%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG060+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:51:14 AM UTC 2026
% Result : Theorem 10.67s 11.87s
% Output : CNFRefutation 10.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(ax4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(co1,conjecture,
~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax6,axiom,
( e3 = op(e4,op(e4,e4))
& e2 = op(op(e4,op(e4,e4)),e4)
& e1 = op(e4,e4)
& e0 = op(op(e4,e4),e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(c_0_7,plain,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_8,negated_conjecture,
~ ~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_9,plain,
( epred6_0
<=> ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
fof(c_0_10,plain,
( epred14_0
<=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
e3 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_13,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_14,plain,
( epred13_0
<=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
fof(c_0_15,negated_conjecture,
~ ~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| epred14_0 )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| epred6_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8]),c_0_9]),c_0_10]) ).
cnf(c_0_16,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
op(e4,e1) = e3,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_18,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_19,plain,
( epred5_0
<=> ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
fof(c_0_20,plain,
( epred14_0
=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| epred13_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_14]) ).
fof(c_0_21,negated_conjecture,
( ( epred14_0
| op(op(e4,e4),e4) != e4 )
& ( epred14_0
| op(op(e4,e4),e4) = e4 )
& ( epred14_0
| op(e4,e4) != op(e4,e4) )
& ( epred6_0
| op(e4,e2) != e4
| op(e4,e3) != e4
| op(e4,e4) != e4 )
& ( epred6_0
| op(e4,e2) != e4
| op(e4,e3) != e4
| op(e4,e4) = e4 )
& ( epred6_0
| op(e4,e2) != e4
| op(e3,e3) = e4
| op(e4,e4) != e4 )
& ( epred6_0
| op(e4,e2) != e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( epred6_0
| op(e4,e2) != e4
| op(e4,e4) = e3
| op(e4,e4) != e4 )
& ( epred6_0
| op(e4,e2) != e4
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& ( epred6_0
| op(e2,e2) = e4
| op(e4,e3) != e4
| op(e4,e4) != e4 )
& ( epred6_0
| op(e2,e2) = e4
| op(e4,e3) != e4
| op(e4,e4) = e4 )
& ( epred6_0
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) != e4 )
& ( epred6_0
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( epred6_0
| op(e2,e2) = e4
| op(e4,e4) = e3
| op(e4,e4) != e4 )
& ( epred6_0
| op(e2,e2) = e4
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& ( epred6_0
| op(e4,e4) = e2
| op(e4,e3) != e4
| op(e4,e4) != e4 )
& ( epred6_0
| op(e4,e4) = e2
| op(e4,e3) != e4
| op(e4,e4) = e4 )
& ( epred6_0
| op(e4,e4) = e2
| op(e3,e3) = e4
| op(e4,e4) != e4 )
& ( epred6_0
| op(e4,e4) = e2
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( epred6_0
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) != e4 )
& ( epred6_0
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_22,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_23,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_24,plain,
op(e4,e3) != e3,
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_26,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_29,plain,
( epred6_0
=> ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| epred5_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_19]) ).
fof(c_0_30,plain,
( ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e4) != e2
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e2) = e4
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e4) != e1
| op(e2,e4) != op(e4,e2)
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e4) != e2
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(op(e4,e1),e1) = e4
| op(e2,e4) != op(e4,e2)
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e4) != e2
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e2) = e4
| op(e3,e4) != op(e4,e3) )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e3) = e4 )
& ( ~ epred14_0
| epred13_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(e3,e4) != op(e4,e3) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_31,negated_conjecture,
( $false
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
op(unit,e4) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_33,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_34,plain,
op(e3,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_13]),c_0_17]) ).
cnf(c_0_35,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_37,plain,
op(e4,e3) != e1,
inference(rw,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_38,plain,
e0 = op(op(e4,e4),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_39,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_40,plain,
op(e3,e1) != e3,
inference(rw,[status(thm)],[c_0_28,c_0_17]) ).
cnf(c_0_41,plain,
op(e3,e1) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_42,plain,
( ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e4,e0) != e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e4,e0) != e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e4,e0) != e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e0,e0) = e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e0,e0) = e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e0,e0) = e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e4,e4) = e0
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e4,e4) = e0
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e4) != e3
| op(e4,e4) = e0
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e4,e0) != e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e4,e0) != e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e4,e0) != e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e0,e0) = e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e0,e0) = e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e0,e0) = e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e4,e0) != e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e4,e0) != e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e4,e0) != e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e0,e0) = e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e0,e0) = e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e0,e0) = e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e4,e4) = e0
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e4,e4) = e0
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) != e3
| op(e3,e3) = e4
| op(e4,e4) = e0
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e4,e0) != e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e4,e0) != e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e4,e0) != e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e0,e0) = e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e0,e0) = e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e0,e0) = e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e4,e4) = e0
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e4,e4) = e0
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e4) != e3
| op(e4,e4) = e0
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e0) != e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e0) != e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e0) != e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e0,e0) = e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e0,e0) = e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e0,e0) = e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e4,e0) != e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e4,e0) != e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e4,e0) != e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e0,e0) = e4
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e0,e0) = e4
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e0,e0) = e4
| op(e4,e4) = e1 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e4,e4) = e0
| op(e4,e1) != e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e4,e4) = e0
| op(e1,e1) = e4 )
& ( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e3,e3) = e4
| op(e4,e4) = e0
| op(e4,e4) = e1 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_43,negated_conjecture,
( epred6_0
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_44,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_46,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,plain,
( ~ epred14_0
| op(e2,e4) != op(e4,e2)
| op(e3,e4) != op(e4,e3)
| epred13_0
| op(op(e4,e1),e1) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_48,negated_conjecture,
epred14_0,
inference(cn,[status(thm)],[c_0_31]) ).
cnf(c_0_49,plain,
op(e4,unit) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_50,plain,
( unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_51,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_52,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| op(e4,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_36,c_0_37]),c_0_24]) ).
cnf(c_0_53,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_54,plain,
op(e1,e4) = e0,
inference(rw,[status(thm)],[c_0_38,c_0_13]) ).
cnf(c_0_55,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_57,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_58,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[c_0_41,c_0_34]) ).
cnf(c_0_59,plain,
( ~ epred6_0
| epred5_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e1,e1) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_60,negated_conjecture,
epred6_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_13]),c_0_13]),c_0_13]),c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_61,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_62,plain,
( ~ epred14_0
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3
| epred13_0
| op(op(e4,e1),e1) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_63,plain,
( op(e4,e3) != e2
| op(e4,e2) != op(e2,e4)
| epred13_0
| op(e3,e1) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_17]),c_0_34]),c_0_48])]) ).
cnf(c_0_64,plain,
( unit = e0
| unit = e1
| op(e4,e2) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_65,plain,
( unit = e0
| unit = e1
| op(e2,e4) = e4 ),
inference(spm,[status(thm)],[c_0_32,c_0_50]) ).
cnf(c_0_66,plain,
( op(e4,e2) != e4
| op(e4,e3) = e0
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_67,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_68,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_34]),c_0_13]),c_0_55]),c_0_56]),c_0_45]) ).
cnf(c_0_69,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_70,plain,
( op(e3,e1) = e4
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_71,plain,
( ~ epred6_0
| op(e3,e3) != e3
| epred5_0
| op(e4,e4) = e3
| op(e4,e4) = e0
| op(e1,e1) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_72,plain,
( epred5_0
| op(e1,e1) = e4
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_13]),c_0_13]),c_0_60])]),c_0_61]),c_0_45]) ).
cnf(c_0_73,plain,
( op(op(e4,e3),e4) != e3
| op(e4,e2) != op(e2,e4)
| epred13_0
| op(e3,e1) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_17]),c_0_48])]) ).
cnf(c_0_74,plain,
( op(e4,e3) != e2
| epred13_0
| unit = e1
| unit = e0
| op(e3,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_75,plain,
( unit = e1
| unit = e0
| op(e4,e3) = e2
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_66,c_0_64]) ).
cnf(c_0_76,plain,
( op(e2,e3) != e3
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,plain,
( unit = e0
| unit = e1
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_22,c_0_50]) ).
cnf(c_0_78,plain,
( op(e1,e1) != e4
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_79,plain,
( epred5_0
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_13]),c_0_13]),c_0_60])]),c_0_61]),c_0_45]),c_0_72]) ).
cnf(c_0_80,plain,
( op(op(e4,e3),e4) != e3
| epred13_0
| unit = e1
| unit = e0
| op(e3,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_64]),c_0_65]) ).
cnf(c_0_81,plain,
( epred13_0
| unit = e0
| unit = e1
| op(e3,e1) = e4
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
( unit = e1
| unit = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( epred5_0
| op(e3,e1) = e0
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,plain,
( epred13_0
| unit = e0
| unit = e1
| op(e3,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_85,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_86,plain,
( epred12_0
<=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_87,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_88,plain,
( epred5_0
| epred13_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_46]),c_0_85]) ).
fof(c_0_89,plain,
( epred13_0
=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| epred12_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_14]),c_0_86]) ).
cnf(c_0_90,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_17]),c_0_56]) ).
cnf(c_0_91,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_92,plain,
( epred5_0
| epred13_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_88]),c_0_54]),c_0_85]) ).
fof(c_0_93,plain,
( ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e3) != e4
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e4) = e3
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) != e3
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e3) != e4
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e4) = e3
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(op(e3,e3),e3) = e3
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e3) != e4
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e4) = e3
| op(e0,e4) != op(e4,e0) )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e4) != e0 )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e0) = e4 )
& ( ~ epred13_0
| epred12_0
| op(e3,e3) != op(e3,e3)
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
cnf(c_0_94,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_95,plain,
( op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[c_0_90,c_0_58]) ).
cnf(c_0_96,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_97,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_98,plain,
( epred5_0
| epred13_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_100,plain,
op(e2,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_101,plain,
( ~ epred13_0
| $false
| epred12_0
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_102,plain,
( op(e2,e0) != e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_103,plain,
( epred5_0
| epred13_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_92]) ).
cnf(c_0_104,plain,
( op(e0,e1) != e2
| epred5_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_106,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_107,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_108,plain,
op(e2,e4) != e0,
inference(rw,[status(thm)],[c_0_99,c_0_54]) ).
cnf(c_0_109,plain,
op(e2,e4) != e1,
inference(rw,[status(thm)],[c_0_100,c_0_13]) ).
cnf(c_0_110,plain,
op(e2,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_111,plain,
( ~ epred13_0
| epred12_0
| op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3 ),
inference(cn,[status(thm)],[c_0_101]) ).
cnf(c_0_112,plain,
( epred5_0
| epred13_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_113,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_114,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_115,plain,
op(e4,e0) != e1,
inference(rw,[status(thm)],[c_0_105,c_0_13]) ).
cnf(c_0_116,plain,
op(e4,e0) != e3,
inference(rw,[status(thm)],[c_0_106,c_0_17]) ).
cnf(c_0_117,plain,
( op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_118,plain,
op(e2,e4) != e2,
inference(rw,[status(thm)],[c_0_110,c_0_34]) ).
cnf(c_0_119,plain,
( ~ epred13_0
| epred12_0
| op(e2,e4) = e3
| op(op(e4,e0),e0) = e4 ),
inference(rw,[status(thm)],[c_0_111,c_0_34]) ).
cnf(c_0_120,plain,
( epred5_0
| epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_112]),c_0_35]) ).
cnf(c_0_121,plain,
( op(e4,e0) != e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_113,c_0_64]) ).
