%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG025+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 : Tue May 5 04:04:12 PM UTC 2026
% Result : Theorem 0.39s 1.61s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 24
% Syntax : Number of formulae : 592 ( 493 unt; 0 def)
% Number of atoms : 2006 (1999 equ)
% Maximal formula atoms : 216 ( 3 avg)
% Number of connectives : 1990 ( 576 ~; 588 |; 760 &)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 216 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
( ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) )
| ~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax8,axiom,
( ( inv(e0) = e0
=> inv(e0) = e0 )
& ( inv(e0) = e1
=> inv(e1) = e0 )
& ( inv(e0) = e2
=> inv(e2) = e0 )
& ( inv(e0) = e3
=> inv(e3) = e0 )
& ( inv(e0) = e4
=> inv(e4) = e0 )
& ( inv(e0) = e5
=> inv(e5) = e0 )
& ( inv(e1) = e0
=> inv(e0) = e1 )
& ( inv(e1) = e1
=> inv(e1) = e1 )
& ( inv(e1) = e2
=> inv(e2) = e1 )
& ( inv(e1) = e3
=> inv(e3) = e1 )
& ( inv(e1) = e4
=> inv(e4) = e1 )
& ( inv(e1) = e5
=> inv(e5) = e1 )
& ( inv(e2) = e0
=> inv(e0) = e2 )
& ( inv(e2) = e1
=> inv(e1) = e2 )
& ( inv(e2) = e2
=> inv(e2) = e2 )
& ( inv(e2) = e3
=> inv(e3) = e2 )
& ( inv(e2) = e4
=> inv(e4) = e2 )
& ( inv(e2) = e5
=> inv(e5) = e2 )
& ( inv(e3) = e0
=> inv(e0) = e3 )
& ( inv(e3) = e1
=> inv(e1) = e3 )
& ( inv(e3) = e2
=> inv(e2) = e3 )
& ( inv(e3) = e3
=> inv(e3) = e3 )
& ( inv(e3) = e4
=> inv(e4) = e3 )
& ( inv(e3) = e5
=> inv(e5) = e3 )
& ( inv(e4) = e0
=> inv(e0) = e4 )
& ( inv(e4) = e1
=> inv(e1) = e4 )
& ( inv(e4) = e2
=> inv(e2) = e4 )
& ( inv(e4) = e3
=> inv(e3) = e4 )
& ( inv(e4) = e4
=> inv(e4) = e4 )
& ( inv(e4) = e5
=> inv(e5) = e4 )
& ( inv(e5) = e0
=> inv(e0) = e5 )
& ( inv(e5) = e1
=> inv(e1) = e5 )
& ( inv(e5) = e2
=> inv(e2) = e5 )
& ( inv(e5) = e3
=> inv(e3) = e5 )
& ( inv(e5) = e4
=> inv(e4) = e5 )
& ( inv(e5) = e5
=> inv(e5) = e5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4
| op(e0,e0) = e5 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e1) = e5 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e0,e2) = e5 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| op(e0,e3) = e5 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4
| op(e0,e4) = e5 )
& ( op(e0,e5) = e0
| op(e0,e5) = e1
| op(e0,e5) = e2
| op(e0,e5) = e3
| op(e0,e5) = e4
| op(e0,e5) = e5 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(e1,e0) = e5 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4
| op(e1,e1) = e5 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e1,e2) = e5 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4
| op(e1,e3) = e5 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4
| op(e1,e4) = e5 )
& ( op(e1,e5) = e0
| op(e1,e5) = e1
| op(e1,e5) = e2
| op(e1,e5) = e3
| op(e1,e5) = e4
| op(e1,e5) = e5 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4
| op(e2,e0) = e5 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4
| op(e2,e1) = e5 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4
| op(e2,e2) = e5 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4
| op(e2,e3) = e5 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4
| op(e2,e4) = e5 )
& ( op(e2,e5) = e0
| op(e2,e5) = e1
| op(e2,e5) = e2
| op(e2,e5) = e3
| op(e2,e5) = e4
| op(e2,e5) = e5 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4
| op(e3,e0) = e5 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4
| op(e3,e1) = e5 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4
| op(e3,e2) = e5 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e3,e3) = e5 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4
| op(e3,e4) = e5 )
& ( op(e3,e5) = e0
| op(e3,e5) = e1
| op(e3,e5) = e2
| op(e3,e5) = e3
| op(e3,e5) = e4
| op(e3,e5) = e5 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4
| op(e4,e0) = e5 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4
| op(e4,e1) = e5 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4
| op(e4,e2) = e5 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4
| op(e4,e3) = e5 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4
| op(e4,e4) = e5 )
& ( op(e4,e5) = e0
| op(e4,e5) = e1
| op(e4,e5) = e2
| op(e4,e5) = e3
| op(e4,e5) = e4
| op(e4,e5) = e5 )
& ( op(e5,e0) = e0
| op(e5,e0) = e1
| op(e5,e0) = e2
| op(e5,e0) = e3
| op(e5,e0) = e4
| op(e5,e0) = e5 )
& ( op(e5,e1) = e0
| op(e5,e1) = e1
| op(e5,e1) = e2
| op(e5,e1) = e3
| op(e5,e1) = e4
| op(e5,e1) = e5 )
& ( op(e5,e2) = e0
| op(e5,e2) = e1
| op(e5,e2) = e2
| op(e5,e2) = e3
| op(e5,e2) = e4
| op(e5,e2) = e5 )
& ( op(e5,e3) = e0
| op(e5,e3) = e1
| op(e5,e3) = e2
| op(e5,e3) = e3
| op(e5,e3) = e4
| op(e5,e3) = e5 )
& ( op(e5,e4) = e0
| op(e5,e4) = e1
| op(e5,e4) = e2
| op(e5,e4) = e3
| op(e5,e4) = e4
| op(e5,e4) = e5 )
& ( op(e5,e5) = e0
| op(e5,e5) = e1
| op(e5,e5) = e2
| op(e5,e5) = e3
| op(e5,e5) = e4
| op(e5,e5) = e5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax2,axiom,
( op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e4) = op(e0,op(e0,e4))
& op(op(e0,e0),e5) = op(e0,op(e0,e5))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e4) = op(e0,op(e1,e4))
& op(op(e0,e1),e5) = op(e0,op(e1,e5))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e4) = op(e0,op(e2,e4))
& op(op(e0,e2),e5) = op(e0,op(e2,e5))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e4) = op(e0,op(e3,e4))
& op(op(e0,e3),e5) = op(e0,op(e3,e5))
& op(op(e0,e4),e0) = op(e0,op(e4,e0))
& op(op(e0,e4),e1) = op(e0,op(e4,e1))
& op(op(e0,e4),e2) = op(e0,op(e4,e2))
& op(op(e0,e4),e3) = op(e0,op(e4,e3))
& op(op(e0,e4),e4) = op(e0,op(e4,e4))
& op(op(e0,e4),e5) = op(e0,op(e4,e5))
& op(op(e0,e5),e0) = op(e0,op(e5,e0))
& op(op(e0,e5),e1) = op(e0,op(e5,e1))
& op(op(e0,e5),e2) = op(e0,op(e5,e2))
& op(op(e0,e5),e3) = op(e0,op(e5,e3))
& op(op(e0,e5),e4) = op(e0,op(e5,e4))
