e3
% 2.68/2.86 | op(e4,e1) = e3
% 2.68/2.86 | op(e4,e2) = e3
% 2.68/2.86 | op(e4,e3) = e3
% 2.68/2.86 | op(e4,e4) = e3 )
% 2.68/2.86 & ( op(e0,e4) = e3
% 2.68/2.86 | op(e1,e4) = e3
% 2.68/2.86 | op(e2,e4) = e3
% 2.68/2.86 | op(e3,e4) = e3
% 2.68/2.86 | op(e4,e4) = e3 )
% 2.68/2.86 & ( op(e4,e0) = e4
% 2.68/2.86 | op(e4,e1) = e4
% 2.68/2.86 | op(e4,e2) = e4
% 2.68/2.86 | op(e4,e3) = e4
% 2.68/2.86 | op(e4,e4) = e4 )
% 2.68/2.86 & ( op(e0,e4) = e4
% 2.68/2.86 | op(e1,e4) = e4
% 2.68/2.86 | op(e2,e4) = e4
% 2.68/2.86 | op(e3,e4) = e4
% 2.68/2.86 | op(e4,e4) = e4 ) ) ).
% 2.68/2.86
% 2.68/2.86 fof(ax3,axiom,
% 2.68/2.86 ( op(op(e0,e0),op(e0,e0)) = e0
% 2.68/2.86 & op(op(e1,e0),op(e0,e1)) = e0
% 2.68/2.86 & op(op(e2,e0),op(e0,e2)) = e0
% 2.68/2.86 & op(op(e3,e0),op(e0,e3)) = e0
% 2.68/2.86 & op(op(e4,e0),op(e0,e4)) = e0
% 2.68/2.86 & op(op(e0,e1),op(e1,e0)) = e1
% 2.68/2.86 & op(op(e1,e1),op(e1,e1)) = e1
% 2.68/2.86 & op(op(e2,e1),op(e1,e2)) = e1
% 2.68/2.86 & op(op(e3,e1),op(e1,e3)) = e1
% 2.68/2.86 & op(op(e4,e1),op(e1,e4)) = e1
% 2.68/2.86 & op(op(e0,e2),op(e2,e0)) = e2
% 2.68/2.86 & op(op(e1,e2),op(e2,e1)) = e2
% 2.68/2.86 & op(op(e2,e2),op(e2,e2)) = e2
% 2.68/2.86 & op(op(e3,e2),op(e2,e3)) = e2
% 2.68/2.86 & op(op(e4,e2),op(e2,e4)) = e2
% 2.68/2.86 & op(op(e0,e3),op(e3,e0)) = e3
% 2.68/2.86 & op(op(e1,e3),op(e3,e1)) = e3
% 2.68/2.86 & op(op(e2,e3),op(e3,e2)) = e3
% 2.68/2.86 & op(op(e3,e3),op(e3,e3)) = e3
% 2.68/2.86 & op(op(e4,e3),op(e3,e4)) = e3
% 2.68/2.86 & op(op(e0,e4),op(e4,e0)) = e4
% 2.68/2.86 & op(op(e1,e4),op(e4,e1)) = e4
% 2.68/2.86 & op(op(e2,e4),op(e4,e2)) = e4
% 2.68/2.86 & op(op(e3,e4),op(e4,e3)) = e4
% 2.68/2.86 & op(op(e4,e4),op(e4,e4)) = e4 ) ).
% 2.68/2.86
% 2.68/2.86 fof(ax4,axiom,
% 2.68/2.86 ( op(e0,e0) != op(e1,e0)
% 2.68/2.86 & op(e0,e0) != op(e2,e0)
% 2.68/2.86 & op(e0,e0) != op(e3,e0)
% 2.68/2.86 & op(e0,e0) != op(e4,e0)
% 2.68/2.86 & op(e1,e0) != op(e2,e0)
% 2.68/2.86 & op(e1,e0) != op(e3,e0)
% 2.68/2.86 & op(e1,e0) != op(e4,e0)
% 2.68/2.86 & op(e2,e0) != op(e3,e0)
% 2.68/2.86 & op(e2,e0) != op(e4,e0)
% 2.68/2.86 & op(e3,e0) != op(e4,e0)
% 2.68/2.86 & op(e0,e1) != op(e1,e1)
% 2.68/2.86 & op(e0,e1) != op(e2,e1)
% 2.68/2.86 & op(e0,e1) != op(e3,e1)
% 2.68/2.86 & op(e0,e1) != op(e4,e1)
% 2.68/2.86 & op(e1,e1) != op(e2,e1)
% 2.68/2.86 & op(e1,e1) != op(e3,e1)
% 2.68/2.86 & op(e1,e1) != op(e4,e1)
% 2.68/2.86 & op(e2,e1) != op(e3,e1)
% 2.68/2.86 & op(e2,e1) != op(e4,e1)
% 2.68/2.86 & op(e3,e1) != op(e4,e1)
% 2.68/2.86 & op(e0,e2) != op(e1,e2)
% 2.68/2.86 & op(e0,e2) != op(e2,e2)
% 2.68/2.86 & op(e0,e2) != op(e3,e2)
% 2.68/2.86 & op(e0,e2) != op(e4,e2)
% 2.68/2.86 & op(e1,e2) != op(e2,e2)
% 2.68/2.86 & op(e1,e2) != op(e3,e2)
% 2.68/2.86 & op(e1,e2) != op(e4,e2)
% 2.68/2.86 & op(e2,e2) != op(e3,e2)
% 2.68/2.86 & op(e2,e2) != op(e4,e2)
% 2.68/2.86 & op(e3,e2) != op(e4,e2)
% 2.68/2.86 & op(e0,e3) != op(e1,e3)
% 2.68/2.86 & op(e0,e3) != op(e2,e3)
% 2.68/2.86 & op(e0,e3) != op(e3,e3)
% 2.68/2.86 & op(e0,e3) != op(e4,e3)
% 2.68/2.86 & op(e1,e3) != op(e2,e3)
% 2.68/2.86 & op(e1,e3) != op(e3,e3)
% 2.68/2.86 & op(e1,e3) != op(e4,e3)
% 2.68/2.86 & op(e2,e3) != op(e3,e3)
% 2.68/2.86 & op(e2,e3) != op(e4,e3)
% 2.68/2.86 & op(e3,e3) != op(e4,e3)
% 2.68/2.86 & op(e0,e4) != op(e1,e4)
% 2.68/2.86 & op(e0,e4) != op(e2,e4)
% 2.68/2.86 & op(e0,e4) != op(e3,e4)
% 2.68/2.86 & op(e0,e4) != op(e4,e4)
% 2.68/2.86 & op(e1,e4) != op(e2,e4)
% 2.68/2.86 & op(e1,e4) != op(e3,e4)
% 2.68/2.86 & op(e1,e4) != op(e4,e4)
% 2.68/2.86 & op(e2,e4) != op(e3,e4)
% 2.68/2.86 & op(e2,e4) != op(e4,e4)
% 2.68/2.86 & op(e3,e4) != op(e4,e4)
% 2.68/2.86 & op(e0,e0) != op(e0,e1)
% 2.68/2.86 & op(e0,e0) != op(e0,e2)
% 2.68/2.86 & op(e0,e0) != op(e0,e3)
% 2.68/2.86 & op(e0,e0) != op(e0,e4)
% 2.68/2.86 & op(e0,e1) != op(e0,e2)
% 2.68/2.86 & op(e0,e1) != op(e0,e3)
% 2.68/2.86 & op(e0,e1) != op(e0,e4)