cnf(c_0_122,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_123,plain,
op(e2,e0) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_124,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3 ),
inference(sr,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_126,plain,
( epred5_0
| epred12_0
| op(e2,e4) = e3
| op(op(e4,e0),e0) = e4 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_127,plain,
( unit = e0
| unit = e1
| op(e4,e0) = e0
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_128,plain,
( op(e2,e0) != e4
| op(e2,e4) = e3 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_130,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_131,plain,
op(e1,e1) != e0,
inference(rw,[status(thm)],[c_0_125,c_0_54]) ).
cnf(c_0_132,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_133,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_134,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_135,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_136,plain,
( epred5_0
| epred12_0
| unit = e1
| unit = e0
| op(e2,e4) = e3
| op(e4,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_137,plain,
( unit = e0
| unit = e1
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_129,c_0_50]) ).
cnf(c_0_138,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_139,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_140,plain,
op(e2,e1) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_141,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_17]),c_0_131]),c_0_55]) ).
cnf(c_0_142,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_17]),c_0_133]) ).
cnf(c_0_143,plain,
( unit = e0
| unit = e1
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_134,c_0_50]) ).
cnf(c_0_144,plain,
( epred5_0
| epred12_0
| unit = e0
| unit = e1
| op(e2,e4) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).
cnf(c_0_145,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_146,plain,
op(e1,e3) != e0,
inference(rw,[status(thm)],[c_0_138,c_0_54]) ).
cnf(c_0_147,plain,
( op(e4,e2) != e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference(spm,[status(thm)],[c_0_51,c_0_139]) ).
cnf(c_0_148,plain,
( op(e2,e3) != e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
cnf(c_0_149,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_150,plain,
( op(e2,e1) != e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_140,c_0_65]) ).
cnf(c_0_151,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_85]) ).
cnf(c_0_152,plain,
( op(e0,e1) != e0
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_97,c_0_143]) ).
cnf(c_0_153,plain,
( epred5_0
| epred12_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_144]),c_0_133]) ).
cnf(c_0_154,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_155,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_156,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_157,plain,
( unit = e1
| unit = e0
| op(e3,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_64]),c_0_148]) ).
cnf(c_0_158,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_159,plain,
( op(e2,e0) != e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_123,c_0_65]) ).
cnf(c_0_160,plain,
( unit = e0
| unit = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_149,c_0_50]) ).
cnf(c_0_161,plain,
( unit = e0
| unit = e1
| op(e1,e1) = e4
| op(e0,e1) = e4
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
cnf(c_0_162,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_163,plain,
( epred5_0
| epred12_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_153]),c_0_54]),c_0_85]) ).
cnf(c_0_164,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_165,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_166,plain,
( op(e1,e1) != e4
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_167,plain,
( op(e3,e0) != e4
| unit = e0
| unit = e1
| op(e0,e3) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_168,plain,
( unit = e0
| unit = e1
| op(e0,e0) = e4
| op(e1,e0) = e4
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_158]),c_0_159]) ).
cnf(c_0_169,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_170,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_171,plain,
( unit = e1
| unit = e0
| op(e0,e1) = e4
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_61]) ).
cnf(c_0_172,plain,
( op(e0,e1) != e4
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_162,c_0_70]) ).
cnf(c_0_173,plain,
( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_174,plain,
( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_175,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_176,plain,
( epred11_0
<=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_177,plain,
( epred5_0
| epred12_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_163]) ).
cnf(c_0_178,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_179,plain,
op(e3,e0) != e2,
inference(rw,[status(thm)],[c_0_164,c_0_34]) ).
cnf(c_0_180,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_181,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_165,c_0_13]) ).
cnf(c_0_182,plain,
( epred5_0
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_166,c_0_79]) ).
cnf(c_0_183,plain,
( unit = e1
| unit = e0
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_184,plain,
( op(e1,e0) != e4
| epred5_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_79]) ).
cnf(c_0_185,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_186,plain,
( unit = e0
| unit = e1
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_170,c_0_50]) ).
cnf(c_0_187,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_188,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_189,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_190,plain,
( unit = e0
| unit = e1
| op(e3,e1) = e0
| op(e3,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_171]),c_0_172]) ).
cnf(c_0_191,plain,
( op(e3,e0) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_34]),c_0_40]),c_0_56]) ).
cnf(c_0_192,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_34]),c_0_44]) ).
cnf(c_0_193,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_34]),c_0_35]) ).
fof(c_0_194,plain,
( epred12_0
=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| epred11_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_86]),c_0_176]) ).
cnf(c_0_195,plain,
( epred5_0
| epred12_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_163]) ).
cnf(c_0_196,plain,
( op(e0,e1) != e2
| epred5_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_177]) ).
cnf(c_0_197,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_198,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_199,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_200,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_201,plain,
( epred5_0
| unit = e0
| unit = e1
| op(e0,e0) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_46]),c_0_35]),c_0_133]),c_0_184]) ).
cnf(c_0_202,plain,
( op(e0,e2) != e1
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_203,plain,
( op(e0,e1) != e1
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_187,c_0_160]) ).
cnf(c_0_204,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_205,plain,
( unit = e0
| unit = e1
| op(e3,e2) = e3 ),
inference(spm,[status(thm)],[c_0_188,c_0_50]) ).
cnf(c_0_206,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_207,plain,
( unit = e1
| unit = e0
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_160]) ).
cnf(c_0_208,plain,
( op(e3,e0) = e3
| op(e3,e2) = e3
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_45]) ).
cnf(c_0_209,plain,
( op(e3,e0) = e3
| op(e3,e2) = e3
| op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_193]),c_0_133]) ).
fof(c_0_210,plain,
( ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e1) = e3
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e3) != e0
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(op(e3,e0),e0) = e3
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e1) = e3
| op(e2,e3) != op(e3,e2) )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e3) != e2 )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e2) = e3 )
& ( ~ epred12_0
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_194])])]) ).
cnf(c_0_211,plain,
( epred5_0
| epred12_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_195]),c_0_196]) ).
cnf(c_0_212,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[c_0_197,c_0_37]) ).
cnf(c_0_213,plain,
( op(e0,e0) != e4
| op(e3,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_214,plain,
( epred5_0
| unit = e1
| unit = e0
| op(e0,e0) = e1
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_46]),c_0_202]),c_0_203]) ).
cnf(c_0_215,plain,
( op(e3,e0) != e3
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_216,plain,
( op(e3,e0) != e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_217,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_46]) ).
cnf(c_0_218,plain,
( op(e3,e1) = e1
| op(e3,e0) = e1
| op(e3,e0) = e3
| op(e3,e1) = e4
| op(e3,e0) = e4
| op(e3,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_46]),c_0_133]) ).
cnf(c_0_219,plain,
( ~ epred12_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_220,plain,
( epred5_0
| epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_211]),c_0_35]) ).
cnf(c_0_221,plain,
( op(e3,e0) != e1
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_156,c_0_212]) ).
cnf(c_0_222,plain,
( epred5_0
| unit = e0
| unit = e1
| op(e3,e0) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_223,plain,
( op(e3,e1) = e4
| op(e3,e0) = e4
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_133]),c_0_45]) ).
cnf(c_0_224,plain,
( op(op(e3,e1),e3) != e1
| op(e3,e2) != op(e2,e3)
| op(e3,e0) != op(e0,e3)
| epred5_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_225,plain,
( epred5_0
| unit = e1
| unit = e0
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_226,plain,
( epred5_0
| op(e3,e0) = e3
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_223]),c_0_46]),c_0_85]) ).
cnf(c_0_227,plain,
( op(e0,e3) != e1
| op(op(e3,e1),e3) != e1
| op(e3,e2) != op(e2,e3)
| epred5_0
| epred11_0
| unit = e1
| unit = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_224,c_0_222]) ).
cnf(c_0_228,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_229,plain,
( epred5_0
| unit = e1
| unit = e0
| op(e0,e0) = e1
| op(e0,e3) = e1
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_225]),c_0_45]) ).
cnf(c_0_230,plain,
( epred5_0
| unit = e0
| unit = e1
| op(e3,e0) = e4
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_226]),c_0_61]),c_0_215]) ).
cnf(c_0_231,plain,
( op(e0,e3) != e1
| op(op(e3,e1),e3) != e1
| epred5_0
| epred11_0
| unit = e0
| unit = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_205]),c_0_77]) ).
cnf(c_0_232,plain,
( epred5_0
| unit = e0
| unit = e1
| op(e0,e3) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_186]) ).
cnf(c_0_233,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_234,plain,
op(e4,e0) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_235,plain,
( epred5_0
| unit = e1
| unit = e0
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_167,c_0_230]) ).
cnf(c_0_236,plain,
( op(op(e3,e1),e3) != e1
| epred5_0
| epred11_0
| unit = e1
| unit = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_237,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_238,plain,
op(e3,e3) != e2,
inference(rw,[status(thm)],[c_0_233,c_0_34]) ).
cnf(c_0_239,plain,
( op(e4,e0) != e2
| unit = e0
| unit = e1
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_234,c_0_75]) ).
cnf(c_0_240,plain,
( op(e0,e0) != e1
| epred5_0
| unit = e0
| unit = e1
| op(e0,e3) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_198,c_0_235]) ).
cnf(c_0_241,plain,
( epred5_0
| epred11_0
| unit = e0
| unit = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_207]),c_0_232]) ).
cnf(c_0_242,plain,
( op(e4,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_243,plain,
( unit = e1
| unit = e0
| op(e4,e3) = e0
| op(e4,e0) = e0 ),
inference(spm,[status(thm)],[c_0_239,c_0_127]) ).
cnf(c_0_244,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_245,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_246,plain,
( epred5_0
| epred11_0
| unit = e1
| unit = e0
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_247,plain,
op(e3,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_248,plain,
( unit = e0
| unit = e1
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2
| op(e4,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_249,plain,
( ~ epred12_0
| op(op(e3,e0),e3) != e0
| op(e2,e3) != op(e3,e2)
| epred11_0
| op(op(e3,e1),e1) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_250,plain,
( op(e0,e3) != e4
| op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4 ),
inference(spm,[status(thm)],[c_0_245,c_0_193]) ).
cnf(c_0_251,plain,
( epred5_0
| epred11_0
| unit = e0
| unit = e1
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_246]),c_0_46]),c_0_35]),c_0_133]) ).
cnf(c_0_252,plain,
( op(e3,e2) != e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_247,c_0_64]) ).
cnf(c_0_253,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_254,plain,
( unit = e1
| unit = e0
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_248]),c_0_137]) ).
cnf(c_0_255,plain,
op(e0,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_256,plain,
( op(op(e3,e0),e3) != e0
| op(e3,e2) != op(e2,e3)
| epred5_0
| epred11_0
| op(op(e3,e1),e1) = e3 ),
inference(spm,[status(thm)],[c_0_249,c_0_220]) ).
cnf(c_0_257,plain,
( epred5_0
| epred11_0
| unit = e1
| unit = e0
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]) ).
cnf(c_0_258,plain,
( op(e1,e3) != e2
| unit = e0
| unit = e1
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_253,c_0_75]) ).
cnf(c_0_259,plain,
( unit = e1
| unit = e0
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_254]),c_0_56]) ).
cnf(c_0_260,plain,
( op(e0,e3) != e2
| unit = e0
| unit = e1
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_255,c_0_75]) ).
cnf(c_0_261,plain,
( op(op(e3,e0),e3) != e0
| epred5_0
| epred11_0
| unit = e1
| unit = e0
| op(op(e3,e1),e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_205]),c_0_77]) ).