& op(op(e0,e5),e5) = op(e0,op(e5,e5))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e4) = op(e1,op(e0,e4))
& op(op(e1,e0),e5) = op(e1,op(e0,e5))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e4) = op(e1,op(e1,e4))
& op(op(e1,e1),e5) = op(e1,op(e1,e5))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e4) = op(e1,op(e2,e4))
& op(op(e1,e2),e5) = op(e1,op(e2,e5))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e4) = op(e1,op(e3,e4))
& op(op(e1,e3),e5) = op(e1,op(e3,e5))
& op(op(e1,e4),e0) = op(e1,op(e4,e0))
& op(op(e1,e4),e1) = op(e1,op(e4,e1))
& op(op(e1,e4),e2) = op(e1,op(e4,e2))
& op(op(e1,e4),e3) = op(e1,op(e4,e3))
& op(op(e1,e4),e4) = op(e1,op(e4,e4))
& op(op(e1,e4),e5) = op(e1,op(e4,e5))
& op(op(e1,e5),e0) = op(e1,op(e5,e0))
& op(op(e1,e5),e1) = op(e1,op(e5,e1))
& op(op(e1,e5),e2) = op(e1,op(e5,e2))
& op(op(e1,e5),e3) = op(e1,op(e5,e3))
& op(op(e1,e5),e4) = op(e1,op(e5,e4))
& op(op(e1,e5),e5) = op(e1,op(e5,e5))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e4) = op(e2,op(e0,e4))
& op(op(e2,e0),e5) = op(e2,op(e0,e5))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e4) = op(e2,op(e1,e4))
& op(op(e2,e1),e5) = op(e2,op(e1,e5))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e4) = op(e2,op(e2,e4))
& op(op(e2,e2),e5) = op(e2,op(e2,e5))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e4) = op(e2,op(e3,e4))
& op(op(e2,e3),e5) = op(e2,op(e3,e5))
& op(op(e2,e4),e0) = op(e2,op(e4,e0))
& op(op(e2,e4),e1) = op(e2,op(e4,e1))
& op(op(e2,e4),e2) = op(e2,op(e4,e2))
& op(op(e2,e4),e3) = op(e2,op(e4,e3))
& op(op(e2,e4),e4) = op(e2,op(e4,e4))
& op(op(e2,e4),e5) = op(e2,op(e4,e5))
& op(op(e2,e5),e0) = op(e2,op(e5,e0))
& op(op(e2,e5),e1) = op(e2,op(e5,e1))
& op(op(e2,e5),e2) = op(e2,op(e5,e2))
& op(op(e2,e5),e3) = op(e2,op(e5,e3))
& op(op(e2,e5),e4) = op(e2,op(e5,e4))
& op(op(e2,e5),e5) = op(e2,op(e5,e5))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e4) = op(e3,op(e0,e4))
& op(op(e3,e0),e5) = op(e3,op(e0,e5))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e4) = op(e3,op(e1,e4))
& op(op(e3,e1),e5) = op(e3,op(e1,e5))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e4) = op(e3,op(e2,e4))
& op(op(e3,e2),e5) = op(e3,op(e2,e5))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e4) = op(e3,op(e3,e4))
& op(op(e3,e3),e5) = op(e3,op(e3,e5))
& op(op(e3,e4),e0) = op(e3,op(e4,e0))
& op(op(e3,e4),e1) = op(e3,op(e4,e1))
& op(op(e3,e4),e2) = op(e3,op(e4,e2))
& op(op(e3,e4),e3) = op(e3,op(e4,e3))
& op(op(e3,e4),e4) = op(e3,op(e4,e4))
& op(op(e3,e4),e5) = op(e3,op(e4,e5))
& op(op(e3,e5),e0) = op(e3,op(e5,e0))
& op(op(e3,e5),e1) = op(e3,op(e5,e1))
& op(op(e3,e5),e2) = op(e3,op(e5,e2))
& op(op(e3,e5),e3) = op(e3,op(e5,e3))
& op(op(e3,e5),e4) = op(e3,op(e5,e4))
& op(op(e3,e5),e5) = op(e3,op(e5,e5))
& op(op(e4,e0),e0) = op(e4,op(e0,e0))
& op(op(e4,e0),e1) = op(e4,op(e0,e1))
& op(op(e4,e0),e2) = op(e4,op(e0,e2))
& op(op(e4,e0),e3) = op(e4,op(e0,e3))
& op(op(e4,e0),e4) = op(e4,op(e0,e4))
& op(op(e4,e0),e5) = op(e4,op(e0,e5))
& op(op(e4,e1),e0) = op(e4,op(e1,e0))
& op(op(e4,e1),e1) = op(e4,op(e1,e1))
& op(op(e4,e1),e2) = op(e4,op(e1,e2))
& op(op(e4,e1),e3) = op(e4,op(e1,e3))
& op(op(e4,e1),e4) = op(e4,op(e1,e4))
& op(op(e4,e1),e5) = op(e4,op(e1,e5))
& op(op(e4,e2),e0) = op(e4,op(e2,e0))
& op(op(e4,e2),e1) = op(e4,op(e2,e1))
& op(op(e4,e2),e2) = op(e4,op(e2,e2))
& op(op(e4,e2),e3) = op(e4,op(e2,e3))
& op(op(e4,e2),e4) = op(e4,op(e2,e4))
& op(op(e4,e2),e5) = op(e4,op(e2,e5))
& op(op(e4,e3),e0) = op(e4,op(e3,e0))
& op(op(e4,e3),e1) = op(e4,op(e3,e1))
& op(op(e4,e3),e2) = op(e4,op(e3,e2))
& op(op(e4,e3),e3) = op(e4,op(e3,e3))
& op(op(e4,e3),e4) = op(e4,op(e3,e4))
& op(op(e4,e3),e5) = op(e4,op(e3,e5))
& op(op(e4,e4),e0) = op(e4,op(e4,e0))
& op(op(e4,e4),e1) = op(e4,op(e4,e1))
& op(op(e4,e4),e2) = op(e4,op(e4,e2))
& op(op(e4,e4),e3) = op(e4,op(e4,e3))
& op(op(e4,e4),e4) = op(e4,op(e4,e4))
& op(op(e4,e4),e5) = op(e4,op(e4,e5))
& op(op(e4,e5),e0) = op(e4,op(e5,e0))
& op(op(e4,e5),e1) = op(e4,op(e5,e1))
& op(op(e4,e5),e2) = op(e4,op(e5,e2))
& op(op(e4,e5),e3) = op(e4,op(e5,e3))
& op(op(e4,e5),e4) = op(e4,op(e5,e4))
& op(op(e4,e5),e5) = op(e4,op(e5,e5))
& op(op(e5,e0),e0) = op(e5,op(e0,e0))
& op(op(e5,e0),e1) = op(e5,op(e0,e1))
& op(op(e5,e0),e2) = op(e5,op(e0,e2))
& op(op(e5,e0),e3) = op(e5,op(e0,e3))
& op(op(e5,e0),e4) = op(e5,op(e0,e4))
& op(op(e5,e0),e5) = op(e5,op(e0,e5))
& op(op(e5,e1),e0) = op(e5,op(e1,e0))
& op(op(e5,e1),e1) = op(e5,op(e1,e1))
& op(op(e5,e1),e2) = op(e5,op(e1,e2))
& op(op(e5,e1),e3) = op(e5,op(e1,e3))
& op(op(e5,e1),e4) = op(e5,op(e1,e4))
& op(op(e5,e1),e5) = op(e5,op(e1,e5))
& op(op(e5,e2),e0) = op(e5,op(e2,e0))
& op(op(e5,e2),e1) = op(e5,op(e2,e1))
& op(op(e5,e2),e2) = op(e5,op(e2,e2))
& op(op(e5,e2),e3) = op(e5,op(e2,e3))
& op(op(e5,e2),e4) = op(e5,op(e2,e4))
& op(op(e5,e2),e5) = op(e5,op(e2,e5))
& op(op(e5,e3),e0) = op(e5,op(e3,e0))
& op(op(e5,e3),e1) = op(e5,op(e3,e1))
& op(op(e5,e3),e2) = op(e5,op(e3,e2))
& op(op(e5,e3),e3) = op(e5,op(e3,e3))
& op(op(e5,e3),e4) = op(e5,op(e3,e4))
& op(op(e5,e3),e5) = op(e5,op(e3,e5))
& op(op(e5,e4),e0) = op(e5,op(e4,e0))
& op(op(e5,e4),e1) = op(e5,op(e4,e1))
& op(op(e5,e4),e2) = op(e5,op(e4,e2))
& op(op(e5,e4),e3) = op(e5,op(e4,e3))
& op(op(e5,e4),e4) = op(e5,op(e4,e4))
& op(op(e5,e4),e5) = op(e5,op(e4,e5))
& op(op(e5,e5),e0) = op(e5,op(e5,e0))
& op(op(e5,e5),e1) = op(e5,op(e5,e1))
& op(op(e5,e5),e2) = op(e5,op(e5,e2))
& op(op(e5,e5),e3) = op(e5,op(e5,e3))
& op(op(e5,e5),e4) = op(e5,op(e5,e4))
& op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax10,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e5,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e5,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e5,e0)
& op(e3,e0) != op(e4,e0)
& op(e3,e0) != op(e5,e0)
& op(e4,e0) != op(e5,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e5,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e5,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e5,e1)