% 2.68/2.86 & op(e0,e2) != op(e0,e3)
% 2.68/2.86 & op(e0,e2) != op(e0,e4)
% 2.68/2.86 & op(e0,e3) != op(e0,e4)
% 2.68/2.86 & op(e1,e0) != op(e1,e1)
% 2.68/2.86 & op(e1,e0) != op(e1,e2)
% 2.68/2.86 & op(e1,e0) != op(e1,e3)
% 2.68/2.86 & op(e1,e0) != op(e1,e4)
% 2.68/2.86 & op(e1,e1) != op(e1,e2)
% 2.68/2.86 & op(e1,e1) != op(e1,e3)
% 2.68/2.86 & op(e1,e1) != op(e1,e4)
% 2.68/2.86 & op(e1,e2) != op(e1,e3)
% 2.68/2.86 & op(e1,e2) != op(e1,e4)
% 2.68/2.86 & op(e1,e3) != op(e1,e4)
% 2.68/2.86 & op(e2,e0) != op(e2,e1)
% 2.68/2.86 & op(e2,e0) != op(e2,e2)
% 2.68/2.86 & op(e2,e0) != op(e2,e3)
% 2.68/2.86 & op(e2,e0) != op(e2,e4)
% 2.68/2.86 & op(e2,e1) != op(e2,e2)
% 2.68/2.86 & op(e2,e1) != op(e2,e3)
% 2.68/2.86 & op(e2,e1) != op(e2,e4)
% 2.68/2.86 & op(e2,e2) != op(e2,e3)
% 2.68/2.86 & op(e2,e2) != op(e2,e4)
% 2.68/2.86 & op(e2,e3) != op(e2,e4)
% 2.68/2.86 & op(e3,e0) != op(e3,e1)
% 2.68/2.86 & op(e3,e0) != op(e3,e2)
% 2.68/2.86 & op(e3,e0) != op(e3,e3)
% 2.68/2.86 & op(e3,e0) != op(e3,e4)
% 2.68/2.86 & op(e3,e1) != op(e3,e2)
% 2.68/2.86 & op(e3,e1) != op(e3,e3)
% 2.68/2.86 & op(e3,e1) != op(e3,e4)
% 2.68/2.86 & op(e3,e2) != op(e3,e3)
% 2.68/2.86 & op(e3,e2) != op(e3,e4)
% 2.68/2.86 & op(e3,e3) != op(e3,e4)
% 2.68/2.86 & op(e4,e0) != op(e4,e1)
% 2.68/2.86 & op(e4,e0) != op(e4,e2)
% 2.68/2.86 & op(e4,e0) != op(e4,e3)
% 2.68/2.86 & op(e4,e0) != op(e4,e4)
% 2.68/2.86 & op(e4,e1) != op(e4,e2)
% 2.68/2.86 & op(e4,e1) != op(e4,e3)
% 2.68/2.86 & op(e4,e1) != op(e4,e4)
% 2.68/2.86 & op(e4,e2) != op(e4,e3)
% 2.68/2.86 & op(e4,e2) != op(e4,e4)
% 2.68/2.86 & op(e4,e3) != op(e4,e4) ) ).
% 2.68/2.86
% 2.68/2.86 fof(ax5,axiom,
% 2.68/2.86 ( e0 != e1
% 2.68/2.86 & e0 != e2
% 2.68/2.86 & e0 != e3
% 2.68/2.86 & e0 != e4
% 2.68/2.86 & e1 != e2
% 2.68/2.86 & e1 != e3
% 2.68/2.86 & e1 != e4
% 2.68/2.86 & e2 != e3
% 2.68/2.86 & e2 != e4
% 2.68/2.86 & e3 != e4 ) ).
% 2.68/2.86
% 2.68/2.86 fof(ax6,axiom,
% 2.68/2.86 ( e0 = op(e4,op(e4,e4))
% 2.68/2.86 & e1 = op(e4,e4)
% 2.68/2.86 & e2 = op(op(e4,op(e4,e4)),op(e4,e4))
% 2.68/2.86 & e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ) ).
% 2.68/2.86
% 2.68/2.86 fof(co1,conjecture,
% 2.68/2.86 ~ ( ( ( op(e0,e0) != e0
% 2.68/2.86 & op(e1,e0) != e1
% 2.68/2.86 & op(e2,e0) != e2
% 2.68/2.86 & op(e3,e0) != e3
% 2.68/2.86 & op(e4,e0) != e4 )
% 2.68/2.86 | ( op(e0,e1) != e0
% 2.68/2.86 & op(e1,e1) != e1
% 2.68/2.86 & op(e2,e1) != e2
% 2.68/2.86 & op(e3,e1) != e3
% 2.68/2.86 & op(e4,e1) != e4 )
% 2.68/2.86 | ( op(e0,e2) != e0
% 2.68/2.86 & op(e1,e2) != e1
% 2.68/2.86 & op(e2,e2) != e2
% 2.68/2.86 & op(e3,e2) != e3
% 2.68/2.86 & op(e4,e2) != e4 )
% 2.68/2.86 | ( op(e0,e3) != e0
% 2.68/2.86 & op(e1,e3) != e1
% 2.68/2.86 & op(e2,e3) != e2
% 2.68/2.86 & op(e3,e3) != e3
% 2.68/2.86 & op(e4,e3) != e4 )
% 2.68/2.86 | ( op(e0,e4) != e0
% 2.68/2.86 & op(e1,e4) != e1
% 2.68/2.86 & op(e2,e4) != e2
% 2.68/2.86 & op(e3,e4) != e3
% 2.68/2.86 & op(e4,e4) != e4 ) )
% 2.68/2.86 & op(e0,op(e0,e0)) = e0
% 2.68/2.86 & op(e0,op(e0,e1)) = e1
% 2.68/2.86 & op(e0,op(e0,e2)) = e2
% 2.68/2.86 & op(e0,op(e0,e3)) = e3
% 2.68/2.86 & op(e0,op(e0,e4)) = e4
% 2.68/2.86 & op(e1,op(e1,e0)) = e0
% 2.68/2.86 & op(e1,op(e1,e1)) = e1
% 2.68/2.86 & op(e1,op(e1,e2)) = e2
% 2.68/2.86 & op(e1,op(e1,e3)) = e3
% 2.68/2.86 & op(e1,op(e1,e4)) = e4
% 2.68/2.86 & op(e2,op(e2,e0)) = e0
% 2.68/2.86 & op(e2,op(e2,e1)) = e1
% 2.68/2.86 & op(e2,op(e2,e2)) = e2
% 2.68/2.86 & op(e2,op(e2,e3)) = e3
% 2.68/2.86 & op(e2,op(e2,e4)) = e4
% 2.68/2.86 & op(e3,op(e3,e0)) = e0
% 2.68/2.86 & op(e3,op(e3,e1)) = e1
% 2.68/2.86 & op(e3,op(e3,e2)) = e2
% 2.68/2.86 & op(e3,op(e3,e3)) = e3
% 2.68/2.86 & op(e3,op(e3,e4)) = e4
% 2.68/2.86 & op(e4,op(e4,e0)) = e0
% 2.68/2.86 & op(e4,op(e4,e1)) = e1
% 2.68/2.86 & op(e4,op(e4,e2)) = e2
% 2.68/2.86 & op(e4,op(e4,e3)) = e3
% 2.68/2.86 & op(e4,op(e4,e4)) = e4 ) ).