cnf(c_0_262,plain,
( epred5_0
| epred11_0
| unit = e0
| unit = e1
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_257]),c_0_46]),c_0_85]) ).
cnf(c_0_263,plain,
( unit = e1
| unit = e0
| op(e4,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).
cnf(c_0_264,plain,
op(e0,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_265,plain,
( epred5_0
| epred11_0
| unit = e0
| unit = e1
| op(op(e3,e1),e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).
cnf(c_0_266,plain,
op(e0,e1) != e3,
inference(rw,[status(thm)],[c_0_264,c_0_17]) ).
cnf(c_0_267,plain,
( epred5_0
| epred11_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_207]),c_0_266]) ).
fof(c_0_268,plain,
( epred10_0
<=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_269,plain,
( epred5_0
| epred11_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_267]),c_0_54]),c_0_85]) ).
fof(c_0_270,plain,
( epred11_0
=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| epred10_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_176]),c_0_268]) ).
cnf(c_0_271,plain,
( epred5_0
| epred11_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_269]) ).
fof(c_0_272,plain,
( ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e2) != e3
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e3) = e2
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) != e2
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e2) != e3
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e3) = e2
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(op(e2,e2),e2) = e2
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e2) != e3
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e3) = e2
| op(e4,e2) != op(e2,e4) )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e4) = e2 )
& ( ~ epred11_0
| epred10_0
| op(e2,e2) != op(e2,e2)
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_270])])]) ).
cnf(c_0_273,plain,
( epred5_0
| epred11_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_269]) ).
cnf(c_0_274,plain,
( op(e0,e1) != e2
| epred5_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_271]) ).
cnf(c_0_275,plain,
( ~ epred11_0
| $false
| epred10_0
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_276,plain,
( epred5_0
| epred11_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_273]),c_0_274]) ).
cnf(c_0_277,plain,
( ~ epred11_0
| epred10_0
| op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2 ),
inference(cn,[status(thm)],[c_0_275]) ).
cnf(c_0_278,plain,
( epred5_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_276]),c_0_35]) ).
cnf(c_0_279,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_280,plain,
( epred5_0
| epred10_0
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_281,plain,
( op(e0,e4) = e4
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_54]),c_0_34]),c_0_13]),c_0_85]),c_0_35]),c_0_46]) ).
cnf(c_0_282,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_283,plain,
( epred5_0
| epred10_0
| op(e0,e4) = e4
| op(op(e2,e3),e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_13]),c_0_44]) ).
cnf(c_0_284,plain,
( op(e0,e4) != e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_282,c_0_65]) ).
cnf(c_0_285,plain,
( epred5_0
| epred10_0
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_77]),c_0_238]),c_0_284]) ).
fof(c_0_286,plain,
( epred9_0
<=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_287,plain,
( epred5_0
| epred10_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_285]),c_0_54]),c_0_85]) ).
fof(c_0_288,plain,
( epred10_0
=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| epred9_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_268]),c_0_286]) ).
cnf(c_0_289,plain,
( epred5_0
| epred10_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_287]) ).
fof(c_0_290,plain,
( ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e2) != e0
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e0) = e2
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e1) != e4
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e2) != e0
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e0) = e2
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e2) != e0
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e0) = e2
| op(e1,e2) != op(e2,e1) )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e2) != e1 )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e1) = e2 )
& ( ~ epred10_0
| epred9_0
| op(e4,e1) != op(e1,e4)
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_288])])]) ).
cnf(c_0_291,plain,
( epred5_0
| epred10_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_287]) ).
cnf(c_0_292,plain,
( op(e0,e1) != e2
| epred5_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_289]) ).
cnf(c_0_293,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_294,plain,
( ~ epred10_0
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_295,plain,
( epred5_0
| epred10_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_291]),c_0_292]) ).
cnf(c_0_296,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_17]),c_0_13]),c_0_56]),c_0_44]) ).
cnf(c_0_297,plain,
( ~ epred10_0
| epred9_0
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_54]),c_0_181]) ).
cnf(c_0_298,plain,
( epred5_0
| epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_295]),c_0_35]) ).
cnf(c_0_299,plain,
( unit = e0
| unit = e1
| op(e4,e0) = e2
| op(e4,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_263]),c_0_244]) ).
cnf(c_0_300,plain,
( epred5_0
| epred9_0
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_301,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_302,plain,
( unit = e1
| unit = e0
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_299]),c_0_35]) ).
cnf(c_0_303,plain,
( epred5_0
| epred9_0
| unit = e1
| unit = e0
| op(e1,e1) = e2
| op(op(e2,e0),e0) = e2 ),
inference(spm,[status(thm)],[c_0_300,c_0_160]) ).
cnf(c_0_304,plain,
( op(e0,e0) != e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_305,plain,
( epred5_0
| epred9_0
| unit = e0
| unit = e1
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_137]),c_0_304]) ).
cnf(c_0_306,plain,
( epred5_0
| epred9_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_305]),c_0_35]) ).
fof(c_0_307,plain,
( epred8_0
<=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_308,plain,
( epred5_0
| epred9_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_306]),c_0_54]),c_0_85]) ).
fof(c_0_309,plain,
( epred9_0
=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| epred8_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_286]),c_0_307]) ).
cnf(c_0_310,plain,
( epred5_0
| epred9_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_308]) ).
fof(c_0_311,plain,
( ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e1) != e2
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e2) = e1
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) != e1
| op(e2,e1) != op(e1,e2)
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e1) != e2
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e2) = e1
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(op(e1,e1),e1) = e1
| op(e2,e1) != op(e1,e2)
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e1) != e2
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e2) = e1
| op(e3,e1) != op(e1,e3) )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e1) != e3 )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e3) = e1 )
& ( ~ epred9_0
| epred8_0
| op(e1,e1) != op(e1,e1)
| op(e2,e1) != op(e1,e2)
| op(e3,e1) != op(e1,e3) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_309])])]) ).
cnf(c_0_312,plain,
( epred5_0
| epred9_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_308]) ).
cnf(c_0_313,plain,
( op(e0,e1) != e2
| epred5_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_310]) ).
cnf(c_0_314,plain,
( ~ epred9_0
| $false
| op(e2,e1) != op(e1,e2)
| epred8_0
| op(op(e1,e3),e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_315,plain,
( epred5_0
| epred9_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_312]),c_0_313]) ).
cnf(c_0_316,plain,
( ~ epred9_0
| op(e2,e1) != op(e1,e2)
| epred8_0
| op(op(e1,e3),e3) = e1 ),
inference(cn,[status(thm)],[c_0_314]) ).
cnf(c_0_317,plain,
( epred5_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_315]),c_0_35]) ).
cnf(c_0_318,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_319,plain,
( op(e2,e1) != op(e1,e2)
| epred5_0
| epred8_0
| op(op(e1,e3),e3) = e1 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_320,plain,
( op(e1,e3) != e3
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_318,c_0_77]) ).
cnf(c_0_321,plain,
( epred5_0
| epred8_0
| unit = e1
| unit = e0
| op(op(e1,e3),e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_160]),c_0_186]) ).
cnf(c_0_322,plain,
( epred5_0
| unit = e0
| unit = e1
| op(e1,e3) = e1
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_320,c_0_182]) ).
cnf(c_0_323,plain,
( epred5_0
| epred8_0
| unit = e0
| unit = e1
| op(e2,e3) = e1
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_324,plain,
( epred5_0
| epred8_0
| unit = e1
| unit = e0
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_323]),c_0_45]) ).
cnf(c_0_325,plain,
( epred5_0
| epred8_0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_324]),c_0_186]) ).
cnf(c_0_326,plain,
( epred5_0
| epred8_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_325]),c_0_54]),c_0_85]) ).
fof(c_0_327,plain,
( epred7_0
<=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_328,plain,
( epred5_0
| epred8_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_326]) ).
fof(c_0_329,plain,
( epred8_0
=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| epred7_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_307]),c_0_327]) ).
cnf(c_0_330,plain,
( epred5_0
| epred8_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_326]) ).
cnf(c_0_331,plain,
( op(e0,e1) != e2
| epred5_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_328]) ).
fof(c_0_332,plain,
( ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e4) = e0
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e0) != e3
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(op(e0,e3),e3) = e0
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e4) = e0
| op(e0,e1) != op(e1,e0) )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e1) != e0 )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e0) = e1 )
& ( ~ epred8_0
| epred7_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_329])])]) ).
cnf(c_0_333,plain,
( epred5_0
| epred8_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_330]),c_0_331]) ).
cnf(c_0_334,plain,
( ~ epred8_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_332]) ).
cnf(c_0_335,plain,
( epred5_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_333]),c_0_35]) ).
cnf(c_0_336,plain,
( epred5_0
| unit = e1
| unit = e0
| op(e3,e1) = e4
| op(e3,e0) = e4
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_201]),c_0_252]) ).
cnf(c_0_337,plain,
op(e1,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_338,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_193]),c_0_46]) ).
cnf(c_0_339,plain,
( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_340,plain,
( epred5_0
| unit = e0
| unit = e1
| op(e0,e0) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_336]),c_0_46]),c_0_85]) ).
cnf(c_0_341,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_342,plain,
op(e1,e1) != e3,
inference(rw,[status(thm)],[c_0_337,c_0_17]) ).
cnf(c_0_343,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_344,plain,
( unit = e1
| unit = e0
| op(e3,e1) = e4
| op(e3,e0) = e4
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_338]),c_0_133]) ).
cnf(c_0_345,plain,
( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| epred5_0
| epred7_0
| unit = e1
| unit = e0
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_201]) ).
cnf(c_0_346,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_54]),c_0_342]),c_0_55]) ).
cnf(c_0_347,plain,
( op(e1,e2) != e3
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_343,c_0_205]) ).
cnf(c_0_348,plain,
( unit = e0
| unit = e1
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_344]),c_0_85]) ).
cnf(c_0_349,plain,
( op(op(e1,e0),e1) != e0
| epred5_0
| epred7_0
| unit = e0
| unit = e1
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_82]),c_0_340]) ).
cnf(c_0_350,plain,
( unit = e0
| unit = e1
| op(e1,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_346]),c_0_347]) ).
cnf(c_0_351,plain,
( unit = e0
| unit = e1
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_223]),c_0_85]),c_0_215]) ).
cnf(c_0_352,plain,
( op(e0,e0) != e4
| unit = e1
| unit = e0
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_198,c_0_348]) ).
cnf(c_0_353,plain,
( epred5_0
| epred7_0
| unit = e1
| unit = e0
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_207]) ).
cnf(c_0_354,plain,
( unit = e0
| unit = e1
| op(e3,e0) = e4
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_351]),c_0_61]) ).
cnf(c_0_355,plain,
( epred5_0
| epred7_0
| unit = e0
| unit = e1
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_356,plain,
( ~ epred8_0
| op(e3,e0) != op(e0,e3)
| op(op(e1,e0),e1) != e0
| epred7_0
| op(op(e0,e4),e4) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_332]) ).
cnf(c_0_357,plain,
( op(e0,e0) != e4
| unit = e1
| unit = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_198,c_0_354]) ).
cnf(c_0_358,plain,
( epred5_0
| epred7_0
| unit = e1
| unit = e0
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_355]),c_0_45]) ).
cnf(c_0_359,plain,
( op(op(e1,e0),e1) != e0
| op(e3,e0) != op(e0,e3)
| epred5_0
| epred7_0
| op(op(e0,e4),e4) = e0 ),
inference(spm,[status(thm)],[c_0_356,c_0_335]) ).
cnf(c_0_360,plain,
( epred5_0
| epred7_0
| unit = e0
| unit = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_357,c_0_353]) ).