& op(e3,e1) != op(e4,e1)
& op(e3,e1) != op(e5,e1)
& op(e4,e1) != op(e5,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e5,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e5,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e5,e2)
& op(e3,e2) != op(e4,e2)
& op(e3,e2) != op(e5,e2)
& op(e4,e2) != op(e5,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e5,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e5,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e5,e3)
& op(e3,e3) != op(e4,e3)
& op(e3,e3) != op(e5,e3)
& op(e4,e3) != op(e5,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e5,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e5,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e5,e4)
& op(e3,e4) != op(e4,e4)
& op(e3,e4) != op(e5,e4)
& op(e4,e4) != op(e5,e4)
& op(e0,e5) != op(e1,e5)
& op(e0,e5) != op(e2,e5)
& op(e0,e5) != op(e3,e5)
& op(e0,e5) != op(e4,e5)
& op(e0,e5) != op(e5,e5)
& op(e1,e5) != op(e2,e5)
& op(e1,e5) != op(e3,e5)
& op(e1,e5) != op(e4,e5)
& op(e1,e5) != op(e5,e5)
& op(e2,e5) != op(e3,e5)
& op(e2,e5) != op(e4,e5)
& op(e2,e5) != op(e5,e5)
& op(e3,e5) != op(e4,e5)
& op(e3,e5) != op(e5,e5)
& op(e4,e5) != op(e5,e5)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e5)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e5)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e5)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e0,e5)
& op(e0,e4) != op(e0,e5)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e5)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e5)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e5)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e1,e5)
& op(e1,e4) != op(e1,e5)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e5)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e5)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e5)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e2,e5)
& op(e2,e4) != op(e2,e5)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e5)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e5)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e5)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e3,e5)
& op(e3,e4) != op(e3,e5)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e5)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e5)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e5)
& op(e4,e3) != op(e4,e4)
& op(e4,e3) != op(e4,e5)
& op(e4,e4) != op(e4,e5)
& op(e5,e0) != op(e5,e1)
& op(e5,e0) != op(e5,e2)
& op(e5,e0) != op(e5,e3)
& op(e5,e0) != op(e5,e4)
& op(e5,e0) != op(e5,e5)
& op(e5,e1) != op(e5,e2)
& op(e5,e1) != op(e5,e3)
& op(e5,e1) != op(e5,e4)
& op(e5,e1) != op(e5,e5)
& op(e5,e2) != op(e5,e3)
& op(e5,e2) != op(e5,e4)
& op(e5,e2) != op(e5,e5)
& op(e5,e3) != op(e5,e4)
& op(e5,e3) != op(e5,e5)
& op(e5,e4) != op(e5,e5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(ax4,axiom,
( op(e0,inv(e0)) = unit
& op(inv(e0),e0) = unit
& op(e1,inv(e1)) = unit
& op(inv(e1),e1) = unit
& op(e2,inv(e2)) = unit
& op(inv(e2),e2) = unit
& op(e3,inv(e3)) = unit
& op(inv(e3),e3) = unit
& op(e4,inv(e4)) = unit
& op(inv(e4),e4) = unit
& op(e5,inv(e5)) = unit
& op(inv(e5),e5) = unit
& ( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3
| inv(e0) = e4
| inv(e0) = e5 )
& ( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3
| inv(e1) = e4
| inv(e1) = e5 )
& ( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3
| inv(e2) = e4
| inv(e2) = e5 )
& ( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3
| inv(e3) = e4
| inv(e3) = e5 )
& ( inv(e4) = e0
| inv(e4) = e1
| inv(e4) = e2
| inv(e4) = e3
| inv(e4) = e4
| inv(e4) = e5 )
& ( inv(e5) = e0
| inv(e5) = e1
| inv(e5) = e2
| inv(e5) = e3
| inv(e5) = e4
| inv(e5) = e5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax3,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& op(unit,e5) = e5
& op(e5,unit) = e5
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4
| unit = e5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax9,axiom,
( inv(e0) != inv(e1)
& inv(e0) != inv(e2)
& inv(e0) != inv(e3)
& inv(e0) != inv(e4)
& inv(e0) != inv(e5)
& inv(e1) != inv(e2)
& inv(e1) != inv(e3)
& inv(e1) != inv(e4)
& inv(e1) != inv(e5)
& inv(e2) != inv(e3)
& inv(e2) != inv(e4)
& inv(e2) != inv(e5)
& inv(e3) != inv(e4)
& inv(e3) != inv(e5)
& inv(e4) != inv(e5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(ax7,axiom,
( inv(inv(e0)) = e0
& inv(inv(e1)) = e1
& inv(inv(e2)) = e2
& inv(inv(e3)) = e3
& inv(inv(e4)) = e4
& inv(inv(e5)) = e5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(ax6,axiom,
inv(unit) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax11,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e0 != e5
& e1 != e2
& e1 != e3
& e1 != e4
& e1 != e5
& e2 != e3
& e2 != e4
& e2 != e5
& e3 != e4
& e3 != e5
& e4 != e5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax5,axiom,
unit = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(i_0_12,negated_conjecture,
~ ( ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) )
| ~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(i_0_13,negated_conjecture,
( ( op(e0,e0) != op(e0,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e5) != op(e5,e0)
| op(e1,e0) != op(e0,e1)
| op(e1,e1) != op(e1,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e5) != op(e5,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e5) != op(e5,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| op(e3,e3) != op(e3,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e5) != op(e5,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| op(e4,e4) != op(e4,e4)
| op(e4,e5) != op(e5,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5)
| op(e5,e5) != op(e5,e5) )
& op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ),
inference(fof_nnf,[status(thm)],[i_0_12]) ).