% 2.68/2.86
% 2.68/2.86 %--------------------------------------------------------------------------
% 2.68/2.86 %-------------------------------------------
% 2.68/2.86 % Proof found
% 2.68/2.86 % SZS status Theorem for theBenchmark
% 2.68/2.86 % SZS output start Proof
% 2.68/2.86 %ClaNum:301(EqnAxiom:7)
% 2.68/2.86 %VarNum:0(SingletonVarNum:0)
% 2.68/2.86 %MaxLitNum:5
% 2.68/2.86 %MaxfuncDepth:3
% 2.68/2.86 %SharedTerms:394
% 2.68/2.86 %goalClause: 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 172 173 174 175 176
% 2.68/2.86 %singleGoalClaCount:25
% 2.68/2.86 [62]~E(a2,a3)
% 2.68/2.86 [63]~E(a4,a3)
% 2.68/2.86 [64]~E(a4,a2)
% 2.68/2.86 [65]~E(a5,a3)
% 2.68/2.86 [66]~E(a5,a2)
% 2.68/2.86 [67]~E(a5,a4)
% 2.68/2.86 [68]~E(a3,a1)
% 2.68/2.86 [69]~E(a2,a1)
% 2.68/2.86 [70]~E(a4,a1)
% 2.68/2.86 [71]~E(a5,a1)
% 2.68/2.86 [8]E(f6(a1,a1),a2)
% 2.68/2.86 [72]~E(f6(a3,a2),f6(a3,a3))
% 2.68/2.86 [73]~E(f6(a3,a4),f6(a3,a3))
% 2.68/2.86 [74]~E(f6(a3,a4),f6(a3,a2))
% 2.68/2.86 [75]~E(f6(a3,a5),f6(a3,a3))
% 2.68/2.86 [76]~E(f6(a3,a5),f6(a3,a2))
% 2.68/2.86 [77]~E(f6(a3,a5),f6(a3,a4))
% 2.68/2.86 [78]~E(f6(a3,a3),f6(a3,a1))
% 2.68/2.86 [79]~E(f6(a3,a2),f6(a3,a1))
% 2.68/2.86 [80]~E(f6(a3,a4),f6(a3,a1))
% 2.68/2.86 [81]~E(f6(a3,a5),f6(a3,a1))
% 2.68/2.86 [82]~E(f6(a2,a3),f6(a3,a3))
% 2.68/2.86 [83]~E(f6(a2,a2),f6(a3,a2))
% 2.68/2.86 [84]~E(f6(a2,a2),f6(a2,a3))
% 2.68/2.86 [85]~E(f6(a2,a4),f6(a3,a4))
% 2.68/2.86 [86]~E(f6(a2,a4),f6(a2,a3))
% 2.68/2.86 [87]~E(f6(a2,a4),f6(a2,a2))
% 2.68/2.86 [88]~E(f6(a2,a5),f6(a3,a5))
% 2.68/2.87 [89]~E(f6(a2,a5),f6(a2,a3))
% 2.68/2.87 [90]~E(f6(a2,a5),f6(a2,a2))
% 2.68/2.87 [91]~E(f6(a2,a5),f6(a2,a4))
% 2.68/2.87 [92]~E(f6(a2,a1),f6(a3,a1))
% 2.68/2.87 [93]~E(f6(a2,a3),f6(a2,a1))
% 2.68/2.87 [94]~E(f6(a2,a2),f6(a2,a1))
% 2.68/2.87 [95]~E(f6(a2,a4),f6(a2,a1))
% 2.68/2.87 [96]~E(f6(a2,a5),f6(a2,a1))
% 2.68/2.87 [97]~E(f6(a4,a3),f6(a3,a3))
% 2.82/2.87 [98]~E(f6(a4,a3),f6(a2,a3))
% 2.82/2.87 [99]~E(f6(a4,a2),f6(a3,a2))
% 2.82/2.87 [100]~E(f6(a4,a2),f6(a2,a2))
% 2.82/2.87 [101]~E(f6(a4,a2),f6(a4,a3))
% 2.82/2.87 [102]~E(f6(a4,a4),f6(a3,a4))
% 2.82/2.87 [103]~E(f6(a4,a4),f6(a2,a4))
% 2.82/2.87 [104]~E(f6(a4,a4),f6(a4,a3))
% 2.82/2.87 [105]~E(f6(a4,a4),f6(a4,a2))
% 2.82/2.87 [106]~E(f6(a4,a5),f6(a3,a5))
% 2.82/2.87 [107]~E(f6(a4,a5),f6(a2,a5))
% 2.82/2.87 [108]~E(f6(a4,a5),f6(a4,a3))
% 2.82/2.87 [109]~E(f6(a4,a5),f6(a4,a2))
% 2.82/2.87 [110]~E(f6(a4,a5),f6(a4,a4))
% 2.82/2.87 [111]~E(f6(a4,a1),f6(a3,a1))
% 2.82/2.87 [112]~E(f6(a4,a1),f6(a2,a1))
% 2.82/2.87 [113]~E(f6(a4,a3),f6(a4,a1))
% 2.82/2.87 [114]~E(f6(a4,a2),f6(a4,a1))
% 2.82/2.87 [115]~E(f6(a4,a4),f6(a4,a1))
% 2.82/2.87 [116]~E(f6(a4,a5),f6(a4,a1))
% 2.82/2.87 [117]~E(f6(a5,a3),f6(a3,a3))
% 2.82/2.87 [118]~E(f6(a5,a3),f6(a2,a3))
% 2.82/2.87 [119]~E(f6(a5,a3),f6(a4,a3))
% 2.82/2.87 [120]~E(f6(a5,a2),f6(a3,a2))
% 2.82/2.87 [121]~E(f6(a5,a2),f6(a2,a2))
% 2.82/2.87 [122]~E(f6(a5,a2),f6(a4,a2))
% 2.82/2.87 [123]~E(f6(a5,a2),f6(a5,a3))
% 2.82/2.87 [124]~E(f6(a5,a4),f6(a3,a4))
% 2.82/2.87 [125]~E(f6(a5,a4),f6(a2,a4))
% 2.82/2.87 [126]~E(f6(a5,a4),f6(a4,a4))
% 2.82/2.87 [127]~E(f6(a5,a4),f6(a5,a3))