cnf(c_0_361,plain,
( epred5_0
| epred7_0
| unit = e0
| unit = e1
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_358]),c_0_186]) ).
cnf(c_0_362,plain,
( op(op(e1,e0),e1) != e0
| epred5_0
| epred7_0
| unit = e1
| unit = e0
| op(op(e0,e4),e4) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]) ).
cnf(c_0_363,plain,
( epred5_0
| epred7_0
| unit = e0
| unit = e1
| op(op(e0,e4),e4) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_350]),c_0_207]) ).
cnf(c_0_364,plain,
( epred5_0
| epred7_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_82]),c_0_34]),c_0_244]) ).
cnf(c_0_365,plain,
( epred5_0
| epred7_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_364]),c_0_54]),c_0_85]) ).
fof(c_0_366,plain,
( epred7_0
=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
inference(split_equiv,[status(thm)],[c_0_327]) ).
cnf(c_0_367,plain,
( epred5_0
| epred7_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_365]) ).
fof(c_0_368,plain,
( ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e0) != e1
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(op(e0,e0),e0) != e0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e0) != e1
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(op(e0,e0),e0) = e0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e0) != e1
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2) )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e0) != e2 )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e2) = e0 )
& ( ~ epred7_0
| op(e0,e0) != op(e0,e0)
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_366])])]) ).
cnf(c_0_369,plain,
( epred5_0
| epred7_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_365]) ).
cnf(c_0_370,plain,
( op(e0,e1) != e2
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_367]) ).
cnf(c_0_371,plain,
( ~ epred7_0
| $false
| op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_368]) ).
cnf(c_0_372,plain,
( epred5_0
| epred7_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_369]),c_0_370]) ).
cnf(c_0_373,plain,
( ~ epred7_0
| op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0 ),
inference(cn,[status(thm)],[c_0_371]) ).
cnf(c_0_374,plain,
( epred5_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_372]),c_0_35]) ).
cnf(c_0_375,plain,
( op(e2,e0) != op(e0,e2)
| epred5_0
| op(op(e0,e1),e1) = e0 ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_376,plain,
( unit = e1
| unit = e0
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_160]),c_0_44]) ).
cnf(c_0_377,plain,
( epred5_0
| unit = e1
| unit = e0
| op(op(e0,e1),e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_137]),c_0_143]) ).
cnf(c_0_378,plain,
( epred5_0
| unit = e0
| unit = e1
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_376]),c_0_35]) ).
cnf(c_0_379,plain,
( op(e2,e1) != e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_189,c_0_207]) ).
fof(c_0_380,plain,
( epred4_0
<=> ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_381,plain,
( epred5_0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).
fof(c_0_382,plain,
( epred5_0
=> ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| epred4_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_19]),c_0_380]) ).
cnf(c_0_383,plain,
( epred5_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_381]),c_0_54]),c_0_85]) ).
cnf(c_0_384,plain,
op(e4,e2) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_385,plain,
op(e4,e1) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_386,plain,
( epred13_0
| unit = e1
| unit = e0
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_84]),c_0_85]),c_0_152]) ).
fof(c_0_387,plain,
( ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e3,e1) != e3
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e3,e1) != e3
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e3,e1) != e3
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e1,e1) = e3
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e1,e1) = e3
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e1,e1) = e3
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e3,e3) = e1
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e3,e3) = e1
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e0) != e3
| op(e3,e3) = e1
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e3,e1) != e3
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e3,e1) != e3
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e3,e1) != e3
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e3,e3) = e1
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e3,e3) = e1
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e3,e3) = e1
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e3,e1) != e3
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e3,e1) != e3
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e3,e1) != e3
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e1,e1) = e3
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e1,e1) = e3
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e1,e1) = e3
| op(e3,e3) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e2) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e3,e3) = e1
| op(e2,e2) = e3 )
& ( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_382])])]) ).
cnf(c_0_388,plain,
( epred5_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_383]) ).
cnf(c_0_389,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_390,plain,
op(e4,e2) != e1,
inference(rw,[status(thm)],[c_0_384,c_0_13]) ).
cnf(c_0_391,plain,
op(e4,e2) != e3,
inference(rw,[status(thm)],[c_0_385,c_0_17]) ).
cnf(c_0_392,plain,
( epred13_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_386]),c_0_61]) ).
cnf(c_0_393,plain,
( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e1,e1) = e3
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_387]) ).
cnf(c_0_394,plain,
( epred5_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_383]) ).
cnf(c_0_395,plain,
( op(e0,e1) != e2
| epred5_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_388]) ).
cnf(c_0_396,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_389,c_0_390]),c_0_391]) ).
cnf(c_0_397,plain,
( epred13_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_392]),c_0_54]),c_0_85]) ).
fof(c_0_398,plain,
( epred3_0
<=> ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_399,plain,
( ~ epred5_0
| epred4_0
| op(e3,e3) = e0
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[c_0_393,c_0_342]) ).
cnf(c_0_400,plain,
( epred5_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_394]),c_0_395]) ).
cnf(c_0_401,plain,
( ~ epred14_0
| op(e3,e4) != op(e4,e3)
| epred13_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_402,plain,
( op(e4,e0) != e4
| op(e4,e2) = e0
| op(e4,e2) = e2 ),
inference(spm,[status(thm)],[c_0_113,c_0_396]) ).
cnf(c_0_403,plain,
( epred13_0
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_397]) ).
fof(c_0_404,plain,
( epred4_0
=> ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_398]) ).
cnf(c_0_405,plain,
op(e3,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_406,plain,
( ~ epred5_0
| epred4_0
| op(e3,e3) = e0 ),
inference(sr,[status(thm)],[c_0_399,c_0_238]) ).
cnf(c_0_407,plain,
epred5_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_400]),c_0_35]) ).
cnf(c_0_408,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_409,plain,
( op(e4,e3) != e2
| epred13_0
| op(e3,e1) = e4
| op(op(e4,e2),e2) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_17]),c_0_34]),c_0_48])]) ).
cnf(c_0_410,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_411,plain,
( epred13_0
| op(e4,e2) = e2
| op(e4,e2) = e0 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_412,plain,
( epred13_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_397]) ).
cnf(c_0_413,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_414,plain,
( epred13_0
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_32,c_0_397]) ).
fof(c_0_415,plain,
( ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e2
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e2,e3) != e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e3,e3) = e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) != e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e3) != e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e2,e2) = e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e4) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e4) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_404])])]) ).
cnf(c_0_416,plain,
( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_387]) ).
cnf(c_0_417,plain,
( op(e3,e3) != e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_405,c_0_263]) ).
cnf(c_0_418,plain,
( epred4_0
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_407])]) ).
cnf(c_0_419,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_420,plain,
op(e3,e2) != e2,
inference(rw,[status(thm)],[c_0_408,c_0_34]) ).
cnf(c_0_421,plain,
( epred13_0
| op(e3,e1) = e4
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(op(e4,e2),e2) = e4 ),
inference(spm,[status(thm)],[c_0_409,c_0_296]) ).
cnf(c_0_422,plain,
( epred13_0
| op(e4,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412]) ).
cnf(c_0_423,plain,
( op(e0,e2) != e4
| epred13_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_424,plain,
( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_415]) ).
cnf(c_0_425,plain,
( ~ epred5_0
| epred4_0
| op(e0,e0) = e3
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[c_0_416,c_0_342]) ).
cnf(c_0_426,plain,
( epred4_0
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_427,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_428,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[c_0_419,c_0_420]) ).
cnf(c_0_429,plain,
( epred13_0
| op(e4,e0) = e2
| op(e3,e1) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_244]),c_0_423]) ).
cnf(c_0_430,plain,
( ~ epred4_0
| op(e2,e2) != e2
| epred3_0
| op(e2,e2) = e1
| op(e3,e3) = e2
| op(e4,e4) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_415]) ).
cnf(c_0_431,plain,
( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_13]),c_0_44]) ).
cnf(c_0_432,plain,
( ~ epred5_0
| epred4_0
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[c_0_425,c_0_238]) ).
cnf(c_0_433,plain,
( epred4_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_426]),c_0_54]),c_0_85]) ).
cnf(c_0_434,plain,
( op(e3,e1) != e4
| op(e3,e2) = e3
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_435,plain,
( epred13_0
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_429]),c_0_35]) ).
cnf(c_0_436,plain,
( op(e3,e2) != e0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_422]) ).
cnf(c_0_437,plain,
( ~ epred4_0
| epred3_0
| op(e2,e2) = e1
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_13]),c_0_44]),c_0_431]) ).
cnf(c_0_438,plain,
( epred4_0
| op(e0,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_407])]) ).
cnf(c_0_439,plain,
( epred4_0
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_129,c_0_433]) ).
cnf(c_0_440,plain,
( epred13_0
| op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_436]) ).
cnf(c_0_441,plain,
( epred13_0
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_188,c_0_397]) ).
cnf(c_0_442,plain,
( ~ epred4_0
| epred3_0
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[c_0_437,c_0_238]) ).
cnf(c_0_443,plain,
epred4_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_55]) ).
cnf(c_0_444,plain,
( ~ epred13_0
| $false
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0)
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_445,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_446,plain,
( epred13_0
| op(e3,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_440]),c_0_441]) ).
cnf(c_0_447,plain,
( unit = e0
| unit = e1
| op(e2,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_50]) ).
cnf(c_0_448,plain,
( epred3_0
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_443])]) ).
cnf(c_0_449,plain,
( ~ epred13_0
| op(e4,e3) != op(e3,e4)
| op(e4,e0) != op(e0,e4)
| epred12_0 ),
inference(cn,[status(thm)],[c_0_444]) ).
cnf(c_0_450,plain,
( op(e2,e2) != e1
| epred13_0 ),
inference(spm,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_451,plain,
( epred3_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_448]),c_0_44]) ).
cnf(c_0_452,plain,
( ~ epred13_0
| op(e4,e3) != e2
| op(e4,e0) != op(e0,e4)
| epred12_0 ),
inference(rw,[status(thm)],[c_0_449,c_0_34]) ).
cnf(c_0_453,plain,
( epred3_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_450,c_0_448]) ).
cnf(c_0_454,plain,
( epred3_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_451]),c_0_54]),c_0_85]) ).
cnf(c_0_455,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_456,plain,
( op(e4,e3) != e2
| op(e4,e0) != op(e0,e4)
| epred3_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_452,c_0_453]) ).
cnf(c_0_457,plain,
( epred3_0
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_454]) ).
cnf(c_0_458,plain,
( epred3_0
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_32,c_0_454]) ).
cnf(c_0_459,plain,
( op(e4,e0) != e4
| op(e4,e3) = e0
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_234,c_0_52]) ).
cnf(c_0_460,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_17]),c_0_13]),c_0_55]),c_0_61]) ).
cnf(c_0_461,plain,
( op(e4,e3) != e2
| epred3_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_458]) ).
cnf(c_0_462,plain,
( epred3_0
| op(e4,e3) = e2
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_459,c_0_457]) ).
cnf(c_0_463,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e0) = e2
| op(e4,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_296]),c_0_244]) ).
cnf(c_0_464,plain,
( epred3_0
| op(e4,e2) = e2
| op(e4,e2) = e0 ),
inference(spm,[status(thm)],[c_0_402,c_0_457]) ).
cnf(c_0_465,plain,
( epred3_0
| epred12_0
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_466,plain,
( op(e0,e2) != e2
| op(e4,e0) = e2
| op(e4,e2) = e0
| op(e4,e0) = e0 ),
inference(spm,[status(thm)],[c_0_410,c_0_463]) ).
