%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG155+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:06:51 PM UTC 2026
% Result : Unsatisfiable 13.47s 8.58s
% Output : CNFRefutation 13.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
( ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) )
& ( ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 ) )
| ( op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 ) )
| ( op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e2) != e3
| op(e3,e3) = e2 ) )
| ( op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax18,axiom,
~ ( e2 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(ax20,axiom,
~ ( e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(ax24,axiom,
~ ( e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(ax15,axiom,
~ ( e1 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(ax26,axiom,
~ ( e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(ax27,axiom,
~ ( e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(ax19,axiom,
~ ( e2 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(ax16,axiom,
~ ( e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(ax10,axiom,
~ ( e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(ax25,axiom,
~ ( e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(ax21,axiom,
~ ( e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax28,axiom,
~ ( e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax6,axiom,
~ ( e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax22,axiom,
~ ( e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(ax29,axiom,
~ ( e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(ax23,axiom,
~ ( e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(ax8,axiom,
~ ( e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(ax12,axiom,
~ ( e1 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(ax14,axiom,
~ ( e1 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(ax11,axiom,
~ ( e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(ax7,axiom,
~ ( e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(ax13,axiom,
~ ( e1 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(ax9,axiom,
~ ( e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(ax17,axiom,
~ ( e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(c_0_29,plain,
( epred21_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 ) ) ),
introduced(definition) ).
fof(c_0_30,plain,
( epred20_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 ) ) ),
introduced(definition) ).
fof(c_0_31,plain,
( epred22_0
<=> ( ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 ) )
| ( op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 ) ) ) ),
introduced(definition) ).
fof(c_0_32,plain,
( epred21_0
=> ( epred20_0
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_29]),c_0_30]) ).
fof(c_0_33,axiom,
( ( epred21_0
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) )
& ( epred22_0
| ( op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e3,e2) != e3
| op(e3,e3) = e2 ) )
| ( op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ax5,c_0_29]),c_0_31]) ).
fof(c_0_34,plain,
( epred19_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 ) ) ),
introduced(definition) ).
fof(c_0_35,plain,
( ( op(e3,e3) = e3
| op(e3,e3) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) != e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) != e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e1) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e1) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e3) != e1
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e3) != e1
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e3,e3) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) != e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) != e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e1) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e1) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e3) != e1
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e3) != e1
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e3,e3) != e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e3,e3) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) != e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) != e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e3,e3) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e3,e3) != e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e3,e3) != e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) = e3
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e3,e3) != e3
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred20_0
| ~ epred21_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_36,plain,
( ( op(e3,e3) = e3
| epred21_0 )
& ( op(e3,e3) != e3
| epred21_0 )
& ( op(e3,e3) = e3
| epred21_0 )
& ( op(e3,e3) != e3
| epred21_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e0,e2) != e0
| op(e0,e0) = e2
| epred22_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e1,e2) != e1
| op(e1,e1) = e2
| epred22_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred22_0 )
& ( op(e3,op(e3,e0)) = e0
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 )
& ( op(e3,op(e3,e1)) = e1
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 )
& ( op(e3,op(e3,e2)) = e2
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 )
& ( op(e3,op(e3,e3)) = e3
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3
| op(e3,e2) != e3
| op(e3,e3) = e2
| epred22_0 ) ),
inference(distribute,[status(thm)],[c_0_33]) ).
fof(c_0_37,plain,
( epred18_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
introduced(definition) ).
fof(c_0_38,plain,
( epred20_0
=> ( epred19_0
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_30]),c_0_34]) ).
cnf(c_0_39,plain,
( op(e3,e3) = e3
| op(e3,e3) = e3
| op(e3,e3) = e3
| epred20_0
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( epred21_0
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( op(e3,e3) = e3
| epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
( epred19_0
=> ( epred18_0
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_37]) ).
fof(c_0_43,plain,
( ( op(e3,e2) = e3
| op(e3,e2) = e3
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e2) = e3
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e2) = e3
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e3) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) = e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e3
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e2) = e3
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e2) = e3
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e3) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) = e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e3,e3) != e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e3
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e2) = e3
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e2) = e3
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e3) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e3
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e2) = e3
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e2) = e3
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e3,e3) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred19_0
| ~ epred20_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
cnf(c_0_44,plain,
( epred20_0
| op(e3,e3) != e3
| op(e3,e3) != e3
| op(e3,e3) != e3
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( op(e3,e3) = e3
| epred20_0
| ~ epred21_0 ),
inference(cn,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
epred21_0,
inference(csr,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
( ( op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) != e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) != e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) = e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) = e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e1) != e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) != e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) = e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) = e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) = e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) != e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) != e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) = e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) = e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e1) != e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) != e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e3,e3) != e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e1) = e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) = e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) = e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) = e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) != e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) != e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e1) = e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) = e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) = e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) = e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) != e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) != e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) != e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e3,e2) = e3
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e3,e3) != e2
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred18_0
| ~ epred19_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).
cnf(c_0_48,plain,
( op(e3,e2) = e3
| op(e3,e2) = e3
| op(e3,e2) = e3
| epred19_0
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( epred20_0
| op(e3,e3) != e3
| ~ epred21_0 ),
inference(cn,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
( op(e3,e3) = e3
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).
cnf(c_0_51,plain,
( op(e3,e2) = e3
| epred18_0
| op(e3,e3) != e1
| op(e3,e3) != e1
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,plain,
( op(e3,e2) = e3
| epred19_0
| ~ epred20_0 ),
inference(cn,[status(thm)],[c_0_48]) ).
cnf(c_0_53,plain,
epred20_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_46])]),c_0_50]) ).
cnf(c_0_54,plain,
( op(e3,e2) = e3
| epred18_0
| op(e3,e3) != e1
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_51]) ).
cnf(c_0_55,plain,
( op(e3,e2) = e3
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
fof(c_0_56,plain,
( epred17_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_57,plain,
( op(e3,e2) = e3
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred18_0
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( op(e3,e2) = e3
| epred18_0
| op(e3,e3) != e1 ),
inference(csr,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( op(e3,e2) = e3
| op(e3,e3) = e1
| epred18_0
| op(e2,e1) != e2
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
( op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_61,plain,
( epred18_0
=> ( epred17_0
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_37]),c_0_56]) ).
cnf(c_0_62,plain,
( epred19_0
| op(e3,e3) != e2
| op(e3,e3) != e2
| op(e3,e3) != e2
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,plain,
( op(e3,op(e3,e1)) = e1
| op(e2,op(e2,e2)) = e2
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_64,plain,
( op(e3,e2) = e3
| op(e2,e2) = e1
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_57,c_0_55]),c_0_58]) ).
cnf(c_0_65,plain,
( op(e3,e2) = e3
| epred18_0
| op(e2,e1) != e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_59,c_0_55]),c_0_58]) ).
cnf(c_0_66,plain,
( op(e3,e1) = e3
| op(e3,e2) = e3
| epred18_0
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_60]) ).
fof(c_0_67,plain,
( ( op(e3,e1) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e1) = e3
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e1) = e3
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e3) != e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e3) != e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e3) != e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e0) = e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e0) = e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e1) != e0
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e1) != e0
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e3
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e1) = e3
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e1) = e3
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e3) != e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e3) != e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e3) != e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e0) = e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e0) = e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e1) != e0
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e1) != e0
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e3,e3) != e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e3
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e1) = e3
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e1) = e3
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e3) != e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e3) != e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e3) != e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e3
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e1) = e3
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e1) = e3
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e3,e3) != e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e3,e3) != e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e3,e3) != e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e1) = e3
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e3,e3) != e1
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred17_0
| ~ epred18_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
cnf(c_0_68,plain,
( op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| op(e3,e3) != e2
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_69,plain,
( epred19_0
| op(e3,e3) != e2
| ~ epred20_0 ),
inference(cn,[status(thm)],[c_0_62]) ).
cnf(c_0_70,plain,
( op(e3,op(e3,e1)) = e1
| op(e3,e2) = e3
| epred22_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_71,plain,
( op(e3,e2) = e3
| op(e3,e1) = e3
| epred18_0 ),
inference(csr,[status(thm)],[c_0_66,c_0_55]) ).
cnf(c_0_72,plain,
( op(e1,e1) = e1
| epred17_0
| op(e0,e1) != e0
| op(e3,e0) != e3
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,plain,
( op(e1,e1) = e1
| op(e3,e0) = e3
| epred17_0
| op(e0,e1) != e0
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| epred17_0
| op(e3,e0) != e3
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,plain,
( op(e3,e1) = e3
| epred18_0
| op(e3,e3) != e2
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_68]) ).
cnf(c_0_77,plain,
( epred19_0
| op(e3,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_53])]) ).
cnf(c_0_78,plain,
( op(e3,op(e3,e2)) = e2
| op(e3,e3) = e2
| epred22_0
| op(e3,e2) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_79,plain,
( op(e3,e2) = e3
| epred22_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_58]) ).
cnf(c_0_80,plain,
( op(e3,e0) = e3
| epred17_0
| op(e1,e1) != e1
| op(e0,e1) != e0
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
( op(e1,e1) = e1
| epred17_0
| op(e0,e1) != e0
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_82,plain,
( op(e0,e0) = e1
| op(e3,e0) = e3
| epred17_0
| op(e1,e1) != e1
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_83,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_84,plain,
( op(e3,e1) = e3
| epred18_0
| op(e3,e3) != e2 ),
inference(csr,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,plain,
( op(e3,e3) = e2
| epred22_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
( epred17_0
| op(e1,e1) != e1
| op(e0,e1) != e0
| op(e3,e0) != e3
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_87,plain,
( op(e3,e0) = e3
| epred17_0
| op(e0,e1) != e0
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,plain,
( op(e0,e0) = e1
| epred17_0
| op(e1,e1) != e1
| op(e3,e0) != e3
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_89,plain,
( op(e3,e0) = e3
| op(e0,e0) = e1
| epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_91,plain,
( op(e3,e1) = e3
| epred22_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,plain,
( epred17_0
| op(e0,e1) != e0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_86,c_0_87]),c_0_81]) ).
cnf(c_0_93,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_94,plain,
( op(e0,e0) = e1
| epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_88,c_0_89]),c_0_83]) ).
cnf(c_0_95,plain,
( epred22_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_79]) ).
cnf(c_0_96,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0
| epred17_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,plain,
( op(e3,e1) = e3
| op(e3,e1) = e3
| epred17_0
| op(e3,e0) != e3
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_98,plain,
( op(e3,e1) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3
| epred17_0
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_99,plain,
( op(e0,e0) = e1
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_95]) ).
cnf(c_0_101,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_102,plain,
( op(e3,e1) = e3
| epred17_0
| op(e3,e0) != e3
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_97]) ).
cnf(c_0_103,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| epred17_0
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_98]) ).
cnf(c_0_104,plain,
( op(e3,op(e3,e1)) = e1
| op(e0,e0) = e2
| epred22_0
| op(e0,e2) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_105,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| epred22_0
| epred17_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_106,plain,
( op(e3,e1) = e3
| epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
( epred17_0
| op(e3,e3) != e1
| op(e3,e3) != e1
| op(e3,e0) != e3
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_108,plain,
( op(e3,e0) = e3
| epred17_0
| op(e3,e3) != e1
| op(e3,e3) != e1
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_109,plain,
( op(e3,op(e3,e1)) = e1
| op(e0,e3) = e0
| op(e0,e0) = e2
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
( op(e3,e1) = e3
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_95]) ).
cnf(c_0_111,plain,
( epred17_0
| op(e3,e0) != e3
| op(e3,e3) != e1
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_107]) ).
cnf(c_0_112,plain,
( op(e3,e0) = e3
| epred17_0
| op(e3,e3) != e1
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_108]) ).
cnf(c_0_113,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_114,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_115,plain,
( op(e0,e0) = e2
| op(e0,e3) = e0
| op(e3,e3) = e1
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_117,plain,
( epred17_0
| op(e3,e3) != e1
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_119,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_120,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_122,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_123,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_124,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_125,plain,
( op(e3,e3) = e1
| op(e0,e3) = e0
| epred22_0
| epred17_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_115]),c_0_116]) ).
cnf(c_0_126,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| epred17_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,plain,
( epred22_0
| epred17_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_119,c_0_110]) ).
cnf(c_0_128,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_129,plain,
( op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_99]) ).
cnf(c_0_130,plain,
( epred22_0
| epred17_0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_121,c_0_99]) ).
cnf(c_0_131,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_132,plain,
( epred22_0
| epred17_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_122,c_0_110]) ).
cnf(c_0_133,plain,
( epred22_0
| epred17_0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_123,c_0_99]) ).
cnf(c_0_134,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_135,plain,
( op(e3,op(e3,e3)) = e3
| op(e0,e0) = e2
| epred22_0
| op(e0,e2) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_136,plain,
( op(e3,e3) = e1
| epred22_0
| epred17_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_137,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| epred22_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_95]),c_0_127]) ).
cnf(c_0_138,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| epred22_0
| epred17_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_139,plain,
( op(e3,e0) = e2
| op(e3,e0) = e0
| epred22_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_140,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_141,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_142,plain,
( op(e3,op(e3,e3)) = e3
| op(e0,e3) = e0
| op(e0,e0) = e2
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_105]) ).
cnf(c_0_143,plain,
( op(e3,e3) = e2
| epred22_0
| epred17_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_101]) ).
cnf(c_0_144,plain,
( epred22_0
| epred17_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_90,c_0_110]) ).
fof(c_0_145,plain,
( e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax18]) ).
cnf(c_0_146,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_147,plain,
( op(e3,e0) = e2
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,plain,
( op(e2,e0) = e2
| op(e2,e0) = e3
| epred22_0
| epred17_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_149,plain,
( op(e0,e0) = e2
| op(e0,e3) = e0
| epred22_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_150,plain,
( e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_151,plain,
( op(e1,e0) = e3
| op(e3,e0) = e2
| epred22_0
| epred17_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_152,plain,
( op(e3,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e2
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_139]) ).
fof(c_0_153,plain,
( epred16_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_154,plain,
( op(e0,e0) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0
| op(e0,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_155,plain,
( op(e0,e3) = e0
| epred22_0
| epred17_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_149]),c_0_116]) ).
cnf(c_0_156,plain,
( epred22_0
| epred17_0
| op(op(e1,e0),op(e1,e0)) != e2
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_150,c_0_99]) ).
cnf(c_0_157,plain,
( op(e2,e0) = e3
| op(e3,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_158,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_159,plain,
( epred17_0
=> ( epred16_0
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_56]),c_0_153]) ).
cnf(c_0_160,plain,
( op(e2,op(e2,e0)) = e0
| op(e0,e0) = e3
| epred22_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_161,plain,
( op(e3,e0) = e2
| op(e2,e0) = e3
| epred22_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_143]) ).
cnf(c_0_162,plain,
( epred22_0
| epred17_0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_158,c_0_155]) ).
fof(c_0_163,plain,
( ( op(e3,e0) = e3
| op(e3,e0) = e3
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e0) = e3
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e0) = e3
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e3) != e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e3) != e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e3) != e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e1) = e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e1) = e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e0) != e1
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e0) != e1
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e3
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e0) = e3
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e0) = e3
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e3) != e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e3) != e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e3) != e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e1) = e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e1) = e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e0) != e1
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e0) != e1
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e3,e3) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e3
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e0) = e3
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e0) = e3
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e3) != e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e3) != e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e3) != e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e1) = e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e0) != e1
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e3
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e0) = e3
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e0) = e3
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e3,e3) != e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e3,e3) != e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e3,e3) != e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e1) = e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e0) = e3
| op(e1,e0) != e1
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e3,e3) != e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) != e0
| epred16_0
| ~ epred17_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_159])]) ).
cnf(c_0_164,plain,
( op(e3,e0) = e2
| op(e0,e0) = e3
| epred22_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).
cnf(c_0_165,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_166,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| epred16_0
| op(e0,e0) != e0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_167,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| epred16_0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_168,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_169,plain,
( op(e3,e0) = e2
| epred22_0
| epred17_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_164]),c_0_165]) ).
cnf(c_0_170,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| epred16_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_171,plain,
( epred22_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_143]) ).
cnf(c_0_172,plain,
( op(e2,e2) = e0
| epred16_0
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_173,plain,
( op(e2,e2) = e0
| op(e0,e0) = e0
| epred16_0
| op(e1,e0) != e1
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_174,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_175,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,plain,
( op(e2,e2) = e0
| epred16_0
| op(e1,e0) != e1
| ~ epred17_0 ),
inference(csr,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_177,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_178,plain,
( op(e2,e2) = e0
| epred22_0
| epred16_0
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_179,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_180,plain,
( op(e3,e0) = e3
| op(e3,e0) = e3
| op(e3,e0) = e3
| epred16_0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_181,plain,
( op(e2,e2) = e0
| epred22_0
| epred16_0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_176,c_0_171]) ).
cnf(c_0_182,plain,
( op(e2,e2) = e0
| epred22_0
| epred16_0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_177,c_0_175]) ).
cnf(c_0_183,plain,
( op(e3,op(e3,e0)) = e0
| op(e0,e0) = e2
| epred22_0
| op(e0,e2) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_184,plain,
( op(e3,e2) = e0
| op(e0,e2) = e0
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_185,plain,
( op(e3,e0) = e3
| epred16_0
| ~ epred17_0 ),
inference(cn,[status(thm)],[c_0_180]) ).
cnf(c_0_186,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_114]),c_0_182]) ).
cnf(c_0_187,plain,
( op(e3,op(e3,e0)) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e0,e0) = e2
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_188,plain,
( op(e3,e0) = e3
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_171]) ).
cnf(c_0_189,plain,
( op(e2,e2) = e0
| op(e1,e0) = e3
| epred22_0
| epred16_0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_113,c_0_186]) ).
cnf(c_0_190,plain,
( op(e0,e0) = e2
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_191,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_192,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e1,e0) = e3
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_193,plain,
( op(e3,op(e3,e0)) = e0
| op(e1,e1) = e2
| epred22_0
| op(e1,e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_194,plain,
( op(e2,e2) = e0
| op(e1,e3) = e1
| op(e1,e2) = e1
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_175]),c_0_101]),c_0_181]) ).
cnf(c_0_195,plain,
( op(e1,e1) = e0
| epred16_0
| op(e2,e0) != e2
| op(e0,e0) != e0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_196,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| epred16_0
| op(e2,e0) != e2
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_197,plain,
( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e2)) = e2
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_198,plain,
( op(e2,e2) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_192]),c_0_188]) ).
cnf(c_0_199,plain,
( op(e3,op(e3,e0)) = e0
| op(e1,e3) = e1
| op(e2,e2) = e0
| op(e1,e1) = e2
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_200,plain,
( op(e1,e1) = e0
| epred16_0
| op(e2,e0) != e2
| ~ epred17_0 ),
inference(csr,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_201,plain,
( op(e3,op(e3,e0)) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e2,e0) = e2
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_202,plain,
( op(e1,e1) = e2
| op(e2,e2) = e0
| op(e1,e3) = e1
| op(e3,e3) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_188]) ).
cnf(c_0_203,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_204,plain,
( op(e1,e1) = e0
| epred22_0
| epred16_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_200,c_0_171]) ).
cnf(c_0_205,plain,
( op(e2,e0) = e2
| op(e3,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_188]) ).
cnf(c_0_206,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_207,plain,
( op(e3,e3) = e0
| op(e1,e3) = e1
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_202]),c_0_203]) ).
cnf(c_0_208,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_209,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e1,e1) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_210,plain,
( op(e2,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred16_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_211,plain,
( epred22_0
| epred16_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_168,c_0_188]) ).
cnf(c_0_212,plain,
( op(e3,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred16_0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_213,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_214,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_215,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_118]),c_0_101]),c_0_211]) ).
cnf(c_0_216,plain,
( op(e3,e0) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_217,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_218,plain,
( epred16_0
| op(e3,e3) != e0
| op(e3,e3) != e0
| op(e3,e3) != e0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_219,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| epred22_0
| epred16_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_220,plain,
( op(e3,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_216]),c_0_217]) ).
cnf(c_0_221,plain,
( epred16_0
| op(e3,e3) != e0
| ~ epred17_0 ),
inference(cn,[status(thm)],[c_0_218]) ).
cnf(c_0_222,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_223,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_224,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e0,e0) = e2
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_184]) ).
cnf(c_0_225,plain,
( op(e3,e3) = e2
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_171]) ).
cnf(c_0_226,plain,
( epred22_0
| epred16_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_223,c_0_188]) ).
cnf(c_0_227,plain,
( op(e0,e0) = e2
| op(e3,e2) = e0
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).
cnf(c_0_228,plain,
( op(e3,e2) = e0
| op(e1,e0) = e3
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_227]) ).
cnf(c_0_229,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_230,plain,
( op(e2,e2) = e0
| op(e3,e2) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_228]),c_0_188]) ).
cnf(c_0_231,plain,
( op(e0,e0) = e0
| epred16_0
| op(e2,e0) != e2
| op(e1,e0) != e1
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_232,plain,
( epred16_0
| op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_233,plain,
( op(e3,op(e3,e3)) = e3
| op(e3,e2) = e0
| op(e2,e0) = e2
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_234,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_235,plain,
( epred16_0
| op(e1,e0) != e1
| op(e2,e0) != e2
| ~ epred17_0 ),
inference(csr,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_236,plain,
( op(e2,e0) = e2
| op(e3,e2) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_225]),c_0_226]) ).
cnf(c_0_237,plain,
( op(e2,e2) = e0
| epred22_0
| epred16_0
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_234,c_0_175]) ).
cnf(c_0_238,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_239,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| epred16_0
| op(e2,e0) != e2
| ~ epred17_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_114]) ).
cnf(c_0_240,plain,
( op(e3,e2) = e0
| op(e1,e1) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_236]) ).
cnf(c_0_241,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_93]) ).
cnf(c_0_242,plain,
( op(e2,e2) = e0
| epred22_0
| epred16_0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_175]) ).
cnf(c_0_243,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_244,plain,
( op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred16_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_239,c_0_171]) ).
cnf(c_0_245,plain,
( op(e3,e2) = e0
| epred22_0
| epred16_0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_177,c_0_240]) ).
cnf(c_0_246,plain,
( op(e3,op(e3,e3)) = e3
| op(e1,e1) = e2
| epred22_0
| op(e1,e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_247,plain,
( op(e2,e2) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| epred22_0
| epred16_0
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_123,c_0_241]) ).
cnf(c_0_248,plain,
( op(e2,e3) = e0
| op(e2,e0) = e0
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_249,plain,
( op(e3,e2) = e0
| op(e1,e0) = e3
| op(e1,e0) = e2
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_236]),c_0_245]) ).
cnf(c_0_250,plain,
( op(e3,op(e3,e3)) = e3
| op(e1,e3) = e1
| op(e2,e2) = e0
| op(e1,e1) = e2
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_194]) ).
cnf(c_0_251,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_252,plain,
( op(e2,e3) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_253,plain,
( op(e1,e0) = e3
| op(e3,e2) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_249]),c_0_236]) ).
cnf(c_0_254,plain,
( op(e1,e1) = e2
| op(e2,e2) = e0
| op(e1,e3) = e1
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_225]),c_0_226]) ).
cnf(c_0_255,plain,
( op(e2,e2) = e0
| op(e0,e3) = e0
| op(e2,e3) = e0
| epred22_0
| epred16_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_256,plain,
( op(e3,e2) = e0
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_253]),c_0_188]) ).
cnf(c_0_257,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_258,plain,
( op(e1,e3) = e1
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_254]),c_0_203]) ).
fof(c_0_259,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax20]) ).
cnf(c_0_260,plain,
( op(e2,e3) = e0
| op(e0,e3) = e0
| op(e2,e2) = e0
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_261,plain,
( op(e2,e2) = e0
| op(e2,e3) = e3
| op(e0,e3) = e3
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_165]),c_0_211]) ).
cnf(c_0_262,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_259]) ).
cnf(c_0_263,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_264,plain,
( op(e2,e3) = e3
| op(e2,e2) = e0
| op(e2,e3) = e0
| epred22_0
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_217]) ).
cnf(c_0_265,plain,
( op(e2,e2) = e0
| epred22_0
| epred16_0
| op(op(e0,e1),op(e0,e1)) != e2
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_262,c_0_175]) ).
cnf(c_0_266,plain,
( op(e2,e2) = e0
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| epred22_0
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_175]),c_0_217]) ).
cnf(c_0_267,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_268,plain,
( op(e2,e3) = e0
| op(e2,e3) = e3
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_264]),c_0_256]) ).
cnf(c_0_269,plain,
( op(e2,e1) = e3
| op(e3,e1) = e3
| op(e2,e2) = e0
| epred22_0
| epred16_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_270,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,e3) = e3
| op(e2,e0) = e3
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
fof(c_0_271,plain,
( epred15_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_272,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_273,plain,
( op(e2,e2) = e0
| op(e3,e1) = e3
| op(e2,e1) = e3
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_269,c_0_225]) ).
cnf(c_0_274,plain,
( op(e2,e0) = e3
| op(e2,e3) = e3
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_225]),c_0_226]) ).
fof(c_0_275,plain,
( epred16_0
=> ( epred15_0
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_271]) ).
cnf(c_0_276,plain,
( op(e3,e1) = e3
| op(e2,e2) = e0
| epred22_0
| epred16_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_277,plain,
( op(e2,e3) = e3
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_274]),c_0_188]) ).
fof(c_0_278,plain,
( epred14_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 ) ) ),
introduced(definition) ).
fof(c_0_279,plain,
( ( op(e2,e3) = e2
| op(e2,e3) = e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) != e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e3) != e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e3) = e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) != e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e3) != e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e2,e2) != e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e3) = e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) != e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e3) != e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) != e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e2,e3) = e2
| op(e2,e3) != e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| epred15_0
| ~ epred16_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_275])]) ).
cnf(c_0_280,plain,
( op(e2,e2) = e0
| op(e3,e1) = e3
| epred22_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
fof(c_0_281,plain,
( epred15_0
=> ( epred14_0
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_271]),c_0_278]) ).
cnf(c_0_282,plain,
( op(e2,e3) = e2
| op(e2,e3) = e2
| op(e2,e3) = e2
| epred15_0
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_283,plain,
( op(e3,e1) = e3
| epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_280]),c_0_256]) ).
fof(c_0_284,plain,
( ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) != e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e2) != e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e2,e2) != e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e3) = e2
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e2,e2) != e3
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e0) = e3
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 )
& ( op(e0,e3) != e0
| op(e3,e2) != e3
| op(e2,e2) != e2
| epred14_0
| ~ epred15_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_281])]) ).
cnf(c_0_285,plain,
( op(e2,e3) = e2
| epred15_0
| ~ epred16_0 ),
inference(cn,[status(thm)],[c_0_282]) ).
cnf(c_0_286,plain,
( epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_283]),c_0_188]) ).
fof(c_0_287,plain,
( epred13_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_288,plain,
( op(e2,e3) = e2
| epred14_0
| op(e2,e2) != e2
| op(e2,e2) != e2
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_289,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_290,plain,
( epred15_0
| op(e2,e2) != e3
| op(e2,e2) != e3
| op(e2,e2) != e3
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_291,plain,
( op(e2,e2) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0
| op(e2,e3) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_292,plain,
( op(e2,e3) = e2
| epred22_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
fof(c_0_293,plain,
( epred14_0
=> ( epred13_0
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_278]),c_0_287]) ).
cnf(c_0_294,plain,
( op(e2,e3) = e2
| epred14_0
| op(e2,e2) != e2
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_288]) ).
cnf(c_0_295,plain,
( op(e2,e2) = e2
| op(e2,e3) = e2
| epred14_0
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_289]) ).
cnf(c_0_296,plain,
( epred15_0
| op(e2,e2) != e3
| ~ epred16_0 ),
inference(cn,[status(thm)],[c_0_290]) ).