% 2.82/2.87 [128]~E(f6(a5,a4),f6(a5,a2))
% 2.82/2.87 [129]~E(f6(a5,a5),f6(a3,a5))
% 2.82/2.87 [130]~E(f6(a5,a5),f6(a2,a5))
% 2.82/2.87 [131]~E(f6(a5,a5),f6(a4,a5))
% 2.82/2.87 [132]~E(f6(a5,a5),f6(a5,a3))
% 2.82/2.87 [133]~E(f6(a5,a5),f6(a5,a2))
% 2.82/2.87 [134]~E(f6(a5,a5),f6(a5,a4))
% 2.82/2.87 [135]~E(f6(a5,a1),f6(a3,a1))
% 2.82/2.87 [136]~E(f6(a5,a1),f6(a2,a1))
% 2.82/2.87 [137]~E(f6(a5,a1),f6(a4,a1))
% 2.82/2.87 [138]~E(f6(a5,a3),f6(a5,a1))
% 2.82/2.87 [139]~E(f6(a5,a2),f6(a5,a1))
% 2.82/2.87 [140]~E(f6(a5,a4),f6(a5,a1))
% 2.82/2.87 [141]~E(f6(a5,a5),f6(a5,a1))
% 2.82/2.87 [142]~E(f6(a3,a3),f6(a1,a3))
% 2.82/2.87 [143]~E(f6(a2,a3),f6(a1,a3))
% 2.82/2.87 [144]~E(f6(a4,a3),f6(a1,a3))
% 2.82/2.87 [145]~E(f6(a5,a3),f6(a1,a3))
% 2.82/2.87 [146]~E(f6(a3,a2),f6(a1,a2))
% 2.82/2.87 [147]~E(f6(a2,a2),f6(a1,a2))
% 2.82/2.87 [148]~E(f6(a4,a2),f6(a1,a2))
% 2.82/2.87 [149]~E(f6(a5,a2),f6(a1,a2))
% 2.82/2.87 [150]~E(f6(a1,a2),f6(a1,a3))
% 2.82/2.87 [151]~E(f6(a3,a4),f6(a1,a4))
% 2.82/2.87 [152]~E(f6(a2,a4),f6(a1,a4))
% 2.82/2.87 [153]~E(f6(a4,a4),f6(a1,a4))
% 2.82/2.87 [154]~E(f6(a5,a4),f6(a1,a4))
% 2.82/2.87 [155]~E(f6(a1,a4),f6(a1,a3))
% 2.82/2.87 [156]~E(f6(a1,a4),f6(a1,a2))
% 2.82/2.87 [157]~E(f6(a3,a5),f6(a1,a5))
% 2.82/2.87 [158]~E(f6(a2,a5),f6(a1,a5))
% 2.82/2.87 [159]~E(f6(a4,a5),f6(a1,a5))
% 2.82/2.87 [160]~E(f6(a5,a5),f6(a1,a5))
% 2.82/2.87 [161]~E(f6(a1,a5),f6(a1,a3))
% 2.82/2.87 [162]~E(f6(a1,a5),f6(a1,a2))
% 2.82/2.87 [163]~E(f6(a1,a5),f6(a1,a4))
% 2.82/2.87 [164]~E(f6(a3,a1),f6(a1,a1))
% 2.82/2.87 [165]~E(f6(a2,a1),f6(a1,a1))
% 2.82/2.87 [166]~E(f6(a4,a1),f6(a1,a1))
% 2.82/2.87 [167]~E(f6(a5,a1),f6(a1,a1))
% 2.82/2.87 [168]~E(f6(a1,a3),f6(a1,a1))
% 2.82/2.87 [169]~E(f6(a1,a2),f6(a1,a1))
% 2.82/2.87 [170]~E(f6(a1,a4),f6(a1,a1))
% 2.82/2.87 [171]~E(f6(a1,a5),f6(a1,a1))
% 2.82/2.87 [9]E(f6(a1,f6(a1,a1)),a3)
% 2.82/2.87 [10]E(f6(a3,f6(a3,a3)),a3)
% 2.82/2.87 [11]E(f6(a3,f6(a3,a2)),a2)
% 2.82/2.87 [12]E(f6(a3,f6(a3,a4)),a4)
% 2.82/2.87 [13]E(f6(a3,f6(a3,a5)),a5)
% 2.82/2.87 [14]E(f6(a3,f6(a3,a1)),a1)
% 2.82/2.87 [15]E(f6(a2,f6(a2,a3)),a3)
% 2.82/2.87 [16]E(f6(a2,f6(a2,a2)),a2)
% 2.82/2.87 [17]E(f6(a2,f6(a2,a4)),a4)
% 2.82/2.87 [18]E(f6(a2,f6(a2,a5)),a5)
% 2.82/2.87 [19]E(f6(a2,f6(a2,a1)),a1)
% 2.82/2.87 [20]E(f6(a4,f6(a4,a3)),a3)
% 2.82/2.87 [21]E(f6(a4,f6(a4,a2)),a2)
% 2.82/2.87 [22]E(f6(a4,f6(a4,a4)),a4)
% 2.82/2.87 [23]E(f6(a4,f6(a4,a5)),a5)
% 2.82/2.87 [24]E(f6(a4,f6(a4,a1)),a1)
% 2.82/2.87 [25]E(f6(a5,f6(a5,a3)),a3)
% 2.82/2.87 [26]E(f6(a5,f6(a5,a2)),a2)
% 2.82/2.87 [27]E(f6(a5,f6(a5,a4)),a4)
% 2.82/2.87 [28]E(f6(a5,f6(a5,a5)),a5)
% 2.82/2.87 [29]E(f6(a5,f6(a5,a1)),a1)
% 2.82/2.87 [30]E(f6(a1,f6(a1,a3)),a3)
% 2.82/2.87 [31]E(f6(a1,f6(a1,a2)),a2)
% 2.82/2.87 [32]E(f6(a1,f6(a1,a4)),a4)
% 2.82/2.87 [33]E(f6(a1,f6(a1,a5)),a5)
% 2.82/2.87 [34]E(f6(a1,f6(a1,a1)),a1)
% 2.82/2.87 [35]E(f6(f6(a3,a3),f6(a3,a3)),a3)
% 2.82/2.87 [36]E(f6(f6(a3,a2),f6(a2,a3)),a2)
% 2.82/2.87 [37]E(f6(f6(a3,a4),f6(a4,a3)),a4)
% 2.82/2.87 [38]E(f6(f6(a3,a5),f6(a5,a3)),a5)
% 2.82/2.87 [39]E(f6(f6(a3,a1),f6(a1,a3)),a1)
% 2.82/2.87 [40]E(f6(f6(a2,a3),f6(a3,a2)),a3)