fof(i_0_14,plain,
( ( inv(e0) = e1
=> inv(e1) = e0 )
& ( inv(e0) = e2
=> inv(e2) = e0 )
& ( inv(e0) = e3
=> inv(e3) = e0 )
& ( inv(e0) = e4
=> inv(e4) = e0 )
& ( inv(e0) = e5
=> inv(e5) = e0 )
& ( inv(e1) = e0
=> inv(e0) = e1 )
& ( inv(e1) = e2
=> inv(e2) = e1 )
& ( inv(e1) = e3
=> inv(e3) = e1 )
& ( inv(e1) = e4
=> inv(e4) = e1 )
& ( inv(e1) = e5
=> inv(e5) = e1 )
& ( inv(e2) = e0
=> inv(e0) = e2 )
& ( inv(e2) = e1
=> inv(e1) = e2 )
& ( inv(e2) = e3
=> inv(e3) = e2 )
& ( inv(e2) = e4
=> inv(e4) = e2 )
& ( inv(e2) = e5
=> inv(e5) = e2 )
& ( inv(e3) = e0
=> inv(e0) = e3 )
& ( inv(e3) = e1
=> inv(e1) = e3 )
& ( inv(e3) = e2
=> inv(e2) = e3 )
& ( inv(e3) = e4
=> inv(e4) = e3 )
& ( inv(e3) = e5
=> inv(e5) = e3 )
& ( inv(e4) = e0
=> inv(e0) = e4 )
& ( inv(e4) = e1
=> inv(e1) = e4 )
& ( inv(e4) = e2
=> inv(e2) = e4 )
& ( inv(e4) = e3
=> inv(e3) = e4 )
& ( inv(e4) = e5
=> inv(e5) = e4 )
& ( inv(e5) = e0
=> inv(e0) = e5 )
& ( inv(e5) = e1
=> inv(e1) = e5 )
& ( inv(e5) = e2
=> inv(e2) = e5 )
& ( inv(e5) = e3
=> inv(e3) = e5 )
& ( inv(e5) = e4
=> inv(e4) = e5 ) ),
inference(fof_simplification,[status(thm)],[ax8]) ).
cnf(i_0_15,negated_conjecture,
( $false
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e5) != op(e5,e0)
| op(e1,e0) != op(e0,e1)
| $false
| op(e1,e2) != op(e2,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e5) != op(e5,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| $false
| op(e2,e3) != op(e3,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e5) != op(e5,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| $false
| op(e3,e4) != op(e4,e3)
| op(e3,e5) != op(e5,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| $false
| op(e4,e5) != op(e5,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5)
| $false ),
inference(split_conjunct,[status(thm)],[i_0_13]) ).
fof(i_0_16,plain,
( ( inv(e0) != e1
| inv(e1) = e0 )
& ( inv(e0) != e2
| inv(e2) = e0 )
& ( inv(e0) != e3
| inv(e3) = e0 )
& ( inv(e0) != e4
| inv(e4) = e0 )
& ( inv(e0) != e5
| inv(e5) = e0 )
& ( inv(e1) != e0
| inv(e0) = e1 )
& ( inv(e1) != e2
| inv(e2) = e1 )
& ( inv(e1) != e3
| inv(e3) = e1 )
& ( inv(e1) != e4
| inv(e4) = e1 )
& ( inv(e1) != e5
| inv(e5) = e1 )
& ( inv(e2) != e0
| inv(e0) = e2 )
& ( inv(e2) != e1
| inv(e1) = e2 )
& ( inv(e2) != e3
| inv(e3) = e2 )
& ( inv(e2) != e4
| inv(e4) = e2 )
& ( inv(e2) != e5
| inv(e5) = e2 )
& ( inv(e3) != e0
| inv(e0) = e3 )
& ( inv(e3) != e1
| inv(e1) = e3 )
& ( inv(e3) != e2
| inv(e2) = e3 )
& ( inv(e3) != e4
| inv(e4) = e3 )
& ( inv(e3) != e5
| inv(e5) = e3 )
& ( inv(e4) != e0
| inv(e0) = e4 )
& ( inv(e4) != e1
| inv(e1) = e4 )
& ( inv(e4) != e2
| inv(e2) = e4 )
& ( inv(e4) != e3
| inv(e3) = e4 )
& ( inv(e4) != e5
| inv(e5) = e4 )
& ( inv(e5) != e0
| inv(e0) = e5 )
& ( inv(e5) != e1
| inv(e1) = e5 )
& ( inv(e5) != e2
| inv(e2) = e5 )
& ( inv(e5) != e3
| inv(e3) = e5 )
& ( inv(e5) != e4
| inv(e4) = e5 ) ),
inference(fof_nnf,[status(thm)],[i_0_14]) ).
cnf(i_0_17,negated_conjecture,
( op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5) ),
inference(cn,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_18,plain,
( op(e5,e5) = e0
| op(e5,e5) = e1
| op(e5,e5) = e2
| op(e5,e5) = e3
| op(e5,e5) = e4
| op(e5,e5) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_19,plain,
( op(e5,e4) = e0
| op(e5,e4) = e1
| op(e5,e4) = e2
| op(e5,e4) = e3
| op(e5,e4) = e4
| op(e5,e4) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_20,plain,
( op(e5,e3) = e0
| op(e5,e3) = e1
| op(e5,e3) = e2
| op(e5,e3) = e3
| op(e5,e3) = e4
| op(e5,e3) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_21,plain,
( op(e5,e2) = e0
| op(e5,e2) = e1
| op(e5,e2) = e2
| op(e5,e2) = e3
| op(e5,e2) = e4
| op(e5,e2) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_22,plain,
( op(e5,e1) = e0
| op(e5,e1) = e1
| op(e5,e1) = e2
| op(e5,e1) = e3
| op(e5,e1) = e4
| op(e5,e1) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_23,plain,
( op(e5,e0) = e0
| op(e5,e0) = e1
| op(e5,e0) = e2
| op(e5,e0) = e3
| op(e5,e0) = e4
| op(e5,e0) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_24,plain,
( op(e4,e5) = e0
| op(e4,e5) = e1
| op(e4,e5) = e2
| op(e4,e5) = e3
| op(e4,e5) = e4
| op(e4,e5) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_25,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4
| op(e4,e4) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_26,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4
| op(e4,e3) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_27,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4
| op(e4,e2) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_28,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4
| op(e4,e1) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_29,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4
| op(e4,e0) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_30,plain,
( op(e3,e5) = e0
| op(e3,e5) = e1
| op(e3,e5) = e2
| op(e3,e5) = e3
| op(e3,e5) = e4
| op(e3,e5) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_31,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4
| op(e3,e4) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_32,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e3,e3) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_33,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4
| op(e3,e2) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_34,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4
| op(e3,e1) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_35,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4
| op(e3,e0) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_36,plain,
( op(e2,e5) = e0
| op(e2,e5) = e1
| op(e2,e5) = e2
| op(e2,e5) = e3
| op(e2,e5) = e4
| op(e2,e5) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_37,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4
| op(e2,e4) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_38,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4
| op(e2,e3) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_39,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4
| op(e2,e2) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_40,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4
| op(e2,e1) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_41,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4
| op(e2,e0) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_42,plain,
( op(e1,e5) = e0
| op(e1,e5) = e1
| op(e1,e5) = e2
| op(e1,e5) = e3
| op(e1,e5) = e4
| op(e1,e5) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_43,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4
| op(e1,e4) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_44,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4
| op(e1,e3) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_45,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e1,e2) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_46,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4
| op(e1,e1) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_47,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(e1,e0) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_48,plain,
( op(e0,e5) = e0
| op(e0,e5) = e1
| op(e0,e5) = e2
| op(e0,e5) = e3
| op(e0,e5) = e4
| op(e0,e5) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_49,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4
| op(e0,e4) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_50,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| op(e0,e3) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_51,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e0,e2) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_52,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e1) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_53,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4
| op(e0,e0) = e5 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_54,plain,
op(op(e5,e5),e5) = op(e5,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_55,plain,
op(op(e5,e5),e4) = op(e5,op(e5,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_56,plain,
op(op(e5,e5),e3) = op(e5,op(e5,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_57,plain,
op(op(e5,e5),e2) = op(e5,op(e5,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_58,plain,
op(op(e5,e5),e1) = op(e5,op(e5,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_59,plain,
op(op(e5,e5),e0) = op(e5,op(e5,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_60,plain,
op(op(e5,e4),e5) = op(e5,op(e4,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_61,plain,
op(op(e5,e4),e4) = op(e5,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_62,plain,
op(op(e5,e4),e3) = op(e5,op(e4,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_63,plain,
op(op(e5,e4),e2) = op(e5,op(e4,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_64,plain,
op(op(e5,e4),e1) = op(e5,op(e4,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_65,plain,
op(op(e5,e4),e0) = op(e5,op(e4,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_66,plain,
op(op(e5,e3),e5) = op(e5,op(e3,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_67,plain,
op(op(e5,e3),e4) = op(e5,op(e3,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_68,plain,
op(op(e5,e3),e3) = op(e5,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_69,plain,
op(op(e5,e3),e2) = op(e5,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_70,plain,
op(op(e5,e3),e1) = op(e5,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_71,plain,
op(op(e5,e3),e0) = op(e5,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_72,plain,
op(op(e5,e2),e5) = op(e5,op(e2,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_73,plain,
op(op(e5,e2),e4) = op(e5,op(e2,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_74,plain,
op(op(e5,e2),e3) = op(e5,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_75,plain,
op(op(e5,e2),e2) = op(e5,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_76,plain,
op(op(e5,e2),e1) = op(e5,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_77,plain,
op(op(e5,e2),e0) = op(e5,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_78,plain,
op(op(e5,e1),e5) = op(e5,op(e1,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_79,plain,
op(op(e5,e1),e4) = op(e5,op(e1,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_80,plain,
op(op(e5,e1),e3) = op(e5,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_81,plain,
op(op(e5,e1),e2) = op(e5,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_82,plain,
op(op(e5,e1),e1) = op(e5,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_83,plain,
op(op(e5,e1),e0) = op(e5,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_84,plain,