cnf(c_0_297,plain,
( op(e2,e2) = e3
| epred22_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
fof(c_0_298,plain,
( ( op(e2,e2) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) != e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e0) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e2) != e0
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e2) != e0
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e2) != e0
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e2) != e0
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) != e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e0) = e2
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e2) != e0
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e2) != e0
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e2) != e0
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e2) != e0
| op(e2,e2) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) != e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e0) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e2) != e0
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e2) != e0
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e2) != e0
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e2) != e0
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e2,e2) != e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e0) = e2
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) = e2
| op(e0,e2) != e0
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e2) != e2
| op(e0,e2) != e0
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e1) = e2
| op(e0,e2) != e0
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 )
& ( op(e1,e2) != e1
| op(e0,e2) != e0
| op(e3,e1) != e3
| epred13_0
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_293])]) ).
cnf(c_0_299,plain,
( epred14_0
| op(e2,e2) != e3
| op(e2,e2) != e2
| op(e2,e2) != e2
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_300,plain,
( op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| op(e2,e2) != e3
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_301,plain,
( op(e2,e3) = e2
| epred14_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_302,plain,
( epred22_0
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_286]) ).
cnf(c_0_303,plain,
( op(e2,e1) = e2
| epred13_0
| op(e2,e2) != e2
| op(e2,e2) != e2
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_304,plain,
( op(e2,e2) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| epred13_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_305,plain,
( epred14_0
| op(e2,e2) != e2
| op(e2,e2) != e3
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_299]) ).
cnf(c_0_306,plain,
( op(e2,e2) = e2
| epred14_0
| op(e2,e2) != e3
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_300]) ).
cnf(c_0_307,plain,
( op(e2,e3) = e2
| epred22_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
fof(c_0_308,plain,
( epred12_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_309,plain,
( op(e2,e1) = e2
| epred13_0
| op(e2,e2) != e2
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_303]) ).
cnf(c_0_310,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2
| epred13_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_304]) ).
cnf(c_0_311,plain,
( epred14_0
| op(e2,e2) != e3
| ~ epred15_0 ),
inference(csr,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_312,plain,
( op(e2,e2) = e3
| epred22_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_307]) ).
cnf(c_0_313,plain,
( op(e3,e3) = e1
| epred13_0
| op(e2,e2) != e2
| op(e2,e2) != e2
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_314,plain,
( op(e2,e2) = e2
| op(e2,e2) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
fof(c_0_315,plain,
( epred13_0
=> ( epred12_0
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_287]),c_0_308]) ).
cnf(c_0_316,plain,
( op(e2,e1) = e2
| epred13_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_317,plain,
( epred22_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_302]) ).
cnf(c_0_318,plain,
( op(e3,e3) = e1
| epred13_0
| op(e2,e2) != e2
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_313]) ).
cnf(c_0_319,plain,
( op(e2,e2) = e2
| op(e3,e3) = e1
| epred13_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_314]) ).
fof(c_0_320,plain,
( ( op(e2,e1) = e2
| op(e2,e1) = e2
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e1) = e2
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e1) = e2
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e2) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) = e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) = e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) = e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) != e1
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e2,e1) = e2
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e1) = e2
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e1) = e2
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e2) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) = e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) = e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) = e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) != e1
| op(e2,e2) != e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e2,e1) = e2
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e1) = e2
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e1) = e2
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e2) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e1) = e2
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e1) = e2
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e2,e2) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e2,e2) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) = e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) = e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) = e2
| op(e1,e1) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 )
& ( op(e2,e1) != e2
| op(e1,e1) != e1
| op(e0,e1) != e0
| epred12_0
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_315])]) ).
cnf(c_0_321,plain,
( epred13_0
| op(e2,e2) != e2
| op(e2,e2) != e2
| op(e2,e2) != e1
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_322,plain,
( op(e2,e2) = e2
| op(e2,e2) = e2
| epred13_0
| op(e2,e2) != e1
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_323,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_324,plain,
( op(e2,e1) = e2
| epred22_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_325,plain,
( op(e3,e3) = e1
| epred13_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_326,plain,
( epred12_0
| op(e2,e2) != e1
| op(e2,e2) != e1
| op(e2,e2) != e1
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_327,plain,
( epred13_0
| op(e2,e2) != e2
| op(e2,e2) != e2
| op(e3,e1) != e3
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_328,plain,
( op(e2,e2) = e2
| op(e2,e2) = e2
| epred13_0
| op(e3,e1) != e3
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_329,plain,
( epred13_0
| op(e2,e2) != e1
| op(e2,e2) != e2
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_321]) ).
cnf(c_0_330,plain,
( op(e2,e2) = e2
| epred13_0
| op(e2,e2) != e1
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_322]) ).
cnf(c_0_331,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,e2) = e1
| epred22_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_332,plain,
( op(e3,e3) = e1
| epred22_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_317]) ).
cnf(c_0_333,plain,
( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_334,plain,
( epred12_0
| op(e2,e2) != e1
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_326]) ).
cnf(c_0_335,plain,
( epred13_0
| op(e2,e2) != e2
| op(e3,e1) != e3
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_327]) ).
cnf(c_0_336,plain,
( op(e2,e2) = e2
| epred13_0
| op(e3,e1) != e3
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_328]) ).
cnf(c_0_337,plain,
( epred13_0
| op(e2,e2) != e1
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_338,plain,
( op(e2,e2) = e1
| op(e3,e1) = e3
| epred22_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_339,plain,
( op(e2,e1) = e2
| op(e2,e1) = e2
| op(e2,e1) = e2
| epred12_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_340,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| epred12_0
| op(e1,e1) != e1
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_341,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| epred12_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_342,plain,
( epred13_0
| op(e3,e1) != e3
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_343,plain,
( op(e3,e1) = e3
| epred22_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_317]) ).
cnf(c_0_344,plain,
( epred12_0
| op(e2,e1) != e2
| op(e1,e1) != e1
| op(e0,e1) != e0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_345,plain,
( op(e2,e1) = e2
| epred12_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_339]) ).
cnf(c_0_346,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_347,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_348,plain,
( op(e0,e0) = e1
| epred12_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_340,c_0_341]),c_0_334]) ).
cnf(c_0_349,plain,
( epred22_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_317]) ).
cnf(c_0_350,plain,
( op(e2,e2) = e1
| op(e1,e1) = e1
| epred12_0
| op(e0,e1) != e0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_351,plain,
( epred12_0
| op(e0,e1) != e0
| op(e1,e1) != e1
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_352,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_353,plain,
( op(e0,e0) = e1
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_354,plain,
( epred12_0
| op(e0,e1) != e0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_350,c_0_334]),c_0_351]) ).
cnf(c_0_355,plain,
( op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_356,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_357,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_349]) ).
cnf(c_0_358,plain,
( op(e2,e1) = e2
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_349]) ).
cnf(c_0_359,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_360,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_361,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_362,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_363,plain,
( op(e0,e1) = e3
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_358]) ).
cnf(c_0_364,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_359]) ).
cnf(c_0_365,plain,
( epred22_0
| epred12_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_360,c_0_358]) ).
cnf(c_0_366,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_367,plain,
( epred22_0
| epred12_0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_123,c_0_353]) ).
cnf(c_0_368,plain,
( epred22_0
| epred12_0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_361,c_0_353]) ).
cnf(c_0_369,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_370,plain,
( epred22_0
| epred12_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_371,plain,
( op(e2,e2) = e0
| op(e2,e2) = e3
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_349]),c_0_365]) ).
cnf(c_0_372,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_358]),c_0_116]),c_0_367]) ).
cnf(c_0_373,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_374,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_375,plain,
( op(e0,e2) = e2
| op(e0,e2) = e0
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).
cnf(c_0_376,plain,
( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e3)) = e3
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_377,plain,
( op(e2,e3) = e1
| epred22_0
| epred12_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_101]),c_0_165]) ).
cnf(c_0_378,plain,
( epred22_0
| epred12_0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_356,c_0_363]) ).
cnf(c_0_379,plain,
( epred22_0
| epred12_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_373,c_0_358]) ).
cnf(c_0_380,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_381,plain,
( op(e0,e2) = e2
| epred22_0
| epred12_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
fof(c_0_382,plain,
( e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax24]) ).
cnf(c_0_383,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_384,plain,
( op(e3,op(e3,e0)) = e0
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]) ).
cnf(c_0_385,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_386,plain,
( op(e2,e2) = e3
| op(e0,e2) = e2
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_381,c_0_371]) ).
cnf(c_0_387,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_388,plain,
( e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_382]) ).
cnf(c_0_389,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e0) = e2
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_238,c_0_383]) ).
fof(c_0_390,plain,
( e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax15]) ).
cnf(c_0_391,plain,
( op(e2,e2) = e3
| epred22_0
| epred12_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_214,c_0_371]) ).
cnf(c_0_392,plain,
( op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e2) = e0
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_393,plain,
( op(e2,e2) = e3
| epred22_0
| epred12_0
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_251,c_0_386]) ).
cnf(c_0_394,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_356,c_0_387]) ).
cnf(c_0_395,plain,
( epred22_0
| epred12_0
| op(op(e1,e0),op(e1,e0)) != e3
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_388,c_0_353]) ).
cnf(c_0_396,plain,
( op(e1,e0) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_358]) ).
cnf(c_0_397,plain,
( e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_390]) ).
cnf(c_0_398,plain,
( op(e3,e3) = e2
| op(e2,e2) = e3
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_393]) ).
cnf(c_0_399,plain,
( op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_358]) ).
cnf(c_0_400,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| epred22_0
| epred12_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_401,plain,
( op(e3,e3) = e2
| epred22_0
| epred12_0
| op(op(e3,e2),op(e3,e2)) != e1
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_402,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| epred22_0
| epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_399]),c_0_116]) ).
fof(c_0_403,plain,
( epred11_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_404,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_405,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_406,plain,
( op(e3,e3) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_400,c_0_398]) ).
cnf(c_0_407,plain,
( op(e3,e2) = e2
| op(e3,e3) = e2
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_392]),c_0_353]) ).
cnf(c_0_408,plain,
( op(e0,e3) = e2
| epred22_0
| epred12_0
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_251,c_0_402]) ).
fof(c_0_409,plain,
( epred12_0
=> ( epred11_0
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_308]),c_0_403]) ).
cnf(c_0_410,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(op(e0,e1),op(e0,e1)) != e2
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_262,c_0_404]) ).
cnf(c_0_411,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_412,plain,
( op(e1,e3) = e2
| op(e3,e3) = e2
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_407]) ).
cnf(c_0_413,plain,
( op(e3,e3) = e2
| op(e0,e3) = e2
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_408,c_0_407]) ).
fof(c_0_414,plain,
( ( op(e2,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) = e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) = e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) != e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) != e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) = e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) = e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e0) != e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e0) = e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) = e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) = e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) != e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) != e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) = e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) = e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e0) != e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e2,e2) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e0) = e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) = e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) = e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) != e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) != e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) = e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e0) != e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) = e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) = e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) != e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) != e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) != e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e2) = e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e2) = e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e2,e0) = e2
| op(e2,e0) != e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e1,e0) != e1
| epred11_0
| ~ epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_409])]) ).
cnf(c_0_415,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| epred22_0
| epred12_0
| op(e3,e3) != e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_363]),c_0_217]) ).
cnf(c_0_416,plain,
( op(e3,e3) = e2
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_413]) ).
cnf(c_0_417,plain,
( epred11_0
| op(e2,e2) != e0
| op(e2,e2) != e0
| op(e2,e2) != e0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_418,plain,
( op(e3,op(e3,e1)) = e1
| op(e2,op(e2,e3)) = e3
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_419,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_420,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_421,plain,
( epred11_0
| op(e2,e2) != e0
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_417]) ).
cnf(c_0_422,plain,
( op(e3,op(e3,e1)) = e1
| epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_377]),c_0_378]) ).
cnf(c_0_423,plain,
( op(e3,e1) = e0
| epred22_0
| epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_419]),c_0_203]) ).
cnf(c_0_424,plain,
( epred22_0
| epred12_0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_121,c_0_353]) ).
cnf(c_0_425,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| epred11_0
| op(e1,e0) != e1
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_426,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| epred11_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_427,plain,
( epred22_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_424]) ).
cnf(c_0_428,plain,
( op(e3,e3) = e0
| epred11_0
| op(e1,e0) != e1
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_425,c_0_421]) ).
cnf(c_0_429,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_430,plain,
( op(e2,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e2
| epred11_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_431,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_428,c_0_427]) ).
cnf(c_0_432,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_177,c_0_429]) ).
cnf(c_0_433,plain,
( op(e2,e0) = e2
| epred11_0
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_430]) ).
cnf(c_0_434,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_114]),c_0_432]) ).
cnf(c_0_435,plain,
( op(e2,e0) = e2
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_427]) ).
cnf(c_0_436,plain,
( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e0)) = e0
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_437,plain,
( op(e3,e3) = e0
| op(e1,e0) = e3
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_434]),c_0_435]) ).
cnf(c_0_438,plain,
( op(e3,e3) = e0
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e0) = e2
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_429]),c_0_203]) ).
cnf(c_0_439,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_440,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_429]) ).
cnf(c_0_441,plain,
( op(e3,op(e3,e0)) = e0
| op(e2,e2) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_436,c_0_435]) ).
cnf(c_0_442,plain,
( epred22_0
| epred11_0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_140,c_0_435]) ).
cnf(c_0_443,plain,
( op(e1,e2) = e2
| op(e1,e3) = e2
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_439]) ).
cnf(c_0_444,plain,
( op(e3,e3) = e0
| op(e1,e3) = e1
| op(e1,e2) = e1
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_429]),c_0_101]),c_0_431]) ).
cnf(c_0_445,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_243]) ).
cnf(c_0_446,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_234,c_0_429]) ).
cnf(c_0_447,plain,
( op(e3,e0) = e3
| op(e3,e0) = e0
| op(e2,e2) = e0
| op(e3,e1) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_131]),c_0_442]) ).
cnf(c_0_448,plain,
( op(e1,e1) = e3
| op(e2,op(e2,e3)) = e3
| epred22_0
| op(e1,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_449,plain,
( op(e1,e3) = e1
| op(e3,e3) = e0
| op(e1,e3) = e2
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_116]) ).
cnf(c_0_450,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_445]),c_0_203]) ).
cnf(c_0_451,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_452,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_93]) ).
cnf(c_0_453,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_208,c_0_429]) ).
cnf(c_0_454,plain,
( op(e3,e1) = e0
| op(e3,e0) = e0
| op(e3,e0) = e3
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_447]),c_0_427]) ).
cnf(c_0_455,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_128,c_0_437]) ).
cnf(c_0_456,plain,
( op(e2,op(e2,e3)) = e3
| op(e1,e3) = e2
| op(e3,e3) = e0
| op(e1,e1) = e3
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_457,plain,
( op(e2,e3) = e0
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_450]),c_0_427]) ).
cnf(c_0_458,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_146,c_0_437]) ).
fof(c_0_459,plain,
( e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax26]) ).
cnf(c_0_460,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_451,c_0_437]) ).
cnf(c_0_461,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_462,plain,
( op(e3,e3) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| epred22_0
| epred11_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_121,c_0_452]) ).
cnf(c_0_463,plain,
( op(e3,e0) = e0
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_454]),c_0_455]) ).
cnf(c_0_464,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_465,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_466,plain,
( op(e1,e1) = e3
| op(e3,e3) = e0
| op(e1,e3) = e2
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_458]) ).
cnf(c_0_467,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_468,plain,
( e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_459]) ).
cnf(c_0_469,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_470,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_471,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_462,c_0_463]) ).
cnf(c_0_472,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_174,c_0_429]) ).
cnf(c_0_473,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e0,e2) = e2
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_474,plain,
( op(e1,e3) = e2
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_466]),c_0_217]) ).
cnf(c_0_475,plain,
( epred22_0
| epred11_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_467,c_0_435]) ).
cnf(c_0_476,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0
| op(op(e0,e1),op(e0,e1)) != e3
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_468,c_0_429]) ).
cnf(c_0_477,plain,
( op(e3,e3) = e0
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_429]),c_0_203]) ).
cnf(c_0_478,plain,
( op(e0,e3) = e0
| op(e3,e3) = e0
| op(e2,e2) = e3
| op(e3,e2) = e3
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_471]),c_0_217]) ).
cnf(c_0_479,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_472,c_0_179]) ).
cnf(c_0_480,plain,
( op(e3,e3) = e0
| op(e0,e2) = e2
| op(e3,e2) = e2
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_475]) ).
cnf(c_0_481,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2
| op(e3,e3) = e0
| epred22_0
| epred11_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_476,c_0_477]) ).
cnf(c_0_482,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_478]),c_0_457]) ).
cnf(c_0_483,plain,
( op(e3,op(e3,e2)) = e2
| op(e2,op(e2,e3)) = e3
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_484,plain,
( op(e3,e2) = e2
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_203]) ).
cnf(c_0_485,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_486,plain,
( op(e3,e2) = e3
| op(e3,e3) = e0
| op(e3,e1) = e2
| op(e2,e1) = e2
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_487,plain,
( op(e3,op(e3,e2)) = e2
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_457]),c_0_458]) ).
cnf(c_0_488,plain,
( op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e2) = e2
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_484]),c_0_427]) ).
cnf(c_0_489,plain,
( op(e3,e1) = e2
| op(e3,e3) = e0
| op(e3,e2) = e3
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_435]) ).
cnf(c_0_490,plain,
( op(e3,e2) = e2
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_442]) ).
cnf(c_0_491,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_492,plain,
( op(e3,e2) = e3
| op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_489]),c_0_490]) ).
cnf(c_0_493,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| epred11_0
| op(e3,e0) != e3
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_494,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,e2) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_491,c_0_435]) ).
cnf(c_0_495,plain,
( op(e3,e3) = e0
| epred22_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_492]),c_0_439]) ).
cnf(c_0_496,plain,
( epred11_0
| op(e3,e0) != e3
| op(e2,e0) != e2
| op(e1,e0) != e1
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_497,plain,
( op(e1,e1) = e0
| epred11_0
| op(e3,e0) != e3
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_493,c_0_421]) ).
cnf(c_0_498,plain,
( op(e2,e2) = e0
| op(e3,e0) = e3
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
fof(c_0_499,plain,
( epred10_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 ) ) ),
introduced(definition) ).
cnf(c_0_500,plain,
( epred11_0
| op(e1,e0) != e1
| op(e3,e0) != e3
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_496,c_0_433]) ).
cnf(c_0_501,plain,
( op(e1,e1) = e0
| epred22_0
| epred11_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_497,c_0_427]) ).
cnf(c_0_502,plain,
( op(e3,e0) = e3
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_498]),c_0_427]) ).
fof(c_0_503,plain,
( epred11_0
=> ( epred10_0
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_403]),c_0_499]) ).
cnf(c_0_504,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| epred11_0
| op(e3,e0) != e3
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_500,c_0_114]) ).
cnf(c_0_505,plain,
( op(e1,e1) = e0
| epred22_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_501,c_0_502]) ).
fof(c_0_506,plain,
( ( op(e2,e0) = e2
| op(e1,e3) = e1
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e3) = e1
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e3) = e1
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e3) = e1
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e1,e1) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e1) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e1) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e1) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) = e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) = e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) = e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) = e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) != e3
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e1,e3) = e1
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e3) = e1
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e3) = e1
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e3) = e1
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e1,e1) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e1) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e1) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e1) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) = e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) = e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) = e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) = e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) != e3
| op(e1,e1) != e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e1,e3) = e1
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e3) = e1
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e3) = e1
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e3) = e1
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e1,e1) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e1) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e1) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e1) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) = e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) = e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) = e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) = e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) != e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e1,e3) = e1
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e3) = e1
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e3) = e1
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e3) = e1
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e1,e1) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e1,e1) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e1,e1) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e1,e1) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) = e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) = e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) = e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) = e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e2,e0) = e2
| op(e3,e3) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e2,e2) != e0
| op(e3,e3) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) = e0
| op(e3,e3) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e0,e0) != e0
| op(e3,e3) != e3
| op(e2,e3) != e2
| epred10_0
| ~ epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_503])]) ).
cnf(c_0_507,plain,
( op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred11_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_504,c_0_427]) ).
cnf(c_0_508,plain,
( epred22_0
| epred11_0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_177,c_0_505]) ).
cnf(c_0_509,plain,
( op(e1,e3) = e1
| op(e1,e3) = e1
| epred10_0
| op(e0,e0) != e0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_510,plain,
( op(e0,e0) = e0
| op(e1,e3) = e1
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_511,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_502]),c_0_508]) ).
cnf(c_0_512,plain,
( op(e0,e0) = e0
| op(e2,e2) = e3
| epred10_0
| op(e3,e3) != e3
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_513,plain,
( op(e0,e0) = e0
| op(e3,e3) = e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_514,plain,
( op(e1,e3) = e1
| epred10_0
| op(e0,e0) != e0
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_509]) ).
cnf(c_0_515,plain,
( op(e0,e0) = e0
| op(e1,e3) = e1
| epred10_0
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_510]) ).
cnf(c_0_516,plain,
( op(e1,e0) = e3
| epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_511]),c_0_435]) ).
cnf(c_0_517,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| epred10_0
| op(e0,e0) != e0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_518,plain,
( op(e2,e2) = e3
| op(e0,e0) = e0
| epred10_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_519,plain,
( op(e1,e3) = e1
| epred10_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_520,plain,
( epred22_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_516]),c_0_502]) ).
cnf(c_0_521,plain,
( op(e2,e2) = e3
| epred10_0
| op(e0,e0) != e0
| op(e3,e3) != e3
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_522,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| epred10_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_517,c_0_518]) ).
fof(c_0_523,plain,
( epred9_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_524,plain,
( op(e0,e0) = e0
| epred10_0
| op(e3,e3) != e3
| op(e2,e3) != e2
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_525,plain,
( op(e0,e0) = e0
| op(e3,e3) = e3
| epred10_0
| op(e2,e3) != e2
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_526,plain,
( epred10_0
| op(e0,e0) != e0
| op(e1,e1) != e3
| op(e1,e1) != e3
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_527,plain,
( op(e0,e0) = e0
| epred10_0
| op(e1,e1) != e3
| op(e1,e1) != e3
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_528,plain,
( op(e1,e1) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0
| op(e1,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_529,plain,
( op(e1,e3) = e1
| epred22_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_519,c_0_520]) ).
cnf(c_0_530,plain,
( op(e2,e2) = e3
| epred10_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_521,c_0_522]),c_0_518]) ).
fof(c_0_531,plain,
( epred10_0
=> ( epred9_0
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_499]),c_0_523]) ).
cnf(c_0_532,plain,
( op(e3,e3) = e3
| epred10_0
| op(e0,e0) != e0
| op(e2,e3) != e2
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_533,plain,
( op(e0,e0) = e0
| epred10_0
| op(e2,e3) != e2
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_524,c_0_525]) ).
cnf(c_0_534,plain,
( epred10_0
| op(e0,e0) != e0
| op(e1,e1) != e3
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_526]) ).
cnf(c_0_535,plain,
( op(e0,e0) = e0
| epred10_0
| op(e1,e1) != e3
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_527]) ).
cnf(c_0_536,plain,
( op(e2,op(e2,e2)) = e2
| op(e1,e1) = e3
| epred22_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_528,c_0_529]) ).
cnf(c_0_537,plain,
( op(e2,e2) = e3
| epred22_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_530,c_0_520]) ).
fof(c_0_538,plain,
( ( op(e1,e3) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e3) = e1
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e1) != e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e1) != e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e0) = e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e0) = e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e3) != e0
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e3) != e0
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e3) != e0
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e3) != e0
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e1,e3) = e1
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e3) = e1
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e3) = e1
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e1) != e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e1) != e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e0) = e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e0) = e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e3) != e0
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e3) != e0
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e3) != e0
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e3) != e0
| op(e1,e1) != e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e1,e3) = e1
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e3) = e1
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e3) = e1
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e1) != e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e1) != e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e0) = e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e0) = e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e3) != e0
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e3) != e0
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e3) != e0
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e3) != e0
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e1,e3) = e1
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e3) = e1
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e3) = e1
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e1,e1) != e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e1,e1) != e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e0) = e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e0) = e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) = e1
| op(e0,e3) != e0
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) != e3
| op(e0,e3) != e0
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e1) = e3
| op(e0,e3) != e0
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e1,e3) != e1
| op(e0,e3) != e0
| op(e3,e2) != e3
| epred9_0
| ~ epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_531])]) ).
cnf(c_0_539,plain,
( epred10_0
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e2,e3) != e2
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_540,plain,
( op(e3,e3) = e3
| epred10_0
| op(e2,e3) != e2
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_541,plain,
( epred10_0
| op(e1,e1) != e3
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_542,plain,
( op(e1,e1) = e3
| op(e2,e3) = e2
| epred22_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_536,c_0_537]) ).
cnf(c_0_543,plain,
( op(e3,e3) = e2
| epred9_0
| op(e1,e1) != e3
| op(e1,e1) != e3
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_544,plain,
( op(e1,e3) = e1
| op(e1,e3) = e1
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_545,plain,
( epred10_0
| op(e2,e3) != e2
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_539,c_0_540]),c_0_533]) ).
cnf(c_0_546,plain,
( op(e2,e3) = e2
| epred22_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_542]),c_0_520]) ).
cnf(c_0_547,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_548,plain,
( op(e3,e3) = e2
| epred9_0
| op(e1,e1) != e3
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_543]) ).
cnf(c_0_549,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_550,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_551,plain,
( op(e1,e3) = e1
| op(e3,e3) = e2
| epred9_0
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_544]) ).
cnf(c_0_552,plain,
( epred22_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_520]) ).
cnf(c_0_553,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_554,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_555,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3
| epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_556,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_549,c_0_550]) ).
cnf(c_0_557,plain,
( op(e3,e3) = e2
| op(e1,e3) = e1
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_551,c_0_552]) ).
cnf(c_0_558,plain,
( op(e1,e2) = e1
| epred9_0
| op(e1,e1) != e3
| op(e1,e1) != e3
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_559,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_560,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_548,c_0_552]) ).
cnf(c_0_561,plain,
( op(e1,e1) = e3
| op(e2,op(e2,e0)) = e0
| epred22_0
| op(e1,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_562,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_555,c_0_552]) ).
cnf(c_0_563,plain,
( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_556,c_0_557]) ).
cnf(c_0_564,plain,
( op(e1,e1) = e3
| op(e3,e3) = e2
| epred9_0
| op(e0,e3) != e0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_565,plain,
( op(e1,e2) = e1
| epred9_0
| op(e1,e1) != e3
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_558]) ).
cnf(c_0_566,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_567,plain,
( op(e3,e3) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_557]),c_0_560]) ).
cnf(c_0_568,plain,
( op(e2,op(e2,e0)) = e0
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_557]),c_0_560]) ).
cnf(c_0_569,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_165]) ).
cnf(c_0_570,plain,
( op(e3,e3) = e2
| epred9_0
| op(e0,e3) != e0
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_564,c_0_548]) ).
cnf(c_0_571,plain,
( op(e1,e2) = e1
| epred22_0
| epred9_0
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_565,c_0_552]) ).
cnf(c_0_572,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_573,plain,
( op(e1,e2) = e1
| op(e0,e0) = e3
| epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_566,c_0_565]) ).
fof(c_0_574,plain,
( e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax27]) ).
cnf(c_0_575,plain,
( op(e1,e1) = e2
| op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_567]) ).
cnf(c_0_576,plain,
( op(e3,e0) = e1
| op(e3,e3) = e2
| op(e2,e1) = e0
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_568,c_0_569]) ).
cnf(c_0_577,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_578,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_570,c_0_552]) ).
cnf(c_0_579,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e1,e2) = e1
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_580,plain,
( op(e1,e2) = e1
| op(e0,e0) = e3
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_573,c_0_552]) ).
cnf(c_0_581,plain,
( op(e1,e3) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| epred9_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
fof(c_0_582,plain,
( e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax19]) ).
cnf(c_0_583,plain,
( e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_574]) ).