% 2.82/2.87 [41]E(f6(f6(a2,a2),f6(a2,a2)),a2)
% 2.82/2.87 [42]E(f6(f6(a2,a4),f6(a4,a2)),a4)
% 2.82/2.87 [43]E(f6(f6(a2,a5),f6(a5,a2)),a5)
% 2.82/2.87 [44]E(f6(f6(a2,a1),f6(a1,a2)),a1)
% 2.82/2.87 [45]E(f6(f6(a4,a3),f6(a3,a4)),a3)
% 2.82/2.87 [46]E(f6(f6(a4,a2),f6(a2,a4)),a2)
% 2.82/2.87 [47]E(f6(f6(a4,a4),f6(a4,a4)),a4)
% 2.82/2.87 [48]E(f6(f6(a4,a5),f6(a5,a4)),a5)
% 2.82/2.87 [49]E(f6(f6(a4,a1),f6(a1,a4)),a1)
% 2.82/2.87 [50]E(f6(f6(a5,a3),f6(a3,a5)),a3)
% 2.82/2.87 [51]E(f6(f6(a5,a2),f6(a2,a5)),a2)
% 2.82/2.87 [52]E(f6(f6(a5,a4),f6(a4,a5)),a4)
% 2.82/2.87 [53]E(f6(f6(a5,a5),f6(a5,a5)),a5)
% 2.82/2.87 [54]E(f6(f6(a5,a1),f6(a1,a5)),a1)
% 2.82/2.87 [55]E(f6(f6(a1,a3),f6(a3,a1)),a3)
% 2.82/2.87 [56]E(f6(f6(a1,a2),f6(a2,a1)),a2)
% 2.82/2.87 [57]E(f6(f6(a1,a4),f6(a4,a1)),a4)
% 2.82/2.87 [58]E(f6(f6(a1,a5),f6(a5,a1)),a5)
% 2.82/2.87 [59]E(f6(f6(a1,a1),f6(a1,a1)),a1)
% 2.82/2.87 [60]E(f6(f6(a1,f6(a1,a1)),f6(a1,a1)),a4)
% 2.82/2.87 [61]E(f6(f6(a1,f6(a1,a1)),f6(a1,f6(a1,a1))),a5)
% 2.82/2.87 [172]P1(a500)+~E(f6(a3,a1),a3)
% 2.82/2.87 [173]P1(a500)+~E(f6(a2,a1),a2)
% 2.82/2.87 [174]P1(a500)+~E(f6(a4,a1),a4)
% 2.82/2.87 [175]P1(a500)+~E(f6(a5,a1),a5)
% 2.82/2.87 [176]P1(a500)+~E(f6(a1,a1),a1)
% 2.82/2.87 [177]~P2(a500)+~E(f6(a3,a3),a3)+~E(f6(a3,a2),a3)
% 2.82/2.87 [178]~P2(a500)+~E(f6(a3,a3),a3)+~E(f6(a2,a2),a2)
% 2.82/2.87 [179]~P2(a500)+~E(f6(a3,a3),a3)+~E(f6(a4,a2),a4)
% 2.82/2.87 [180]~P2(a500)+~E(f6(a3,a3),a3)+~E(f6(a5,a2),a5)
% 2.82/2.87 [181]~P2(a500)+~E(f6(a3,a3),a3)+~E(f6(a1,a2),a1)
% 2.82/2.87 [182]~P2(a500)+~E(f6(a3,a2),a3)+~E(f6(a2,a3),a2)
% 2.82/2.87 [183]~P2(a500)+~E(f6(a3,a2),a3)+~E(f6(a4,a3),a4)
% 2.82/2.87 [184]~P2(a500)+~E(f6(a3,a2),a3)+~E(f6(a5,a3),a5)
% 2.82/2.87 [185]~P2(a500)+~E(f6(a3,a2),a3)+~E(f6(a1,a3),a1)
% 2.82/2.87 [186]~P2(a500)+~E(f6(a2,a3),a2)+~E(f6(a2,a2),a2)
% 2.82/2.87 [187]~P2(a500)+~E(f6(a2,a3),a2)+~E(f6(a4,a2),a4)
% 2.82/2.87 [188]~P2(a500)+~E(f6(a2,a3),a2)+~E(f6(a5,a2),a5)
% 2.82/2.87 [189]~P2(a500)+~E(f6(a2,a3),a2)+~E(f6(a1,a2),a1)
% 2.82/2.87 [190]~P2(a500)+~E(f6(a2,a2),a2)+~E(f6(a4,a3),a4)
% 2.82/2.87 [191]~P2(a500)+~E(f6(a2,a2),a2)+~E(f6(a5,a3),a5)
% 2.82/2.87 [192]~P2(a500)+~E(f6(a2,a2),a2)+~E(f6(a1,a3),a1)
% 2.82/2.87 [193]~P2(a500)+~E(f6(a4,a3),a4)+~E(f6(a4,a2),a4)
% 2.82/2.87 [194]~P2(a500)+~E(f6(a4,a3),a4)+~E(f6(a5,a2),a5)
% 2.82/2.87 [195]~P2(a500)+~E(f6(a4,a3),a4)+~E(f6(a1,a2),a1)
% 2.82/2.87 [196]~P2(a500)+~E(f6(a4,a2),a4)+~E(f6(a5,a3),a5)
% 2.82/2.87 [197]~P2(a500)+~E(f6(a4,a2),a4)+~E(f6(a1,a3),a1)
% 2.82/2.87 [198]~P2(a500)+~E(f6(a5,a3),a5)+~E(f6(a5,a2),a5)
% 2.82/2.87 [199]~P2(a500)+~E(f6(a5,a3),a5)+~E(f6(a1,a2),a1)
% 2.82/2.87 [200]~P2(a500)+~E(f6(a5,a2),a5)+~E(f6(a1,a3),a1)
% 2.82/2.87 [201]~P2(a500)+~E(f6(a1,a3),a1)+~E(f6(a1,a2),a1)
% 2.82/2.87 [202]P2(a500)+~P1(a500)+~E(f6(a3,a4),a3)+~E(f6(a3,a5),a3)
% 2.82/2.87 [203]P2(a500)+~P1(a500)+~E(f6(a3,a4),a3)+~E(f6(a2,a5),a2)
% 2.82/2.87 [204]P2(a500)+~P1(a500)+~E(f6(a3,a4),a3)+~E(f6(a4,a5),a4)
% 2.82/2.87 [205]P2(a500)+~P1(a500)+~E(f6(a3,a4),a3)+~E(f6(a5,a5),a5)
% 2.82/2.87 [206]P2(a500)+~P1(a500)+~E(f6(a3,a4),a3)+~E(f6(a1,a5),a1)
% 2.82/2.87 [207]P2(a500)+~P1(a500)+~E(f6(a3,a5),a3)+~E(f6(a2,a4),a2)