op(op(e5,e0),e5) = op(e5,op(e0,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_85,plain,
op(op(e5,e0),e4) = op(e5,op(e0,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_86,plain,
op(op(e5,e0),e3) = op(e5,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_87,plain,
op(op(e5,e0),e2) = op(e5,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_88,plain,
op(op(e5,e0),e1) = op(e5,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_89,plain,
op(op(e5,e0),e0) = op(e5,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_90,plain,
op(op(e4,e5),e5) = op(e4,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_91,plain,
op(op(e4,e5),e4) = op(e4,op(e5,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_92,plain,
op(op(e4,e5),e3) = op(e4,op(e5,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_93,plain,
op(op(e4,e5),e2) = op(e4,op(e5,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_94,plain,
op(op(e4,e5),e1) = op(e4,op(e5,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_95,plain,
op(op(e4,e5),e0) = op(e4,op(e5,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_96,plain,
op(op(e4,e4),e5) = op(e4,op(e4,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_97,plain,
op(op(e4,e4),e4) = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_98,plain,
op(op(e4,e4),e3) = op(e4,op(e4,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_99,plain,
op(op(e4,e4),e2) = op(e4,op(e4,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_100,plain,
op(op(e4,e4),e1) = op(e4,op(e4,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_101,plain,
op(op(e4,e4),e0) = op(e4,op(e4,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_102,plain,
op(op(e4,e3),e5) = op(e4,op(e3,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_103,plain,
op(op(e4,e3),e4) = op(e4,op(e3,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_104,plain,
op(op(e4,e3),e3) = op(e4,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_105,plain,
op(op(e4,e3),e2) = op(e4,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_106,plain,
op(op(e4,e3),e1) = op(e4,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_107,plain,
op(op(e4,e3),e0) = op(e4,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_108,plain,
op(op(e4,e2),e5) = op(e4,op(e2,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_109,plain,
op(op(e4,e2),e4) = op(e4,op(e2,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_110,plain,
op(op(e4,e2),e3) = op(e4,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_111,plain,
op(op(e4,e2),e2) = op(e4,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_112,plain,
op(op(e4,e2),e1) = op(e4,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_113,plain,
op(op(e4,e2),e0) = op(e4,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_114,plain,
op(op(e4,e1),e5) = op(e4,op(e1,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_115,plain,
op(op(e4,e1),e4) = op(e4,op(e1,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_116,plain,
op(op(e4,e1),e3) = op(e4,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_117,plain,
op(op(e4,e1),e2) = op(e4,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_118,plain,
op(op(e4,e1),e1) = op(e4,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_119,plain,
op(op(e4,e1),e0) = op(e4,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_120,plain,
op(op(e4,e0),e5) = op(e4,op(e0,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_121,plain,
op(op(e4,e0),e4) = op(e4,op(e0,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_122,plain,
op(op(e4,e0),e3) = op(e4,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_123,plain,
op(op(e4,e0),e2) = op(e4,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_124,plain,
op(op(e4,e0),e1) = op(e4,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_125,plain,
op(op(e4,e0),e0) = op(e4,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_126,plain,
op(op(e3,e5),e5) = op(e3,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_127,plain,
op(op(e3,e5),e4) = op(e3,op(e5,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_128,plain,
op(op(e3,e5),e3) = op(e3,op(e5,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_129,plain,
op(op(e3,e5),e2) = op(e3,op(e5,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_130,plain,
op(op(e3,e5),e1) = op(e3,op(e5,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_131,plain,
op(op(e3,e5),e0) = op(e3,op(e5,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_132,plain,
op(op(e3,e4),e5) = op(e3,op(e4,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_133,plain,
op(op(e3,e4),e4) = op(e3,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_134,plain,
op(op(e3,e4),e3) = op(e3,op(e4,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_135,plain,
op(op(e3,e4),e2) = op(e3,op(e4,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_136,plain,
op(op(e3,e4),e1) = op(e3,op(e4,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_137,plain,
op(op(e3,e4),e0) = op(e3,op(e4,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_138,plain,
op(op(e3,e3),e5) = op(e3,op(e3,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_139,plain,
op(op(e3,e3),e4) = op(e3,op(e3,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_140,plain,
op(op(e3,e3),e3) = op(e3,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_141,plain,
op(op(e3,e3),e2) = op(e3,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_142,plain,
op(op(e3,e3),e1) = op(e3,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_143,plain,
op(op(e3,e3),e0) = op(e3,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_144,plain,
op(op(e3,e2),e5) = op(e3,op(e2,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_145,plain,
op(op(e3,e2),e4) = op(e3,op(e2,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_146,plain,
op(op(e3,e2),e3) = op(e3,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_147,plain,
op(op(e3,e2),e2) = op(e3,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_148,plain,
op(op(e3,e2),e1) = op(e3,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_149,plain,
op(op(e3,e2),e0) = op(e3,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_150,plain,
op(op(e3,e1),e5) = op(e3,op(e1,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_151,plain,
op(op(e3,e1),e4) = op(e3,op(e1,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_152,plain,
op(op(e3,e1),e3) = op(e3,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_153,plain,
op(op(e3,e1),e2) = op(e3,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_154,plain,
op(op(e3,e1),e1) = op(e3,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_155,plain,
op(op(e3,e1),e0) = op(e3,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_156,plain,
op(op(e3,e0),e5) = op(e3,op(e0,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_157,plain,
op(op(e3,e0),e4) = op(e3,op(e0,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_158,plain,
op(op(e3,e0),e3) = op(e3,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_159,plain,
op(op(e3,e0),e2) = op(e3,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_160,plain,
op(op(e3,e0),e1) = op(e3,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_161,plain,
op(op(e3,e0),e0) = op(e3,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_162,plain,
op(op(e2,e5),e5) = op(e2,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_163,plain,
op(op(e2,e5),e4) = op(e2,op(e5,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_164,plain,
op(op(e2,e5),e3) = op(e2,op(e5,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_165,plain,
op(op(e2,e5),e2) = op(e2,op(e5,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_166,plain,
op(op(e2,e5),e1) = op(e2,op(e5,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_167,plain,
op(op(e2,e5),e0) = op(e2,op(e5,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_168,plain,
op(op(e2,e4),e5) = op(e2,op(e4,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_169,plain,
op(op(e2,e4),e4) = op(e2,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_170,plain,
op(op(e2,e4),e3) = op(e2,op(e4,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_171,plain,
op(op(e2,e4),e2) = op(e2,op(e4,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_172,plain,
op(op(e2,e4),e1) = op(e2,op(e4,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_173,plain,
op(op(e2,e4),e0) = op(e2,op(e4,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_174,plain,
op(op(e2,e3),e5) = op(e2,op(e3,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_175,plain,
op(op(e2,e3),e4) = op(e2,op(e3,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_176,plain,
op(op(e2,e3),e3) = op(e2,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_177,plain,
op(op(e2,e3),e2) = op(e2,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_178,plain,
op(op(e2,e3),e1) = op(e2,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_179,plain,
op(op(e2,e3),e0) = op(e2,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_180,plain,
op(op(e2,e2),e5) = op(e2,op(e2,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_181,plain,
op(op(e2,e2),e4) = op(e2,op(e2,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_182,plain,
op(op(e2,e2),e3) = op(e2,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_183,plain,
op(op(e2,e2),e2) = op(e2,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_184,plain,
op(op(e2,e2),e1) = op(e2,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_185,plain,
op(op(e2,e2),e0) = op(e2,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_186,plain,
op(op(e2,e1),e5) = op(e2,op(e1,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_187,plain,
op(op(e2,e1),e4) = op(e2,op(e1,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_188,plain,
op(op(e2,e1),e3) = op(e2,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_189,plain,
op(op(e2,e1),e2) = op(e2,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_190,plain,
op(op(e2,e1),e1) = op(e2,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_191,plain,
op(op(e2,e1),e0) = op(e2,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_192,plain,
op(op(e2,e0),e5) = op(e2,op(e0,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_193,plain,
op(op(e2,e0),e4) = op(e2,op(e0,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_194,plain,
op(op(e2,e0),e3) = op(e2,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_195,plain,
op(op(e2,e0),e2) = op(e2,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_196,plain,
op(op(e2,e0),e1) = op(e2,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_197,plain,
op(op(e2,e0),e0) = op(e2,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_198,plain,