cnf(c_0_584,plain,
( op(e3,e0) = e1
| op(e3,e3) = e2
| op(e1,e1) = e2
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_575,c_0_576]) ).
fof(c_0_585,plain,
( e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax16]) ).
cnf(c_0_586,plain,
( op(e2,op(e2,e3)) = e3
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_557]),c_0_560]) ).
cnf(c_0_587,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| op(e2,e3) = e0
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_557]),c_0_101]),c_0_578]) ).
cnf(c_0_588,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_123,c_0_562]) ).
cnf(c_0_589,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_590,plain,
( op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e3) = e3
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_579]),c_0_580]) ).
cnf(c_0_591,plain,
( op(e1,e2) = e1
| op(e1,e3) = e1
| epred9_0
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_581]) ).
cnf(c_0_592,plain,
( e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_582]) ).
cnf(c_0_593,plain,
( op(e3,e3) = e2
| op(e3,e0) = e1
| epred22_0
| epred9_0
| op(op(e2,e1),op(e2,e1)) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_584]),c_0_576]) ).
cnf(c_0_594,plain,
( e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_585]) ).
cnf(c_0_595,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_588]) ).
cnf(c_0_596,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_411,c_0_557]) ).
cnf(c_0_597,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_598,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_589,c_0_562]) ).
cnf(c_0_599,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| epred22_0
| epred9_0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_464,c_0_590]) ).
cnf(c_0_600,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_451,c_0_114]) ).
cnf(c_0_601,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_591,c_0_552]) ).
cnf(c_0_602,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_549,c_0_114]) ).
cnf(c_0_603,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(op(e3,e0),op(e3,e0)) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_592,c_0_562]) ).
cnf(c_0_604,plain,
( op(e3,e0) = e1
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_576]),c_0_562]) ).
cnf(c_0_605,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(op(e0,e3),op(e0,e3)) != e1
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_606,plain,
( op(e0,e3) = e2
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_597]),c_0_598]),c_0_578]) ).
cnf(c_0_607,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_608,plain,
( op(e3,e3) = e2
| op(e1,e2) = e3
| epred22_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_557]),c_0_165]) ).
cnf(c_0_609,plain,
( op(e1,e1) = e2
| op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_177,c_0_567]) ).
cnf(c_0_610,plain,
( op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_601]),c_0_602]) ).
cnf(c_0_611,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_603,c_0_604]) ).
cnf(c_0_612,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_605,c_0_606]) ).
cnf(c_0_613,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_614,plain,
( op(e1,e1) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0
| op(e1,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_615,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_560,c_0_263]) ).
cnf(c_0_616,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_617,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_610]),c_0_611]) ).
cnf(c_0_618,plain,
( op(e2,op(e2,e2)) = e2
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_557]),c_0_560]) ).
cnf(c_0_619,plain,
( op(e2,e2) = e2
| op(e2,e2) = e0
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_359]),c_0_613]) ).
cnf(c_0_620,plain,
( op(e2,op(e2,e1)) = e1
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_557]),c_0_560]) ).
cnf(c_0_621,plain,
( op(e3,e3) = e2
| op(e2,e1) = e3
| op(e3,e1) = e3
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_615]),c_0_562]) ).
cnf(c_0_622,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_616,c_0_557]) ).
cnf(c_0_623,plain,
( epred9_0
| op(e1,e1) != e3
| op(e1,e1) != e3
| op(e1,e1) != e2
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_624,plain,
( op(e1,e3) = e1
| op(e1,e3) = e1
| epred9_0
| op(e1,e1) != e2
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_625,plain,
( op(e3,e3) = e2
| op(e1,e0) = e3
| epred22_0
| epred9_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_146,c_0_617]) ).
cnf(c_0_626,plain,
( op(e2,e2) = e2
| op(e3,e3) = e2
| op(e2,e0) = e2
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_619]) ).
cnf(c_0_627,plain,
( op(e3,e1) = e3
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_622]) ).
cnf(c_0_628,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| epred9_0
| op(e1,e1) != e2
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_629,plain,
( epred9_0
| op(e1,e1) != e2
| op(e1,e1) != e3
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_623]) ).
cnf(c_0_630,plain,
( epred9_0
| op(e1,e1) != e3
| op(e1,e1) != e3
| op(e3,e2) != e3
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_631,plain,
( op(e1,e3) = e1
| epred9_0
| op(e1,e1) != e2
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_624]) ).
cnf(c_0_632,plain,
( op(e2,e2) = e2
| op(e1,e0) = e3
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_625,c_0_626]) ).
cnf(c_0_633,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2
| epred22_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_627]),c_0_439]) ).
cnf(c_0_634,plain,
( op(e1,e3) = e1
| op(e1,e3) = e1
| epred9_0
| op(e3,e2) != e3
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_635,plain,
( op(e0,e0) = e3
| epred9_0
| op(e1,e1) != e2
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_628,c_0_629]) ).
cnf(c_0_636,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| epred9_0
| op(e3,e2) != e3
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_637,plain,
( epred9_0
| op(e1,e1) != e3
| op(e3,e2) != e3
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_630]) ).
cnf(c_0_638,plain,
( op(e1,e3) = e1
| epred22_0
| epred9_0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_631,c_0_552]) ).
cnf(c_0_639,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_632]),c_0_608]) ).
cnf(c_0_640,plain,
( op(e3,e2) = e2
| op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_633]),c_0_116]) ).
cnf(c_0_641,plain,
( op(e1,e3) = e1
| epred9_0
| op(e3,e2) != e3
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_634]) ).
cnf(c_0_642,plain,
( op(e0,e0) = e3
| epred22_0
| epred9_0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_635,c_0_552]) ).
cnf(c_0_643,plain,
( op(e0,e0) = e3
| epred9_0
| op(e3,e2) != e3
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_636,c_0_637]) ).
cnf(c_0_644,plain,
( op(e3,op(e3,e3)) = e3
| op(e1,e3) = e1
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_601]),c_0_638]) ).
cnf(c_0_645,plain,
( op(e3,e3) = e2
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_639]),c_0_640]) ).
cnf(c_0_646,plain,
( op(e1,e3) = e1
| epred22_0
| epred9_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_641,c_0_552]) ).
cnf(c_0_647,plain,
( op(e3,op(e3,e3)) = e3
| op(e0,e0) = e3
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_580]),c_0_642]) ).
cnf(c_0_648,plain,
( op(e0,e0) = e3
| epred22_0
| epred9_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_643,c_0_552]) ).
fof(c_0_649,plain,
( epred8_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_650,plain,
( op(e1,e1) = e3
| op(e1,e2) = e1
| epred9_0
| op(e0,e3) != e0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_651,plain,
( op(e1,e3) = e1
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_645]),c_0_646]) ).
cnf(c_0_652,plain,
( op(e0,e0) = e3
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_645]),c_0_648]) ).
fof(c_0_653,plain,
( epred9_0
=> ( epred8_0
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_523]),c_0_649]) ).
cnf(c_0_654,plain,
( op(e1,e2) = e1
| epred9_0
| op(e0,e3) != e0
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_650,c_0_565]) ).
cnf(c_0_655,plain,
( epred22_0
| epred9_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_411,c_0_651]) ).
cnf(c_0_656,plain,
( epred22_0
| epred9_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_589,c_0_652]) ).
fof(c_0_657,plain,
( ( op(e1,e2) = e1
| op(e1,e2) = e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) = e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) != e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) != e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) = e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) = e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) = e2
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e2) != e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) != e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) != e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e2) = e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) = e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) = e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) != e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) != e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) = e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) = e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) = e2
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e2) != e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) != e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) != e1
| op(e1,e1) != e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e2) = e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) = e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) != e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e2) != e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) != e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) != e1
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) = e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) != e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) != e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e1) = e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e1) = e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e1) = e2
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e1,e2) = e1
| op(e1,e2) != e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) = e2
| op(e1,e2) != e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 )
& ( op(e2,e2) != e2
| op(e1,e2) != e1
| op(e0,e2) != e0
| epred8_0
| ~ epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_653])]) ).
cnf(c_0_658,plain,
( op(e1,e2) = e1
| epred22_0
| epred9_0
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_654,c_0_552]) ).
cnf(c_0_659,plain,
( op(e0,e3) = e2
| op(e0,e3) = e0
| epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_597]),c_0_656]) ).
cnf(c_0_660,plain,
( epred8_0
| op(e1,e1) != e2
| op(e1,e1) != e2
| op(e1,e1) != e2
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_661,plain,
( op(e1,e2) = e3
| epred22_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_651]),c_0_165]) ).
cnf(c_0_662,plain,
( op(e0,e3) = e2
| op(e1,e2) = e1
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_658,c_0_659]) ).
cnf(c_0_663,plain,
( op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_664,plain,
( epred8_0
| op(e1,e1) != e2
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_660]) ).
cnf(c_0_665,plain,
( op(e0,e3) = e2
| epred22_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_662]),c_0_165]) ).
cnf(c_0_666,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| epred8_0
| op(e2,e2) != e2
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_667,plain,
( op(e2,e2) = e2
| op(e0,e0) = e2
| epred8_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_663,c_0_664]) ).
cnf(c_0_668,plain,
( op(e1,e2) = e1
| op(e1,e2) = e1
| op(e1,e2) = e1
| epred8_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_669,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| epred8_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_664,c_0_469]) ).
cnf(c_0_670,plain,
( epred22_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_665]),c_0_645]) ).
cnf(c_0_671,plain,
( op(e0,e0) = e2
| epred8_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_666,c_0_667]),c_0_664]) ).
cnf(c_0_672,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e0) = e2
| epred8_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_664,c_0_383]) ).
cnf(c_0_673,plain,
( op(e1,e2) = e1
| epred8_0
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_668]) ).
cnf(c_0_674,plain,
( op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_669,c_0_670]) ).
cnf(c_0_675,plain,
( op(e0,e0) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_671,c_0_670]) ).
cnf(c_0_676,plain,
( op(e1,e0) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_672,c_0_670]) ).
cnf(c_0_677,plain,
( epred8_0
| op(e2,e2) != e2
| op(e1,e2) != e1
| op(e0,e2) != e0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_678,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_679,plain,
( op(e1,e2) = e1
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_673,c_0_670]) ).
cnf(c_0_680,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_174,c_0_554]) ).
cnf(c_0_681,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_674]),c_0_675]) ).
cnf(c_0_682,plain,
( epred22_0
| epred8_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_361,c_0_675]) ).
fof(c_0_683,plain,
( e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax10]) ).
cnf(c_0_684,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_676]),c_0_675]) ).
cnf(c_0_685,plain,
( op(e2,e2) = e2
| op(e1,e1) = e2
| epred8_0
| op(e0,e2) != e0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_686,plain,
( epred8_0
| op(e0,e2) != e0
| op(e2,e2) != e2
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_677,c_0_673]) ).
cnf(c_0_687,plain,
( epred22_0
| epred8_0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_678,c_0_679]) ).
cnf(c_0_688,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_451,c_0_550]) ).
fof(c_0_689,plain,
( e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax25]) ).
cnf(c_0_690,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_680,c_0_679]) ).
cnf(c_0_691,plain,
( op(e3,op(e3,e1)) = e1
| op(e1,e1) = e2
| epred22_0
| op(e1,e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_692,plain,
( op(e3,e1) = e2
| epred22_0
| epred8_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_360,c_0_681]) ).
cnf(c_0_693,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_679]),c_0_116]),c_0_682]) ).
cnf(c_0_694,plain,
( e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_683]) ).
cnf(c_0_695,plain,
( op(e1,e3) = e2
| epred22_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_684]),c_0_116]) ).
cnf(c_0_696,plain,
( epred8_0
| op(e0,e2) != e0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_685,c_0_686]),c_0_664]) ).
cnf(c_0_697,plain,
( op(e0,e2) = e3
| op(e0,e2) = e0
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_369]),c_0_682]) ).
cnf(c_0_698,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_688,c_0_679]) ).
cnf(c_0_699,plain,
( e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_689]) ).
cnf(c_0_700,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| epred22_0
| epred8_0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_177,c_0_690]) ).
cnf(c_0_701,plain,
( op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_600,c_0_679]) ).
cnf(c_0_702,plain,
( op(e3,op(e3,e1)) = e1
| op(e1,e1) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_691,c_0_679]) ).
cnf(c_0_703,plain,
( op(e3,e2) = e2
| op(e3,e1) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_692,c_0_693]) ).
cnf(c_0_704,plain,
( epred22_0
| epred8_0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_405,c_0_679]) ).
cnf(c_0_705,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(op(e1,e3),op(e1,e3)) != e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_694,c_0_118]) ).
cnf(c_0_706,plain,
( epred22_0
| epred8_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_206,c_0_695]) ).
cnf(c_0_707,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0
| epred22_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_679]),c_0_101]) ).
cnf(c_0_708,plain,
( epred22_0
| epred8_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_607,c_0_679]) ).
cnf(c_0_709,plain,
( op(e0,e2) = e3
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_697]),c_0_670]) ).
cnf(c_0_710,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_711,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| epred22_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_698]),c_0_116]) ).
cnf(c_0_712,plain,
( epred22_0
| epred8_0
| op(op(e2,e0),op(e2,e0)) != e3
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_699,c_0_675]) ).
cnf(c_0_713,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e3
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_700,c_0_701]) ).
cnf(c_0_714,plain,
( op(e3,e2) = e2
| op(e1,e1) = e2
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_702,c_0_703]),c_0_704]) ).
cnf(c_0_715,plain,
( op(e3,e3) = e0
| op(e3,e3) = e3
| epred22_0
| epred8_0
| op(e2,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_695]),c_0_706]) ).
cnf(c_0_716,plain,
( op(e2,e2) = e0
| op(e3,e2) = e0
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_707]),c_0_670]) ).
cnf(c_0_717,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_718,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_708,c_0_359]) ).
cnf(c_0_719,plain,
( epred22_0
| epred8_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_374,c_0_709]) ).
cnf(c_0_720,plain,
( op(e3,e0) = e1
| epred22_0
| epred8_0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_710,c_0_711]) ).
cnf(c_0_721,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_722,plain,
( epred22_0
| epred8_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_616,c_0_695]) ).
cnf(c_0_723,plain,
( op(e3,e0) = e1
| epred22_0
| epred8_0
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_712,c_0_711]) ).
cnf(c_0_724,plain,
( op(e1,e1) = e3
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_713]),c_0_670]) ).
cnf(c_0_725,plain,
( op(e3,e2) = e2
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_714]),c_0_670]) ).
cnf(c_0_726,plain,
( op(e3,e2) = e0
| op(e3,e3) = e3
| op(e3,e3) = e0
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_715,c_0_716]) ).
cnf(c_0_727,plain,
( op(e2,e2) = e2
| epred22_0
| epred8_0
| op(e2,e3) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_718]),c_0_719]) ).
cnf(c_0_728,plain,
( op(e2,e3) = e3
| op(e2,e3) = e0
| op(e3,e0) = e1
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_721]),c_0_722]) ).
cnf(c_0_729,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e3,e0) = e1
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_723,c_0_724]) ).
cnf(c_0_730,plain,
( op(e3,op(e3,e3)) = e3
| op(e1,e1) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_679]) ).
cnf(c_0_731,plain,
( op(e3,e3) = e0
| op(e3,e3) = e3
| epred22_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_726]),c_0_203]) ).
cnf(c_0_732,plain,
( op(e3,e0) = e1
| op(e2,e3) = e3
| op(e2,e2) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_727,c_0_728]) ).
cnf(c_0_733,plain,
( op(e3,e0) = e1
| op(e1,e0) = e3
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_729]),c_0_695]) ).
cnf(c_0_734,plain,
( op(e3,e3) = e3
| op(e1,e1) = e2
| op(e3,e0) = e3
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_730,c_0_731]) ).
cnf(c_0_735,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_736,plain,
( op(e2,e3) = e3
| op(e3,e0) = e1
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_732]),c_0_725]) ).
cnf(c_0_737,plain,
( op(e3,e0) = e1
| epred22_0
| epred8_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_128,c_0_733]) ).
cnf(c_0_738,plain,
( op(e3,e0) = e3
| op(e3,e3) = e3
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_734]),c_0_670]) ).
cnf(c_0_739,plain,
( op(e3,e0) = e1
| epred22_0
| epred8_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_740,plain,
( op(e3,e3) = e3
| epred22_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_738]),c_0_165]) ).
cnf(c_0_741,plain,
( op(e3,op(e3,e0)) = e0
| op(e1,e1) = e2
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_679]) ).
cnf(c_0_742,plain,
( op(e3,e0) = e1
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_739,c_0_740]) ).
fof(c_0_743,plain,
( epred7_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_744,plain,
( op(e1,e1) = e2
| op(e3,e1) = e0
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_741,c_0_742]) ).
fof(c_0_745,plain,
( epred6_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 ) ) ),
introduced(definition) ).
fof(c_0_746,plain,
( epred8_0
=> ( epred7_0
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_649]),c_0_743]) ).
cnf(c_0_747,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| epred22_0
| epred8_0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_208,c_0_690]) ).
cnf(c_0_748,plain,
( op(e3,e1) = e0
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_744]),c_0_670]) ).
fof(c_0_749,plain,
( epred7_0
=> ( epred6_0
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_743]),c_0_745]) ).
fof(c_0_750,plain,
( ( op(e1,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) != e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e1,e1) != e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) = e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e1,e1) != e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) != e1
| epred7_0
| ~ epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_746])]) ).
fof(c_0_751,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax21]) ).
cnf(c_0_752,plain,
( op(e1,e1) = e2
| op(e1,e1) = e3
| epred22_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_747,c_0_748]) ).
fof(c_0_753,plain,
( ( op(e1,e1) = e1
| op(e1,e0) = e1
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e0) = e1
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e0) = e1
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e1) != e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e3) = e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e3) = e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e3) = e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e3) = e0
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e0) != e3
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e0) != e3
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e0) != e3
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e0) != e3
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e1,e0) = e1
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e0) = e1
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e0) = e1
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e1) != e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e3) = e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e3) = e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e3) = e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e3) = e0
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e0) != e3
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e0) != e3
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e0) != e3
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e0) != e3
| op(e1,e1) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e1,e0) = e1
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e0) = e1
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e0) = e1
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e1) != e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e3) = e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e3) = e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e3) = e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e0) != e3
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e0) != e3
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e0) != e3
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e0) != e3
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e1,e0) = e1
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e0) = e1
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e0) = e1
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e1,e1) != e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e1,e1) != e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e3) = e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e3) = e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e3) = e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e3) = e0
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) = e1
| op(e3,e0) != e3
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e0) != e3
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e1
| op(e3,e0) != e3
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e0,e1) != e0
| op(e3,e0) != e3
| op(e2,e0) != e2
| epred6_0
| ~ epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_749])]) ).
cnf(c_0_754,plain,
( epred7_0
| op(e1,e1) != e1
| op(e1,e1) != e1
| op(e1,e1) != e1
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_755,plain,
( op(e1,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e1
| epred7_0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_756,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_751]) ).
cnf(c_0_757,plain,
( op(e1,e1) = e3
| epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_752]),c_0_670]) ).
cnf(c_0_758,plain,
( op(e1,e0) = e1
| op(e1,e0) = e1
| epred6_0
| op(e1,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_759,plain,
( op(e1,e1) = e1
| op(e1,e0) = e1
| op(e1,e0) = e1
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_760,plain,
( epred7_0
| op(e1,e1) != e1
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_754]) ).
cnf(c_0_761,plain,
( op(e1,e1) = e1
| epred7_0
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_755]) ).
cnf(c_0_762,plain,
( epred22_0
| epred8_0
| op(op(e3,e1),op(e3,e1)) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_757]),c_0_748]) ).
cnf(c_0_763,plain,
( epred6_0
| op(e1,e1) != e1
| op(e1,e1) != e0
| op(e1,e1) != e0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_764,plain,
( op(e1,e1) = e1
| epred6_0
| op(e1,e1) != e0
| op(e1,e1) != e0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_765,plain,
( op(e1,e0) = e1
| epred6_0
| op(e1,e1) != e1
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_758]) ).
cnf(c_0_766,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| epred6_0
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_759]) ).
cnf(c_0_767,plain,
( epred7_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_760,c_0_761]) ).
cnf(c_0_768,plain,
( epred22_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_748]),c_0_675]) ).
cnf(c_0_769,plain,
( epred6_0
| op(e1,e1) != e0
| op(e1,e1) != e1
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_763]) ).
cnf(c_0_770,plain,
( op(e1,e1) = e1
| epred6_0
| op(e1,e1) != e0
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_764]) ).
cnf(c_0_771,plain,
( op(e1,e0) = e1
| epred6_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_765,c_0_766]) ).
cnf(c_0_772,plain,
( epred22_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_767,c_0_768]) ).
cnf(c_0_773,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| epred6_0
| op(e1,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_774,plain,
( op(e1,e1) = e1
| op(e3,e3) = e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_775,plain,
( op(e3,e3) = e0
| epred6_0
| op(e1,e1) != e1
| op(e2,e0) != e2
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_776,plain,
( op(e1,e1) = e1
| op(e3,e3) = e0
| epred6_0
| op(e2,e0) != e2
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_777,plain,
( epred6_0
| op(e1,e1) != e0
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_769,c_0_770]) ).
cnf(c_0_778,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_779,plain,
( op(e1,e0) = e1
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_771,c_0_772]) ).
cnf(c_0_780,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| epred6_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_773,c_0_774]) ).
cnf(c_0_781,plain,
( op(e3,e3) = e0
| epred6_0
| op(e2,e0) != e2
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_775,c_0_776]) ).
cnf(c_0_782,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| epred6_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_777,c_0_778]) ).
cnf(c_0_783,plain,
( epred22_0
| epred6_0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_113,c_0_779]) ).
cnf(c_0_784,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_785,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_780,c_0_772]) ).
cnf(c_0_786,plain,
( op(e3,e3) = e0
| epred22_0
| epred6_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_781,c_0_772]) ).
cnf(c_0_787,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_782,c_0_772]) ).
cnf(c_0_788,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_783,c_0_784]) ).
cnf(c_0_789,plain,
( op(e3,op(e3,e1)) = e1
| op(e3,e3) = e0
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_785]),c_0_786]) ).
cnf(c_0_790,plain,
( op(e3,e3) = e0
| epred22_0
| epred6_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_214,c_0_785]) ).
cnf(c_0_791,plain,
( epred22_0
| epred6_0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_128,c_0_779]) ).
cnf(c_0_792,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_779,c_0_787]),c_0_101]) ).
cnf(c_0_793,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| epred22_0
| epred6_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_121,c_0_788]) ).
cnf(c_0_794,plain,
( op(e3,e0) = e0
| op(e3,e3) = e0
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_213]),c_0_790]),c_0_791]) ).
cnf(c_0_795,plain,
( op(e1,e3) = e0
| epred22_0
| epred6_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_607,c_0_792]) ).
cnf(c_0_796,plain,
( epred22_0
| epred6_0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_146,c_0_779]) ).
cnf(c_0_797,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_177,c_0_554]) ).
cnf(c_0_798,plain,
( epred22_0
| epred6_0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_451,c_0_779]) ).
cnf(c_0_799,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_800,plain,
( op(e3,e3) = e0
| op(e0,e0) = e3
| op(e0,e0) = e2
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_793,c_0_794]) ).
cnf(c_0_801,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_802,plain,
( op(e3,e3) = e0
| op(e1,e3) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_795,c_0_785]) ).
cnf(c_0_803,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_796,c_0_134]) ).
fof(c_0_804,plain,
( e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax28]) ).
cnf(c_0_805,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_797,c_0_779]) ).
cnf(c_0_806,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_798,c_0_799]) ).
cnf(c_0_807,plain,
( op(e0,e0) = e3
| op(e3,e3) = e0
| epred22_0
| epred6_0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_589,c_0_800]) ).
cnf(c_0_808,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e0,e3) = e2
| epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_802]),c_0_203]) ).
cnf(c_0_809,plain,
( op(e2,e0) = e2
| op(e2,e0) = e3
| epred22_0
| epred6_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_467,c_0_803]) ).
cnf(c_0_810,plain,
( e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_804]) ).
cnf(c_0_811,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_812,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_805]),c_0_772]) ).
cnf(c_0_813,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3
| epred22_0
| epred6_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_607,c_0_806]) ).
cnf(c_0_814,plain,
( op(e3,op(e3,e2)) = e2
| op(e2,op(e2,e2)) = e2
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_815,plain,
( op(e2,e3) = e2
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(e0,e0) = e3
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_807,c_0_808]) ).
cnf(c_0_816,plain,
( op(e3,e3) = e0
| op(e2,e0) = e3
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_809,c_0_785]),c_0_786]) ).
fof(c_0_817,plain,
( e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax6]) ).
cnf(c_0_818,plain,
( op(e3,e3) = e0
| epred22_0
| epred6_0
| op(op(e0,e2),op(e0,e2)) != e3
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_810,c_0_785]) ).
cnf(c_0_819,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e0,e2) = e1
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_798,c_0_811]) ).
cnf(c_0_820,plain,
( op(e1,e1) = e3
| epred22_0
| epred6_0
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_174,c_0_812]) ).
cnf(c_0_821,plain,
( op(e3,e3) = e0
| op(e1,e2) = e3
| op(e1,e2) = e2
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_813,c_0_785]) ).
cnf(c_0_822,plain,
( op(e3,op(e3,e2)) = e2
| op(e3,e3) = e0
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_814,c_0_785]),c_0_786]) ).
cnf(c_0_823,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_824,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| op(e2,e3) = e2
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_815]),c_0_816]) ).
cnf(c_0_825,plain,
( op(e3,e3) = e0
| epred22_0
| epred6_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_467,c_0_816]) ).
cnf(c_0_826,plain,
( e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_817]) ).
cnf(c_0_827,plain,
( op(e2,e2) = e1
| op(e3,e2) = e1
| op(e3,e3) = e0
| epred22_0
| epred6_0
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_818,c_0_819]) ).
cnf(c_0_828,plain,
( op(e1,e2) = e3
| op(e3,e3) = e0
| op(e1,e1) = e3
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_820,c_0_821]) ).
cnf(c_0_829,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e3) = e0
| op(e3,e1) = e2
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_823]),c_0_790]) ).
cnf(c_0_830,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_824]),c_0_825]) ).
cnf(c_0_831,plain,
( op(e1,e1) = e3
| epred22_0
| epred6_0
| op(op(e2,e1),op(e2,e1)) != e0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_826,c_0_812]) ).
cnf(c_0_832,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_833,plain,
( op(e1,e2) = e3
| op(e3,e3) = e0
| op(e3,e2) = e1
| op(e2,e2) = e1
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_827,c_0_828]) ).
cnf(c_0_834,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_835,plain,
( op(e3,e3) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_829]),c_0_830]) ).
cnf(c_0_836,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e1,e1) = e3
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_832]),c_0_816]) ).
cnf(c_0_837,plain,
( op(e2,e2) = e1
| op(e3,e2) = e1
| op(e3,e3) = e0
| epred22_0
| epred6_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_405,c_0_833]) ).
cnf(c_0_838,plain,
( op(e3,e2) = e3
| op(e3,e3) = e0
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_835]),c_0_830]) ).
cnf(c_0_839,plain,
( op(e2,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_836]),c_0_832]) ).
cnf(c_0_840,plain,
( op(e3,e3) = e0
| op(e2,e2) = e1
| epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_838]),c_0_165]) ).
fof(c_0_841,plain,
( e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax22]) ).
cnf(c_0_842,plain,
( epred22_0
| epred6_0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_549,c_0_779]) ).
cnf(c_0_843,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_844,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e3) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_491,c_0_839]) ).
cnf(c_0_845,plain,
( op(e3,e3) = e0
| epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_840]),c_0_101]) ).
cnf(c_0_846,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| epred22_0
| epred6_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_140,c_0_839]) ).
cnf(c_0_847,plain,
( e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_841]) ).
cnf(c_0_848,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_849,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_842,c_0_843]) ).