% 2.82/2.87 [208]P2(a500)+~P1(a500)+~E(f6(a3,a5),a3)+~E(f6(a4,a4),a4)
% 2.82/2.87 [209]P2(a500)+~P1(a500)+~E(f6(a3,a5),a3)+~E(f6(a5,a4),a5)
% 2.82/2.87 [210]P2(a500)+~P1(a500)+~E(f6(a3,a5),a3)+~E(f6(a1,a4),a1)
% 2.82/2.87 [211]P2(a500)+~P1(a500)+~E(f6(a2,a4),a2)+~E(f6(a2,a5),a2)
% 2.82/2.87 [212]P2(a500)+~P1(a500)+~E(f6(a2,a4),a2)+~E(f6(a4,a5),a4)
% 2.82/2.87 [213]P2(a500)+~P1(a500)+~E(f6(a2,a4),a2)+~E(f6(a5,a5),a5)
% 2.82/2.87 [214]P2(a500)+~P1(a500)+~E(f6(a2,a4),a2)+~E(f6(a1,a5),a1)
% 2.82/2.87 [215]P2(a500)+~P1(a500)+~E(f6(a2,a5),a2)+~E(f6(a4,a4),a4)
% 2.82/2.87 [216]P2(a500)+~P1(a500)+~E(f6(a2,a5),a2)+~E(f6(a5,a4),a5)
% 2.82/2.87 [217]P2(a500)+~P1(a500)+~E(f6(a2,a5),a2)+~E(f6(a1,a4),a1)
% 2.82/2.87 [218]P2(a500)+~P1(a500)+~E(f6(a4,a4),a4)+~E(f6(a4,a5),a4)
% 2.82/2.87 [219]P2(a500)+~P1(a500)+~E(f6(a4,a4),a4)+~E(f6(a5,a5),a5)
% 2.82/2.87 [220]P2(a500)+~P1(a500)+~E(f6(a4,a4),a4)+~E(f6(a1,a5),a1)
% 2.82/2.87 [221]P2(a500)+~P1(a500)+~E(f6(a4,a5),a4)+~E(f6(a5,a4),a5)
% 2.82/2.87 [222]P2(a500)+~P1(a500)+~E(f6(a4,a5),a4)+~E(f6(a1,a4),a1)
% 2.82/2.87 [223]P2(a500)+~P1(a500)+~E(f6(a5,a4),a5)+~E(f6(a5,a5),a5)
% 2.82/2.87 [224]P2(a500)+~P1(a500)+~E(f6(a5,a4),a5)+~E(f6(a1,a5),a1)
% 2.82/2.87 [225]P2(a500)+~P1(a500)+~E(f6(a5,a5),a5)+~E(f6(a1,a4),a1)
% 2.82/2.87 [226]P2(a500)+~P1(a500)+~E(f6(a1,a4),a1)+~E(f6(a1,a5),a1)
% 2.82/2.87 [227]E(f6(a3,a3),a1)+E(f6(a3,a3),a5)+E(f6(a3,a3),a4)+E(f6(a3,a3),a2)+E(f6(a3,a3),a3)
% 2.82/2.87 [228]E(f6(a3,a3),a3)+E(f6(a3,a2),a3)+E(f6(a3,a4),a3)+E(f6(a3,a5),a3)+E(f6(a3,a1),a3)
% 2.82/2.87 [229]E(f6(a3,a3),a3)+E(f6(a2,a3),a3)+E(f6(a4,a3),a3)+E(f6(a5,a3),a3)+E(f6(a1,a3),a3)
% 2.82/2.87 [230]E(f6(a3,a3),a2)+E(f6(a3,a2),a2)+E(f6(a3,a4),a2)+E(f6(a3,a5),a2)+E(f6(a3,a1),a2)
% 2.82/2.87 [231]E(f6(a3,a3),a2)+E(f6(a2,a3),a2)+E(f6(a4,a3),a2)+E(f6(a5,a3),a2)+E(f6(a1,a3),a2)
% 2.82/2.87 [232]E(f6(a3,a3),a4)+E(f6(a3,a2),a4)+E(f6(a3,a4),a4)+E(f6(a3,a5),a4)+E(f6(a3,a1),a4)
% 2.82/2.87 [233]E(f6(a3,a3),a4)+E(f6(a2,a3),a4)+E(f6(a4,a3),a4)+E(f6(a5,a3),a4)+E(f6(a1,a3),a4)
% 2.82/2.87 [234]E(f6(a3,a3),a5)+E(f6(a3,a2),a5)+E(f6(a3,a4),a5)+E(f6(a3,a5),a5)+E(f6(a3,a1),a5)
% 2.82/2.87 [235]E(f6(a3,a3),a5)+E(f6(a2,a3),a5)+E(f6(a4,a3),a5)+E(f6(a5,a3),a5)+E(f6(a1,a3),a5)
% 2.82/2.87 [236]E(f6(a3,a3),a1)+E(f6(a3,a2),a1)+E(f6(a3,a4),a1)+E(f6(a3,a5),a1)+E(f6(a3,a1),a1)
% 2.82/2.87 [237]E(f6(a3,a3),a1)+E(f6(a2,a3),a1)+E(f6(a4,a3),a1)+E(f6(a5,a3),a1)+E(f6(a1,a3),a1)
% 2.82/2.87 [238]E(f6(a3,a2),a1)+E(f6(a3,a2),a5)+E(f6(a3,a2),a4)+E(f6(a3,a2),a2)+E(f6(a3,a2),a3)
% 2.82/2.87 [239]E(f6(a3,a2),a3)+E(f6(a2,a2),a3)+E(f6(a4,a2),a3)+E(f6(a5,a2),a3)+E(f6(a1,a2),a3)
% 2.82/2.87 [240]E(f6(a3,a2),a2)+E(f6(a2,a2),a2)+E(f6(a4,a2),a2)+E(f6(a5,a2),a2)+E(f6(a1,a2),a2)
% 2.82/2.87 [241]E(f6(a3,a2),a4)+E(f6(a2,a2),a4)+E(f6(a4,a2),a4)+E(f6(a5,a2),a4)+E(f6(a1,a2),a4)
% 2.82/2.87 [242]E(f6(a3,a2),a5)+E(f6(a2,a2),a5)+E(f6(a4,a2),a5)+E(f6(a5,a2),a5)+E(f6(a1,a2),a5)
% 2.82/2.87 [243]E(f6(a3,a2),a1)+E(f6(a2,a2),a1)+E(f6(a4,a2),a1)+E(f6(a5,a2),a1)+E(f6(a1,a2),a1)
% 2.82/2.87 [244]E(f6(a3,a4),a1)+E(f6(a3,a4),a5)+E(f6(a3,a4),a4)+E(f6(a3,a4),a2)+E(f6(a3,a4),a3)