cnf(c_0_467,plain,
( epred3_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_454]) ).
cnf(c_0_468,plain,
( op(e4,e0) != e2
| epred3_0
| op(e4,e2) = e0 ),
inference(spm,[status(thm)],[c_0_113,c_0_464]) ).
cnf(c_0_469,plain,
( op(e4,e2) != e0
| epred3_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_465]) ).
cnf(c_0_470,plain,
( epred3_0
| op(e4,e0) = e0
| op(e4,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_468]) ).
cnf(c_0_471,plain,
( op(e4,e0) != e0
| epred3_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_465]) ).
cnf(c_0_472,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_434,c_0_70]) ).
cnf(c_0_473,plain,
( epred3_0
| op(e4,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_464]),c_0_467]) ).
cnf(c_0_474,plain,
( ~ epred12_0
| op(e0,e3) != op(e3,e0)
| epred11_0
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_475,plain,
( epred3_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_471]) ).
cnf(c_0_476,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_477,plain,
( op(e3,e0) != e3
| op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_204,c_0_472]) ).
cnf(c_0_478,plain,
( epred3_0
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_188,c_0_454]) ).
cnf(c_0_479,plain,
( op(e3,e2) != e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_473]) ).
cnf(c_0_480,plain,
( op(e3,e0) != op(e0,e3)
| epred3_0
| epred11_0
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 ),
inference(spm,[status(thm)],[c_0_474,c_0_475]) ).
cnf(c_0_481,plain,
( epred3_0
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_22,c_0_454]) ).
cnf(c_0_482,plain,
( op(e4,e0) != e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(spm,[status(thm)],[c_0_113,c_0_476]) ).
cnf(c_0_483,plain,
( op(e0,e2) != e4
| epred3_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_458]) ).
cnf(c_0_484,plain,
( epred3_0
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_479]) ).
cnf(c_0_485,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_486,plain,
( op(e0,e4) != e4
| op(e2,e4) = e3 ),
inference(spm,[status(thm)],[c_0_282,c_0_124]) ).
cnf(c_0_487,plain,
( epred3_0
| epred11_0
| op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_478]),c_0_481]) ).
cnf(c_0_488,plain,
( epred3_0
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_457]),c_0_483]) ).
cnf(c_0_489,plain,
( epred3_0
| op(e3,e1) = e0
| op(e3,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_484]),c_0_448]) ).
cnf(c_0_490,plain,
( epred3_0
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_149,c_0_454]) ).
cnf(c_0_491,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(sr,[status(thm)],[c_0_485,c_0_391]) ).
cnf(c_0_492,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_493,plain,
op(e2,e2) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_494,plain,
( epred3_0
| op(e2,e4) = e3 ),
inference(spm,[status(thm)],[c_0_486,c_0_458]) ).
cnf(c_0_495,plain,
( epred3_0
| epred11_0
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(op(e3,e1),e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_391]) ).
cnf(c_0_496,plain,
( epred3_0
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_489]),c_0_490]) ).
cnf(c_0_497,plain,
( op(e3,e0) != e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_204,c_0_491]) ).
cnf(c_0_498,plain,
( op(e0,e2) != e3
| epred3_0 ),
inference(spm,[status(thm)],[c_0_492,c_0_481]) ).
cnf(c_0_499,plain,
( op(e2,e2) != e3
| epred3_0 ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_500,plain,
( epred3_0
| epred11_0
| op(e2,e2) = e4
| op(e1,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_266]) ).
cnf(c_0_501,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_502,plain,
( ~ epred11_0
| $false
| op(op(e2,e4),e2) != e4
| epred10_0
| op(op(e2,e3),e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_503,plain,
( epred3_0
| op(e1,e2) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_478]),c_0_498]),c_0_499]) ).
cnf(c_0_504,plain,
( epred3_0
| epred11_0
| op(e1,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_500]),c_0_46]) ).
cnf(c_0_505,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[c_0_501,c_0_146]) ).
cnf(c_0_506,plain,
( ~ epred11_0
| op(op(e2,e4),e2) != e4
| epred10_0
| op(op(e2,e3),e3) = e2 ),
inference(cn,[status(thm)],[c_0_502]) ).
cnf(c_0_507,plain,
( epred3_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_133]) ).
cnf(c_0_508,plain,
( op(e4,e2) != e0
| op(e0,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_51,c_0_505]) ).
cnf(c_0_509,plain,
( op(op(e2,e4),e2) != e4
| epred3_0
| epred10_0
| op(op(e2,e3),e3) = e2 ),
inference(spm,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_510,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_511,plain,
( epred3_0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_508,c_0_473]) ).
cnf(c_0_512,plain,
( op(e3,e2) != e4
| epred3_0
| epred10_0
| op(op(e2,e3),e3) = e2 ),
inference(spm,[status(thm)],[c_0_509,c_0_494]) ).
cnf(c_0_513,plain,
( op(e3,e1) != e0
| epred3_0
| op(e0,e3) = e0
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_510,c_0_511]) ).
cnf(c_0_514,plain,
( epred3_0
| epred10_0
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(op(e2,e3),e3) = e2 ),
inference(spm,[status(thm)],[c_0_512,c_0_488]) ).
cnf(c_0_515,plain,
( epred3_0
| op(e2,e3) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_513,c_0_496]) ).
cnf(c_0_516,plain,
( epred3_0
| epred10_0
| op(e0,e3) = e2
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_517,plain,
( epred3_0
| epred10_0
| op(e0,e3) = e0
| op(e1,e2) = e4
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_516]),c_0_46]) ).
cnf(c_0_518,plain,
( epred3_0
| epred10_0
| op(e0,e3) = e2
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_517]),c_0_133]) ).
cnf(c_0_519,plain,
( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_415]) ).
cnf(c_0_520,plain,
( ~ epred10_0
| op(e0,e2) != op(e2,e0)
| epred9_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e1),e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_521,plain,
( epred3_0
| epred10_0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_518]),c_0_56]) ).
cnf(c_0_522,plain,
( op(e4,e0) != e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference(spm,[status(thm)],[c_0_234,c_0_139]) ).
cnf(c_0_523,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_524,plain,
( ~ epred4_0
| op(e2,e2) != e2
| epred3_0
| op(e1,e1) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_415]) ).
cnf(c_0_525,plain,
( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_519,c_0_13]),c_0_44]) ).
cnf(c_0_526,plain,
( ~ epred10_0
| op(e2,e0) != op(e0,e2)
| epred9_0
| op(op(e2,e1),e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_54]),c_0_181]) ).
cnf(c_0_527,plain,
( epred3_0
| epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_521]),c_0_55]) ).
cnf(c_0_528,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_529,plain,
( op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e4,e0) = e0
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_522,c_0_122]) ).
cnf(c_0_530,plain,
( op(e0,e3) != e4
| epred3_0 ),
inference(spm,[status(thm)],[c_0_523,c_0_458]) ).
cnf(c_0_531,plain,
( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_524,c_0_13]),c_0_44]),c_0_525]) ).
cnf(c_0_532,plain,
( op(e2,e0) != op(e0,e2)
| epred3_0
| epred9_0
| op(op(e2,e1),e1) = e2 ),
inference(spm,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_533,plain,
( epred3_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_454]) ).
cnf(c_0_534,plain,
( op(e0,e1) != e4
| epred3_0 ),
inference(spm,[status(thm)],[c_0_528,c_0_458]) ).
cnf(c_0_535,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_536,plain,
( epred3_0
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_457]),c_0_35]),c_0_85]),c_0_530]) ).
cnf(c_0_537,plain,
( ~ epred4_0
| epred3_0
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[c_0_531,c_0_238]) ).
cnf(c_0_538,plain,
( epred3_0
| epred9_0
| op(op(e2,e1),e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_467]) ).
cnf(c_0_539,plain,
( epred3_0
| op(e1,e1) = e4
| op(e2,e1) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_496]),c_0_85]),c_0_534]) ).
cnf(c_0_540,plain,
( op(e3,e2) != e4
| epred3_0
| op(e2,e3) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_541,plain,
( ~ epred9_0
| $false
| epred8_0
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_542,plain,
( epred3_0
| op(e1,e1) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_443])]) ).
cnf(c_0_543,plain,
( epred3_0
| epred9_0
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_539]),c_0_17]),c_0_56]) ).
cnf(c_0_544,plain,
( epred3_0
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4 ),
inference(spm,[status(thm)],[c_0_540,c_0_488]) ).
cnf(c_0_545,plain,
( ~ epred9_0
| epred8_0
| op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1 ),
inference(cn,[status(thm)],[c_0_541]) ).
cnf(c_0_546,plain,
( epred3_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_35]) ).
cnf(c_0_547,plain,
( epred3_0
| op(e0,e3) = e0
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_544]),c_0_85]) ).
cnf(c_0_548,plain,
( epred3_0
| epred8_0
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 ),
inference(spm,[status(thm)],[c_0_545,c_0_546]) ).
cnf(c_0_549,plain,
( epred3_0
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_547]),c_0_46]) ).
cnf(c_0_550,plain,
( epred3_0
| epred8_0
| op(e0,e3) = e0
| op(e1,e2) = e4
| op(op(e1,e2),e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_549]),c_0_37]) ).
cnf(c_0_551,plain,
( epred3_0
| epred8_0
| op(e3,e2) = e1
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_503]),c_0_133]) ).
cnf(c_0_552,plain,
( epred3_0
| epred8_0
| op(e0,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_551]),c_0_448]) ).
cnf(c_0_553,plain,
( ~ epred8_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0)
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_332]) ).
cnf(c_0_554,plain,
( epred3_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_552]),c_0_55]) ).
cnf(c_0_555,plain,
( op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| op(e1,e0) != op(e0,e1)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_556,plain,
( epred3_0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_170,c_0_454]) ).
cnf(c_0_557,plain,
( op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred3_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_490]) ).
fof(c_0_558,plain,
( epred2_0
<=> ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_559,plain,
( ~ epred7_0
| $false
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_368]) ).
cnf(c_0_560,plain,
( op(e4,e0) != op(e0,e4)
| epred3_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_478]),c_0_481]) ).
fof(c_0_561,plain,
( epred3_0
=> ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_398]),c_0_558]) ).
cnf(c_0_562,plain,
( ~ epred7_0
| op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0 ),
inference(cn,[status(thm)],[c_0_559]) ).
cnf(c_0_563,plain,
( epred3_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_457]),c_0_458]) ).
cnf(c_0_564,plain,
op(e2,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_565,plain,
( ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e1,e4) != e1
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e1,e4) != e1
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e1,e4) != e1
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e4,e4) = e1
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e4,e4) = e1
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e4,e4) = e1
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e1,e1) = e4
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e1,e1) = e4
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e3) != e1
| op(e1,e1) = e4
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e1,e4) != e1
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e1,e4) != e1
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e1,e4) != e1
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e4,e4) = e1
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e4,e4) = e1
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e4,e4) = e1
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e1,e1) = e4
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e1,e1) = e4
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e3,e3) = e1
| op(e1,e1) = e4
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e4) != e1
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e4) != e1
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e4) != e1
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e4,e4) = e1
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e4,e4) = e1
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e4,e4) = e1
| op(e2,e2) = e0 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e1) = e4
| op(e2,e0) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e1) = e4
| op(e0,e0) = e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e1) = e4
| op(e2,e2) = e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_561])])]) ).
cnf(c_0_566,plain,
( epred3_0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 ),
inference(spm,[status(thm)],[c_0_562,c_0_563]) ).