cnf(c_0_850,plain,
( op(e2,e3) = e0
| op(e2,e2) = e3
| op(e2,e3) = e3
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_844,c_0_845]),c_0_846]) ).
cnf(c_0_851,plain,
( epred22_0
| epred6_0
| op(op(e0,e3),op(e0,e3)) != e2
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_847,c_0_845]) ).
cnf(c_0_852,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_842,c_0_848]) ).
cnf(c_0_853,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3
| epred22_0
| epred6_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_206,c_0_849]) ).
cnf(c_0_854,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,e3) = e3
| op(e2,e3) = e0
| op(e2,e3) = e2
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_850]) ).
cnf(c_0_855,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| epred22_0
| epred6_0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_851,c_0_852]) ).
cnf(c_0_856,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_853,c_0_845]) ).
cnf(c_0_857,plain,
( op(e2,e3) = e2
| op(e2,e3) = e0
| op(e2,e3) = e3
| op(e3,e0) = e3
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_854,c_0_845]) ).
cnf(c_0_858,plain,
( op(e1,e1) = e3
| epred22_0
| epred6_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_553,c_0_812]) ).
cnf(c_0_859,plain,
( op(e1,e1) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_855,c_0_812]) ).
cnf(c_0_860,plain,
( op(e1,e3) = e3
| epred22_0
| epred6_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_616,c_0_856]) ).
cnf(c_0_861,plain,
( op(e3,e0) = e3
| op(e2,e3) = e3
| op(e2,e3) = e2
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_857]),c_0_845]) ).
cnf(c_0_862,plain,
( op(e1,e3) = e3
| op(e1,e1) = e3
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_858,c_0_856]) ).
cnf(c_0_863,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| epred22_0
| epred6_0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_553,c_0_859]) ).
cnf(c_0_864,plain,
( op(e2,e3) = e3
| op(e3,e0) = e3
| op(e1,e3) = e3
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_860,c_0_861]) ).
fof(c_0_865,plain,
( epred5_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_866,plain,
( op(e1,e3) = e3
| epred22_0
| epred6_0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_208,c_0_862]) ).
cnf(c_0_867,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_868,plain,
( op(e3,e0) = e3
| op(e2,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_863,c_0_864]) ).
fof(c_0_869,plain,
( epred6_0
=> ( epred5_0
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_745]),c_0_865]) ).
cnf(c_0_870,plain,
( op(e2,e2) = e0
| epred6_0
| op(e1,e1) != e1
| op(e3,e0) != e3
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_871,plain,
( op(e1,e1) = e1
| op(e2,e2) = e0
| epred6_0
| op(e3,e0) != e3
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_872,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e0) = e3
| op(e1,e3) = e3
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_866,c_0_867]) ).
cnf(c_0_873,plain,
( op(e3,e3) = e1
| op(e2,e3) = e3
| op(e3,e0) = e3
| epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_861,c_0_868]),c_0_165]),c_0_116]) ).
fof(c_0_874,plain,
( ( op(e1,e0) = e1
| op(e1,e0) = e1
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e0) = e1
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e0) = e1
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e1) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) = e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) = e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) != e0
| op(e0,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e0) = e1
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e0) = e1
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e1) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) = e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) = e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) != e0
| op(e0,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e1,e0) = e1
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e0) = e1
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e0) = e1
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e1) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) = e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) = e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) = e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) != e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e1,e0) = e1
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e0) = e1
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e0) = e1
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e1,e1) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e1,e1) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) = e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) = e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) = e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) = e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) != e0
| op(e0,e0) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e0
| op(e0,e0) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e0) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_869])]) ).
cnf(c_0_875,plain,
( op(e2,e2) = e0
| epred6_0
| op(e3,e0) != e3
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_870,c_0_871]) ).
cnf(c_0_876,plain,
( op(e3,e0) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| epred22_0
| epred6_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_616,c_0_872]) ).
cnf(c_0_877,plain,
( op(e3,e0) = e3
| op(e3,e3) = e1
| epred22_0
| epred6_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_735,c_0_873]) ).
cnf(c_0_878,plain,
( op(e3,e3) = e3
| epred5_0
| op(e1,e1) != e0
| op(e1,e1) != e0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_879,plain,
( epred5_0
| op(e1,e1) != e0
| op(e1,e1) != e0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_880,plain,
( op(e2,e2) = e0
| epred22_0
| epred6_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_875,c_0_772]) ).
cnf(c_0_881,plain,
( op(e3,e3) = e1
| op(e3,e2) = e3
| op(e3,e0) = e3
| epred22_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_876,c_0_873]),c_0_877]) ).
cnf(c_0_882,plain,
( op(e3,e3) = e3
| epred5_0
| op(e1,e1) != e0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_878]) ).
cnf(c_0_883,plain,
( epred5_0
| op(e1,e1) != e0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_879]) ).
cnf(c_0_884,plain,
( op(e3,e2) = e3
| op(e3,e3) = e1
| op(e2,e2) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_880,c_0_881]) ).
fof(c_0_885,plain,
( epred4_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_886,plain,
( op(e1,e0) = e1
| op(e1,e0) = e1
| epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_887,plain,
( op(e1,e0) = e1
| op(e1,e0) = e1
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_888,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_889,plain,
( epred5_0
| op(e1,e1) != e0
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_882,c_0_883]) ).
cnf(c_0_890,plain,
( op(e3,e3) = e1
| op(e3,e2) = e3
| op(e1,e3) = e0
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_795,c_0_884]) ).
fof(c_0_891,plain,
( epred5_0
=> ( epred4_0
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e2,e2) = e3
& op(e2,e3) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_865]),c_0_885]) ).
cnf(c_0_892,plain,
( op(e1,e0) = e1
| epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_886]) ).
cnf(c_0_893,plain,
( op(e1,e0) = e1
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_887]) ).
cnf(c_0_894,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_895,plain,
( op(e3,e3) = e3
| op(e0,e0) = e0
| epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_888,c_0_889]) ).
cnf(c_0_896,plain,
( op(e3,e2) = e3
| op(e3,e3) = e1
| epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_890]),c_0_217]),c_0_203]) ).
fof(c_0_897,plain,
( ( op(e0,e3) = e0
| op(e0,e3) = e0
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e3) = e0
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e3) = e0
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e0) != e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e0) != e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e1) = e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e1) = e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e3) != e1
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e3) != e1
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e0,e3) = e0
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e3) = e0
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e3) = e0
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e0) != e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e0) != e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e1) = e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e1) = e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e3) != e1
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e3) != e1
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e0,e3) = e0
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e3) = e0
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e3) = e0
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e0) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e0) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e0,e3) = e0
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e3) = e0
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e3) = e0
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e0,e0) != e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e0,e0) != e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e3) = e0
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e0,e0) != e3
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e3) != e0
| epred4_0
| ~ epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_891])]) ).
cnf(c_0_898,plain,
( epred5_0
| op(e1,e0) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_899,plain,
( op(e1,e0) = e1
| epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_892,c_0_893]) ).
cnf(c_0_900,plain,
( op(e0,e0) = e0
| epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_894,c_0_895]),c_0_889]) ).
cnf(c_0_901,plain,
( op(e3,e3) = e1
| op(e3,e3) = e2
| epred22_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_78,c_0_896]) ).
cnf(c_0_902,plain,
( epred4_0
| op(e0,e0) != e3
| op(e0,e0) != e3
| op(e0,e0) != e3
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_903,plain,
( op(e1,e1) = e0
| op(e3,e3) = e3
| epred5_0
| op(e0,e0) != e0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_904,plain,
( epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_898,c_0_899]),c_0_900]) ).
cnf(c_0_905,plain,
( op(e3,e3) = e2
| epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_845,c_0_901]),c_0_101]) ).
cnf(c_0_906,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_907,plain,
( epred4_0
| op(e0,e0) != e3
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_902]) ).
cnf(c_0_908,plain,
( epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_903,c_0_900]),c_0_904]),c_0_889]) ).
cnf(c_0_909,plain,
( epred22_0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_845,c_0_905]),c_0_203]) ).
cnf(c_0_910,plain,
( op(e0,e3) = e0
| op(e0,e3) = e0
| op(e0,e3) = e0
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_911,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| epred4_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_906,c_0_907]) ).
cnf(c_0_912,plain,
( epred22_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_908,c_0_909]) ).
cnf(c_0_913,plain,
( op(e0,e3) = e0
| epred4_0
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_910]) ).
cnf(c_0_914,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_911,c_0_912]) ).
cnf(c_0_915,plain,
( op(e0,e3) = e0
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_913,c_0_912]) ).
cnf(c_0_916,plain,
( op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_238,c_0_914]) ).
cnf(c_0_917,plain,
( op(e2,op(e2,e0)) = e0
| op(e0,e0) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_915]) ).
cnf(c_0_918,plain,
( op(e2,e3) = e3
| op(e2,e0) = e3
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_916,c_0_832]) ).
cnf(c_0_919,plain,
( epred22_0
| epred4_0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_158,c_0_915]) ).
cnf(c_0_920,plain,
( op(e2,e2) = e3
| op(e0,e0) = e3
| epred4_0
| op(e1,e3) != e1
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_921,plain,
( epred4_0
| op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e3) != e0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_922,plain,
( op(e0,e0) = e3
| op(e2,op(e2,e2)) = e2
| epred22_0
| op(e0,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_923,plain,
( op(e2,e2) = e3
| op(e2,e3) = e3
| op(e0,e0) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_918]),c_0_919]) ).
cnf(c_0_924,plain,
( op(e2,e2) = e3
| epred4_0
| op(e1,e3) != e1
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_920,c_0_907]) ).
cnf(c_0_925,plain,
( epred4_0
| op(e1,e3) != e1
| op(e2,e3) != e2
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_921,c_0_913]) ).
cnf(c_0_926,plain,
( op(e2,op(e2,e2)) = e2
| op(e0,e0) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_922,c_0_915]) ).
cnf(c_0_927,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_923]),c_0_912]) ).
cnf(c_0_928,plain,
( op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_924,c_0_912]) ).
cnf(c_0_929,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1
| epred4_0
| op(e2,e3) != e2
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_925,c_0_848]) ).
cnf(c_0_930,plain,
( op(e2,e3) = e3
| op(e0,e0) = e3
| op(e2,e3) = e2
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_926,c_0_927]) ).
cnf(c_0_931,plain,
( op(e0,e0) = e3
| op(e2,op(e2,e1)) = e1
| epred22_0
| op(e0,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_932,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_933,plain,
( op(e2,e2) = e3
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| epred22_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_914]),c_0_217]) ).
cnf(c_0_934,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_928,c_0_848]) ).
cnf(c_0_935,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred22_0
| epred4_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_929,c_0_912]) ).
cnf(c_0_936,plain,
( op(e2,e3) = e2
| op(e2,e3) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_930]),c_0_912]) ).
cnf(c_0_937,plain,
( op(e2,op(e2,e1)) = e1
| op(e0,e0) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_931,c_0_915]) ).
cnf(c_0_938,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_933]),c_0_915]) ).
cnf(c_0_939,plain,
( op(e2,e2) = e3
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred22_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_915,c_0_934]),c_0_101]) ).
cnf(c_0_940,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| op(e0,e3) = e1
| epred22_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_936]),c_0_116]) ).
cnf(c_0_941,plain,
( op(e2,e2) = e3
| op(e1,e2) = e1
| op(e1,e0) = e1
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_914]),c_0_165]),c_0_928]) ).
cnf(c_0_942,plain,
( op(e2,e2) = e3
| op(e3,e1) = e0
| op(e0,e0) = e3
| op(e2,e0) = e1
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_937,c_0_938]) ).
cnf(c_0_943,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| epred22_0
| epred4_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_717,c_0_939]) ).
cnf(c_0_944,plain,
( op(e3,e3) = e1
| op(e2,e3) = e3
| epred22_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_915,c_0_940]),c_0_101]) ).
cnf(c_0_945,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| op(e2,e3) != e2
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_946,plain,
( op(e0,e0) = e3
| op(e1,e1) = e2
| epred22_0
| op(e0,e3) != e0
| op(e1,e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_947,plain,
( op(e1,e2) = e1
| op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_146,c_0_941]) ).
cnf(c_0_948,plain,
( op(e2,e0) = e1
| op(e3,e1) = e0
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_942]),c_0_912]) ).
cnf(c_0_949,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_843]) ).
cnf(c_0_950,plain,
( op(e3,e3) = e1
| epred22_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_943,c_0_944]),c_0_165]) ).
cnf(c_0_951,plain,
( op(e1,e1) = e3
| epred4_0
| op(e2,e3) != e2
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_945,c_0_907]) ).
cnf(c_0_952,plain,
( op(e1,e1) = e2
| op(e0,e0) = e3
| epred22_0
| epred4_0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_946,c_0_915]) ).
cnf(c_0_953,plain,
( op(e3,e1) = e0
| op(e2,e2) = e3
| op(e1,e2) = e1
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_947,c_0_948]) ).
cnf(c_0_954,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_949,c_0_950]) ).
cnf(c_0_955,plain,
( op(e1,e1) = e3
| epred22_0
| epred4_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_951,c_0_912]) ).
cnf(c_0_956,plain,
( op(e2,e2) = e3
| op(e3,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e2
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_952,c_0_953]) ).
cnf(c_0_957,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_954]),c_0_915]) ).
cnf(c_0_958,plain,
( op(e2,e3) = e3
| op(e1,e1) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_955,c_0_936]) ).
cnf(c_0_959,plain,
( op(e0,e0) = e3
| op(e3,e1) = e0
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_956]),c_0_439]) ).
cnf(c_0_960,plain,
( op(e1,e3) = e3
| epred22_0
| epred4_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_616,c_0_957]) ).
cnf(c_0_961,plain,
( op(e2,e3) = e3
| epred22_0
| epred4_0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_553,c_0_958]) ).
cnf(c_0_962,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_963,plain,
( epred1_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_964,plain,
( op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_177,c_0_914]) ).
cnf(c_0_965,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_966,plain,
( op(e2,e2) = e3
| op(e3,e1) = e0
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_959]),c_0_912]) ).
cnf(c_0_967,plain,
( op(e2,e3) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_960,c_0_936]),c_0_961]) ).
cnf(c_0_968,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_549,c_0_962]) ).
cnf(c_0_969,plain,
( op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_553,c_0_914]) ).
fof(c_0_970,plain,
( epred2_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
introduced(definition) ).
fof(c_0_971,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 ) ) ),
inference(split_equiv,[status(thm)],[c_0_963]) ).
cnf(c_0_972,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e0,e0) = e3
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_964,c_0_965]) ).
cnf(c_0_973,plain,
( op(e2,e2) = e3
| epred22_0
| epred4_0
| op(op(e3,e1),op(e3,e1)) != e2
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_756,c_0_914]) ).
cnf(c_0_974,plain,
( op(e3,e1) = e0
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_966]),c_0_967]) ).
cnf(c_0_975,plain,
( op(e1,e3) = e3
| op(e0,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_968,c_0_957]) ).
cnf(c_0_976,plain,
( op(e1,e3) = e2
| op(e1,e3) = e0
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_928,c_0_843]),c_0_969]) ).
fof(c_0_977,plain,
( epred2_0
=> ( epred1_0
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_970]),c_0_963]) ).
fof(c_0_978,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) != e0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_971])]) ).
fof(c_0_979,plain,
( epred3_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e3,e3) = e0
& op(e3,e0) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_980,plain,
( op(e2,e2) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_972]),c_0_912]) ).
cnf(c_0_981,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_373,c_0_243]) ).
cnf(c_0_982,plain,
( op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_973,c_0_974]) ).
cnf(c_0_983,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_975]),c_0_967]) ).
cnf(c_0_984,plain,
( epred22_0
| epred4_0
| op(op(e1,e3),op(e1,e3)) != e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_694,c_0_950]) ).
cnf(c_0_985,plain,
( op(e2,e2) = e3
| op(e1,e3) = e2
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_976]),c_0_915]) ).
fof(c_0_986,plain,
( ( op(e0,e1) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) = e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) != e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) = e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e1) = e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) = e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) != e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) = e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e0,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e1) = e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) = e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) = e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) != e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e1) = e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) = e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) = e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) != e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) != e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e1) = e0
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0
| op(e3,e0) != e3
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_977])]) ).
cnf(c_0_987,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_978]) ).
cnf(c_0_988,plain,
( op(e0,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_978]) ).
fof(c_0_989,plain,
( epred4_0
=> ( epred3_0
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e3,e3) = e2
& op(e3,e2) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_885]),c_0_979]) ).
cnf(c_0_990,plain,
( op(e3,e0) = e3
| op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_710,c_0_980]) ).
cnf(c_0_991,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_981,c_0_974]),c_0_919]) ).
cnf(c_0_992,plain,
( op(e2,e0) = e2
| op(e3,e0) = e2
| op(e2,e2) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_982,c_0_983]) ).
cnf(c_0_993,plain,
( op(e2,e2) = e3
| epred22_0
| epred4_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_984,c_0_985]) ).
fof(c_0_994,plain,
( epred3_0
=> ( epred2_0
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e3,e3) = e1
& op(e3,e1) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e0,e0) = e2
& op(e0,e2) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_979]),c_0_970]) ).
cnf(c_0_995,plain,
( op(e0,e1) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_996,plain,
( op(e0,e0) != e0
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_987]) ).
cnf(c_0_997,plain,
( op(e0,e0) = e0
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_988]) ).
fof(c_0_998,plain,
( ( op(e0,e2) = e0
| op(e0,e2) = e0
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e2) = e0
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e2) = e0
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e0) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e0) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) = e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) = e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e0,e2) = e0
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e2) = e0
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e2) = e0
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e0) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e0) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) = e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) = e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e0,e0) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e0,e2) = e0
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e2) = e0
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e2) = e0
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e0) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e0) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e0,e2) = e0
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e2) = e0
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e2) = e0
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e0,e0) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e0,e0) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e0,e2) = e0
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e2) != e1
| epred3_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_989])]) ).
cnf(c_0_999,plain,
( op(e2,e2) = e3
| op(e3,e0) = e3
| epred22_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_990,c_0_967]) ).
cnf(c_0_1000,plain,
( op(e2,e2) = e3
| op(e3,e0) = e2
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_991,c_0_992]),c_0_203]),c_0_993]) ).
fof(c_0_1001,plain,
( ( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e1) = e0
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e1) = e0
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e0) != e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e0) != e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e3) = e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e3) = e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e1) != e3
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e1) != e3
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e1) = e0
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e1) = e0
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e0) != e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e0) != e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e3) = e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e3) = e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e1) != e3
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e1) != e3
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e0,e0) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e1) = e0
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e1) = e0
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e0) != e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e0) != e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e1) = e0
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e1) = e0
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e0,e0) != e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e0,e0) != e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e0,e0) != e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e3) = e1
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) = e0
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) != e2
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e0,e2) != e0
| op(e3,e1) != e3
| op(e2,e1) != e2
| epred2_0
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_994])]) ).
cnf(c_0_1002,plain,
( op(e0,e1) = e0
| op(e0,e1) = e0
| epred1_0
| op(e0,e0) != e0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_1003,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_995]) ).
cnf(c_0_1004,plain,
~ epred1_0,
inference(csr,[status(thm)],[c_0_996,c_0_997]) ).
cnf(c_0_1005,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1006,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1007,plain,
( op(e3,e0) = e3
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_999]),c_0_967]) ).
cnf(c_0_1008,plain,
( op(e3,e0) = e2
| epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_1000]),c_0_967]) ).
cnf(c_0_1009,plain,
( op(e0,e1) = e0
| op(e0,e1) = e0
| epred2_0
| op(e0,e0) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1010,plain,
( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1011,plain,
( op(e0,e1) = e0
| epred1_0
| op(e0,e0) != e0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_1002]) ).
cnf(c_0_1012,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0
| ~ epred2_0 ),
inference(sr,[status(thm)],[c_0_1003,c_0_1004]) ).
cnf(c_0_1013,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_1005,c_0_1006]) ).
cnf(c_0_1014,plain,
( epred22_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1007,c_0_1008]),c_0_439]) ).
cnf(c_0_1015,plain,
( op(e0,e1) = e0
| epred2_0
| op(e0,e0) != e2
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_1009]) ).
cnf(c_0_1016,plain,
( op(e0,e0) = e2
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_1010]) ).
cnf(c_0_1017,plain,
( op(e0,e1) = e0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1011,c_0_1004]),c_0_1012]) ).
cnf(c_0_1018,plain,
( op(e3,e3) = e2
| epred3_0
| op(e2,e2) != e2
| op(e1,e2) != e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1019,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| epred3_0
| op(e1,e2) != e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1020,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1013,c_0_1014]) ).
cnf(c_0_1021,plain,
( op(e0,e1) = e0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1015,c_0_1016]),c_0_1017]) ).
cnf(c_0_1022,plain,
( op(e0,e2) = e0
| op(e0,e2) = e0
| op(e0,e2) = e0
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1023,plain,
( op(e3,e3) = e2
| epred3_0
| op(e1,e2) != e1
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_1018,c_0_1019]) ).
cnf(c_0_1024,plain,
( op(e3,e3) = e2
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| epred22_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_1020]),c_0_203]),c_0_1021]) ).
cnf(c_0_1025,plain,
( op(e0,e2) = e0
| epred3_0
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_1022]) ).
cnf(c_0_1026,plain,
( op(e3,e3) = e2
| epred22_0
| epred3_0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_1023,c_0_1014]) ).
cnf(c_0_1027,plain,
( op(e3,e3) = e2
| epred22_0
| epred3_0
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_174,c_0_1020]) ).
cnf(c_0_1028,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_234,c_0_778]) ).
cnf(c_0_1029,plain,
( op(e2,e1) != e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_356,c_0_1021]) ).
cnf(c_0_1030,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| op(e3,e3) = e2
| epred22_0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_362,c_0_1024]) ).
cnf(c_0_1031,plain,
( op(e0,e2) = e0
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1025,c_0_1014]) ).
cnf(c_0_1032,plain,
( op(e1,e2) = e3
| op(e1,e2) = e0
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1026,c_0_799]),c_0_1027]) ).
cnf(c_0_1033,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_1028,c_0_1021]) ).
cnf(c_0_1034,plain,
( epred3_0
| op(e0,e0) != e2
| op(e0,e0) != e2
| op(e0,e0) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1035,plain,
( op(e3,e3) = e2
| epred22_0
| epred3_0
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_177,c_0_1020]) ).
cnf(c_0_1036,plain,
( op(e3,e3) = e2
| epred22_0
| op(op(e2,e1),op(e2,e1)) != e3
| op(e2,e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_1020]),c_0_1029]) ).
cnf(c_0_1037,plain,
( op(e3,e3) = e2
| op(e3,e1) = e0
| op(e2,e1) = e0
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1030,c_0_1031]) ).
cnf(c_0_1038,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e0,e0) = e3
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_451,c_0_965]) ).
cnf(c_0_1039,plain,
( op(e3,e3) = e2
| op(e1,e2) = e3
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_1032]),c_0_1031]) ).
cnf(c_0_1040,plain,
( op(e3,e3) = e2
| op(e1,e3) = e1
| op(e1,e0) = e1
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_1020]),c_0_116]),c_0_1026]) ).
cnf(c_0_1041,plain,
( op(e3,e3) = e2
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| epred22_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_778,c_0_1020]),c_0_203]),c_0_1033]) ).
cnf(c_0_1042,plain,
( epred3_0
| op(e0,e0) != e2
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_1034]) ).
cnf(c_0_1043,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1035,c_0_962]) ).
cnf(c_0_1044,plain,
( op(e3,e1) = e0
| op(e3,e3) = e2
| epred22_0
| epred3_0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_1036,c_0_1037]) ).
cnf(c_0_1045,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1038,c_0_1039]) ).
cnf(c_0_1046,plain,
( op(e1,e1) = e3
| op(e0,e0) = e2
| epred22_0
| op(e1,e3) != e1
| op(e0,e2) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_1047,plain,
( op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e3) = e1
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1040,c_0_1041]),c_0_101]) ).
cnf(c_0_1048,plain,
( op(e3,op(e3,e1)) = e1
| op(e2,op(e2,e0)) = e0
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_1049,plain,
( op(e3,e3) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_1043]),c_0_1014]) ).
cnf(c_0_1050,plain,
( epred22_0
| epred3_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_374,c_0_1031]) ).
cnf(c_0_1051,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e3,e3) = e2
| op(e3,e1) = e0
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1044,c_0_1045]) ).
cnf(c_0_1052,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_461]),c_0_165]) ).
cnf(c_0_1053,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_461]),c_0_439]) ).
cnf(c_0_1054,plain,
( op(e1,e1) = e3
| op(e0,e0) = e2
| epred22_0
| epred3_0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_1046,c_0_1031]) ).
cnf(c_0_1055,plain,
( op(e1,e3) = e1
| op(e1,e3) = e0
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1039,c_0_1047]),c_0_217]) ).
cnf(c_0_1056,plain,
( op(e3,op(e3,e1)) = e1
| op(e3,e0) = e2
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1048,c_0_1049]),c_0_1050]) ).
cnf(c_0_1057,plain,
( op(e3,e1) = e0
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1049,c_0_1051]),c_0_439]) ).
cnf(c_0_1058,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e0,e2) = e2
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_465]),c_0_116]) ).
cnf(c_0_1059,plain,
( op(e2,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e3
| op(e3,e2) = e3
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1052,c_0_1031]),c_0_217]),c_0_101]) ).
cnf(c_0_1060,plain,
( op(e2,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e3
| op(e3,e2) = e3
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1053,c_0_1031]),c_0_217]),c_0_203]) ).
cnf(c_0_1061,plain,
( op(e3,e3) = e2
| op(e1,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e3
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1054,c_0_1055]) ).
cnf(c_0_1062,plain,
( op(e1,e3) = e1
| op(e3,e3) = e2
| epred22_0
| epred3_0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_128,c_0_1040]) ).
cnf(c_0_1063,plain,
( op(e3,e0) = e3
| op(e3,e3) = e2
| op(e3,e0) = e2
| op(e3,e0) = e1
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1056,c_0_1057]) ).
cnf(c_0_1064,plain,
( op(e3,e3) = e2
| epred22_0
| epred3_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_208,c_0_1020]) ).
cnf(c_0_1065,plain,
( op(e3,op(e3,e2)) = e2
| op(e0,e0) = e2
| epred22_0
| op(e0,e2) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_1066,plain,
( op(e2,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e2
| op(e3,e2) = e2
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1058,c_0_1031]),c_0_203]),c_0_101]) ).
cnf(c_0_1067,plain,
( op(e2,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e1
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1059,c_0_1060]),c_0_116]),c_0_439]) ).
cnf(c_0_1068,plain,
( op(e0,e0) = e2
| op(e1,e3) = e0
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1020,c_0_1061]),c_0_439]) ).
cnf(c_0_1069,plain,
( op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e3) = e2
| op(e1,e3) = e1
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1062,c_0_1063]) ).
cnf(c_0_1070,plain,
( op(e3,op(e3,e0)) = e0
| op(e0,e0) = e2
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_1031]) ).
cnf(c_0_1071,plain,
( op(e3,e2) = e2
| op(e3,e0) = e2
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1064,c_0_380]) ).
cnf(c_0_1072,plain,
( epred22_0
| epred3_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_251,c_0_1031]) ).
cnf(c_0_1073,plain,
( op(e3,op(e3,e2)) = e2
| op(e0,e0) = e2
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1065,c_0_1031]) ).
cnf(c_0_1074,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1066,c_0_1067]),c_0_165]),c_0_439]) ).
cnf(c_0_1075,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e3) = e2
| op(e0,e0) = e2
| epred22_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1068,c_0_1069]),c_0_101]) ).
cnf(c_0_1076,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e0,e0) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_1071]),c_0_1072]) ).
cnf(c_0_1077,plain,
( op(e3,e2) = e2
| op(e3,e2) = e3
| op(e0,e0) = e2
| op(e3,e1) = e2
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1073,c_0_1074]) ).