% 2.82/2.87 [245]E(f6(a3,a4),a3)+E(f6(a2,a4),a3)+E(f6(a4,a4),a3)+E(f6(a5,a4),a3)+E(f6(a1,a4),a3)
% 2.82/2.87 [246]E(f6(a3,a4),a2)+E(f6(a2,a4),a2)+E(f6(a4,a4),a2)+E(f6(a5,a4),a2)+E(f6(a1,a4),a2)
% 2.82/2.87 [247]E(f6(a3,a4),a4)+E(f6(a2,a4),a4)+E(f6(a4,a4),a4)+E(f6(a5,a4),a4)+E(f6(a1,a4),a4)
% 2.82/2.87 [248]E(f6(a3,a4),a5)+E(f6(a2,a4),a5)+E(f6(a4,a4),a5)+E(f6(a5,a4),a5)+E(f6(a1,a4),a5)
% 2.82/2.87 [249]E(f6(a3,a4),a1)+E(f6(a2,a4),a1)+E(f6(a4,a4),a1)+E(f6(a5,a4),a1)+E(f6(a1,a4),a1)
% 2.82/2.87 [250]E(f6(a3,a5),a1)+E(f6(a3,a5),a5)+E(f6(a3,a5),a4)+E(f6(a3,a5),a2)+E(f6(a3,a5),a3)
% 2.82/2.87 [251]E(f6(a3,a5),a3)+E(f6(a2,a5),a3)+E(f6(a4,a5),a3)+E(f6(a5,a5),a3)+E(f6(a1,a5),a3)
% 2.82/2.87 [252]E(f6(a3,a5),a2)+E(f6(a2,a5),a2)+E(f6(a4,a5),a2)+E(f6(a5,a5),a2)+E(f6(a1,a5),a2)
% 2.82/2.87 [253]E(f6(a3,a5),a4)+E(f6(a2,a5),a4)+E(f6(a4,a5),a4)+E(f6(a5,a5),a4)+E(f6(a1,a5),a4)
% 2.82/2.87 [254]E(f6(a3,a5),a5)+E(f6(a2,a5),a5)+E(f6(a4,a5),a5)+E(f6(a5,a5),a5)+E(f6(a1,a5),a5)
% 2.82/2.87 [255]E(f6(a3,a5),a1)+E(f6(a2,a5),a1)+E(f6(a4,a5),a1)+E(f6(a5,a5),a1)+E(f6(a1,a5),a1)
% 2.82/2.87 [256]E(f6(a3,a1),a1)+E(f6(a3,a1),a5)+E(f6(a3,a1),a4)+E(f6(a3,a1),a2)+E(f6(a3,a1),a3)
% 2.82/2.87 [257]E(f6(a1,a1),a3)+E(f6(a3,a1),a3)+E(f6(a2,a1),a3)+E(f6(a4,a1),a3)+E(f6(a5,a1),a3)
% 2.82/2.87 [259]E(f6(a1,a1),a4)+E(f6(a3,a1),a4)+E(f6(a2,a1),a4)+E(f6(a4,a1),a4)+E(f6(a5,a1),a4)
% 2.82/2.87 [260]E(f6(a1,a1),a5)+E(f6(a3,a1),a5)+E(f6(a2,a1),a5)+E(f6(a4,a1),a5)+E(f6(a5,a1),a5)
% 2.82/2.87 [261]E(f6(a1,a1),a1)+E(f6(a3,a1),a1)+E(f6(a2,a1),a1)+E(f6(a4,a1),a1)+E(f6(a5,a1),a1)
% 2.82/2.87 [262]E(f6(a2,a3),a1)+E(f6(a2,a3),a5)+E(f6(a2,a3),a4)+E(f6(a2,a3),a2)+E(f6(a2,a3),a3)
% 2.82/2.87 [263]E(f6(a2,a3),a3)+E(f6(a2,a2),a3)+E(f6(a2,a4),a3)+E(f6(a2,a5),a3)+E(f6(a2,a1),a3)
% 2.82/2.87 [264]E(f6(a2,a3),a2)+E(f6(a2,a2),a2)+E(f6(a2,a4),a2)+E(f6(a2,a5),a2)+E(f6(a2,a1),a2)
% 2.82/2.87 [265]E(f6(a2,a3),a4)+E(f6(a2,a2),a4)+E(f6(a2,a4),a4)+E(f6(a2,a5),a4)+E(f6(a2,a1),a4)
% 2.82/2.87 [266]E(f6(a2,a3),a5)+E(f6(a2,a2),a5)+E(f6(a2,a4),a5)+E(f6(a2,a5),a5)+E(f6(a2,a1),a5)
% 2.82/2.87 [267]E(f6(a2,a3),a1)+E(f6(a2,a2),a1)+E(f6(a2,a4),a1)+E(f6(a2,a5),a1)+E(f6(a2,a1),a1)
% 2.82/2.87 [268]E(f6(a2,a2),a1)+E(f6(a2,a2),a5)+E(f6(a2,a2),a4)+E(f6(a2,a2),a2)+E(f6(a2,a2),a3)
% 2.82/2.87 [269]E(f6(a2,a4),a1)+E(f6(a2,a4),a5)+E(f6(a2,a4),a4)+E(f6(a2,a4),a2)+E(f6(a2,a4),a3)
% 2.82/2.87 [270]E(f6(a2,a5),a1)+E(f6(a2,a5),a5)+E(f6(a2,a5),a4)+E(f6(a2,a5),a2)+E(f6(a2,a5),a3)
% 2.82/2.87 [271]E(f6(a2,a1),a1)+E(f6(a2,a1),a5)+E(f6(a2,a1),a4)+E(f6(a2,a1),a2)+E(f6(a2,a1),a3)
% 2.82/2.87 [272]E(f6(a4,a3),a1)+E(f6(a4,a3),a5)+E(f6(a4,a3),a4)+E(f6(a4,a3),a2)+E(f6(a4,a3),a3)
% 2.82/2.87 [273]E(f6(a4,a3),a3)+E(f6(a4,a2),a3)+E(f6(a4,a4),a3)+E(f6(a4,a5),a3)+E(f6(a4,a1),a3)
% 2.82/2.87 [274]E(f6(a4,a3),a2)+E(f6(a4,a2),a2)+E(f6(a4,a4),a2)+E(f6(a4,a5),a2)+E(f6(a4,a1),a2)
% 2.82/2.87 [275]E(f6(a4,a3),a4)+E(f6(a4,a2),a4)+E(f6(a4,a4),a4)+E(f6(a4,a5),a4)+E(f6(a4,a1),a4)
% 2.82/2.87 [276]E(f6(a4,a3),a5)+E(f6(a4,a2),a5)+E(f6(a4,a4),a5)+E(f6(a4,a5),a5)+E(f6(a4,a1),a5)
% 2.82/2.87 [277]E(f6(a4,a3),a1)+E(f6(a4,a2),a1)+E(f6(a4,a4),a1)+E(f6(a4,a5),a1)+E(f6(a4,a1),a1)