op(op(e1,e5),e5) = op(e1,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_199,plain,
op(op(e1,e5),e4) = op(e1,op(e5,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_200,plain,
op(op(e1,e5),e3) = op(e1,op(e5,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_201,plain,
op(op(e1,e5),e2) = op(e1,op(e5,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_202,plain,
op(op(e1,e5),e1) = op(e1,op(e5,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_203,plain,
op(op(e1,e5),e0) = op(e1,op(e5,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_204,plain,
op(op(e1,e4),e5) = op(e1,op(e4,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_205,plain,
op(op(e1,e4),e4) = op(e1,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_206,plain,
op(op(e1,e4),e3) = op(e1,op(e4,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_207,plain,
op(op(e1,e4),e2) = op(e1,op(e4,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_208,plain,
op(op(e1,e4),e1) = op(e1,op(e4,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_209,plain,
op(op(e1,e4),e0) = op(e1,op(e4,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_210,plain,
op(op(e1,e3),e5) = op(e1,op(e3,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_211,plain,
op(op(e1,e3),e4) = op(e1,op(e3,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_212,plain,
op(op(e1,e3),e3) = op(e1,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_213,plain,
op(op(e1,e3),e2) = op(e1,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_214,plain,
op(op(e1,e3),e1) = op(e1,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_215,plain,
op(op(e1,e3),e0) = op(e1,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_216,plain,
op(op(e1,e2),e5) = op(e1,op(e2,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_217,plain,
op(op(e1,e2),e4) = op(e1,op(e2,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_218,plain,
op(op(e1,e2),e3) = op(e1,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_219,plain,
op(op(e1,e2),e2) = op(e1,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_220,plain,
op(op(e1,e2),e1) = op(e1,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_221,plain,
op(op(e1,e2),e0) = op(e1,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_222,plain,
op(op(e1,e1),e5) = op(e1,op(e1,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_223,plain,
op(op(e1,e1),e4) = op(e1,op(e1,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_224,plain,
op(op(e1,e1),e3) = op(e1,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_225,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_226,plain,
op(op(e1,e1),e1) = op(e1,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_227,plain,
op(op(e1,e1),e0) = op(e1,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_228,plain,
op(op(e1,e0),e5) = op(e1,op(e0,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_229,plain,
op(op(e1,e0),e4) = op(e1,op(e0,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_230,plain,
op(op(e1,e0),e3) = op(e1,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_231,plain,
op(op(e1,e0),e2) = op(e1,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_232,plain,
op(op(e1,e0),e1) = op(e1,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_233,plain,
op(op(e1,e0),e0) = op(e1,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_234,plain,
op(op(e0,e5),e5) = op(e0,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_235,plain,
op(op(e0,e5),e4) = op(e0,op(e5,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_236,plain,
op(op(e0,e5),e3) = op(e0,op(e5,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_237,plain,
op(op(e0,e5),e2) = op(e0,op(e5,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_238,plain,
op(op(e0,e5),e1) = op(e0,op(e5,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_239,plain,
op(op(e0,e5),e0) = op(e0,op(e5,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_240,plain,
op(op(e0,e4),e5) = op(e0,op(e4,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_241,plain,
op(op(e0,e4),e4) = op(e0,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_242,plain,
op(op(e0,e4),e3) = op(e0,op(e4,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_243,plain,
op(op(e0,e4),e2) = op(e0,op(e4,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_244,plain,
op(op(e0,e4),e1) = op(e0,op(e4,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_245,plain,
op(op(e0,e4),e0) = op(e0,op(e4,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_246,plain,
op(op(e0,e3),e5) = op(e0,op(e3,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_247,plain,
op(op(e0,e3),e4) = op(e0,op(e3,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_248,plain,
op(op(e0,e3),e3) = op(e0,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_249,plain,
op(op(e0,e3),e2) = op(e0,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_250,plain,
op(op(e0,e3),e1) = op(e0,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_251,plain,
op(op(e0,e3),e0) = op(e0,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_252,plain,
op(op(e0,e2),e5) = op(e0,op(e2,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_253,plain,
op(op(e0,e2),e4) = op(e0,op(e2,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_254,plain,
op(op(e0,e2),e3) = op(e0,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_255,plain,
op(op(e0,e2),e2) = op(e0,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_256,plain,
op(op(e0,e2),e1) = op(e0,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_257,plain,
op(op(e0,e2),e0) = op(e0,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_258,plain,
op(op(e0,e1),e5) = op(e0,op(e1,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_259,plain,
op(op(e0,e1),e4) = op(e0,op(e1,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_260,plain,
op(op(e0,e1),e3) = op(e0,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_261,plain,
op(op(e0,e1),e2) = op(e0,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_262,plain,
op(op(e0,e1),e1) = op(e0,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_263,plain,
op(op(e0,e1),e0) = op(e0,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_264,plain,
op(op(e0,e0),e5) = op(e0,op(e0,e5)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_265,plain,
op(op(e0,e0),e4) = op(e0,op(e0,e4)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_266,plain,
op(op(e0,e0),e3) = op(e0,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_267,plain,
op(op(e0,e0),e2) = op(e0,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_268,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_269,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_270,plain,
op(e5,e4) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_271,plain,
op(e5,e3) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_272,plain,
op(e5,e2) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_273,plain,
op(e5,e1) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_274,plain,
op(e5,e0) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_275,plain,
op(e4,e5) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_276,plain,
op(e3,e5) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_277,plain,
op(e2,e5) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_278,plain,
op(e1,e5) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_279,plain,
op(e0,e5) != op(e5,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_280,plain,
op(e5,e3) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_281,plain,
op(e5,e2) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_282,plain,
op(e5,e1) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_283,plain,
op(e5,e0) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_284,plain,
op(e4,e4) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_285,plain,
op(e3,e4) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_286,plain,
op(e2,e4) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_287,plain,
op(e1,e4) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_288,plain,
op(e0,e4) != op(e5,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_289,plain,
op(e5,e2) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_290,plain,
op(e5,e1) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_291,plain,
op(e5,e0) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_292,plain,
op(e4,e3) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_293,plain,
op(e3,e3) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_294,plain,
op(e2,e3) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_295,plain,
op(e1,e3) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_296,plain,
op(e0,e3) != op(e5,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_297,plain,
op(e5,e1) != op(e5,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_298,plain,
op(e5,e0) != op(e5,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_299,plain,
op(e4,e2) != op(e5,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_300,plain,
op(e3,e2) != op(e5,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_301,plain,
op(e2,e2) != op(e5,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_302,plain,
op(e1,e2) != op(e5,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_303,plain,
op(e0,e2) != op(e5,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_304,plain,
op(e5,e0) != op(e5,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_305,plain,
op(e4,e1) != op(e5,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_306,plain,
op(e3,e1) != op(e5,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_307,plain,
op(e2,e1) != op(e5,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_308,plain,
op(e1,e1) != op(e5,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_309,plain,
op(e0,e1) != op(e5,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_310,plain,
op(e4,e0) != op(e5,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_311,plain,
op(e3,e0) != op(e5,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_312,plain,
op(e2,e0) != op(e5,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_313,plain,
op(e1,e0) != op(e5,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_314,plain,
op(e0,e0) != op(e5,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_315,plain,
op(e4,e4) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_316,plain,
op(e4,e3) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_317,plain,
op(e4,e2) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_318,plain,
op(e4,e1) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_319,plain,
op(e4,e0) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_320,plain,
op(e3,e5) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_321,plain,
op(e2,e5) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_322,plain,