cnf(c_0_1078,plain,
( op(e3,e3) = e2
| op(e3,e0) = e2
| op(e3,e0) = e3
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_1075]),c_0_1014]) ).
cnf(c_0_1079,plain,
( op(e3,e2) = e2
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_1076]),c_0_1014]) ).
cnf(c_0_1080,plain,
( op(e3,e1) = e2
| op(e3,e2) = e3
| op(e3,e2) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_1077]),c_0_1014]) ).
cnf(c_0_1081,plain,
( op(e3,e0) = e3
| op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_1078]),c_0_1079]) ).
cnf(c_0_1082,plain,
( op(e3,e3) = e2
| op(e0,e0) = e2
| epred22_0
| epred3_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_206,c_0_1068]) ).
cnf(c_0_1083,plain,
( op(e0,e0) = e0
| epred1_0
| op(e0,e0) != e1
| op(e0,e0) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_1084,plain,
( op(e1,e1) = e2
| epred3_0
| op(e3,e2) != e3
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1085,plain,
( op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| op(e3,e2) != e3
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1086,plain,
( op(e3,e2) = e2
| op(e3,e2) = e3
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_1080]),c_0_1079]) ).
cnf(c_0_1087,plain,
( op(e3,e3) = e2
| op(e0,e0) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_1081]),c_0_1082]) ).
cnf(c_0_1088,plain,
( epred1_0
| op(e0,e0) != e1
| op(e0,e0) != e1
| op(e0,e0) != e0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_1089,plain,
( op(e0,e0) = e0
| epred1_0
| op(e0,e0) != e1
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_1083]) ).
cnf(c_0_1090,plain,
( op(e2,e2) = e2
| epred3_0
| op(e3,e2) != e3
| op(e1,e2) != e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1091,plain,
( epred3_0
| op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e2) != e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1092,plain,
( op(e1,e1) = e2
| epred3_0
| op(e3,e2) != e3
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_1084,c_0_1085]) ).
cnf(c_0_1093,plain,
( op(e3,e2) = e3
| epred22_0
| epred3_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_834,c_0_1086]) ).
cnf(c_0_1094,plain,
( op(e3,e3) = e2
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_1087]),c_0_1014]) ).
cnf(c_0_1095,plain,
( epred1_0
| op(e0,e0) != e0
| op(e0,e0) != e1
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_1088]) ).
cnf(c_0_1096,plain,
( op(e0,e0) = e0
| op(e0,e0) != e1
| ~ epred2_0 ),
inference(sr,[status(thm)],[c_0_1089,c_0_1004]) ).
cnf(c_0_1097,plain,
( epred3_0
| op(e1,e2) != e1
| op(e3,e2) != e3
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_1090,c_0_1091]) ).
cnf(c_0_1098,plain,
( op(e1,e1) = e2
| epred22_0
| epred3_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_1092,c_0_1014]) ).
cnf(c_0_1099,plain,
( op(e3,e2) = e3
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1093,c_0_1094]) ).
cnf(c_0_1100,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e0
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_1101,plain,
( op(e0,e0) != e1
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1095,c_0_1004]),c_0_1096]) ).
cnf(c_0_1102,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| epred3_0
| op(e3,e2) != e3
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_1097,c_0_799]) ).
cnf(c_0_1103,plain,
( op(e1,e1) = e2
| epred22_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_1098,c_0_1099]) ).
cnf(c_0_1104,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| epred1_0
| op(e1,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_1105,plain,
( op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1100,c_0_1004]),c_0_1101]) ).
cnf(c_0_1106,plain,
( op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3
| epred22_0
| epred3_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_1102,c_0_1014]) ).
cnf(c_0_1107,plain,
( epred22_0
| epred3_0
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_174,c_0_1103]) ).
cnf(c_0_1108,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| epred2_0
| op(e0,e0) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1109,plain,
( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1110,plain,
( op(e0,e0) = e0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1104,c_0_1004]),c_0_1105]),c_0_1101]) ).
cnf(c_0_1111,plain,
( op(e1,e2) = e3
| op(e1,e2) = e0
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1106,c_0_1099]),c_0_1107]) ).
cnf(c_0_1112,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_1108,c_0_1109]) ).
cnf(c_0_1113,plain,
~ epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_1017]),c_0_1110]) ).
cnf(c_0_1114,plain,
( op(e1,e2) = e3
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_1111]),c_0_1031]) ).
cnf(c_0_1115,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_1116,plain,
( op(e2,e2) = e1
| op(e3,e3) = e1
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_1112,c_0_1113]) ).
cnf(c_0_1117,plain,
( epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_1114]),c_0_1099]) ).
cnf(c_0_1118,plain,
( op(e3,e3) = e1
| epred2_0
| op(e0,e0) != e2
| op(e2,e1) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1119,plain,
( op(e0,e0) = e2
| op(e3,e3) = e1
| epred2_0
| op(e2,e1) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1120,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_360,c_0_1115]) ).
cnf(c_0_1121,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1116,c_0_1117]) ).
cnf(c_0_1122,plain,
( op(e3,e3) = e1
| epred2_0
| op(e2,e1) != e2
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_1118,c_0_1119]) ).
cnf(c_0_1123,plain,
( op(e3,e3) = e1
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1120,c_0_1121]) ).
cnf(c_0_1124,plain,
( epred2_0
| op(e0,e0) != e2
| op(e0,e0) != e1
| op(e0,e0) != e1
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1125,plain,
( op(e0,e0) = e2
| epred2_0
| op(e0,e0) != e1
| op(e0,e0) != e1
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1126,plain,
( op(e3,e3) = e1
| op(e2,e1) != e2
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_1122,c_0_1113]) ).
cnf(c_0_1127,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e3,e3) = e1
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1029,c_0_1123]),c_0_1117]) ).
cnf(c_0_1128,plain,
( epred2_0
| op(e0,e0) != e1
| op(e0,e0) != e2
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_1124]) ).
cnf(c_0_1129,plain,
( op(e0,e0) = e2
| epred2_0
| op(e0,e0) != e1
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_1125]) ).
cnf(c_0_1130,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_1131,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_467,c_0_134]) ).
cnf(c_0_1132,plain,
( op(e2,e1) = e3
| op(e3,e3) = e1
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1126,c_0_1127]),c_0_1117]) ).
cnf(c_0_1133,plain,
( op(e0,e0) != e1
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1128,c_0_1129]),c_0_1101]) ).
cnf(c_0_1134,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1130,c_0_550]),c_0_101]) ).
cnf(c_0_1135,plain,
( op(e0,e0) != e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_1021]) ).
cnf(c_0_1136,plain,
( op(e3,e3) = e1
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1131,c_0_1121]) ).
cnf(c_0_1137,plain,
( op(e3,e3) = e1
| epred22_0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_485,c_0_1132]) ).
cnf(c_0_1138,plain,
( op(e3,e3) = e1
| epred22_0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_717,c_0_1121]) ).
cnf(c_0_1139,plain,
( op(e3,e3) = e1
| epred22_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_272,c_0_1132]) ).
cnf(c_0_1140,plain,
( op(e2,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e1
| op(e3,e0) = e1
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1133,c_0_1134]),c_0_1135]) ).
cnf(c_0_1141,plain,
( op(e2,e0) = e2
| op(e3,e3) = e1
| epred22_0
| op(e2,e3) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_1136]),c_0_1137]) ).
cnf(c_0_1142,plain,
( op(e2,e3) = e2
| op(e2,e3) = e0
| op(e3,e3) = e1
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1138,c_0_721]),c_0_1139]) ).
cnf(c_0_1143,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_1144,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e0
| op(e2,e0) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1140,c_0_1117]) ).
cnf(c_0_1145,plain,
( op(e2,e3) = e2
| op(e3,e3) = e1
| op(e2,e0) = e2
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1141,c_0_1142]) ).
cnf(c_0_1146,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1143]),c_0_101]),c_0_1133]) ).
cnf(c_0_1147,plain,
( op(e3,op(e3,e0)) = e0
| op(e2,op(e2,e1)) = e1
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_1148,plain,
( op(e3,e3) = e1
| op(e2,e3) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1
| epred22_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1144,c_0_1145]),c_0_116]),c_0_203]) ).
cnf(c_0_1149,plain,
( op(e3,e3) = e1
| epred22_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_360,c_0_1132]) ).
cnf(c_0_1150,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1146,c_0_1117]) ).
cnf(c_0_1151,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_1029,c_0_243]) ).
cnf(c_0_1152,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_1153,plain,
( op(e3,op(e3,e0)) = e0
| op(e3,e3) = e1
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1147,c_0_1132]),c_0_1138]) ).
cnf(c_0_1154,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| op(e3,e3) = e1
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_1148]),c_0_1149]) ).
cnf(c_0_1155,plain,
( op(e0,e3) = e1
| epred22_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_374,c_0_1150]) ).
cnf(c_0_1156,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1151,c_0_1117]) ).
cnf(c_0_1157,plain,
( op(e3,e1) != e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_1152,c_0_1021]) ).
cnf(c_0_1158,plain,
( op(e3,e0) = e0
| op(e3,e3) = e1
| op(e3,e1) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1153,c_0_1154]) ).
cnf(c_0_1159,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1133,c_0_784]),c_0_1135]) ).
cnf(c_0_1160,plain,
( op(e2,e2) = e1
| epred2_0
| op(e0,e0) != e2
| op(e3,e1) != e3
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1161,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| epred2_0
| op(e3,e1) != e3
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1162,plain,
( op(e0,e0) = e2
| epred2_0
| op(e3,e1) != e3
| op(e2,e1) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1163,plain,
( epred2_0
| op(e0,e0) != e2
| op(e3,e1) != e3
| op(e2,e1) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1164,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_411,c_0_843]) ).
cnf(c_0_1165,plain,
( op(e3,e3) = e1
| op(e0,e3) = e1
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1155,c_0_1121]) ).
cnf(c_0_1166,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| epred22_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_140,c_0_1156]) ).
cnf(c_0_1167,plain,
( op(e3,e3) = e1
| op(e3,e0) = e0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1158]),c_0_1117]) ).
fof(c_0_1168,plain,
( e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax29]) ).
cnf(c_0_1169,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1033,c_0_1117]) ).
cnf(c_0_1170,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1159,c_0_1117]) ).
cnf(c_0_1171,plain,
( op(e2,e0) = e2
| op(e3,e3) = e1
| epred22_0
| op(e3,e0) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_1136]),c_0_1137]) ).
cnf(c_0_1172,plain,
( op(e2,e2) = e1
| epred2_0
| op(e3,e1) != e3
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_1160,c_0_1161]) ).
cnf(c_0_1173,plain,
( epred2_0
| op(e2,e1) != e2
| op(e3,e1) != e3
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_1162,c_0_1163]) ).
cnf(c_0_1174,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1165]),c_0_949]) ).
cnf(c_0_1175,plain,
( op(e3,e3) = e1
| op(e2,e2) = e0
| op(e2,e3) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1166,c_0_1167]) ).
cnf(c_0_1176,plain,
( e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_1168]) ).
cnf(c_0_1177,plain,
( op(e1,e2) = e0
| op(e1,e3) = e0
| epred22_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_128,c_0_1169]) ).
cnf(c_0_1178,plain,
( op(e0,e0) = e3
| epred22_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_123,c_0_1170]) ).
cnf(c_0_1179,plain,
( op(e3,e3) = e1
| op(e2,e0) = e2
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1171,c_0_1167]) ).
cnf(c_0_1180,plain,
( op(e2,e2) = e1
| op(e3,e1) != e3
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_1172,c_0_1113]) ).
cnf(c_0_1181,plain,
( op(e2,e1) != e2
| op(e3,e1) != e3
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_1173,c_0_1113]) ).
cnf(c_0_1182,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| epred22_0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_616,c_0_1174]) ).
cnf(c_0_1183,plain,
( op(e2,e3) = e0
| op(e3,e3) = e1
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1121,c_0_1175]),c_0_101]) ).
cnf(c_0_1184,plain,
( op(e3,e3) = e1
| epred22_0
| op(op(e1,e2),op(e1,e2)) != e3
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_1176,c_0_1121]) ).
cnf(c_0_1185,plain,
( op(e3,e3) = e1
| op(e1,e3) = e0
| op(e1,e2) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1177,c_0_1167]) ).
cnf(c_0_1186,plain,
( op(e3,e3) = e1
| op(e0,e0) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1178,c_0_1179]) ).
cnf(c_0_1187,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_1188,plain,
( op(e2,e1) = e3
| op(e3,e1) != e3
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1120,c_0_1180]),c_0_1029]),c_0_1181]) ).
cnf(c_0_1189,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_174,c_0_263]) ).
cnf(c_0_1190,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_1191,plain,
( op(e3,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1182,c_0_1183]) ).
cnf(c_0_1192,plain,
( op(e1,e3) = e0
| op(e3,e3) = e1
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1184,c_0_1185]),c_0_1186]) ).
cnf(c_0_1193,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1187,c_0_263]),c_0_165]) ).
cnf(c_0_1194,plain,
( op(e3,e1) != e3
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_1188]) ).
cnf(c_0_1195,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_263]),c_0_439]) ).
cnf(c_0_1196,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_1189,c_0_461]) ).
cnf(c_0_1197,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_1198,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_119,c_0_1190]) ).
cnf(c_0_1199,plain,
( op(e3,e3) = e1
| epred22_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1191,c_0_1192]),c_0_203]),c_0_217]) ).
cnf(c_0_1200,plain,
( op(e2,e1) = e1
| op(e3,e1) = e1
| op(e0,e1) = e3
| op(e2,e1) = e3
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1193]),c_0_101]),c_0_1194]) ).
cnf(c_0_1201,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2
| op(e0,e1) = e3
| op(e2,e1) = e3
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1195]),c_0_203]),c_0_1194]) ).
cnf(c_0_1202,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_168,c_0_131]) ).
cnf(c_0_1203,plain,
( op(e2,e1) = e3
| op(e0,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1196]),c_0_217]),c_0_1194]) ).
cnf(c_0_1204,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1197]),c_0_217]) ).
cnf(c_0_1205,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_1206,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1198,c_0_1199]) ).
cnf(c_0_1207,plain,
( op(e2,e1) = e3
| op(e0,e1) = e3
| op(e3,e1) = e1
| op(e2,e1) = e1
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1200,c_0_1117]) ).
cnf(c_0_1208,plain,
( op(e2,e1) = e3
| op(e0,e1) = e3
| op(e3,e1) = e2
| op(e2,e1) = e2
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1201,c_0_1117]) ).
cnf(c_0_1209,plain,
( op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1202,c_0_1199]) ).
cnf(c_0_1210,plain,
( op(e3,e3) = e1
| epred22_0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_214,c_0_1121]) ).
cnf(c_0_1211,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_834,c_0_823]) ).
cnf(c_0_1212,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| op(e2,e1) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1203,c_0_1117]) ).
fof(c_0_1213,plain,
( e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax23]) ).
cnf(c_0_1214,plain,
( op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1204,c_0_1117]) ).
cnf(c_0_1215,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e0) = e3
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_1194,c_0_867]) ).
cnf(c_0_1216,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e0) = e2
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_373,c_0_1205]) ).
cnf(c_0_1217,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1206]),c_0_1117]) ).
cnf(c_0_1218,plain,
( op(e2,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e3
| epred22_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1207]),c_0_217]),c_0_1117]) ).
cnf(c_0_1219,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e3
| epred22_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1208]),c_0_217]),c_0_1117]) ).
cnf(c_0_1220,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| epred22_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_223,c_0_1209]) ).
cnf(c_0_1221,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1210,c_0_823]),c_0_1211]) ).
cnf(c_0_1222,plain,
( op(e2,e1) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e0,e3) = e1
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1150,c_0_1212]),c_0_165]) ).
cnf(c_0_1223,plain,
( e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_1213]) ).
cnf(c_0_1224,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_1225,plain,
( op(e0,e3) != e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_932,c_0_1021]) ).
cnf(c_0_1226,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| epred22_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_121,c_0_1214]) ).
cnf(c_0_1227,plain,
( op(e3,e0) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1215,c_0_1117]) ).
cnf(c_0_1228,plain,
( op(e3,e1) = e3
| op(e2,e0) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1216,c_0_1217]) ).
cnf(c_0_1229,plain,
( op(e2,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| epred22_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1218,c_0_1219]),c_0_116]),c_0_439]) ).
cnf(c_0_1230,plain,
( op(e3,e1) = e3
| epred22_0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_122,c_0_1217]) ).
cnf(c_0_1231,plain,
( op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e0) = e2
| op(e3,e0) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1220,c_0_1221]) ).
cnf(c_0_1232,plain,
( op(e3,e1) = e3
| epred22_0
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_90,c_0_1217]) ).
cnf(c_0_1233,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1222]),c_0_1132]) ).
cnf(c_0_1234,plain,
( epred22_0
| op(op(e1,e3),op(e1,e3)) != e2
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_1223,c_0_1199]) ).
cnf(c_0_1235,plain,
( epred22_0
| op(e0,e3) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1224,c_0_1031]),c_0_1225]) ).
cnf(c_0_1236,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1226,c_0_1227]) ).
cnf(c_0_1237,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e3,e1) = e3
| op(e0,e0) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1178,c_0_1228]) ).
cnf(c_0_1238,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| epred22_0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_373,c_0_1229]) ).
cnf(c_0_1239,plain,
( op(e3,e0) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1230,c_0_1231]),c_0_1232]) ).
cnf(c_0_1240,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e2,e3) = e1
| epred22_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_1233]) ).
cnf(c_0_1241,plain,
( op(e2,e2) = e3
| op(e3,e2) = e3
| epred22_0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_373,c_0_1233]) ).
cnf(c_0_1242,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| epred22_0
| op(e0,e0) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1234,c_0_577]),c_0_1235]) ).
cnf(c_0_1243,plain,
( op(e0,e3) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e0,e3) = e1
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1150,c_0_1236]),c_0_165]) ).
cnf(c_0_1244,plain,
( op(e3,e1) = e3
| op(e2,e2) = e2
| op(e2,e3) = e2
| epred22_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_121,c_0_1237]) ).
cnf(c_0_1245,plain,
( op(e3,e2) = e3
| op(e3,e0) = e3
| epred22_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1238,c_0_1239]),c_0_165]),c_0_439]) ).
cnf(c_0_1246,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_735,c_0_721]) ).
cnf(c_0_1247,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| epred22_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_360,c_0_1229]) ).
cnf(c_0_1248,plain,
( op(e2,e3) = e1
| op(e3,e2) = e3
| op(e2,e2) = e3
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1240,c_0_1199]),c_0_1241]) ).
cnf(c_0_1249,plain,
( op(e0,e0) = e3
| op(e2,e3) = e0
| op(e3,e3) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1242,c_0_1170]) ).
cnf(c_0_1250,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e0,e3) = e3
| epred22_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_124,c_0_1243]) ).
cnf(c_0_1251,plain,
( op(e3,e2) = e3
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e3,e1) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1244,c_0_1245]) ).
cnf(c_0_1252,plain,
( op(e2,e3) = e0
| op(e2,e3) = e2
| op(e2,e3) = e3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1246,c_0_1199]) ).
cnf(c_0_1253,plain,
( op(e3,e2) = e3
| op(e2,e3) = e1
| op(e3,e1) = e2
| op(e3,e1) = e1
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1247,c_0_1248]) ).
cnf(c_0_1254,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| epred22_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_589,c_0_1249]) ).
cnf(c_0_1255,plain,
( op(e0,e3) = e3
| op(e3,e2) = e3
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1199]),c_0_165]) ).
cnf(c_0_1256,plain,
( op(e2,e3) = e1
| op(e3,e1) = e3
| op(e2,e3) = e2
| op(e3,e2) = e3
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1251,c_0_1248]),c_0_439]) ).
cnf(c_0_1257,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e2) = e3
| epred22_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1252,c_0_1253]),c_0_101]),c_0_116]),c_0_165]) ).
cnf(c_0_1258,plain,
( op(e3,e2) = e3
| op(e2,e3) = e0
| op(e3,e3) = e0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_1254,c_0_1255]) ).
cnf(c_0_1259,plain,
( op(e3,e2) = e3
| op(e2,e3) = e2
| op(e3,e1) = e3
| epred22_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1252,c_0_1256]),c_0_101]),c_0_116]),c_0_165]) ).
cnf(c_0_1260,plain,
( op(e3,e2) = e3
| op(e3,e1) = e2
| epred22_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1217,c_0_1257]),c_0_165]),c_0_116]) ).
cnf(c_0_1261,plain,
( op(e3,e1) = e3
| op(e3,e3) = e0
| op(e3,e2) = e3
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1258,c_0_1259]),c_0_203]) ).
cnf(c_0_1262,plain,
( op(e3,e2) = e3
| op(e2,e1) = e0
| op(e2,e1) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1120,c_0_64]),c_0_65]) ).
cnf(c_0_1263,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_607,c_0_799]) ).
cnf(c_0_1264,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_374,c_0_369]) ).
cnf(c_0_1265,plain,
( op(e3,e3) = e0
| op(e3,e2) = e3
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1260,c_0_1261]),c_0_439]) ).
cnf(c_0_1266,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred19_0
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_1267,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| epred19_0
| op(e1,e2) != e1
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_1268,plain,
( op(e2,e1) = e3
| op(e3,e2) = e3
| epred18_0
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_485,c_0_1262]) ).
cnf(c_0_1269,plain,
( op(e3,e2) = e3
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1131,c_0_64]) ).
cnf(c_0_1270,plain,
( op(e3,e2) = e3
| epred18_0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_717,c_0_64]) ).
cnf(c_0_1271,plain,
( op(e3,e2) = e3
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1263,c_0_64]) ).
cnf(c_0_1272,plain,
( op(e3,e2) = e3
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1264,c_0_64]) ).
cnf(c_0_1273,plain,
( op(e3,e2) = e3
| epred18_0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_214,c_0_64]) ).
cnf(c_0_1274,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_1275,plain,
( epred22_0
=> ( ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 ) )
| ( op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_31]) ).
cnf(c_0_1276,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| epred22_0 ),
inference(spm,[status(thm)],[c_0_78,c_0_1265]) ).
cnf(c_0_1277,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| epred19_0
| op(e2,e2) != e2
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_1278,plain,
( op(e2,e2) = e2
| op(e1,e1) = e2
| epred19_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1266,c_0_53])]),c_0_77]) ).
cnf(c_0_1279,plain,
( epred19_0
| op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e2) != e1
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_1280,plain,
( op(e2,e2) = e2
| epred19_0
| op(e1,e2) != e1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1267,c_0_53])]),c_0_77]) ).
cnf(c_0_1281,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e3,e2) = e3
| op(e2,e1) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1268,c_0_1269]) ).
cnf(c_0_1282,plain,
( op(e2,e1) = e3
| op(e3,e2) = e3
| epred18_0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_272,c_0_1262]) ).
cnf(c_0_1283,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e0
| op(e3,e2) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1270,c_0_721]) ).
fof(c_0_1284,plain,
( e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax8]) ).
cnf(c_0_1285,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e3,e2) = e3
| epred18_0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_678,c_0_1271]) ).
cnf(c_0_1286,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e3,e2) = e3
| epred18_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_251,c_0_1272]) ).
cnf(c_0_1287,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e0
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1273,c_0_823]),c_0_165]) ).
cnf(c_0_1288,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e0) = e0
| op(e3,e2) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_213]),c_0_217]) ).
cnf(c_0_1289,plain,
( op(e3,e0) = e1
| op(e3,e2) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1274]),c_0_165]),c_0_58]),c_0_1273]) ).
fof(c_0_1290,plain,
( ( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 )
& ( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 )
& ( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 )
& ( op(e1,op(e1,e0)) = e0
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e0,e0) != e0
| op(e0,e0) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e0)) = e0
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e1,e0) != e1
| op(e1,e1) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e0)) = e0
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e2,e0) != e2
| op(e2,e2) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e0)) = e0
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e1)) = e1
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e2)) = e2
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 )
& ( op(e1,op(e1,e3)) = e3
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1
| op(e3,e0) != e3
| op(e3,e3) = e0
| ~ epred22_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1275])]) ).
cnf(c_0_1291,plain,
( op(e3,e3) = e2
| epred22_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1199,c_0_1276]),c_0_101]) ).
cnf(c_0_1292,plain,
( op(e1,e1) = e2
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1277,c_0_53])]),c_0_1278]),c_0_77]) ).
cnf(c_0_1293,plain,
( epred19_0
| op(e1,e2) != e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1279,c_0_53])]),c_0_55]),c_0_1280]) ).
cnf(c_0_1294,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_208,c_0_572]) ).
cnf(c_0_1295,plain,
( op(e3,e2) = e3
| op(e2,e0) = e2
| op(e2,e0) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_1281]),c_0_71]) ).
cnf(c_0_1296,plain,
( op(e2,e3) = e2
| op(e2,e3) = e3
| op(e3,e2) = e3
| op(e2,e1) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1282,c_0_1283]) ).
cnf(c_0_1297,plain,
( e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_1284]) ).
cnf(c_0_1298,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e3,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1285,c_0_1272]) ).
cnf(c_0_1299,plain,
( op(e3,e2) = e2
| op(e3,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1286,c_0_1287]),c_0_217]) ).
cnf(c_0_1300,plain,
( op(e3,e2) = e3
| op(e3,e2) = e0
| op(e3,e3) = e0
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1288,c_0_1289]),c_0_101]) ).
cnf(c_0_1301,plain,
( op(e1,op(e1,e0)) = e0
| op(e1,e1) = e0
| op(e1,e0) != e1
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1302,plain,
epred22_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1199,c_0_1291]),c_0_116]) ).
cnf(c_0_1303,plain,
( op(e1,e3) = e1
| op(e1,e0) = e1
| epred19_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_191]),c_0_116]),c_0_1293]) ).
cnf(c_0_1304,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| epred19_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_572]),c_0_439]) ).
cnf(c_0_1305,plain,
( op(e3,e2) = e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1294,c_0_71]) ).
cnf(c_0_1306,plain,
( op(e2,e0) = e3
| op(e3,e2) = e3
| epred18_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_710,c_0_1295]) ).
cnf(c_0_1307,plain,
( op(e3,e2) = e3
| op(e2,e3) = e3
| op(e2,e3) = e2
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_1296]),c_0_71]) ).
cnf(c_0_1308,plain,
( op(e3,e2) = e3
| epred18_0
| op(op(e1,e2),op(e1,e2)) != e0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_1297,c_0_64]) ).
cnf(c_0_1309,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_1298]),c_0_1299]) ).
cnf(c_0_1310,plain,
( op(e3,e3) = e0
| op(e3,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1286,c_0_1300]),c_0_217]) ).
cnf(c_0_1311,plain,
( op(e1,op(e1,e0)) = e0
| op(e1,e1) = e0
| op(e1,e0) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1301,c_0_1302])]) ).
cnf(c_0_1312,plain,
( op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e3) = e1
| epred19_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1303,c_0_1304]),c_0_165]) ).
cnf(c_0_1313,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| epred18_0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_146,c_0_1305]) ).
cnf(c_0_1314,plain,
( op(e2,e3) = e3
| op(e3,e2) = e3
| op(e2,e0) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1306,c_0_1307]) ).
cnf(c_0_1315,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e3,e2) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1308,c_0_1309]),c_0_1310]) ).
cnf(c_0_1316,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2
| op(e3,e2) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_380]),c_0_439]) ).
cnf(c_0_1317,plain,
( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1318,plain,
( op(e1,e3) = e1
| op(e1,e1) = e0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_1311,c_0_1303]) ).
cnf(c_0_1319,plain,
( op(e1,e3) = e1
| op(e1,e3) = e3
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_1312]),c_0_55]) ).
cnf(c_0_1320,plain,
( op(e2,e3) = e3
| op(e3,e2) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1313,c_0_1314]) ).
cnf(c_0_1321,plain,
( op(e3,e2) = e3
| op(e0,e2) = e3
| epred18_0
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_251,c_0_1315]) ).