cnf(c_0_567,plain,
( op(e2,e2) != e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_564,c_0_473]) ).
cnf(c_0_568,plain,
( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e1) = e4
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_569,plain,
( epred3_0
| op(op(e0,e1),e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_467]),c_0_567]) ).
cnf(c_0_570,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_571,plain,
( epred13_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_397]) ).
cnf(c_0_572,plain,
( op(e0,e1) != e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_412]) ).
cnf(c_0_573,plain,
( ~ epred3_0
| epred2_0
| op(e0,e0) = e2
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[c_0_568,c_0_342]) ).
cnf(c_0_574,plain,
epred3_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_490]),c_0_131]) ).
cnf(c_0_575,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_576,plain,
( op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_570,c_0_131]),c_0_342]) ).
cnf(c_0_577,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_578,plain,
( epred13_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_571]),c_0_572]) ).
cnf(c_0_579,plain,
( epred2_0
| op(e0,e0) = e2
| op(e1,e1) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_573,c_0_574])]) ).
cnf(c_0_580,plain,
( op(e0,e0) != e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_575,c_0_412]) ).
cnf(c_0_581,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_166,c_0_576]) ).
cnf(c_0_582,plain,
( op(e1,e1) != e1
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_577,c_0_160]) ).
cnf(c_0_583,plain,
( epred2_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_35]),c_0_580]) ).
cnf(c_0_584,plain,
( unit = e0
| unit = e1
| op(e1,e1) = e2
| op(e1,e3) = e1
| op(e1,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_581]),c_0_582]) ).
cnf(c_0_585,plain,
( op(e1,e1) != e2
| unit = e0
| unit = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_154,c_0_259]) ).
cnf(c_0_586,plain,
( epred2_0
| epred12_0
| op(e2,e4) = e3
| op(op(e4,e0),e0) = e4 ),
inference(spm,[status(thm)],[c_0_119,c_0_583]) ).
cnf(c_0_587,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_588,plain,
( unit = e1
| unit = e0
| op(e1,e1) = e2
| op(e0,e0) = e4
| op(e1,e0) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_183]),c_0_35]),c_0_46]) ).
cnf(c_0_589,plain,
( unit = e1
| unit = e0
| op(e0,e3) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_585,c_0_376]) ).
cnf(c_0_590,plain,
( epred2_0
| epred12_0
| unit = e0
| unit = e1
| op(e2,e4) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_302]),c_0_128]) ).
cnf(c_0_591,plain,
( op(e0,e1) != e2
| unit = e0
| unit = e1
| op(e0,e3) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(spm,[status(thm)],[c_0_587,c_0_588]) ).
cnf(c_0_592,plain,
( unit = e0
| unit = e1
| op(e0,e0) = e1
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_589]),c_0_44]),c_0_202]),c_0_203]) ).
cnf(c_0_593,plain,
( epred2_0
| epred12_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_590]),c_0_133]) ).
cnf(c_0_594,plain,
( unit = e1
| unit = e0
| op(e0,e0) = e4
| op(e1,e0) = e4
| op(e0,e3) = e4
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_591,c_0_592]) ).
cnf(c_0_595,plain,
( ~ epred3_0
| op(e2,e0) != e2
| epred2_0
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_596,plain,
( epred2_0
| epred12_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_593]),c_0_54]),c_0_85]) ).
cnf(c_0_597,plain,
( unit = e1
| unit = e0
| op(e0,e0) = e1
| op(e0,e3) = e4
| op(e0,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_594]),c_0_133]) ).
cnf(c_0_598,plain,
( ~ epred3_0
| op(e2,e0) != e2
| epred2_0
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[c_0_595,c_0_342]) ).
cnf(c_0_599,plain,
( epred2_0
| epred12_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_596]) ).
cnf(c_0_600,plain,
( unit = e0
| unit = e1
| op(e0,e0) = e1
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_597]),c_0_46]),c_0_202]),c_0_203]) ).
cnf(c_0_601,plain,
( op(e2,e0) != e2
| epred2_0
| op(e1,e1) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_598,c_0_574])]) ).
cnf(c_0_602,plain,
( epred2_0
| epred12_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_596]) ).
cnf(c_0_603,plain,
( op(e0,e1) != e2
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_599]) ).
cnf(c_0_604,plain,
( unit = e1
| unit = e0
| op(e3,e0) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_600]),c_0_215]),c_0_216]) ).
cnf(c_0_605,plain,
( epred2_0
| epred12_0
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_601,c_0_602]) ).
cnf(c_0_606,plain,
( epred2_0
| epred12_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_602]),c_0_603]) ).
cnf(c_0_607,plain,
( unit = e0
| unit = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_221,c_0_604]) ).
cnf(c_0_608,plain,
( epred2_0
| epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_606]),c_0_35]) ).
cnf(c_0_609,plain,
( unit = e1
| unit = e0
| op(e0,e0) = e1
| op(e0,e3) = e1
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_607]),c_0_45]) ).
cnf(c_0_610,plain,
( ~ epred3_0
| epred2_0
| op(e1,e1) = e3
| op(e1,e1) = e4
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_611,plain,
( op(op(e3,e1),e3) != e1
| op(e3,e2) != op(e2,e3)
| op(e3,e0) != op(e0,e3)
| epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_608]) ).
cnf(c_0_612,plain,
( unit = e0
| unit = e1
| op(e0,e3) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_609]),c_0_186]) ).
cnf(c_0_613,plain,
( ~ epred3_0
| epred2_0
| op(e1,e1) = e4
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[c_0_610,c_0_342]) ).
cnf(c_0_614,plain,
( op(op(e3,e1),e3) != e1
| op(e3,e2) != op(e2,e3)
| epred2_0
| epred11_0
| unit = e0
| unit = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_604]),c_0_612]) ).
cnf(c_0_615,plain,
( epred2_0
| op(e1,e1) = e4
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_613,c_0_574])]) ).
cnf(c_0_616,plain,
( unit = e1
| unit = e0
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_167,c_0_354]) ).
cnf(c_0_617,plain,
( op(op(e3,e1),e3) != e1
| epred2_0
| epred11_0
| unit = e1
| unit = e0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_205]),c_0_77]) ).
cnf(c_0_618,plain,
( epred2_0
| unit = e1
| unit = e0
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_615]),c_0_244]) ).
cnf(c_0_619,plain,
( op(e0,e0) != e1
| unit = e0
| unit = e1
| op(e0,e3) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_198,c_0_616]) ).
cnf(c_0_620,plain,
( epred2_0
| epred11_0
| unit = e0
| unit = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_207]),c_0_612]) ).
cnf(c_0_621,plain,
( epred2_0
| unit = e0
| unit = e1
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_618]),c_0_320]) ).
cnf(c_0_622,plain,
( epred2_0
| epred11_0
| unit = e1
| unit = e0
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_619,c_0_620]) ).
cnf(c_0_623,plain,
( epred2_0
| epred11_0
| unit = e1
| unit = e0
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_622]),c_0_46]),c_0_35]) ).
cnf(c_0_624,plain,
( op(op(e3,e0),e3) != e0
| op(e3,e2) != op(e2,e3)
| epred2_0
| epred11_0
| op(op(e3,e1),e1) = e3 ),
inference(spm,[status(thm)],[c_0_249,c_0_608]) ).
cnf(c_0_625,plain,
( epred2_0
| epred11_0
| unit = e0
| unit = e1
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_623]),c_0_252]) ).
cnf(c_0_626,plain,
( op(op(e3,e0),e3) != e0
| epred2_0
| epred11_0
| unit = e1
| unit = e0
| op(op(e3,e1),e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_205]),c_0_77]) ).
cnf(c_0_627,plain,
( epred2_0
| epred11_0
| unit = e0
| unit = e1
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_625]),c_0_85]) ).
cnf(c_0_628,plain,
( epred2_0
| epred11_0
| unit = e0
| unit = e1
| op(op(e3,e1),e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_627]),c_0_263]) ).
cnf(c_0_629,plain,
( epred2_0
| epred11_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_207]),c_0_266]) ).
cnf(c_0_630,plain,
( epred2_0
| epred11_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_629]),c_0_54]),c_0_85]) ).
cnf(c_0_631,plain,
( epred2_0
| epred11_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_630]) ).
cnf(c_0_632,plain,
( epred2_0
| epred11_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_630]) ).
cnf(c_0_633,plain,
( op(e0,e1) != e2
| epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_631]) ).
cnf(c_0_634,plain,
( ~ epred11_0
| $false
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_635,plain,
( epred2_0
| epred11_0
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_601,c_0_632]) ).
cnf(c_0_636,plain,
( epred2_0
| epred11_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_632]),c_0_633]) ).
cnf(c_0_637,plain,
( ~ epred11_0
| op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| epred10_0 ),
inference(cn,[status(thm)],[c_0_634]) ).
cnf(c_0_638,plain,
( epred2_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_636]),c_0_35]) ).
cnf(c_0_639,plain,
( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_637,c_0_638]) ).
cnf(c_0_640,plain,
( op(e4,e2) != op(e2,e4)
| epred2_0
| epred10_0
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_205]),c_0_77]) ).
cnf(c_0_641,plain,
( epred2_0
| epred10_0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_64]),c_0_65]) ).
cnf(c_0_642,plain,
( epred2_0
| epred10_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_641]),c_0_54]),c_0_85]) ).
cnf(c_0_643,plain,
( epred2_0
| epred10_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_642]) ).
cnf(c_0_644,plain,
( epred2_0
| epred10_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_642]) ).
cnf(c_0_645,plain,
( op(e0,e1) != e2
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_643]) ).
cnf(c_0_646,plain,
( epred2_0
| epred10_0
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_601,c_0_644]) ).
cnf(c_0_647,plain,
( epred2_0
| epred10_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_644]),c_0_645]) ).
cnf(c_0_648,plain,
( epred2_0
| epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_35]) ).
cnf(c_0_649,plain,
( epred2_0
| epred9_0
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 ),
inference(spm,[status(thm)],[c_0_297,c_0_648]) ).
cnf(c_0_650,plain,
( epred2_0
| epred9_0
| unit = e1
| unit = e0
| op(e1,e1) = e2
| op(op(e2,e0),e0) = e2 ),
inference(spm,[status(thm)],[c_0_649,c_0_160]) ).
cnf(c_0_651,plain,
( epred2_0
| epred9_0
| unit = e0
| unit = e1
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_137]),c_0_304]) ).
cnf(c_0_652,plain,
( epred2_0
| epred9_0
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_651]),c_0_35]) ).
cnf(c_0_653,plain,
( epred2_0
| epred9_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_652]),c_0_54]),c_0_85]) ).
cnf(c_0_654,plain,
( epred2_0
| epred9_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_653]) ).
cnf(c_0_655,plain,
( epred2_0
| epred9_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_653]) ).
cnf(c_0_656,plain,
( op(e0,e1) != e2
| epred2_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_654]) ).
cnf(c_0_657,plain,
( epred2_0
| epred9_0
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_601,c_0_655]) ).
cnf(c_0_658,plain,
( epred2_0
| epred9_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_655]),c_0_656]) ).
cnf(c_0_659,plain,
( epred2_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_658]),c_0_35]) ).
cnf(c_0_660,plain,
( op(e2,e1) != op(e1,e2)
| epred2_0
| epred8_0
| op(op(e1,e3),e3) = e1 ),
inference(spm,[status(thm)],[c_0_316,c_0_659]) ).
cnf(c_0_661,plain,
( epred2_0
| epred8_0
| unit = e1
| unit = e0
| op(op(e1,e3),e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_160]),c_0_186]) ).