op(e1,e5) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_323,plain,
op(e0,e5) != op(e4,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_324,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_325,plain,
op(e4,e2) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_326,plain,
op(e4,e1) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_327,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_328,plain,
op(e3,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_329,plain,
op(e2,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_330,plain,
op(e1,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_331,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_332,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_333,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_334,plain,
op(e4,e0) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_335,plain,
op(e3,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_336,plain,
op(e2,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_337,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_338,plain,
op(e0,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_339,plain,
op(e4,e1) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_340,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_341,plain,
op(e3,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_342,plain,
op(e2,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_343,plain,
op(e1,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_344,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_345,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_346,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_347,plain,
op(e2,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_348,plain,
op(e1,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_349,plain,
op(e0,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_350,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_351,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_352,plain,
op(e1,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_353,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_354,plain,
op(e3,e4) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_355,plain,
op(e3,e3) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_356,plain,
op(e3,e2) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_357,plain,
op(e3,e1) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_358,plain,
op(e3,e0) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_359,plain,
op(e2,e5) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_360,plain,
op(e1,e5) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_361,plain,
op(e0,e5) != op(e3,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_362,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_363,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_364,plain,
op(e3,e1) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_365,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_366,plain,
op(e2,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_367,plain,
op(e1,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_368,plain,
op(e0,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_369,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_370,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_371,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_372,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_373,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_374,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_375,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_376,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_377,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_378,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_379,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_380,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_381,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_382,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_383,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_384,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_385,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_386,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_387,plain,
op(e2,e4) != op(e2,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_388,plain,
op(e2,e3) != op(e2,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_389,plain,
op(e2,e2) != op(e2,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_390,plain,
op(e2,e1) != op(e2,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_391,plain,
op(e2,e0) != op(e2,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_392,plain,
op(e1,e5) != op(e2,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_393,plain,
op(e0,e5) != op(e2,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_394,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_395,plain,
op(e2,e2) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_396,plain,
op(e2,e1) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_397,plain,
op(e2,e0) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_398,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_399,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_400,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_401,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_402,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_403,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_404,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_405,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_406,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_407,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_408,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_409,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_410,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_411,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_412,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_413,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_414,plain,
op(e1,e4) != op(e1,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_415,plain,
op(e1,e3) != op(e1,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_416,plain,
op(e1,e2) != op(e1,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_417,plain,
op(e1,e1) != op(e1,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_418,plain,
op(e1,e0) != op(e1,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_419,plain,
op(e0,e5) != op(e1,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_420,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_421,plain,
op(e1,e2) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_422,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_423,plain,
op(e1,e0) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_424,plain,
op(e0,e4) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_425,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_426,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_427,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_428,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_429,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_430,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_431,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_432,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_433,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_434,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_435,plain,
op(e0,e4) != op(e0,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_436,plain,
op(e0,e3) != op(e0,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_437,plain,
op(e0,e2) != op(e0,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_438,plain,
op(e0,e1) != op(e0,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_439,plain,
op(e0,e0) != op(e0,e5),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_440,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_441,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_442,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_443,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_444,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_445,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_446,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_447,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_448,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_449,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_450,negated_conjecture,
op(e4,e5) = op(e5,e4),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_451,negated_conjecture,
op(e5,e4) = op(e4,e5),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_452,negated_conjecture,
op(e3,e5) = op(e5,e3),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_453,negated_conjecture,
op(e5,e3) = op(e3,e5),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_454,negated_conjecture,
op(e2,e5) = op(e5,e2),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_455,negated_conjecture,
op(e5,e2) = op(e2,e5),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_456,negated_conjecture,
op(e1,e5) = op(e5,e1),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_457,negated_conjecture,
op(e5,e1) = op(e1,e5),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_458,negated_conjecture,
op(e0,e5) = op(e5,e0),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_459,negated_conjecture,
op(e5,e0) = op(e0,e5),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_460,negated_conjecture,
op(e3,e4) = op(e4,e3),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_461,negated_conjecture,
op(e4,e3) = op(e3,e4),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_462,negated_conjecture,
op(e2,e4) = op(e4,e2),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_463,negated_conjecture,
op(e4,e2) = op(e2,e4),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_464,negated_conjecture,
op(e1,e4) = op(e4,e1),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_465,negated_conjecture,
op(e4,e1) = op(e1,e4),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_466,negated_conjecture,
op(e0,e4) = op(e4,e0),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_467,negated_conjecture,
op(e4,e0) = op(e0,e4),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_468,negated_conjecture,
op(e2,e3) = op(e3,e2),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_469,negated_conjecture,
op(e3,e2) = op(e2,e3),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_470,negated_conjecture,
op(e1,e3) = op(e3,e1),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_471,negated_conjecture,