cnf(c_0_1322,plain,
( op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e2) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1289,c_0_1316]),c_0_116]) ).
cnf(c_0_1323,plain,
( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e1)) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1317,c_0_1302])]) ).
cnf(c_0_1324,plain,
( op(e1,e3) = e1
| epred19_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_1318]),c_0_203]) ).
cnf(c_0_1325,plain,
( op(e1,e3) = e3
| epred19_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_1319]) ).
cnf(c_0_1326,plain,
( epred19_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_834,c_0_55]) ).
cnf(c_0_1327,plain,
( op(e3,e3) = e1
| op(e0,op(e0,e3)) = e3
| op(e3,e1) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1328,plain,
( op(e1,e3) = e3
| op(e3,e2) = e3
| op(e2,e3) = e3
| epred18_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_678,c_0_1320]) ).
cnf(c_0_1329,plain,
( op(e3,e2) = e3
| op(e3,e3) = e2
| op(e0,e2) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1321,c_0_1322]),c_0_439]) ).
cnf(c_0_1330,plain,
( op(e2,e3) = e3
| op(e3,e2) = e3
| epred18_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_735,c_0_1307]) ).
cnf(c_0_1331,plain,
( op(e0,op(e0,e1)) = e1
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1323,c_0_1292]),c_0_1293]) ).
cnf(c_0_1332,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| epred19_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_263]),c_0_439]) ).
cnf(c_0_1333,plain,
( epred19_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_411,c_0_1324]) ).
cnf(c_0_1334,plain,
( op(e3,e3) = e0
| op(e1,e3) = e3
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1325,c_0_118]),c_0_1326]),c_0_77]) ).
cnf(c_0_1335,plain,
( op(e0,op(e0,e3)) = e3
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1327,c_0_1302])]) ).
cnf(c_0_1336,plain,
( op(e2,e3) = e3
| op(e3,e2) = e3
| op(e1,e3) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1328,c_0_1329]),c_0_1330]) ).
cnf(c_0_1337,plain,
( epred19_0
| op(op(e2,e1),op(e2,e1)) != e0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_826,c_0_1292]) ).
cnf(c_0_1338,plain,
( op(e2,e1) = e3
| op(e3,e1) = e3
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1331,c_0_1332]),c_0_1333]) ).
cnf(c_0_1339,plain,
( op(e3,e3) = e0
| epred19_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1324]),c_0_165]) ).
cnf(c_0_1340,plain,
( op(e3,e3) = e1
| op(e2,e2) = e0
| op(e3,e1) != e3
| op(e2,e0) != e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1341,plain,
( op(e0,op(e0,e3)) = e3
| op(e3,e2) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1335,c_0_71]),c_0_58]) ).
cnf(c_0_1342,plain,
( op(e3,e2) = e3
| op(e2,e3) = e3
| op(e0,e3) = e1
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_1336]),c_0_165]),c_0_58]),c_0_1270]) ).
cnf(c_0_1343,plain,
( op(e0,e0) = e2
| op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_1344,plain,
( op(e3,e1) = e3
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_1338]),c_0_1339]) ).
cnf(c_0_1345,plain,
( op(e0,e0) = e1
| op(e0,op(e0,e1)) = e1
| op(e0,e1) != e0
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1346,plain,
( op(e3,e1) = e3
| op(e3,e1) = e3
| epred18_0
| op(e0,e2) != e0
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_1347,plain,
( op(e3,e3) = e1
| op(e2,e2) = e0
| op(e2,e0) != e2
| op(e3,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1340,c_0_1302])]) ).
cnf(c_0_1348,plain,
( op(e2,e3) = e3
| op(e3,e2) = e3
| op(e0,e1) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1341,c_0_1342]) ).
cnf(c_0_1349,plain,
( op(e0,e0) = e2
| op(e3,e1) = e3
| epred18_0
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_1343]) ).
cnf(c_0_1350,plain,
epred19_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1344]),c_0_55]) ).
cnf(c_0_1351,plain,
( op(e0,op(e0,e1)) = e1
| op(e0,e0) = e1
| op(e0,e1) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1345,c_0_1302])]) ).
cnf(c_0_1352,plain,
( op(e3,e1) = e3
| epred18_0
| op(e0,e2) != e0
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_1346]) ).
cnf(c_0_1353,plain,
( op(e2,e0) = e3
| op(e3,e2) = e3
| op(e2,e2) = e0
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_1295]),c_0_71]),c_0_58]) ).
cnf(c_0_1354,plain,
( op(e3,e2) = e3
| op(e2,e3) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1152,c_0_1348]),c_0_71]) ).
cnf(c_0_1355,plain,
( op(e3,e1) = e3
| op(e0,e0) = e2
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1349,c_0_1350])]) ).
cnf(c_0_1356,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_1351,c_0_93]) ).
cnf(c_0_1357,plain,
( op(e3,e1) = e3
| epred18_0
| op(e0,e2) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1352,c_0_1350])]) ).
cnf(c_0_1358,plain,
( op(e2,e2) = e0
| op(e3,e2) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_1353]),c_0_1354]) ).
cnf(c_0_1359,plain,
( op(e0,e0) = e0
| op(e0,e3) = e0
| op(e3,e1) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1355,c_0_1356]),c_0_116]),c_0_1357]) ).
cnf(c_0_1360,plain,
( op(e3,e2) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_1358]),c_0_101]) ).
cnf(c_0_1361,plain,
( op(e0,e0) = e2
| epred18_0
| op(e3,e3) != e1
| op(e3,e3) != e1
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_1362,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e0,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_257]),c_0_165]) ).
cnf(c_0_1363,plain,
( op(e0,e3) = e0
| op(e3,e1) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1355,c_0_1359]),c_0_203]) ).
cnf(c_0_1364,plain,
( epred18_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_834,c_0_1360]) ).
cnf(c_0_1365,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e0,e3) = e3
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_257]),c_0_439]) ).
cnf(c_0_1366,plain,
( op(e0,e0) = e2
| epred18_0
| op(e3,e3) != e1
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_1361]) ).
cnf(c_0_1367,plain,
( op(e3,e2) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| epred18_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_1322]),c_0_439]),c_0_203]) ).
cnf(c_0_1368,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e0,e3) = e2
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_801]),c_0_116]) ).
cnf(c_0_1369,plain,
( op(e3,e1) = e3
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1362,c_0_1363]),c_0_217]),c_0_101]),c_0_1364]) ).
cnf(c_0_1370,plain,
( op(e3,e1) = e3
| op(e2,e3) = e2
| op(e2,e3) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_1363]),c_0_217]),c_0_203]),c_0_84]),c_0_1364]) ).
cnf(c_0_1371,plain,
( epred18_0
| op(e0,e2) != e0
| op(e3,e3) != e1
| op(e3,e3) != e1
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_1372,plain,
( op(e0,e0) = e2
| epred18_0
| op(e3,e3) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1366,c_0_1350])]) ).
cnf(c_0_1373,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| epred18_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_834,c_0_1367]) ).
cnf(c_0_1374,plain,
( epred18_0
| op(e3,e3) != e2
| op(e3,e3) != e1
| op(e3,e3) != e1
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_1375,plain,
( op(e3,e1) = e3
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e2
| epred18_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_1363]),c_0_203]),c_0_101]),c_0_84]) ).
cnf(c_0_1376,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| op(e3,e1) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1369,c_0_1370]),c_0_116]),c_0_439]) ).
cnf(c_0_1377,plain,
( epred18_0
| op(e0,e2) != e0
| op(e3,e3) != e1
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_1371]) ).
cnf(c_0_1378,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| op(e0,e0) = e2
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1372,c_0_118]),c_0_1373]) ).
cnf(c_0_1379,plain,
( epred18_0
| op(e3,e3) != e1
| op(e3,e3) != e2
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_1374]) ).
cnf(c_0_1380,plain,
( op(e3,e3) = e1
| op(e3,e1) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1375,c_0_1376]),c_0_165]),c_0_439]) ).
cnf(c_0_1381,plain,
( epred18_0
| op(e0,e2) != e0
| op(e3,e3) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1377,c_0_1350])]) ).
cnf(c_0_1382,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| op(e0,e2) = e0
| op(e0,e3) = e0
| epred18_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1356,c_0_1378]),c_0_203]),c_0_116]) ).
cnf(c_0_1383,plain,
( epred18_0
| op(e3,e3) != e1
| op(e3,e3) != e2 ),
inference(csr,[status(thm)],[c_0_1379,c_0_77]) ).
cnf(c_0_1384,plain,
( op(e3,e3) = e1
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1380]),c_0_1360]) ).
cnf(c_0_1385,plain,
( op(e0,e3) = e0
| op(e3,e3) = e0
| epred18_0
| op(e3,e3) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1381,c_0_1382]),c_0_1383]) ).
cnf(c_0_1386,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1387,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_949,c_0_1384]) ).
cnf(c_0_1388,plain,
( op(e0,e3) = e0
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1385,c_0_1384]),c_0_101]) ).
cnf(c_0_1389,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e3)) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1386,c_0_1302])]) ).
cnf(c_0_1390,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_1387]),c_0_1388]) ).
cnf(c_0_1391,plain,
( op(e0,op(e0,e3)) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1389,c_0_1390]) ).
cnf(c_0_1392,plain,
( op(e1,e2) = e3
| op(e1,e3) = e3
| op(e0,e0) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1391,c_0_1388]) ).
fof(c_0_1393,plain,
( e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax12]) ).
cnf(c_0_1394,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e0,e0) = e3
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_549,c_0_965]) ).
cnf(c_0_1395,plain,
( op(e0,e0) = e3
| op(e1,e3) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_1392]),c_0_1360]) ).
cnf(c_0_1396,plain,
( e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_1393]) ).
cnf(c_0_1397,plain,
( op(e0,e0) = e2
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1372,c_0_1384]) ).
cnf(c_0_1398,plain,
( op(e0,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_1394,c_0_1395]) ).
cnf(c_0_1399,plain,
( epred18_0
| op(op(e2,e0),op(e2,e0)) != e1
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_1396,c_0_1397]) ).
cnf(c_0_1400,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| epred18_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1397,c_0_1398]),c_0_439]) ).
cnf(c_0_1401,plain,
( op(e3,e0) = e3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1399,c_0_1400]),c_0_1384]) ).
cnf(c_0_1402,plain,
( op(e3,e3) = e1
| op(e0,op(e0,e0)) = e0
| op(e3,e1) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1403,plain,
epred18_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_1401]),c_0_1360]) ).
cnf(c_0_1404,plain,
( op(e0,op(e0,e0)) = e0
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1402,c_0_1302])]) ).
cnf(c_0_1405,plain,
( op(e3,e1) = e3
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_1403])]) ).
cnf(c_0_1406,plain,
( epred17_0
| op(e3,e3) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_1403])]) ).
cnf(c_0_1407,plain,
( op(e0,op(e0,e0)) = e0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1404,c_0_1405]),c_0_1406]) ).
cnf(c_0_1408,plain,
( op(e0,e0) = e1
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_1403])]) ).
cnf(c_0_1409,plain,
( epred17_0
| op(e0,e1) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_1403])]) ).
cnf(c_0_1410,plain,
( op(e1,op(e1,e1)) = e1
| op(e3,e3) = e0
| op(e3,e0) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1411,plain,
epred17_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1407,c_0_1408]),c_0_1409]) ).
cnf(c_0_1412,plain,
( op(e1,op(e1,e1)) = e1
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1410,c_0_1302])]) ).
cnf(c_0_1413,plain,
( op(e3,e0) = e3
| epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_1411])]) ).
cnf(c_0_1414,plain,
( epred16_0
| op(e3,e3) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_1411])]) ).
cnf(c_0_1415,plain,
( op(e1,op(e1,e1)) = e1
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1412,c_0_1413]),c_0_1414]) ).
cnf(c_0_1416,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_1411])]) ).
cnf(c_0_1417,plain,
( op(e2,e2) = e0
| epred16_0
| op(e1,e0) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_1411])]) ).
cnf(c_0_1418,plain,
( op(e2,e2) = e0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1415,c_0_1416]),c_0_1417]) ).
cnf(c_0_1419,plain,
( op(e1,op(e1,e3)) = e3
| op(e3,e3) = e0
| op(e3,e0) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1420,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_1274]),c_0_101]) ).
cnf(c_0_1421,plain,
( epred16_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_214,c_0_1418]) ).
cnf(c_0_1422,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_380]),c_0_203]) ).
cnf(c_0_1423,plain,
( op(e1,op(e1,e2)) = e2
| op(e3,e3) = e0
| op(e3,e0) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1424,plain,
( op(e1,op(e1,e3)) = e3
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1419,c_0_1302])]) ).
cnf(c_0_1425,plain,
( op(e3,e2) = e1
| op(e3,e3) = e1
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1420,c_0_1413]),c_0_165]),c_0_217]),c_0_1421]),c_0_1414]) ).
cnf(c_0_1426,plain,
( op(e3,e2) = e2
| op(e3,e3) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1422,c_0_1413]),c_0_439]),c_0_217]),c_0_1421]),c_0_1414]) ).
cnf(c_0_1427,plain,
( op(e1,op(e1,e2)) = e2
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1423,c_0_1302])]) ).
cnf(c_0_1428,plain,
( op(e1,op(e1,e3)) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1424,c_0_1413]),c_0_1414]) ).
cnf(c_0_1429,plain,
( epred16_0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_717,c_0_1418]) ).
cnf(c_0_1430,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1425,c_0_1426]),c_0_116]) ).
cnf(c_0_1431,plain,
( op(e1,op(e1,e2)) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1427,c_0_1413]),c_0_1414]) ).
cnf(c_0_1432,plain,
( epred16_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_223,c_0_1413]) ).
cnf(c_0_1433,plain,
( op(e0,e3) = e0
| op(e1,e0) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_577]),c_0_1414]),c_0_1429]) ).
cnf(c_0_1434,plain,
( op(e3,e3) = e2
| epred16_0
| op(op(e1,e3),op(e1,e3)) != e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_694,c_0_1430]) ).
cnf(c_0_1435,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e1,e3) = e1
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1415,c_0_572]) ).
cnf(c_0_1436,plain,
( op(e2,e2) = e3
| op(e0,e2) = e3
| op(e1,e3) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1431,c_0_461]),c_0_1432]) ).
cnf(c_0_1437,plain,
( op(e0,e3) = e0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_1433]),c_0_1413]) ).
cnf(c_0_1438,plain,
( op(e2,e3) = e2
| op(e0,e3) = e2
| op(e3,e3) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_801]),c_0_1418]) ).
cnf(c_0_1439,plain,
( op(e1,e3) = e1
| op(e1,e2) = e3
| op(e1,e3) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_1435]),c_0_1413]) ).
cnf(c_0_1440,plain,
( op(e0,e2) = e3
| op(e2,e2) = e3
| epred16_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_616,c_0_1436]) ).
cnf(c_0_1441,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1437,c_0_1438]),c_0_203]) ).
cnf(c_0_1442,plain,
( op(e0,e2) = e3
| op(e2,e2) = e3
| epred16_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_206,c_0_1436]) ).
cnf(c_0_1443,plain,
( op(e1,e3) = e3
| op(e1,e3) = e1
| epred16_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_678,c_0_1439]) ).
cnf(c_0_1444,plain,
( op(e2,e2) = e3
| op(e0,e2) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1440,c_0_1441]),c_0_1442]) ).
cnf(c_0_1445,plain,
( op(e1,e3) = e3
| op(e1,e3) = e1
| epred16_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1439]) ).
cnf(c_0_1446,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_405,c_0_799]) ).
cnf(c_0_1447,plain,
( op(e1,e3) = e1
| op(e1,e3) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1443,c_0_1444]),c_0_1445]) ).
cnf(c_0_1448,plain,
( op(e2,e2) = e3
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e2
| op(e3,e2) = e2
| epred16_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1058,c_0_1444]),c_0_439]),c_0_165]) ).
cnf(c_0_1449,plain,
( epred16_0
| op(e3,e3) != e3 ),
inference(spm,[status(thm)],[c_0_168,c_0_1413]) ).
cnf(c_0_1450,plain,
( op(e3,e3) = e1
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1446,c_0_1425]) ).
cnf(c_0_1451,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_251,c_0_369]) ).
cnf(c_0_1452,plain,
( op(e1,e3) = e3
| op(e1,e1) = e3
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1428,c_0_1447]) ).
cnf(c_0_1453,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e1
| op(e2,e2) = e3
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1418,c_0_1448]),c_0_101]) ).
cnf(c_0_1454,plain,
( op(e1,e3) = e3
| epred16_0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_616,c_0_1447]) ).
cnf(c_0_1455,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1362,c_0_1437]),c_0_217]),c_0_101]),c_0_1449]) ).
cnf(c_0_1456,plain,
( op(e1,e3) = e3
| epred16_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_1447]) ).
cnf(c_0_1457,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e3,e3) = e1
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_1450]),c_0_1418]) ).
cnf(c_0_1458,plain,
( op(e3,e3) = e1
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1451,c_0_1425]) ).
fof(c_0_1459,plain,
( e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax14]) ).
cnf(c_0_1460,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_464,c_0_799]) ).
cnf(c_0_1461,plain,
( op(e1,e3) = e3
| epred16_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_174,c_0_1452]) ).
cnf(c_0_1462,plain,
( op(e2,e2) = e3
| op(e3,e2) = e1
| op(e3,e2) = e2
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1418,c_0_1453]),c_0_203]) ).
cnf(c_0_1463,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_553,c_0_263]) ).
cnf(c_0_1464,plain,
( op(e2,e3) = e3
| op(e1,e3) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1454,c_0_1455]),c_0_1456]) ).
cnf(c_0_1465,plain,
( op(e3,e3) = e1
| op(e1,e2) = e3
| epred16_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_678,c_0_1457]) ).
cnf(c_0_1466,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e3,e3) = e1
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1458]),c_0_1418]) ).
cnf(c_0_1467,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0
| op(e3,e1) != e3
| op(e3,e0) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1468,plain,
( e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_1459]) ).
cnf(c_0_1469,plain,
( op(e1,e3) = e3
| op(e1,e2) = e0
| op(e1,e2) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1460,c_0_1447]),c_0_1461]) ).
cnf(c_0_1470,plain,
( op(e3,e2) = e2
| op(e3,e2) = e1
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1418,c_0_1462]),c_0_217]) ).
cnf(c_0_1471,plain,
( op(e2,e3) = e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1463,c_0_1464]) ).
cnf(c_0_1472,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e3) = e1
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1465,c_0_1466]) ).
cnf(c_0_1473,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0
| op(e3,e0) != e3
| op(e3,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1467,c_0_1302])]) ).
cnf(c_0_1474,plain,
( epred16_0
| op(op(e0,e2),op(e0,e2)) != e1
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_1468,c_0_1418]) ).
cnf(c_0_1475,plain,
( op(e1,e2) = e2
| op(e1,e3) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_1469]),c_0_1418]) ).
cnf(c_0_1476,plain,
( op(e3,e2) = e2
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1451,c_0_1470]) ).
cnf(c_0_1477,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e2,e3) = e3
| epred16_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_362,c_0_1471]) ).
cnf(c_0_1478,plain,
( op(e3,e3) = e1
| op(e0,e2) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_1472]),c_0_1444]) ).
cnf(c_0_1479,plain,
( op(e3,e3) = e1
| epred16_0
| op(e3,e1) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1473,c_0_1413]),c_0_1414]) ).
cnf(c_0_1480,plain,
( op(e2,e2) = e3
| epred16_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_1474,c_0_1444]) ).
cnf(c_0_1481,plain,
( op(e1,e3) = e3
| epred16_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_678,c_0_1475]) ).
cnf(c_0_1482,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e3,e2) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1476]),c_0_1418]) ).
cnf(c_0_1483,plain,
( op(e1,e3) = e3
| epred16_0
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_405,c_0_1475]) ).
cnf(c_0_1484,plain,
( op(e3,e3) = e1
| op(e2,e3) = e3
| op(e2,e1) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1477,c_0_1478]),c_0_1479]) ).
fof(c_0_1485,plain,
( e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax11]) ).
cnf(c_0_1486,plain,
( op(e3,e3) = e2
| op(e2,e2) = e3
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1480,c_0_1430]) ).
cnf(c_0_1487,plain,
( op(e0,e2) = e3
| op(e1,e3) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1481,c_0_1482]),c_0_1483]) ).
cnf(c_0_1488,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_710,c_0_134]) ).
cnf(c_0_1489,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| epred16_0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_485,c_0_1484]) ).
cnf(c_0_1490,plain,
( e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_1485]) ).
cnf(c_0_1491,plain,
( op(e3,e3) = e2
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1418,c_0_1486]),c_0_217]) ).
cnf(c_0_1492,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e3,e3) != e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_1197]),c_0_217]) ).
cnf(c_0_1493,plain,
( op(e0,e2) = e3
| epred16_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_411,c_0_1487]) ).
cnf(c_0_1494,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| op(e2,e0) = e0
| op(e2,e0) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1488,c_0_1455]),c_0_1489]) ).
cnf(c_0_1495,plain,
( epred16_0
| op(op(e2,e3),op(e2,e3)) != e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_1490,c_0_1491]) ).
cnf(c_0_1496,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e0) = e3
| op(e0,e2) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1492,c_0_1491]),c_0_1493]) ).
cnf(c_0_1497,plain,
( op(e1,e3) = e3
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_1452]),c_0_217]) ).
cnf(c_0_1498,plain,
( op(e1,e1) = e0
| epred16_0
| op(e2,e0) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_1411])]) ).
cnf(c_0_1499,plain,
( op(e2,e0) = e2
| op(e3,e3) = e1
| op(e2,e3) = e3
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_1494]),c_0_1418]) ).
cnf(c_0_1500,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| epred16_0
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_1495,c_0_1455]) ).
cnf(c_0_1501,plain,
( op(e0,e2) = e3
| op(e2,e1) = e0
| op(e3,e1) = e0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_1496]),c_0_1413]) ).
cnf(c_0_1502,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| epred16_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_616,c_0_1497]) ).
cnf(c_0_1503,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1498,c_0_1499]),c_0_1500]) ).
cnf(c_0_1504,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| epred16_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_1474,c_0_1501]) ).
cnf(c_0_1505,plain,
( op(e1,op(e1,e0)) = e0
| op(e3,e3) = e0
| op(e3,e0) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1506,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1502,c_0_1503]),c_0_1504]) ).
cnf(c_0_1507,plain,
( op(e1,op(e1,e0)) = e0
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1505,c_0_1302])]) ).
cnf(c_0_1508,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_1506]),c_0_1437]) ).
cnf(c_0_1509,plain,
( op(e1,op(e1,e0)) = e0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1507,c_0_1413]),c_0_1414]) ).
cnf(c_0_1510,plain,
( op(e1,e3) = e3
| epred16_0
| op(op(e3,e1),op(e3,e1)) != e2
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_756,c_0_1452]) ).
cnf(c_0_1511,plain,
( op(e3,e1) = e0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_1508]),c_0_1418]) ).
cnf(c_0_1512,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| op(e1,e2) = e0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1509,c_0_962]) ).
cnf(c_0_1513,plain,
( op(e1,e3) = e3
| epred16_0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_1510,c_0_1511]) ).
cnf(c_0_1514,plain,
( op(e0,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_1512]),c_0_1418]) ).
cnf(c_0_1515,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e3) = e3
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1513,c_0_1514]) ).
cnf(c_0_1516,plain,
( op(e2,e0) = e2
| op(e3,e0) = e2
| epred16_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_616,c_0_1515]) ).
cnf(c_0_1517,plain,
( op(e3,e3) = e1
| op(e3,e0) = e2
| op(e2,e0) = e2
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1516,c_0_1503]) ).
cnf(c_0_1518,plain,
( op(e3,e0) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_1498,c_0_1517]) ).
cnf(c_0_1519,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_1520,plain,
( op(e3,e3) = e1
| op(e3,e0) = e2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1518]),c_0_1511]) ).
cnf(c_0_1521,plain,
( epred15_0
| op(e3,e3) != e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_1522,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| epred15_0
| op(e3,e3) != e3
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_1523,plain,
( op(e3,e3) = e3
| op(e1,e1) = e3
| epred15_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[c_0_1519,c_0_296]) ).
cnf(c_0_1524,plain,
( op(e3,e3) = e1
| epred16_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1413,c_0_1520]),c_0_439]) ).
cnf(c_0_1525,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| epred15_0
| op(e1,e3) != e1
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_1526,plain,
( epred15_0
| op(e1,e3) != e1
| op(e3,e3) != e3
| ~ epred16_0 ),
inference(csr,[status(thm)],[c_0_1521,c_0_285]) ).
cnf(c_0_1527,plain,
( op(e1,e1) = e3
| epred15_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1522,c_0_1523]),c_0_296]) ).
cnf(c_0_1528,plain,
epred16_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1491,c_0_1524]),c_0_116]) ).
cnf(c_0_1529,plain,
( epred15_0
| op(e1,e3) != e1
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1525,c_0_1526]),c_0_296]) ).
cnf(c_0_1530,plain,
( op(e1,e1) = e3
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1527,c_0_1528])]) ).
cnf(c_0_1531,plain,
( epred15_0
| op(e1,e3) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1529,c_0_1528])]) ).
cnf(c_0_1532,plain,
( op(e1,e2) = e1
| op(e1,e0) = e1
| epred15_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_1530]),c_0_165]),c_0_1531]) ).
cnf(c_0_1533,plain,
( op(e1,e2) = e1
| op(e1,e1) = e0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_1311,c_0_1532]) ).
cnf(c_0_1534,plain,
( op(e1,e2) = e1
| epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1530,c_0_1533]),c_0_217]) ).
fof(c_0_1535,plain,
( e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax7]) ).
cnf(c_0_1536,plain,
( op(e0,op(e0,e1)) = e1
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1323,c_0_1530]),c_0_1531]) ).
cnf(c_0_1537,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_1530]),c_0_439]) ).
cnf(c_0_1538,plain,
( epred15_0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_678,c_0_1534]) ).
cnf(c_0_1539,plain,
( e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_1535]) ).
cnf(c_0_1540,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1536,c_0_1537]),c_0_1538]) ).
cnf(c_0_1541,plain,
( op(e2,e3) = e2
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_1528])]) ).
cnf(c_0_1542,plain,
( epred15_0
| op(op(e3,e1),op(e3,e1)) != e0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_1539,c_0_1530]) ).
cnf(c_0_1543,plain,
( op(e3,e1) = e2
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_1540]),c_0_1541]) ).
cnf(c_0_1544,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_1263,c_0_359]) ).
cnf(c_0_1545,plain,
( epred15_0
| op(e2,e2) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_1528])]) ).
cnf(c_0_1546,plain,
( op(e0,e0) = e3
| epred14_0
| op(e2,e2) != e2
| op(e2,e2) != e2
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_1547,plain,
( op(e0,e0) = e3
| op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_1548,plain,
( epred15_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_1542,c_0_1543]) ).
cnf(c_0_1549,plain,
( op(e2,e2) = e0
| op(e2,e2) = e2
| epred15_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_1534]),c_0_101]),c_0_116]),c_0_165]),c_0_1545]) ).
cnf(c_0_1550,plain,
( epred14_0
| op(e0,e3) != e0
| op(e2,e2) != e2
| op(e2,e2) != e2
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_1551,plain,
( op(e2,e2) = e2
| op(e2,e2) = e2
| epred14_0
| op(e0,e3) != e0
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_1552,plain,
( op(e0,e0) = e3
| epred14_0
| op(e2,e2) != e2
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_1546]) ).
cnf(c_0_1553,plain,
( op(e0,e0) = e3
| op(e2,e2) = e2
| epred14_0
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_1547]) ).
cnf(c_0_1554,plain,
( op(e2,e2) = e2
| epred15_0 ),
inference(spm,[status(thm)],[c_0_1548,c_0_1549]) ).
cnf(c_0_1555,plain,
( epred14_0
| op(e0,e3) != e0
| op(e2,e2) != e2
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_1550]) ).