cnf(c_0_662,plain,
( epred2_0
| epred8_0
| unit = e0
| unit = e1
| op(e2,e3) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_661,c_0_259]) ).
cnf(c_0_663,plain,
( op(e1,e0) != e4
| epred2_0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_169,c_0_618]) ).
cnf(c_0_664,plain,
( epred2_0
| epred8_0
| unit = e1
| unit = e0
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_662]),c_0_45]) ).
cnf(c_0_665,plain,
( epred2_0
| unit = e0
| unit = e1
| op(e0,e3) = e4
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_618]),c_0_35]),c_0_663]) ).
cnf(c_0_666,plain,
( epred2_0
| epred8_0
| unit = e1
| unit = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_664]),c_0_44]) ).
cnf(c_0_667,plain,
( epred2_0
| epred8_0
| unit = e1
| unit = e0
| op(e0,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_664]),c_0_35]) ).
cnf(c_0_668,plain,
( epred2_0
| epred8_0
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_666,c_0_667]),c_0_46]) ).
cnf(c_0_669,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_670,plain,
( epred2_0
| epred8_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_668]),c_0_54]),c_0_85]) ).
cnf(c_0_671,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(sr,[status(thm)],[c_0_669,c_0_238]) ).
cnf(c_0_672,plain,
( epred2_0
| epred8_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_670]) ).
cnf(c_0_673,plain,
( op(e3,e0) != e4
| op(e3,e3) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_156,c_0_671]) ).
cnf(c_0_674,plain,
( epred2_0
| epred8_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_670]) ).
cnf(c_0_675,plain,
( op(e0,e1) != e2
| epred2_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_672]) ).
cnf(c_0_676,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_677,plain,
( unit = e1
| unit = e0
| op(e3,e3) = e1
| op(e3,e3) = e3
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_354]),c_0_417]) ).
cnf(c_0_678,plain,
( unit = e0
| unit = e1
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e4
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_157]),c_0_46]) ).
cnf(c_0_679,plain,
( epred2_0
| epred8_0
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_601,c_0_674]) ).
cnf(c_0_680,plain,
( epred2_0
| epred8_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_674]),c_0_675]) ).
cnf(c_0_681,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_682,plain,
( unit = e0
| unit = e1
| op(e3,e0) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_677]),c_0_77]) ).
cnf(c_0_683,plain,
( unit = e1
| unit = e0
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_678]),c_0_45]) ).
cnf(c_0_684,plain,
( epred2_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_680]),c_0_35]) ).
cnf(c_0_685,plain,
( op(e1,e3) != e1
| unit = e1
| unit = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_681,c_0_682]) ).
cnf(c_0_686,plain,
( epred2_0
| unit = e1
| unit = e0
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_683]),c_0_46]),c_0_35]) ).
cnf(c_0_687,plain,
( op(e0,e3) != e1
| unit = e1
| unit = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_245,c_0_682]) ).
cnf(c_0_688,plain,
( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_684]) ).
cnf(c_0_689,plain,
( epred2_0
| unit = e0
| unit = e1
| op(e3,e0) = e1
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_686]),c_0_687]) ).
cnf(c_0_690,plain,
( epred2_0
| unit = e0
| unit = e1
| op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_686]),c_0_186]) ).
cnf(c_0_691,plain,
( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| epred2_0
| epred7_0
| unit = e1
| unit = e0
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_354]),c_0_689]) ).
cnf(c_0_692,plain,
( epred2_0
| unit = e1
| unit = e0
| op(e3,e1) = e4
| op(e3,e0) = e4
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_690]),c_0_252]) ).
cnf(c_0_693,plain,
( op(op(e1,e0),e1) != e0
| epred2_0
| epred7_0
| unit = e0
| unit = e1
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_82]),c_0_354]) ).
cnf(c_0_694,plain,
( epred2_0
| unit = e0
| unit = e1
| op(e0,e3) = e1
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_692]),c_0_85]) ).
cnf(c_0_695,plain,
( epred2_0
| epred7_0
| unit = e1
| unit = e0
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_350]),c_0_207]) ).
cnf(c_0_696,plain,
( op(op(e1,e0),e1) != e0
| op(e3,e0) != op(e0,e3)
| epred2_0
| epred7_0
| op(op(e0,e4),e4) = e0 ),
inference(spm,[status(thm)],[c_0_356,c_0_684]) ).
cnf(c_0_697,plain,
( epred2_0
| epred7_0
| unit = e1
| unit = e0
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_695]),c_0_46]) ).
cnf(c_0_698,plain,
( op(op(e1,e0),e1) != e0
| epred2_0
| epred7_0
| unit = e0
| unit = e1
| op(op(e0,e4),e4) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_695]),c_0_697]) ).
cnf(c_0_699,plain,
( epred2_0
| epred7_0
| unit = e1
| unit = e0
| op(op(e0,e4),e4) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_350]),c_0_207]) ).
cnf(c_0_700,plain,
( epred2_0
| epred7_0
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_82]),c_0_34]),c_0_244]) ).
cnf(c_0_701,plain,
( epred2_0
| epred7_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_700]),c_0_54]),c_0_85]) ).
cnf(c_0_702,plain,
( epred2_0
| epred7_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_701]) ).
cnf(c_0_703,plain,
( epred2_0
| epred7_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_701]) ).
cnf(c_0_704,plain,
( op(e0,e1) != e2
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_702]) ).
cnf(c_0_705,plain,
( epred2_0
| epred7_0
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_601,c_0_703]) ).
cnf(c_0_706,plain,
( epred2_0
| epred7_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_703]),c_0_704]) ).
cnf(c_0_707,plain,
( epred2_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_706]),c_0_35]) ).
cnf(c_0_708,plain,
( op(e2,e0) != op(e0,e2)
| epred2_0
| op(op(e0,e1),e1) = e0 ),
inference(spm,[status(thm)],[c_0_373,c_0_707]) ).
cnf(c_0_709,plain,
( epred2_0
| unit = e1
| unit = e0
| op(op(e0,e1),e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_137]),c_0_143]) ).
cnf(c_0_710,plain,
( epred2_0
| unit = e0
| unit = e1
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_618]),c_0_35]) ).
fof(c_0_711,plain,
( epred1_0
<=> ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_712,plain,
( epred2_0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_710]),c_0_379]) ).
fof(c_0_713,plain,
( epred2_0
=> ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| epred1_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_558]),c_0_711]) ).
cnf(c_0_714,plain,
( epred2_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_712]),c_0_54]),c_0_85]) ).
fof(c_0_715,plain,
( ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e4) != e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e0) != e1
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e0) != e1
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e1) = e0
| op(e1,e1) != e1
| op(e1,e1) = e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e2) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e4
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_713])])]) ).
cnf(c_0_716,plain,
( epred2_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_714]) ).
cnf(c_0_717,plain,
( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_718,plain,
( epred2_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_714]) ).
cnf(c_0_719,plain,
( op(e0,e1) != e2
| epred2_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_716]) ).
cnf(c_0_720,plain,
( ~ epred2_0
| op(e1,e1) != e1
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_721,plain,
( ~ epred2_0
| epred1_0
| op(e1,e1) = e1
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_717,c_0_13]),c_0_131]),c_0_61]) ).
cnf(c_0_722,plain,
( epred2_0
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_601,c_0_718]) ).
cnf(c_0_723,plain,
( epred2_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_718]),c_0_719]) ).
cnf(c_0_724,plain,
( ~ epred2_0
| epred1_0
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_720,c_0_13]),c_0_131]),c_0_61]),c_0_721]) ).
cnf(c_0_725,plain,
epred2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_723]),c_0_35]) ).
cnf(c_0_726,plain,
( epred1_0
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_724,c_0_725])]) ).
cnf(c_0_727,plain,
( epred1_0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_726]),c_0_44]) ).
cnf(c_0_728,plain,
( epred1_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_450,c_0_726]) ).
cnf(c_0_729,plain,
( epred1_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_727]),c_0_54]),c_0_85]) ).
cnf(c_0_730,plain,
( op(e4,e3) != e2
| op(e4,e0) != op(e0,e4)
| epred1_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_452,c_0_728]) ).
cnf(c_0_731,plain,
( epred1_0
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_729]) ).
cnf(c_0_732,plain,
( epred1_0
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_32,c_0_729]) ).
cnf(c_0_733,plain,
( op(e4,e3) != e2
| epred1_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_731]),c_0_732]) ).
cnf(c_0_734,plain,
( epred1_0
| op(e4,e3) = e2
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_459,c_0_731]) ).
cnf(c_0_735,plain,
( epred1_0
| epred12_0
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_733,c_0_734]) ).
cnf(c_0_736,plain,
( epred1_0
| op(e4,e2) = e2
| op(e4,e2) = e0 ),
inference(spm,[status(thm)],[c_0_402,c_0_731]) ).
cnf(c_0_737,plain,
( epred1_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_91,c_0_729]) ).
cnf(c_0_738,plain,
( op(e4,e2) != e0
| epred1_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_735]) ).
cnf(c_0_739,plain,
( epred1_0
| op(e4,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_736]),c_0_737]) ).
cnf(c_0_740,plain,
( epred1_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_738,c_0_739]) ).
cnf(c_0_741,plain,
( epred1_0
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_188,c_0_729]) ).
cnf(c_0_742,plain,
( op(e3,e2) != e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_739]) ).
cnf(c_0_743,plain,
( op(e3,e0) != op(e0,e3)
| epred1_0
| epred11_0
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 ),
inference(spm,[status(thm)],[c_0_474,c_0_740]) ).
cnf(c_0_744,plain,
( epred1_0
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_22,c_0_729]) ).
cnf(c_0_745,plain,
( op(e0,e2) != e4
| epred1_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_732]) ).
cnf(c_0_746,plain,
( epred1_0
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_741]),c_0_742]) ).
cnf(c_0_747,plain,
( epred1_0
| epred11_0
| op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_741]),c_0_744]) ).
cnf(c_0_748,plain,
( epred1_0
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_731]),c_0_745]) ).
cnf(c_0_749,plain,
( epred1_0
| op(e3,e1) = e0
| op(e3,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_746]),c_0_726]) ).
cnf(c_0_750,plain,
( epred1_0
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_149,c_0_729]) ).
cnf(c_0_751,plain,
( epred1_0
| op(e2,e4) = e3 ),
inference(spm,[status(thm)],[c_0_486,c_0_732]) ).
cnf(c_0_752,plain,
( epred1_0
| epred11_0
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(op(e3,e1),e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_747,c_0_748]),c_0_391]) ).
cnf(c_0_753,plain,
( epred1_0
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_749]),c_0_750]) ).
cnf(c_0_754,plain,
( op(e0,e2) != e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_492,c_0_744]) ).
cnf(c_0_755,plain,
( op(e2,e2) != e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_493,c_0_751]) ).
cnf(c_0_756,plain,
( epred1_0
| epred11_0
| op(e2,e2) = e4
| op(e1,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_753]),c_0_266]) ).
cnf(c_0_757,plain,
( epred1_0
| op(e1,e2) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_741]),c_0_754]),c_0_755]) ).
cnf(c_0_758,plain,
( epred1_0
| epred11_0
| op(e1,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_756]),c_0_46]) ).
cnf(c_0_759,plain,
( epred1_0
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_757,c_0_758]),c_0_133]) ).
cnf(c_0_760,plain,
( op(op(e2,e4),e2) != e4
| epred1_0
| epred10_0
| op(op(e2,e3),e3) = e2 ),
inference(spm,[status(thm)],[c_0_506,c_0_759]) ).