op(e3,e1) = op(e1,e3),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_472,negated_conjecture,
op(e0,e3) = op(e3,e0),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_473,negated_conjecture,
op(e3,e0) = op(e0,e3),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_474,negated_conjecture,
op(e1,e2) = op(e2,e1),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_475,negated_conjecture,
op(e2,e1) = op(e1,e2),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_476,negated_conjecture,
op(e0,e2) = op(e2,e0),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_477,negated_conjecture,
op(e2,e0) = op(e0,e2),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_478,negated_conjecture,
op(e0,e1) = op(e1,e0),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_479,negated_conjecture,
op(e1,e0) = op(e0,e1),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_480,plain,
( inv(e5) = e0
| inv(e5) = e1
| inv(e5) = e2
| inv(e5) = e3
| inv(e5) = e4
| inv(e5) = e5 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_481,plain,
( inv(e4) = e0
| inv(e4) = e1
| inv(e4) = e2
| inv(e4) = e3
| inv(e4) = e4
| inv(e4) = e5 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_482,plain,
( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3
| inv(e3) = e4
| inv(e3) = e5 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_483,plain,
( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3
| inv(e2) = e4
| inv(e2) = e5 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_484,plain,
( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3
| inv(e1) = e4
| inv(e1) = e5 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_485,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3
| inv(e0) = e4
| inv(e0) = e5 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_486,plain,
op(inv(e5),e5) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_487,plain,
op(inv(e4),e4) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_488,plain,
op(inv(e3),e3) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_489,plain,
op(inv(e2),e2) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_490,plain,
op(inv(e1),e1) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_491,plain,
op(inv(e0),e0) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_492,plain,
op(e5,inv(e5)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_493,plain,
op(e4,inv(e4)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_494,plain,
op(e3,inv(e3)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_495,plain,
op(e2,inv(e2)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_496,plain,
op(e1,inv(e1)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_497,plain,
op(e0,inv(e0)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_498,plain,
op(unit,e5) = e5,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_499,plain,
op(unit,e4) = e4,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_500,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_501,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_502,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_503,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_504,plain,
op(e5,unit) = e5,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_505,plain,
op(e4,unit) = e4,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_506,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_507,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_508,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_509,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_510,plain,
inv(e4) != inv(e5),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_511,plain,
inv(e3) != inv(e5),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_512,plain,
inv(e2) != inv(e5),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_513,plain,
inv(e1) != inv(e5),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_514,plain,
inv(e0) != inv(e5),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_515,plain,
inv(e3) != inv(e4),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_516,plain,
inv(e2) != inv(e4),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_517,plain,
inv(e1) != inv(e4),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_518,plain,
inv(e0) != inv(e4),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_519,plain,
inv(e2) != inv(e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_520,plain,
inv(e1) != inv(e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_521,plain,
inv(e0) != inv(e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_522,plain,
inv(e1) != inv(e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_523,plain,
inv(e0) != inv(e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_524,plain,
inv(e0) != inv(e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_525,plain,
( inv(e5) = e4
| inv(e4) != e5 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_526,plain,
( inv(e5) = e3
| inv(e3) != e5 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_527,plain,
( inv(e5) = e2
| inv(e2) != e5 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_528,plain,
( inv(e5) = e1
| inv(e1) != e5 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_529,plain,
( inv(e5) = e0
| inv(e0) != e5 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_530,plain,
( inv(e4) = e5
| inv(e5) != e4 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_531,plain,
( inv(e4) = e3
| inv(e3) != e4 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_532,plain,
( inv(e4) = e2
| inv(e2) != e4 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_533,plain,
( inv(e4) = e1
| inv(e1) != e4 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_534,plain,
( inv(e4) = e0
| inv(e0) != e4 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_535,plain,
( inv(e3) = e5
| inv(e5) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_536,plain,
( inv(e3) = e4
| inv(e4) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_537,plain,
( inv(e3) = e2
| inv(e2) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_538,plain,
( inv(e3) = e1
| inv(e1) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_539,plain,
( inv(e3) = e0
| inv(e0) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_540,plain,
( inv(e2) = e5
| inv(e5) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_541,plain,
( inv(e2) = e4
| inv(e4) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_542,plain,
( inv(e2) = e3
| inv(e3) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_543,plain,
( inv(e2) = e1
| inv(e1) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_544,plain,
( inv(e2) = e0
| inv(e0) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_545,plain,
( inv(e1) = e5
| inv(e5) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_546,plain,
( inv(e1) = e4
| inv(e4) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_547,plain,
( inv(e1) = e3
| inv(e3) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_548,plain,
( inv(e1) = e2
| inv(e2) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_549,plain,
( inv(e1) = e0
| inv(e0) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_550,plain,
( inv(e0) = e5
| inv(e5) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_551,plain,
( inv(e0) = e4
| inv(e4) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_552,plain,
( inv(e0) = e3
| inv(e3) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_553,plain,
( inv(e0) = e2
| inv(e2) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_554,plain,
( inv(e0) = e1
| inv(e1) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_555,plain,
inv(inv(e5)) = e5,
inference(split_conjunct,[status(thm)],[ax7]),
[final] ).
cnf(i_0_556,plain,
inv(inv(e4)) = e4,
inference(split_conjunct,[status(thm)],[ax7]),
[final] ).
cnf(i_0_557,plain,
inv(inv(e3)) = e3,
inference(split_conjunct,[status(thm)],[ax7]),
[final] ).
cnf(i_0_558,plain,
inv(inv(e2)) = e2,
inference(split_conjunct,[status(thm)],[ax7]),
[final] ).
cnf(i_0_559,plain,
inv(inv(e1)) = e1,
inference(split_conjunct,[status(thm)],[ax7]),
[final] ).
cnf(i_0_560,plain,
inv(inv(e0)) = e0,
inference(split_conjunct,[status(thm)],[ax7]),
[final] ).
cnf(i_0_561,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4
| unit = e5 ),
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_562,plain,
inv(unit) = unit,
inference(split_conjunct,[status(thm)],[ax6]),
[final] ).
cnf(i_0_563,plain,
e4 != e5,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_564,plain,
e3 != e5,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_565,plain,
e2 != e5,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_566,plain,
e1 != e5,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_567,plain,
e0 != e5,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_568,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_569,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_570,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_571,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_572,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_573,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_574,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_575,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_576,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_577,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_578,plain,
unit = e0,
inference(split_conjunct,[status(thm)],[ax5]),
[final] ).
cnf(i_0_579,axiom,
X1 = X1 ).
cnf(i_0_580,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_581,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_582,axiom,
( X1 != X2
| op(X1,X3) = op(X2,X3) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| op(X3,X1) = op(X3,X2) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| inv(X1) = inv(X2) ) ).
cnf(i_0_579_001,axiom,
X1 = X1 ).
cnf(i_0_580_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_581_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_582_004,axiom,
( X1 != X2
| op(X1,X3) = op(X2,X3) ) ).
cnf(i_0_583_005,axiom,
( X1 != X2
| op(X3,X1) = op(X3,X2) ) ).
cnf(i_0_584_006,axiom,
( X1 != X2
| inv(X1) = inv(X2) ) ).
cnf(i_0_585,plain,
$false,
inference(scs_inference,[],[i_0_479,i_0_477,i_0_475,i_0_473,i_0_471,i_0_469,i_0_467,i_0_465,i_0_463,i_0_461,i_0_459,i_0_457,i_0_455,i_0_453,i_0_451,i_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG025+1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 10:17:28 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 0.39/1.61 % Version : CSE_E---1.7
% 0.39/1.61 % Problem : theBenchmark.p
% 0.39/1.61 % SZS status Theorem for theBenchmark.p
% 0.39/1.61 % SZS output start CNFRefutation
% See solution above
% 0.39/1.63 % Total time : 1.272s
%------------------------------------------------------------------------------