cnf(c_0_1556,plain,
( op(e2,e2) = e2
| epred14_0
| op(e0,e3) != e0
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_1551]) ).
cnf(c_0_1557,plain,
( op(e0,e0) = e3
| epred14_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[c_0_1552,c_0_1553]) ).
cnf(c_0_1558,plain,
epred15_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_1554]),c_0_1541]) ).
cnf(c_0_1559,plain,
( epred14_0
| op(e0,e3) != e0
| ~ epred15_0 ),
inference(csr,[status(thm)],[c_0_1555,c_0_1556]) ).
cnf(c_0_1560,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_451,c_0_962]) ).
cnf(c_0_1561,plain,
( op(e0,e0) = e3
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1557,c_0_1558])]) ).
cnf(c_0_1562,plain,
( epred14_0
| op(e0,e3) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1559,c_0_1558])]) ).
cnf(c_0_1563,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_1560,c_0_465]) ).
cnf(c_0_1564,plain,
( op(e0,e2) = e0
| epred14_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1356,c_0_1561]),c_0_217]),c_0_165]),c_0_1562]) ).
cnf(c_0_1565,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| epred14_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1563,c_0_1561]),c_0_439]) ).
fof(c_0_1566,plain,
( e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax13]) ).
cnf(c_0_1567,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| epred14_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1564,c_0_1565]),c_0_203]) ).
cnf(c_0_1568,plain,
( op(e2,e3) = e2
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_1558])]) ).
cnf(c_0_1569,plain,
( e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_1566]) ).
cnf(c_0_1570,plain,
( op(e3,e0) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_1567]),c_0_1568]) ).
cnf(c_0_1571,plain,
( epred14_0
| op(op(e3,e0),op(e3,e0)) != e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_1569,c_0_1561]) ).
cnf(c_0_1572,plain,
( op(e3,e2) = e2
| op(e3,e0) = e2
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_1570]),c_0_1568]) ).
cnf(c_0_1573,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_1311,c_0_550]) ).
cnf(c_0_1574,plain,
( epred14_0
| op(e2,e2) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_1558])]) ).
cnf(c_0_1575,plain,
( op(e3,e2) = e2
| epred14_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_1571,c_0_1572]) ).
cnf(c_0_1576,plain,
( op(e2,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e2
| op(e3,e2) = e2
| epred14_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1058,c_0_1564]),c_0_203]),c_0_101]) ).
cnf(c_0_1577,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_174,c_0_1573]) ).
cnf(c_0_1578,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_688,c_0_799]) ).
cnf(c_0_1579,plain,
( op(e2,e2) = e2
| op(e3,e2) = e2
| op(e3,e2) = e3
| epred14_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1053,c_0_1564]),c_0_217]),c_0_203]),c_0_1574]) ).
cnf(c_0_1580,plain,
( op(e2,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e2
| epred14_0 ),
inference(spm,[status(thm)],[c_0_1575,c_0_1576]) ).
cnf(c_0_1581,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_553,c_0_1573]) ).
cnf(c_0_1582,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_556,c_0_843]) ).
cnf(c_0_1583,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_1577,c_0_1578]) ).
cnf(c_0_1584,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_1579]),c_0_1568]) ).
cnf(c_0_1585,plain,
( op(e3,e2) = e2
| op(e3,e2) = e1
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_1580]),c_0_1568]) ).
cnf(c_0_1586,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_1581,c_0_1582]) ).
cnf(c_0_1587,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e1,e2) = e3
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_405,c_0_1583]) ).
cnf(c_0_1588,plain,
( op(e3,e2) = e2
| epred14_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1584,c_0_1585]),c_0_165]),c_0_116]) ).
cnf(c_0_1589,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e1,e3) = e3
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_616,c_0_1586]) ).
cnf(c_0_1590,plain,
( op(e1,e2) = e3
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| epred14_0 ),
inference(spm,[status(thm)],[c_0_1587,c_0_1588]) ).
cnf(c_0_1591,plain,
( op(e1,e3) = e3
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| epred14_0 ),
inference(spm,[status(thm)],[c_0_1589,c_0_1568]) ).
cnf(c_0_1592,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_1590]),c_0_1591]) ).
cnf(c_0_1593,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_1131,c_0_359]) ).
cnf(c_0_1594,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| epred14_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1561,c_0_1592]),c_0_165]) ).
cnf(c_0_1595,plain,
( epred14_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_374,c_0_1564]) ).
cnf(c_0_1596,plain,
( op(e3,e0) = e1
| op(e2,e2) = e2
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1593,c_0_1594]),c_0_101]),c_0_116]),c_0_165]),c_0_1595]),c_0_1574]) ).
cnf(c_0_1597,plain,
( epred14_0
| op(op(e3,e0),op(e3,e0)) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_592,c_0_1561]) ).
cnf(c_0_1598,plain,
( op(e3,e0) = e1
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_1596]),c_0_1588]) ).
cnf(c_0_1599,plain,
( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1600,plain,
( epred14_0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_1597,c_0_1598]) ).
cnf(c_0_1601,plain,
( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e0)) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1599,c_0_1302])]) ).
cnf(c_0_1602,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e0) = e2
| epred14_0 ),
inference(spm,[status(thm)],[c_0_1600,c_0_383]) ).
cnf(c_0_1603,plain,
( op(e0,op(e0,e0)) = e0
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e2) = e0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_1601,c_0_1602]) ).
cnf(c_0_1604,plain,
( op(e1,e2) = e0
| op(e1,e3) = e2
| op(e1,e2) = e2
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1603,c_0_1561]),c_0_1562]) ).
cnf(c_0_1605,plain,
( op(e1,e2) = e2
| op(e1,e3) = e2
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_1604]),c_0_1564]) ).
cnf(c_0_1606,plain,
( op(e1,e3) = e2
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_1605]),c_0_1588]) ).
cnf(c_0_1607,plain,
epred14_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_1606]),c_0_1568]) ).
cnf(c_0_1608,plain,
( op(e2,e1) = e2
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_1607])]) ).
cnf(c_0_1609,plain,
( op(e3,e3) = e1
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_1607])]) ).
cnf(c_0_1610,plain,
( epred13_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_373,c_0_1608]) ).
cnf(c_0_1611,plain,
( epred13_0
| op(e3,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_1607])]) ).
cnf(c_0_1612,plain,
( op(e3,e1) = e0
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1609]),c_0_1610]),c_0_1611]) ).
cnf(c_0_1613,plain,
( op(e1,e0) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_1608]) ).
cnf(c_0_1614,plain,
( epred13_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_122,c_0_1612]) ).
cnf(c_0_1615,plain,
( op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1202,c_0_1609]) ).
cnf(c_0_1616,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| epred13_0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_128,c_0_1613]) ).
cnf(c_0_1617,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1614,c_0_1615]) ).
cnf(c_0_1618,plain,
( op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_1608]) ).
cnf(c_0_1619,plain,
( op(e3,e0) = e3
| op(e1,e2) = e2
| op(e1,e3) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1616,c_0_1617]) ).
cnf(c_0_1620,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| epred13_0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_121,c_0_1618]) ).
cnf(c_0_1621,plain,
( op(e1,e3) = e2
| op(e3,e0) = e3
| epred13_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_678,c_0_1619]) ).
cnf(c_0_1622,plain,
( op(e3,e0) = e3
| op(e0,e2) = e2
| op(e0,e3) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1620,c_0_1617]) ).
cnf(c_0_1623,plain,
( op(e2,e2) = e1
| op(e0,op(e0,e3)) = e3
| op(e2,e1) != e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1624,plain,
( epred13_0
| op(op(e1,e3),op(e1,e3)) != e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_694,c_0_1609]) ).
cnf(c_0_1625,plain,
( op(e0,e3) = e2
| op(e3,e0) = e3
| op(e1,e3) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1621,c_0_1622]) ).
cnf(c_0_1626,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| epred13_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_359]) ).
cnf(c_0_1627,plain,
( epred13_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_360,c_0_1608]) ).
cnf(c_0_1628,plain,
( op(e2,e2) = e1
| op(e3,e3) = e0
| op(e2,e1) != e2
| op(e3,e0) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1629,plain,
( epred13_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_90,c_0_1612]) ).
cnf(c_0_1630,plain,
( op(e0,op(e0,e3)) = e3
| op(e2,e2) = e1
| op(e2,e1) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1623,c_0_1302])]) ).
cnf(c_0_1631,plain,
( epred13_0
| op(e2,e2) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_1607])]) ).
cnf(c_0_1632,plain,
( op(e3,e0) = e3
| op(e0,e3) = e2
| epred13_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_1624,c_0_1625]) ).
cnf(c_0_1633,plain,
( op(e2,e2) = e0
| op(e2,e2) = e3
| epred13_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1626,c_0_1607])]),c_0_1627]) ).
cnf(c_0_1634,plain,
( op(e3,e3) = e0
| op(e2,e2) = e1
| op(e2,e1) != e2
| op(e3,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1628,c_0_1302])]) ).
cnf(c_0_1635,plain,
( op(e3,e0) = e3
| epred13_0
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_223,c_0_1617]) ).
cnf(c_0_1636,plain,
( op(e3,e2) = e2
| op(e3,e2) = e3
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1211,c_0_1609]),c_0_1629]) ).
cnf(c_0_1637,plain,
( op(e0,op(e0,e3)) = e3
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1630,c_0_1608]),c_0_1631]) ).
cnf(c_0_1638,plain,
( op(e2,e2) = e3
| op(e0,e3) = e2
| op(e3,e0) = e3
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1632,c_0_1633]) ).
cnf(c_0_1639,plain,
( op(e3,e3) = e0
| epred13_0
| op(e3,e0) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1634,c_0_1608]),c_0_1631]) ).
cnf(c_0_1640,plain,
( op(e3,e2) = e3
| op(e3,e0) = e3
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1635,c_0_1636]) ).
cnf(c_0_1641,plain,
( epred13_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_119,c_0_1612]) ).
cnf(c_0_1642,plain,
( op(e3,e0) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| epred13_0 ),
inference(spm,[status(thm)],[c_0_1637,c_0_1638]) ).
cnf(c_0_1643,plain,
( op(e3,e2) = e3
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1639,c_0_1640]),c_0_1641]) ).
cnf(c_0_1644,plain,
( op(e2,e2) = e3
| op(e3,e0) = e3
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_1642]),c_0_1643]) ).
cnf(c_0_1645,plain,
( op(e3,e0) = e3
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_1644]),c_0_1643]) ).
cnf(c_0_1646,plain,
( op(e2,e2) = e1
| op(e0,op(e0,e0)) = e0
| op(e2,e1) != e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1647,plain,
epred13_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_1645]),c_0_1643]) ).
cnf(c_0_1648,plain,
( op(e0,op(e0,e0)) = e0
| op(e2,e2) = e1
| op(e2,e1) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1646,c_0_1302])]) ).
cnf(c_0_1649,plain,
( op(e2,e1) = e2
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_1647])]) ).
cnf(c_0_1650,plain,
( epred12_0
| op(e2,e2) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_1647])]) ).
cnf(c_0_1651,plain,
( op(e0,op(e0,e0)) = e0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1648,c_0_1649]),c_0_1650]) ).
cnf(c_0_1652,plain,
( op(e0,e0) = e1
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_1647])]) ).
cnf(c_0_1653,plain,
( epred12_0
| op(e0,e1) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_1647])]) ).
cnf(c_0_1654,plain,
epred12_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1651,c_0_1652]),c_0_1653]) ).
cnf(c_0_1655,plain,
( op(e2,e0) = e2
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_433,c_0_1654])]) ).
cnf(c_0_1656,plain,
( epred11_0
| op(e2,e2) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_1654])]) ).
cnf(c_0_1657,plain,
( op(e1,op(e1,e3)) = e3
| op(e2,e2) = e0
| op(e2,e0) != e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1658,plain,
( op(e1,op(e1,e1)) = e1
| op(e2,e2) = e0
| op(e2,e0) != e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1659,plain,
( op(e3,e3) = e1
| epred11_0
| op(e3,e1) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_1655]),c_0_1656]) ).
cnf(c_0_1660,plain,
( op(e1,op(e1,e3)) = e3
| op(e2,e2) = e0
| op(e2,e0) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1657,c_0_1302])]) ).
cnf(c_0_1661,plain,
( op(e1,op(e1,e1)) = e1
| op(e2,e2) = e0
| op(e2,e0) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1658,c_0_1302])]) ).
cnf(c_0_1662,plain,
( op(e1,e1) = e0
| epred11_0
| op(e3,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_497,c_0_1654])]) ).
cnf(c_0_1663,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e0) = e3
| op(e3,e3) = e1
| epred11_0 ),
inference(spm,[status(thm)],[c_0_1659,c_0_867]) ).
cnf(c_0_1664,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_366]),c_0_101]) ).
cnf(c_0_1665,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_832]),c_0_217]) ).
cnf(c_0_1666,plain,
( op(e1,op(e1,e3)) = e3
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1660,c_0_1655]),c_0_1656]) ).
cnf(c_0_1667,plain,
( epred11_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_710,c_0_1655]) ).
cnf(c_0_1668,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| op(op(e1,e2),op(e1,e2)) != e0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_1297,c_0_359]) ).
cnf(c_0_1669,plain,
( op(e1,op(e1,e1)) = e1
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1661,c_0_1655]),c_0_1656]) ).
cnf(c_0_1670,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_1654])]) ).
cnf(c_0_1671,plain,
( op(e3,e3) = e0
| epred11_0
| op(e1,e0) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_1654])]) ).
cnf(c_0_1672,plain,
( op(e3,e3) = e1
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e1,e1) = e0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_1662,c_0_1663]) ).
cnf(c_0_1673,plain,
( op(e2,e3) = e0
| op(e2,e2) = e1
| op(e2,e3) = e1
| epred11_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1664,c_0_1655]),c_0_116]),c_0_203]),c_0_1656]) ).
cnf(c_0_1674,plain,
( op(e2,e3) = e0
| op(e2,e2) = e3
| op(e2,e3) = e3
| epred11_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1665,c_0_1655]),c_0_439]),c_0_203]),c_0_1656]) ).
cnf(c_0_1675,plain,
( op(e3,e3) = e2
| op(e0,e3) = e2
| op(e1,e2) = e3
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1666,c_0_801]),c_0_1667]) ).
cnf(c_0_1676,plain,
( op(e3,e2) = e3
| op(e0,e2) = e3
| op(e2,e2) = e0
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_1668,c_0_461]) ).
cnf(c_0_1677,plain,
( op(e3,e3) = e0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1669,c_0_1670]),c_0_1671]) ).
cnf(c_0_1678,plain,
( epred11_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_467,c_0_1655]) ).
cnf(c_0_1679,plain,
( epred11_0
| op(e1,e0) != e1
| op(e3,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_1654])]) ).
cnf(c_0_1680,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e3) = e1
| op(e1,e0) = e1
| epred11_0 ),
inference(spm,[status(thm)],[c_0_1669,c_0_1672]) ).
cnf(c_0_1681,plain,
( op(e2,e3) = e3
| op(e2,e3) = e1
| op(e2,e3) = e0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1673,c_0_1674]),c_0_165]) ).
cnf(c_0_1682,plain,
( op(e0,e3) = e2
| op(e3,e3) = e2
| epred11_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_678,c_0_1675]) ).
cnf(c_0_1683,plain,
( op(e2,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e3
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1676,c_0_1677]),c_0_1678]),c_0_1656]) ).
cnf(c_0_1684,plain,
( op(e0,e3) = e2
| op(e3,e3) = e2
| epred11_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_405,c_0_1675]) ).
cnf(c_0_1685,plain,
( op(e0,e3) = e2
| op(e3,e3) = e2
| epred11_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1675]) ).
cnf(c_0_1686,plain,
( op(e2,e3) = e3
| op(e2,e3) = e0
| epred11_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_214,c_0_1674]) ).
cnf(c_0_1687,plain,
( op(e3,e3) = e1
| op(e3,e2) = e3
| op(e3,e3) = e3
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1679,c_0_1680]),c_0_1663]) ).
cnf(c_0_1688,plain,
( op(e2,e3) = e0
| op(e2,e3) = e3
| epred11_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_735,c_0_1681]) ).
cnf(c_0_1689,plain,
( epred11_0
| op(op(e0,e3),op(e0,e3)) != e1
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_594,c_0_1677]) ).
cnf(c_0_1690,plain,
( op(e3,e3) = e2
| op(e0,e3) = e2
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1682,c_0_1683]),c_0_1684]),c_0_1685]) ).
cnf(c_0_1691,plain,
( op(e3,e3) = e3
| op(e2,e3) = e0
| op(e2,e3) = e3
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1686,c_0_1687]),c_0_1688]) ).
cnf(c_0_1692,plain,
( op(e3,e3) = e2
| epred11_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_1689,c_0_1690]) ).
cnf(c_0_1693,plain,
( op(e2,e3) = e3
| op(e3,e3) = e3
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_1691]),c_0_1677]) ).
cnf(c_0_1694,plain,
( op(e2,e3) = e1
| op(e2,e3) = e0
| op(e3,e3) = e2
| epred11_0 ),
inference(spm,[status(thm)],[c_0_1692,c_0_1673]) ).
cnf(c_0_1695,plain,
( op(e3,e3) = e2
| op(e2,e3) = e0
| op(e3,e3) = e3
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1693,c_0_1694]),c_0_165]) ).
cnf(c_0_1696,plain,
( op(e3,e3) = e2
| op(e3,e3) = e3
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1693,c_0_1695]),c_0_217]) ).
cnf(c_0_1697,plain,
( op(e3,e3) = e3
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1677,c_0_1696]),c_0_203]) ).
cnf(c_0_1698,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1699,plain,
epred11_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1677,c_0_1697]),c_0_217]) ).
cnf(c_0_1700,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e1)) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1698,c_0_1302])]) ).
cnf(c_0_1701,plain,
( op(e1,e3) = e1
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_519,c_0_1699])]) ).
cnf(c_0_1702,plain,
( epred10_0
| op(e1,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_1699])]) ).
cnf(c_0_1703,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| epred10_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_541,c_0_263]) ).
cnf(c_0_1704,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_616,c_0_843]) ).
cnf(c_0_1705,plain,
( op(e2,e2) = e3
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_1699])]) ).
cnf(c_0_1706,plain,
( op(e0,op(e0,e1)) = e1
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1700,c_0_1701]),c_0_1702]) ).
cnf(c_0_1707,plain,
( op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1703,c_0_1699])]) ).
cnf(c_0_1708,plain,
( epred10_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_411,c_0_1701]) ).
cnf(c_0_1709,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_1704,c_0_721]) ).
cnf(c_0_1710,plain,
( epred10_0
| op(e2,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_545,c_0_1699])]) ).
cnf(c_0_1711,plain,
( epred10_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_717,c_0_1705]) ).
cnf(c_0_1712,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1706,c_0_1707]),c_0_1708]) ).
cnf(c_0_1713,plain,
( op(e2,e3) = e0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1709,c_0_1701]),c_0_101]),c_0_116]),c_0_165]),c_0_1710]),c_0_1711]) ).
fof(c_0_1714,plain,
( e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax9]) ).
cnf(c_0_1715,plain,
( op(e3,e1) = e3
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_1712]),c_0_1705]) ).
cnf(c_0_1716,plain,
( epred10_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_1701]) ).
cnf(c_0_1717,plain,
( epred10_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_735,c_0_1713]) ).
cnf(c_0_1718,plain,
( op(e0,op(e0,e3)) = e3
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1389,c_0_1701]),c_0_1702]) ).
cnf(c_0_1719,plain,
( op(e3,e3) = e2
| op(e0,e3) = e2
| epred10_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_1701]),c_0_116]),c_0_1710]) ).
cnf(c_0_1720,plain,
( e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_1714]) ).
cnf(c_0_1721,plain,
( op(e3,e2) = e1
| op(e3,e0) = e1
| epred10_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1274,c_0_1715]),c_0_165]),c_0_1716]) ).
cnf(c_0_1722,plain,
( op(e3,e2) = e0
| op(e3,e0) = e0
| epred10_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_1715]),c_0_217]),c_0_1717]) ).
fof(c_0_1723,plain,
( e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax17]) ).
cnf(c_0_1724,plain,
( op(e3,e3) = e2
| op(e0,e2) = e3
| epred10_0 ),
inference(spm,[status(thm)],[c_0_1718,c_0_1719]) ).
cnf(c_0_1725,plain,
( epred10_0
| op(op(e3,e2),op(e3,e2)) != e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_1720,c_0_1705]) ).
cnf(c_0_1726,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1721,c_0_1722]),c_0_101]) ).
cnf(c_0_1727,plain,
( e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_1723]) ).
cnf(c_0_1728,plain,
( op(e3,e3) = e2
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1724]),c_0_1705]) ).
cnf(c_0_1729,plain,
( op(e3,e2) = e0
| epred10_0
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_1725,c_0_1726]) ).
cnf(c_0_1730,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_1701]),c_0_1702]) ).
cnf(c_0_1731,plain,
( epred10_0
| op(op(e2,e3),op(e2,e3)) != e1
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_1727,c_0_1728]) ).
cnf(c_0_1732,plain,
( op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred10_0 ),
inference(spm,[status(thm)],[c_0_602,c_0_1701]) ).
cnf(c_0_1733,plain,
( op(e1,e1) = e2
| op(e3,e2) = e0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_1729,c_0_1730]) ).
cnf(c_0_1734,plain,
( epred10_0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_1731,c_0_1713]) ).
cnf(c_0_1735,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| epred10_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_128,c_0_1732]) ).
cnf(c_0_1736,plain,
( op(e3,e2) = e0
| epred10_0
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_177,c_0_1733]) ).
cnf(c_0_1737,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1738,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1739,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_1734,c_0_784]) ).
cnf(c_0_1740,plain,
( op(e3,e2) = e0
| op(e1,e0) = e3
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1735,c_0_1722]),c_0_1736]) ).
cnf(c_0_1741,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e2)) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1737,c_0_1302])]) ).
cnf(c_0_1742,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e0,e2) = e1
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_464,c_0_811]) ).
cnf(c_0_1743,plain,
( op(e1,op(e1,e3)) = e3
| op(e0,op(e0,e0)) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1738,c_0_1302])]) ).
cnf(c_0_1744,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| epred10_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_121,c_0_1739]) ).
cnf(c_0_1745,plain,
( op(e3,e2) = e0
| epred10_0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_113,c_0_1740]) ).
cnf(c_0_1746,plain,
( op(e0,op(e0,e2)) = e2
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1701]),c_0_1702]) ).
cnf(c_0_1747,plain,
( op(e0,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| epred10_0 ),
inference(spm,[status(thm)],[c_0_1742,c_0_1701]) ).
cnf(c_0_1748,plain,
( op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3
| epred10_0 ),
inference(spm,[status(thm)],[c_0_1460,c_0_1701]) ).
cnf(c_0_1749,plain,
( op(e0,op(e0,e0)) = e0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1701]),c_0_1702]) ).
cnf(c_0_1750,plain,
( op(e3,e2) = e0
| op(e0,e0) = e2
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1722]),c_0_1745]) ).
cnf(c_0_1751,plain,
( op(e1,e1) = e2
| epred10_0
| op(op(e0,e1),op(e0,e1)) != e3
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_468,c_0_1730]) ).
cnf(c_0_1752,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e0,e1) = e2
| epred10_0 ),
inference(spm,[status(thm)],[c_0_1746,c_0_1747]) ).
cnf(c_0_1753,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| epred10_0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_678,c_0_1748]) ).
cnf(c_0_1754,plain,
( op(e3,e2) = e0
| op(e0,e2) = e0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_1749,c_0_1750]) ).
cnf(c_0_1755,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| epred10_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_405,c_0_1748]) ).
cnf(c_0_1756,plain,
( op(e2,e2) = e1
| op(e3,e2) = e1
| op(e1,e1) = e2
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1751,c_0_1752]),c_0_1705]) ).
cnf(c_0_1757,plain,
( op(e3,e2) = e0
| epred10_0
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_174,c_0_1733]) ).
cnf(c_0_1758,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1753,c_0_1754]),c_0_1755]) ).
cnf(c_0_1759,plain,
( op(e3,e2) = e0
| epred10_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_451,c_0_1740]) ).
cnf(c_0_1760,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_1756]),c_0_1752]) ).
cnf(c_0_1761,plain,
( op(e3,e2) = e0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1757,c_0_1758]),c_0_1759]) ).
cnf(c_0_1762,plain,
( op(e3,e2) = e1
| epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1705,c_0_1760]),c_0_165]) ).
cnf(c_0_1763,plain,
epred10_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1761,c_0_1762]),c_0_101]) ).
cnf(c_0_1764,plain,
( op(e1,e2) = e1
| epred9_0
| op(e1,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_565,c_0_1763])]) ).
cnf(c_0_1765,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_1763])]) ).
cnf(c_0_1766,plain,
( op(e1,e3) = e1
| epred9_0
| op(e3,e2) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_641,c_0_1763])]) ).
cnf(c_0_1767,plain,
( op(e1,e2) = e1
| op(e0,e0) = e3
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_573,c_0_1763])]) ).
cnf(c_0_1768,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e1,e2) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1764,c_0_572]) ).
cnf(c_0_1769,plain,
( op(e1,e3) = e1
| op(e2,e2) = e3
| op(e0,e2) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_1765]),c_0_165]),c_0_1766]) ).
cnf(c_0_1770,plain,
( op(e0,e0) = e3
| epred9_0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_464,c_0_1767]) ).
cnf(c_0_1771,plain,
( op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e3) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_1768]),c_0_1767]) ).
cnf(c_0_1772,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1773,plain,
( op(e0,op(e0,e0)) = e0
| op(e0,e2) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1743,c_0_1769]) ).
cnf(c_0_1774,plain,
( op(e0,e2) = e3
| op(e2,e2) = e3
| op(e0,e0) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1770,c_0_1769]) ).
cnf(c_0_1775,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| epred9_0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_464,c_0_1771]) ).
cnf(c_0_1776,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e2)) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1772,c_0_1302])]) ).
cnf(c_0_1777,plain,
( op(e1,e3) = e1
| epred9_0
| op(e1,e1) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_631,c_0_1763])]) ).
cnf(c_0_1778,plain,
( op(e1,e1) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| op(e0,e3) = e0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1773,c_0_1774]) ).
cnf(c_0_1779,plain,
( op(e0,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1769]),c_0_165]) ).
cnf(c_0_1780,plain,
( op(e0,op(e0,e2)) = e2
| op(e1,e3) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1776,c_0_1765]),c_0_1777]) ).
cnf(c_0_1781,plain,
( op(e0,e3) = e0
| op(e0,e2) = e3
| op(e2,e2) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_1778]),c_0_1779]) ).
cnf(c_0_1782,plain,
( op(e1,e3) = e1
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_1765]),c_0_101]) ).
cnf(c_0_1783,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1784,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_1164,c_0_597]) ).
cnf(c_0_1785,plain,
( op(e2,e2) = e3
| op(e0,e3) = e0
| op(e1,e3) = e1
| op(e0,e3) = e2
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1780,c_0_1781]) ).
cnf(c_0_1786,plain,
( op(e2,e2) = e3
| op(e0,e3) = e0
| epred9_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_1224,c_0_1781]) ).
cnf(c_0_1787,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e1)) = e1
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1788,plain,
( op(e0,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e1,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1782]),c_0_165]) ).
cnf(c_0_1789,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e3)) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1783,c_0_1302])]) ).
cnf(c_0_1790,plain,
( op(e0,e0) = e3
| epred9_0
| op(e1,e1) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_635,c_0_1763])]) ).
cnf(c_0_1791,plain,
( op(e1,e2) = e1
| epred9_0
| op(e0,e3) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_654,c_0_1763])]) ).
cnf(c_0_1792,plain,
( op(e2,e2) = e3
| op(e0,e3) = e0
| op(e0,e3) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1784,c_0_1785]),c_0_101]),c_0_116]),c_0_165]),c_0_1786]) ).