% 2.82/2.87 [278]E(f6(a4,a2),a1)+E(f6(a4,a2),a5)+E(f6(a4,a2),a4)+E(f6(a4,a2),a2)+E(f6(a4,a2),a3)
% 2.82/2.87 [279]E(f6(a4,a4),a1)+E(f6(a4,a4),a5)+E(f6(a4,a4),a4)+E(f6(a4,a4),a2)+E(f6(a4,a4),a3)
% 2.82/2.87 [280]E(f6(a4,a5),a1)+E(f6(a4,a5),a5)+E(f6(a4,a5),a4)+E(f6(a4,a5),a2)+E(f6(a4,a5),a3)
% 2.82/2.87 [281]E(f6(a4,a1),a1)+E(f6(a4,a1),a5)+E(f6(a4,a1),a4)+E(f6(a4,a1),a2)+E(f6(a4,a1),a3)
% 2.82/2.87 [282]E(f6(a5,a3),a1)+E(f6(a5,a3),a5)+E(f6(a5,a3),a4)+E(f6(a5,a3),a2)+E(f6(a5,a3),a3)
% 2.82/2.87 [283]E(f6(a5,a3),a3)+E(f6(a5,a2),a3)+E(f6(a5,a4),a3)+E(f6(a5,a5),a3)+E(f6(a5,a1),a3)
% 2.82/2.87 [284]E(f6(a5,a3),a2)+E(f6(a5,a2),a2)+E(f6(a5,a4),a2)+E(f6(a5,a5),a2)+E(f6(a5,a1),a2)
% 2.82/2.87 [285]E(f6(a5,a3),a4)+E(f6(a5,a2),a4)+E(f6(a5,a4),a4)+E(f6(a5,a5),a4)+E(f6(a5,a1),a4)
% 2.82/2.87 [286]E(f6(a5,a3),a5)+E(f6(a5,a2),a5)+E(f6(a5,a4),a5)+E(f6(a5,a5),a5)+E(f6(a5,a1),a5)
% 2.82/2.87 [287]E(f6(a5,a3),a1)+E(f6(a5,a2),a1)+E(f6(a5,a4),a1)+E(f6(a5,a5),a1)+E(f6(a5,a1),a1)
% 2.82/2.87 [288]E(f6(a5,a2),a1)+E(f6(a5,a2),a5)+E(f6(a5,a2),a4)+E(f6(a5,a2),a2)+E(f6(a5,a2),a3)
% 2.82/2.87 [289]E(f6(a5,a4),a1)+E(f6(a5,a4),a5)+E(f6(a5,a4),a4)+E(f6(a5,a4),a2)+E(f6(a5,a4),a3)
% 2.82/2.87 [290]E(f6(a5,a5),a1)+E(f6(a5,a5),a5)+E(f6(a5,a5),a4)+E(f6(a5,a5),a2)+E(f6(a5,a5),a3)
% 2.82/2.87 [291]E(f6(a5,a1),a1)+E(f6(a5,a1),a5)+E(f6(a5,a1),a4)+E(f6(a5,a1),a2)+E(f6(a5,a1),a3)
% 2.82/2.87 [292]E(f6(a1,a3),a1)+E(f6(a1,a3),a5)+E(f6(a1,a3),a4)+E(f6(a1,a3),a2)+E(f6(a1,a3),a3)
% 2.82/2.87 [293]E(f6(a1,a1),a3)+E(f6(a1,a3),a3)+E(f6(a1,a2),a3)+E(f6(a1,a4),a3)+E(f6(a1,a5),a3)
% 2.82/2.87 [295]E(f6(a1,a1),a4)+E(f6(a1,a3),a4)+E(f6(a1,a2),a4)+E(f6(a1,a4),a4)+E(f6(a1,a5),a4)
% 2.82/2.87 [296]E(f6(a1,a1),a5)+E(f6(a1,a3),a5)+E(f6(a1,a2),a5)+E(f6(a1,a4),a5)+E(f6(a1,a5),a5)
% 2.82/2.87 [297]E(f6(a1,a3),a1)+E(f6(a1,a1),a1)+E(f6(a1,a2),a1)+E(f6(a1,a4),a1)+E(f6(a1,a5),a1)
% 2.82/2.87 [298]E(f6(a1,a2),a1)+E(f6(a1,a2),a5)+E(f6(a1,a2),a4)+E(f6(a1,a2),a2)+E(f6(a1,a2),a3)
% 2.82/2.87 [299]E(f6(a1,a4),a1)+E(f6(a1,a4),a5)+E(f6(a1,a4),a4)+E(f6(a1,a4),a2)+E(f6(a1,a4),a3)
% 2.82/2.87 [300]E(f6(a1,a5),a1)+E(f6(a1,a5),a5)+E(f6(a1,a5),a4)+E(f6(a1,a5),a2)+E(f6(a1,a5),a3)
% 2.82/2.87 %EqnAxiom
% 2.82/2.87 [1]E(x11,x11)
% 2.82/2.87 [2]E(x22,x21)+~E(x21,x22)
% 2.82/2.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.82/2.87 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 2.82/2.87 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 2.82/2.87 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 2.82/2.87 [7]~P2(x71)+P2(x72)+~E(x71,x72)
% 2.82/2.87
% 2.82/2.87 %-------------------------------------------
% 2.82/2.87 cnf(314,plain,
% 2.82/2.87 (E(f6(x3141,f6(a3,f6(a3,a4))),f6(x3141,a4))),
% 2.82/2.87 inference(scs_inference,[],[12,65,9,2,3,5])).
% 2.82/2.87 cnf(456,plain,
% 2.82/2.87 (~E(a3,f6(a1,f6(a1,a1)))),
% 2.82/2.87 inference(scs_inference,[],[34,68,3])).
% 2.82/2.87 cnf(480,plain,
% 2.82/2.87 ($false),
% 2.82/2.87 inference(scs_inference,[],[9,110,314,456,3,2]),
% 2.82/2.87 ['proof']).
% 2.82/2.87 % SZS output end Proof
% 2.82/2.87 % Total time :2.150000s
%------------------------------------------------------------------------------