cnf(c_0_1793,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e0
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_1446,c_0_823]) ).
cnf(c_0_1794,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e0)) = e0
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1795,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e1)) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1787,c_0_1302])]) ).
cnf(c_0_1796,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_1788]),c_0_217]) ).
cnf(c_0_1797,plain,
( op(e0,op(e0,e3)) = e3
| op(e0,e0) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1789,c_0_1767]),c_0_1790]) ).
cnf(c_0_1798,plain,
( op(e0,e3) = e2
| op(e2,e2) = e3
| op(e1,e2) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1791,c_0_1792]) ).
cnf(c_0_1799,plain,
( op(e3,e3) = e2
| op(e1,e3) = e1
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_551,c_0_1763])]) ).
cnf(c_0_1800,plain,
( op(e3,e3) = e2
| epred9_0
| op(e1,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_548,c_0_1763])]) ).
cnf(c_0_1801,plain,
( op(e1,e3) = e1
| op(e3,e2) = e0
| op(e3,e2) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1793,c_0_1765]),c_0_101]),c_0_116]),c_0_165]),c_0_1766]) ).
cnf(c_0_1802,plain,
( op(e1,op(e1,e2)) = e2
| op(e0,op(e0,e0)) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1794,c_0_1302])]) ).
cnf(c_0_1803,plain,
( op(e0,op(e0,e1)) = e1
| op(e0,e0) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1795,c_0_1767]),c_0_1790]) ).
cnf(c_0_1804,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| op(e0,e0) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1790,c_0_469]) ).
cnf(c_0_1805,plain,
( op(e0,e0) = e3
| epred9_0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_678,c_0_1767]) ).
cnf(c_0_1806,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_678,c_0_799]) ).
cnf(c_0_1807,plain,
( op(e2,e2) = e0
| op(e3,e2) = e0
| op(e1,e3) = e1
| op(e0,e0) = e2
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1780,c_0_1796]) ).
cnf(c_0_1808,plain,
( op(e0,e3) = e2
| op(e2,e2) = e3
| op(e0,e0) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1797,c_0_1792]) ).
cnf(c_0_1809,plain,
( op(e0,e3) = e2
| op(e2,e2) = e3
| op(e0,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1779,c_0_1798]),c_0_165]) ).
cnf(c_0_1810,plain,
( op(e0,op(e0,e0)) = e0
| op(e3,e3) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1799]),c_0_1800]) ).
cnf(c_0_1811,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_555,c_0_1763])]) ).
cnf(c_0_1812,plain,
( op(e3,e3) = e2
| epred9_0
| op(e0,e3) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_570,c_0_1763])]) ).
cnf(c_0_1813,plain,
( op(e3,e2) = e2
| op(e3,e2) = e0
| op(e0,e0) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1770,c_0_1801]) ).
cnf(c_0_1814,plain,
( op(e3,e2) = e2
| op(e3,e2) = e0
| op(e1,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1801]),c_0_165]) ).
cnf(c_0_1815,plain,
( op(e0,op(e0,e0)) = e0
| op(e1,e3) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1802,c_0_1765]),c_0_1777]) ).
cnf(c_0_1816,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2
| op(e0,e0) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1803,c_0_1804]),c_0_1805]) ).
cnf(c_0_1817,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_1806,c_0_369]) ).
cnf(c_0_1818,plain,
( op(e0,e0) = e2
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1807]),c_0_165]) ).
cnf(c_0_1819,plain,
( op(e2,e2) = e3
| op(e0,e3) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_1808]),c_0_1809]) ).
cnf(c_0_1820,plain,
( op(e3,e3) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1810,c_0_1811]),c_0_1812]) ).
cnf(c_0_1821,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| epred9_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_361,c_0_1813]) ).
cnf(c_0_1822,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| epred9_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1814]) ).
cnf(c_0_1823,plain,
( epred9_0
| op(e1,e3) != e1
| op(e0,e3) != e0
| op(e1,e1) != e2
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_1824,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1815,c_0_1816]) ).
cnf(c_0_1825,plain,
( op(e1,e3) = e1
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1817,c_0_1765]),c_0_101]),c_0_116]),c_0_165]) ).
cnf(c_0_1826,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e0) = e2
| op(e0,e0) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1790,c_0_383]) ).
cnf(c_0_1827,plain,
( op(e2,e2) = e0
| op(e3,e2) = e0
| op(e0,e0) = e2
| epred9_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1818]) ).
cnf(c_0_1828,plain,
( op(e2,e2) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1819]),c_0_1820]) ).
cnf(c_0_1829,plain,
( op(e0,e3) = e0
| op(e3,e2) = e2
| op(e3,e2) = e0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1821,c_0_1781]),c_0_1822]) ).
cnf(c_0_1830,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_1460,c_0_843]) ).
cnf(c_0_1831,plain,
( epred9_0
| op(e0,e3) != e0
| op(e1,e1) != e2
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_1823,c_0_631]) ).
cnf(c_0_1832,plain,
( op(e0,e3) = e0
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e1,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1824]),c_0_165]) ).
cnf(c_0_1833,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e1,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1825]),c_0_165]) ).
cnf(c_0_1834,plain,
( op(e0,e0) = e3
| op(e1,e2) = e2
| op(e1,e3) = e2
| epred9_0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_113,c_0_1826]) ).
cnf(c_0_1835,plain,
( op(e0,e0) = e2
| op(e3,e2) = e0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1827,c_0_1828]),c_0_217]) ).
cnf(c_0_1836,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e1,e2) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1791,c_0_1829]) ).
cnf(c_0_1837,plain,
( op(e1,e2) = e3
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1830,c_0_1771]),c_0_101]),c_0_116]),c_0_165]) ).
cnf(c_0_1838,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| epred9_0
| op(e0,e3) != e0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_1831,c_0_469]) ).
cnf(c_0_1839,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| epred9_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_361,c_0_1816]) ).
cnf(c_0_1840,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e3) = e0
| epred9_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1832]) ).
cnf(c_0_1841,plain,
( op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred9_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1833]) ).
cnf(c_0_1842,plain,
( op(e3,e2) = e0
| op(e1,e3) = e2
| op(e1,e2) = e2
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1834,c_0_1835]),c_0_439]) ).
cnf(c_0_1843,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1814,c_0_1836]),c_0_165]) ).
cnf(c_0_1844,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_1765]),c_0_559]) ).
cnf(c_0_1845,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| epred9_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1837]) ).
cnf(c_0_1846,plain,
( op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| epred9_0
| op(e0,e3) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1838,c_0_1763])]) ).
cnf(c_0_1847,plain,
( op(e0,e3) = e0
| op(e2,e1) = e2
| op(e3,e1) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1839,c_0_1781]),c_0_1840]) ).
cnf(c_0_1848,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1841,c_0_1828]) ).
cnf(c_0_1849,plain,
( op(e1,e3) = e2
| op(e3,e2) = e0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_1842]),c_0_1843]) ).
cnf(c_0_1850,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| epred9_0
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_553,c_0_1844]) ).
cnf(c_0_1851,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1845,c_0_1828]) ).
cnf(c_0_1852,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1846,c_0_1847]) ).
cnf(c_0_1853,plain,
( op(e0,e2) = e2
| op(e0,e2) = e3
| epred9_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_251,c_0_1848]) ).
cnf(c_0_1854,plain,
( op(e3,e2) = e0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_1849]),c_0_1820]) ).
cnf(c_0_1855,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1
| op(e1,e2) = e3
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_848]),c_0_165]) ).
cnf(c_0_1856,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e1) = e2
| op(e1,e1) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1850,c_0_1851]) ).
cnf(c_0_1857,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2
| epred9_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_362,c_0_1852]) ).
cnf(c_0_1858,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1853,c_0_1854]) ).
cnf(c_0_1859,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred9_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_607,c_0_1855]) ).
cnf(c_0_1860,plain,
( epred9_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_834,c_0_1854]) ).
cnf(c_0_1861,plain,
( op(e1,e1) = e3
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred9_0
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_238,c_0_1856]) ).
cnf(c_0_1862,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1857,c_0_1858]),c_0_1839]) ).
cnf(c_0_1863,plain,
( op(e1,e1) = e3
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred9_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_208,c_0_1856]) ).
cnf(c_0_1864,plain,
( op(e0,op(e0,e3)) = e3
| op(e1,e3) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1789,c_0_1765]),c_0_1777]) ).
cnf(c_0_1865,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1859,c_0_1828]) ).
cnf(c_0_1866,plain,
( op(e2,e3) = e0
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1850,c_0_577]),c_0_1860]) ).
cnf(c_0_1867,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e1) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1861,c_0_1862]),c_0_1863]) ).
cnf(c_0_1868,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e3) = e1
| op(e0,e1) = e3
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1864,c_0_1865]) ).
cnf(c_0_1869,plain,
( op(e1,e1) = e3
| op(e0,e3) = e0
| op(e2,e3) = e0
| epred9_0
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_238,c_0_1866]) ).
cnf(c_0_1870,plain,
( op(e1,e1) = e3
| op(e0,e3) = e0
| op(e2,e3) = e0
| epred9_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_208,c_0_1866]) ).
cnf(c_0_1871,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3
| epred9_0
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_234,c_0_1867]) ).
cnf(c_0_1872,plain,
( op(e0,e1) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred9_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1851,c_0_1868]),c_0_101]),c_0_116]),c_0_165]) ).
cnf(c_0_1873,plain,
( op(e2,e3) = e0
| op(e0,e3) = e0
| op(e1,e1) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1869,c_0_1862]),c_0_1870]) ).
cnf(c_0_1874,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e3) = e3
| op(e1,e3) = e2
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1871,c_0_1872]) ).
cnf(c_0_1875,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e0,e1) = e1
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_174,c_0_1187]) ).
cnf(c_0_1876,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e0,e1) = e1
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_553,c_0_1187]) ).
cnf(c_0_1877,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| epred9_0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_553,c_0_1873]) ).
cnf(c_0_1878,plain,
( op(e1,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_1874]),c_0_1820]) ).
cnf(c_0_1879,plain,
( op(e0,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1875,c_0_1765]),c_0_1876]) ).
cnf(c_0_1880,plain,
( epred9_0
| op(op(e3,e2),op(e3,e2)) != e1
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_397,c_0_1828]) ).
cnf(c_0_1881,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e0
| op(e0,e3) = e0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1877,c_0_1878]) ).
cnf(c_0_1882,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| epred9_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_932,c_0_1879]) ).
cnf(c_0_1883,plain,
( epred9_0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_1880,c_0_1854]) ).
cnf(c_0_1884,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_1765]),c_0_556]) ).
cnf(c_0_1885,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e1) = e0
| op(e3,e1) = e0
| epred9_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_1872]),c_0_217]),c_0_1820]) ).
cnf(c_0_1886,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_1881]),c_0_101]) ).
cnf(c_0_1887,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1882,c_0_1865]) ).
cnf(c_0_1888,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1883,c_0_1884]) ).
cnf(c_0_1889,plain,
( epred9_0
| op(op(e2,e3),op(e2,e3)) != e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_1490,c_0_1820]) ).
cnf(c_0_1890,plain,
( op(e3,e1) = e0
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_1885]),c_0_1886]) ).
cnf(c_0_1891,plain,
( op(e3,e1) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred9_0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_485,c_0_1887]) ).
cnf(c_0_1892,plain,
( op(e3,e0) = e1
| epred9_0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_710,c_0_1888]) ).
cnf(c_0_1893,plain,
( op(e3,e3) = e1
| op(e3,e1) = e0
| epred9_0
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_1889,c_0_1890]) ).
cnf(c_0_1894,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| epred9_0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_208,c_0_1844]) ).
cnf(c_0_1895,plain,
( op(e3,e0) = e1
| op(e3,e3) = e1
| op(e3,e1) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1891,c_0_1888]),c_0_1892]) ).
cnf(c_0_1896,plain,
( op(e3,e3) = e1
| op(e3,e1) = e0
| op(e3,e0) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1892,c_0_1890]) ).
cnf(c_0_1897,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e3,e3) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1893,c_0_1844]),c_0_1894]) ).
cnf(c_0_1898,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_122,c_0_1190]) ).
cnf(c_0_1899,plain,
( op(e3,e3) = e1
| op(e3,e0) = e1
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1895,c_0_1896]),c_0_101]) ).
cnf(c_0_1900,plain,
( op(e3,e3) = e1
| op(e1,e1) = e3
| epred9_0
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_238,c_0_1897]) ).
cnf(c_0_1901,plain,
( op(e3,e3) = e1
| op(e1,e1) = e3
| epred9_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_208,c_0_1897]) ).
cnf(c_0_1902,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1898,c_0_1899]),c_0_1198]) ).
cnf(c_0_1903,plain,
( op(e1,e1) = e3
| op(e3,e3) = e1
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1900,c_0_1862]),c_0_1901]) ).
cnf(c_0_1904,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1902]),c_0_1854]) ).
cnf(c_0_1905,plain,
( op(e3,e3) = e1
| epred9_0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_208,c_0_1903]) ).
cnf(c_0_1906,plain,
( op(e3,e1) = e3
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_1904]),c_0_1820]) ).
cnf(c_0_1907,plain,
( op(e3,e3) = e1
| epred9_0 ),
inference(spm,[status(thm)],[c_0_1905,c_0_1906]) ).
cnf(c_0_1908,plain,
epred9_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1820,c_0_1907]),c_0_116]) ).
cnf(c_0_1909,plain,
( op(e1,e2) = e1
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_673,c_0_1908])]) ).
cnf(c_0_1910,plain,
( epred8_0
| op(e1,e1) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_664,c_0_1908])]) ).
cnf(c_0_1911,plain,
( op(e0,op(e0,e0)) = e0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1802,c_0_1909]),c_0_1910]) ).
cnf(c_0_1912,plain,
( op(e0,e0) = e2
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_671,c_0_1908])]) ).
cnf(c_0_1913,plain,
( epred8_0
| op(e0,e2) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_696,c_0_1908])]) ).
cnf(c_0_1914,plain,
epred8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1911,c_0_1912]),c_0_1913]) ).
cnf(c_0_1915,plain,
epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_767,c_0_1914])]) ).
cnf(c_0_1916,plain,
( op(e1,e0) = e1
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_771,c_0_1915])]) ).
cnf(c_0_1917,plain,
( epred6_0
| op(e1,e1) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_777,c_0_1915])]) ).
cnf(c_0_1918,plain,
( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1919,plain,
epred6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1311,c_0_1916]),c_0_1917]) ).
cnf(c_0_1920,plain,
( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e3)) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1918,c_0_1302])]) ).
cnf(c_0_1921,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_908,c_0_1919])]) ).
cnf(c_0_1922,plain,
( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e3)) = e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1923,plain,
( op(e0,op(e0,e3)) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e0,e0) = e3
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_1920,c_0_965]) ).
cnf(c_0_1924,plain,
( op(e0,e3) = e0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_913,c_0_1921])]) ).
cnf(c_0_1925,plain,
( epred4_0
| op(e0,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_907,c_0_1921])]) ).
cnf(c_0_1926,plain,
( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e3)) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1922,c_0_1302])]) ).
cnf(c_0_1927,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_911,c_0_1921])]) ).
cnf(c_0_1928,plain,
( op(e2,e2) = e3
| epred4_0
| op(e1,e3) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_924,c_0_1921])]) ).
cnf(c_0_1929,plain,
( op(e1,e3) = e0
| op(e2,e0) = e3
| op(e3,e0) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1923,c_0_1924]),c_0_1925]) ).
cnf(c_0_1930,plain,
( op(e0,op(e0,e3)) = e3
| op(e2,e2) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1926,c_0_1927]),c_0_1928]) ).
cnf(c_0_1931,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_1929]),c_0_1924]) ).
cnf(c_0_1932,plain,
( op(e2,e2) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1930,c_0_1924]),c_0_1925]) ).
cnf(c_0_1933,plain,
( op(e3,e0) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_1931]),c_0_1932]) ).
cnf(c_0_1934,plain,
( epred4_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_124,c_0_1924]) ).
cnf(c_0_1935,plain,
( epred4_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_717,c_0_1932]) ).
cnf(c_0_1936,plain,
( op(e1,op(e1,e1)) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1412,c_0_1933]),c_0_1934]) ).
cnf(c_0_1937,plain,
( op(e1,e1) = e3
| epred4_0
| op(e2,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_951,c_0_1921])]) ).
cnf(c_0_1938,plain,
( op(e2,e3) = e2
| op(e3,e3) = e2
| op(e3,e3) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_1924]),c_0_217]),c_0_203]),c_0_1935]) ).
cnf(c_0_1939,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e1,e3) = e1
| epred4_0 ),
inference(spm,[status(thm)],[c_0_1936,c_0_572]) ).
cnf(c_0_1940,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(op(e1,e0),op(e1,e0)) != e3
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_388,c_0_784]) ).
cnf(c_0_1941,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e1,e1) = e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_1937,c_0_1938]) ).
cnf(c_0_1942,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1274,c_0_380]),c_0_116]) ).
cnf(c_0_1943,plain,
( op(e1,e3) = e1
| op(e1,e2) = e3
| op(e1,e3) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_1939]),c_0_1933]) ).
cnf(c_0_1944,plain,
( op(e1,op(e1,e2)) = e2
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1427,c_0_1933]),c_0_1934]) ).
cnf(c_0_1945,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_1940,c_0_962]) ).
cnf(c_0_1946,plain,
( op(e3,e3) = e2
| op(e3,e3) = e3
| epred4_0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_553,c_0_1941]) ).
cnf(c_0_1947,plain,
( op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e2) = e2
| op(e3,e3) = e2
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1942,c_0_1933]),c_0_439]),c_0_165]) ).
cnf(c_0_1948,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e3) = e2
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1422,c_0_1933]),c_0_439]),c_0_217]),c_0_1934]) ).
cnf(c_0_1949,plain,
( epred4_0
| op(e1,e3) != e1
| op(e2,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_925,c_0_1921])]) ).
cnf(c_0_1950,plain,
( op(e1,e3) = e3
| op(e1,e3) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_1943]),c_0_1932]) ).
cnf(c_0_1951,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0
| op(e1,e0) = e2
| epred4_0 ),
inference(spm,[status(thm)],[c_0_1944,c_0_179]) ).
cnf(c_0_1952,plain,
( op(e0,e0) = e2
| op(e0,e0) = e0
| op(e2,e0) = e2
| op(e3,e0) = e2
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1945,c_0_1932]),c_0_1925]) ).
cnf(c_0_1953,plain,
( op(e0,e3) = e3
| op(e3,e3) = e3
| op(e3,e3) = e2
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1946,c_0_257]),c_0_1935]) ).
cnf(c_0_1954,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e3) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1420,c_0_1933]),c_0_165]),c_0_217]),c_0_1934]) ).
cnf(c_0_1955,plain,
( op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e3) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1947,c_0_1948]),c_0_101]),c_0_203]) ).
cnf(c_0_1956,plain,
( epred4_0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_158,c_0_1924]) ).
cnf(c_0_1957,plain,
( op(e1,e3) = e3
| epred4_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_1949,c_0_1950]) ).
cnf(c_0_1958,plain,
( op(e0,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| epred4_0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_113,c_0_1951]) ).
cnf(c_0_1959,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_1952]),c_0_1924]) ).
cnf(c_0_1960,plain,
( op(e0,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| epred4_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_146,c_0_1951]) ).
cnf(c_0_1961,plain,
( op(e0,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| epred4_0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_128,c_0_1951]) ).
cnf(c_0_1962,plain,
( op(e3,e3) = e2
| op(e3,e3) = e3
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1924,c_0_1953]),c_0_217]) ).
cnf(c_0_1963,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1954,c_0_1955]),c_0_203]),c_0_116]) ).
cnf(c_0_1964,plain,
( op(e1,e3) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1709,c_0_1950]),c_0_101]),c_0_116]),c_0_165]),c_0_1956]),c_0_1957]),c_0_1935]) ).
cnf(c_0_1965,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1958,c_0_1959]),c_0_1960]),c_0_1961]) ).
cnf(c_0_1966,plain,
( op(e3,e3) = e2
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1962,c_0_1963]),c_0_116]),c_0_165]) ).
cnf(c_0_1967,plain,
( epred4_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_411,c_0_1964]) ).
cnf(c_0_1968,plain,
( op(e2,e2) = e0
| op(e3,e2) = e0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1224,c_0_1965]),c_0_1924]) ).
cnf(c_0_1969,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e2) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1492,c_0_1966]),c_0_1925]),c_0_1967]) ).
cnf(c_0_1970,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_1964]),c_0_165]) ).
cnf(c_0_1971,plain,
( epred4_0
| op(op(e3,e2),op(e3,e2)) != e1
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_397,c_0_1932]) ).
cnf(c_0_1972,plain,
( op(e3,e2) = e0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1932,c_0_1968]),c_0_217]) ).
cnf(c_0_1973,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_1573]) ).
cnf(c_0_1974,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1969]),c_0_1932]) ).
cnf(c_0_1975,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_208,c_0_1573]) ).
cnf(c_0_1976,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1924,c_0_1970]),c_0_101]) ).
cnf(c_0_1977,plain,
( epred4_0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_1971,c_0_1972]) ).
cnf(c_0_1978,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1973,c_0_1974]),c_0_1975]) ).
cnf(c_0_1979,plain,
( op(e3,e3) = e1
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_1488,c_0_1976]) ).
cnf(c_0_1980,plain,
( op(e2,e0) = e1
| op(e3,e0) = e1
| epred4_0 ),
inference(spm,[status(thm)],[c_0_1977,c_0_1978]) ).
cnf(c_0_1981,plain,
( op(e3,e0) = e1
| op(e3,e3) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1979,c_0_1980]),c_0_101]),c_0_116]),c_0_165]) ).
cnf(c_0_1982,plain,
( op(e3,e3) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1933,c_0_1981]),c_0_165]) ).
cnf(c_0_1983,plain,
( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1984,plain,
epred4_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1966,c_0_1982]),c_0_116]) ).
cnf(c_0_1985,plain,
~ epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1351,c_0_1021]),c_0_1133]) ).
cnf(c_0_1986,plain,
( op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e2)) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1983,c_0_1302])]) ).
cnf(c_0_1987,plain,
op(e0,e2) = e0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1025,c_0_1984])]),c_0_1985]) ).
cnf(c_0_1988,plain,
op(e0,e0) != e2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1042,c_0_1984])]),c_0_1985]) ).
cnf(c_0_1989,plain,
op(e1,op(e1,e1)) = e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1986,c_0_1987]),c_0_1988]) ).
cnf(c_0_1990,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1013,c_0_1984])]),c_0_1985]) ).
cnf(c_0_1991,plain,
( op(e3,e3) = e2
| op(e1,e2) != e1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1023,c_0_1984])]),c_0_1985]) ).
cnf(c_0_1992,plain,
op(e3,e3) = e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1989,c_0_1990]),c_0_1991]) ).
cnf(c_0_1993,plain,
( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e2)) = e2
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1994,plain,
op(e0,e3) != e2,
inference(rw,[status(thm)],[c_0_124,c_0_1992]) ).
cnf(c_0_1995,plain,
( op(e1,op(e1,e0)) = e0
| op(e0,op(e0,e2)) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1993,c_0_1302])]) ).
cnf(c_0_1996,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e0) = e2
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_234,c_0_383]) ).
cnf(c_0_1997,plain,
op(e0,e1) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_1987]),c_0_203]),c_0_1988]),c_0_1994]) ).
cnf(c_0_1998,plain,
op(e1,e3) != e2,
inference(rw,[status(thm)],[c_0_206,c_0_1992]) ).
cnf(c_0_1999,plain,
( op(e1,e1) = e2
| op(e3,e2) != e3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1092,c_0_1984])]),c_0_1985]) ).
cnf(c_0_2000,plain,
op(e1,op(e1,e0)) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1995,c_0_1987]),c_0_1988]) ).
cnf(c_0_2001,plain,
( op(e1,e0) = e2
| op(e1,e2) = e2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1996,c_0_1997])]),c_0_1998]) ).
cnf(c_0_2002,plain,
op(e1,e2) != e0,
inference(rw,[status(thm)],[c_0_678,c_0_1987]) ).
cnf(c_0_2003,plain,
( op(e1,e2) = e1
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_1989,c_0_1999]) ).
cnf(c_0_2004,plain,
op(e1,e2) = e2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2000,c_0_2001]),c_0_2002]) ).
cnf(c_0_2005,plain,
op(e3,e2) != e3,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1097,c_0_1984])]),c_0_1985]),c_0_2003]) ).
cnf(c_0_2006,plain,
( op(e3,e3) = e1
| op(e0,op(e0,e2)) = e2
| op(e3,e1) != e3
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_2007,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_811,c_0_1987]),c_0_101]),c_0_2004]),c_0_116]) ).
cnf(c_0_2008,plain,
op(e2,e2) = e3,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_1987]),c_0_217]),c_0_2004]),c_0_439]),c_0_2005]) ).
cnf(c_0_2009,plain,
( op(e0,op(e0,e2)) = e2
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2006,c_0_1302])]) ).
cnf(c_0_2010,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_90,c_0_1190]) ).
cnf(c_0_2011,plain,
op(e3,e2) = e1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2007,c_0_2008]),c_0_165]) ).
cnf(c_0_2012,plain,
op(e3,e1) != e3,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2009,c_0_1987]),c_0_1992]),c_0_1988]),c_0_116]) ).
cnf(c_0_2013,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[c_0_119,c_0_1992]) ).
cnf(c_0_2014,plain,
( op(e0,e3) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1197,c_0_1987]),c_0_217]) ).
cnf(c_0_2015,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_223,c_0_131]) ).
cnf(c_0_2016,plain,
op(e3,e0) != e2,
inference(rw,[status(thm)],[c_0_168,c_0_1992]) ).
cnf(c_0_2017,plain,
op(e3,e1) = e0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2010,c_0_2011])]),c_0_2012]),c_0_2013]) ).
cnf(c_0_2018,plain,
( op(e0,e0) = e3
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2014,c_0_1997]),c_0_439]) ).
cnf(c_0_2019,plain,
( op(e3,e0) = e0
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2015,c_0_2011])]),c_0_2016]) ).
cnf(c_0_2020,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_122,c_0_2017]) ).
cnf(c_0_2021,plain,
op(e2,e0) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1560,c_0_2004])]),c_0_2016]),c_0_1988]) ).
cnf(c_0_2022,plain,
op(e2,e2) != e0,
inference(rw,[status(thm)],[c_0_374,c_0_1987]) ).
cnf(c_0_2023,plain,
( op(e0,e3) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1143,c_0_1987]),c_0_101]) ).
cnf(c_0_2024,plain,
( op(e0,e3) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_121,c_0_2018]) ).
cnf(c_0_2025,plain,
op(e3,e0) = e3,
inference(sr,[status(thm)],[c_0_2019,c_0_2020]) ).
cnf(c_0_2026,plain,
( op(e2,e3) = e0
| op(e3,e1) != e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_981,c_0_2021]),c_0_2022]),c_0_203]) ).
cnf(c_0_2027,plain,
( op(e0,e0) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2023,c_0_1997]),c_0_116]) ).
cnf(c_0_2028,plain,
op(e0,e3) = e3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2024,c_0_2025])]) ).
cnf(c_0_2029,plain,
op(e2,e3) = e0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2026,c_0_2017])]) ).
cnf(c_0_2030,plain,
op(e0,e0) = e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2027,c_0_2028]),c_0_165]) ).
cnf(c_0_2031,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1727,c_0_1992]),c_0_1992]),c_0_1992]),c_0_1992])]),c_0_2029]),c_0_2029]),c_0_2030]),c_0_2029])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG155+1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:22:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 13.47/8.58 % Version : CSE_E---1.7
% 13.47/8.58 % Problem : theBenchmark.p
% 13.47/8.58 % SZS status Unsatisfiable for theBenchmark.p
% 13.47/8.58 % SZS output start CNFRefutation
% See solution above
% 13.56/8.64 % Total time : 6.439s
%------------------------------------------------------------------------------