cnf(c_0_761,plain,
( epred1_0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_508,c_0_739]) ).
cnf(c_0_762,plain,
( op(e3,e2) != e4
| epred1_0
| epred10_0
| op(op(e2,e3),e3) = e2 ),
inference(spm,[status(thm)],[c_0_760,c_0_751]) ).
cnf(c_0_763,plain,
( op(e3,e1) != e0
| epred1_0
| op(e0,e3) = e0
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_510,c_0_761]) ).
cnf(c_0_764,plain,
( epred1_0
| epred10_0
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(op(e2,e3),e3) = e2 ),
inference(spm,[status(thm)],[c_0_762,c_0_748]) ).
cnf(c_0_765,plain,
( epred1_0
| op(e2,e3) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_763,c_0_753]) ).
cnf(c_0_766,plain,
( epred1_0
| epred10_0
| op(e0,e3) = e2
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_764,c_0_765]) ).
cnf(c_0_767,plain,
( epred1_0
| epred10_0
| op(e0,e3) = e0
| op(e1,e2) = e4
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_766]),c_0_46]) ).
cnf(c_0_768,plain,
( epred1_0
| epred10_0
| op(e0,e3) = e2
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_757,c_0_767]),c_0_133]) ).
cnf(c_0_769,plain,
( epred1_0
| epred10_0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_768]),c_0_56]) ).
cnf(c_0_770,plain,
( ~ epred2_0
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_771,plain,
( epred1_0
| epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_769]),c_0_55]) ).
cnf(c_0_772,plain,
( op(e0,e3) != e4
| epred1_0 ),
inference(spm,[status(thm)],[c_0_523,c_0_732]) ).
cnf(c_0_773,plain,
( ~ epred2_0
| op(e1,e1) != e1
| epred1_0
| op(e4,e4) = e0
| op(e1,e1) = e0
| op(e1,e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_774,plain,
( ~ epred2_0
| epred1_0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_770,c_0_13]),c_0_131]),c_0_61]) ).
cnf(c_0_775,plain,
( op(e2,e0) != op(e0,e2)
| epred1_0
| epred9_0
| op(op(e2,e1),e1) = e2 ),
inference(spm,[status(thm)],[c_0_526,c_0_771]) ).
cnf(c_0_776,plain,
( epred1_0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_729]) ).
cnf(c_0_777,plain,
( op(e0,e1) != e4
| epred1_0 ),
inference(spm,[status(thm)],[c_0_528,c_0_732]) ).
cnf(c_0_778,plain,
( epred1_0
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_731]),c_0_35]),c_0_85]),c_0_772]) ).
cnf(c_0_779,plain,
( ~ epred2_0
| epred1_0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_773,c_0_13]),c_0_131]),c_0_61]),c_0_774]) ).
cnf(c_0_780,plain,
( epred1_0
| epred9_0
| op(op(e2,e1),e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_776]),c_0_737]) ).
cnf(c_0_781,plain,
( epred1_0
| op(e1,e1) = e4
| op(e2,e1) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_753]),c_0_85]),c_0_777]) ).
cnf(c_0_782,plain,
( op(e3,e2) != e4
| epred1_0
| op(e2,e3) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_535,c_0_778]) ).
cnf(c_0_783,plain,
( epred1_0
| op(e1,e1) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_779,c_0_725])]) ).
cnf(c_0_784,plain,
( epred1_0
| epred9_0
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_781]),c_0_17]),c_0_56]) ).
cnf(c_0_785,plain,
( epred1_0
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4 ),
inference(spm,[status(thm)],[c_0_782,c_0_748]) ).
cnf(c_0_786,plain,
( epred1_0
| epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_784]),c_0_35]) ).
cnf(c_0_787,plain,
( epred1_0
| op(e0,e3) = e0
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_785]),c_0_85]) ).
cnf(c_0_788,plain,
( epred1_0
| epred8_0
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 ),
inference(spm,[status(thm)],[c_0_545,c_0_786]) ).
cnf(c_0_789,plain,
( epred1_0
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_787]),c_0_46]) ).
cnf(c_0_790,plain,
( epred1_0
| epred8_0
| op(e0,e3) = e0
| op(e1,e2) = e4
| op(op(e1,e2),e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_789]),c_0_37]) ).
cnf(c_0_791,plain,
( epred1_0
| epred8_0
| op(e3,e2) = e1
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_790,c_0_757]),c_0_133]) ).
cnf(c_0_792,plain,
( epred1_0
| epred8_0
| op(e0,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_791]),c_0_726]) ).
cnf(c_0_793,plain,
( epred1_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_792]),c_0_55]) ).
cnf(c_0_794,plain,
( op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| op(e1,e0) != op(e0,e1)
| epred1_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_553,c_0_793]) ).
cnf(c_0_795,plain,
( epred1_0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_170,c_0_729]) ).
cnf(c_0_796,plain,
( op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred1_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_750]) ).
fof(c_0_797,plain,
( epred1_0
=> ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_711]) ).
cnf(c_0_798,plain,
( op(e4,e0) != op(e0,e4)
| epred1_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_741]),c_0_744]) ).
fof(c_0_799,plain,
( ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e2) != e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e2) != e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e2) != e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e2,e2) = e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e2,e2) = e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e0) = e2
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e0) = e2
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e2) != e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e2) != e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e2) != e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e2) != e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e2) != e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e2) != e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e0,e2) != e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e0,e2) != e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e0,e2) != e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e2,e2) = e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e2,e2) = e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e0,e0) = e2
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e0,e0) = e2
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) != e0
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e2) != e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e2) != e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e2) != e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e2) != e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e2) != e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e2) != e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| op(e0,e0) = e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e3) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_797])])]) ).
cnf(c_0_800,plain,
( epred1_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_731]),c_0_732]) ).
cnf(c_0_801,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_802,plain,
( epred1_0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 ),
inference(spm,[status(thm)],[c_0_562,c_0_800]) ).
cnf(c_0_803,plain,
( op(e2,e2) != e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_564,c_0_739]) ).
cnf(c_0_804,plain,
( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_805,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e3,e3) = e0 ),
inference(sr,[status(thm)],[c_0_801,c_0_131]) ).
cnf(c_0_806,plain,
( epred1_0
| op(op(e0,e1),e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_737]),c_0_803]) ).
cnf(c_0_807,plain,
( ~ epred1_0
| op(e0,e0) = e2
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_804,c_0_131]),c_0_805]) ).
cnf(c_0_808,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_750]),c_0_131]) ).
cnf(c_0_809,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_810,plain,
( op(e0,e0) = e2
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_807,c_0_808])]) ).
cnf(c_0_811,plain,
( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_812,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[c_0_809,c_0_131]) ).
cnf(c_0_813,plain,
( unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_810]),c_0_304]) ).
cnf(c_0_814,plain,
( ~ epred1_0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_811,c_0_131]),c_0_812]) ).
cnf(c_0_815,plain,
unit = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_813]),c_0_54]),c_0_85]) ).
cnf(c_0_816,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_814,c_0_808])]) ).
cnf(c_0_817,plain,
op(e0,e0) = e0,
inference(rw,[status(thm)],[c_0_134,c_0_815]) ).
cnf(c_0_818,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_816,c_0_817]),c_0_244]),c_0_817]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG060+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.40 % Computer : n013.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Mon Sep 21 12:54:31 UTC 2026
% 0.11/10.40 % CPUTime :
% 0.11/10.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.45 Running first-order theorem proving
% 0.11/10.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.67/11.87 % Version: 3.5.1
% 10.67/11.87 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.67/11.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.67/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.67/11.87 % Starting new_bool_3 with 300s (1) cores
% 10.67/11.87 % Starting new_bool_1 with 300s (1) cores
% 10.67/11.87 % Starting sh5l with 300s (1) cores
% 10.67/11.87 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 809800 completed with status 0
% 10.67/11.87 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.67/11.87 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.67/11.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.67/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.67/11.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.67/11.87 % No SInE strategy applied
% 10.67/11.87 % Search class: FGHSF-FSLM22-MFFFFFNN
% 10.67/11.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.67/11.87 % Starting SubtermCWHack with 136s (1) cores
% 10.67/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.67/11.87 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 136s (1) cores
% 10.67/11.87 % Starting new_bool_3 with 136s (1) cores
% 10.67/11.87 % Starting new_bool_1 with 136s (1) cores
% 10.67/11.87 % H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with pid 809807 completed with status 0
% 10.67/11.87 % Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S2S
% 10.67/11.87 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.67/11.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.67/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.67/11.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.67/11.87 % No SInE strategy applied
% 10.67/11.87 % Search class: FGHSF-FSLM22-MFFFFFNN
% 10.67/11.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.67/11.87 % Starting SubtermCWHack with 136s (1) cores
% 10.67/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.67/11.87 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 136s (1) cores
% 10.67/11.87 % Preprocessing time : 0.008 s
% 10.67/11.87 % Presaturation interreduction done
% 10.67/11.87
% 10.67/11.87 % Proof found!
% 10.67/11.87 % SZS status Theorem
% 10.67/11.87 % SZS output start CNFRefutation
% See solution above
% 10.67/11.88 % Parsed axioms : 7
% 10.67/11.88 % Removed by relevancy pruning/SinE : 0
% 10.67/11.88 % Initial clauses : 707
% 10.67/11.88 % Removed in clause preprocessing : 0
% 10.67/11.88 % Initial clauses in saturation : 707
% 10.67/11.88 % Processed clauses : 13623
% 10.67/11.88 % ...of these trivial : 48
% 10.67/11.88 % ...subsumed : 10309
% 10.67/11.88 % ...remaining for further processing : 3266
% 10.67/11.88 % Other redundant clauses eliminated : 0
% 10.67/11.88 % Clauses deleted for lack of memory : 0
% 10.67/11.88 % Backward-subsumed : 1557
% 10.67/11.88 % Backward-rewritten : 712
% 10.67/11.88 % Generated clauses : 49988
% 10.67/11.88 % ...of the previous two non-redundant : 49362
% 10.67/11.88 % ...aggressively subsumed : 0
% 10.67/11.88 % Contextual simplify-reflections : 332
% 10.67/11.88 % Paramodulations : 49447
% 10.67/11.88 % Factorizations : 422
% 10.67/11.88 % NegExts : 0
% 10.67/11.88 % Equation resolutions : 0
% 10.67/11.88 % Disequality decompositions : 0
% 10.67/11.88 % Total rewrite steps : 1484
% 10.67/11.88 % ...of those cached : 1468
% 10.67/11.88 % Propositional unsat checks : 0
% 10.67/11.88 % Propositional check models : 0
% 10.67/11.88 % Propositional check unsatisfiable : 0
% 10.67/11.88 % Propositional clauses : 0
% 10.67/11.88 % Propositional clauses after purity: 0
% 10.67/11.88 % Propositional unsat core size : 0
% 10.67/11.88 % Propositional preprocessing time : 0.000
% 10.67/11.88 % Propositional encoding time : 0.000
% 10.67/11.88 % Propositional solver time : 0.000
% 10.67/11.88 % Success case prop preproc time : 0.000
% 10.67/11.88 % Success case prop encoding time : 0.000
% 10.67/11.88 % Success case prop solver time : 0.000
% 10.67/11.88 % Current number of processed clauses : 549
% 10.67/11.88 % Positive orientable unit clauses : 16
% 10.67/11.88 % Positive unorientable unit clauses: 0
% 10.67/11.88 % Negative unit clauses : 89
% 10.67/11.88 % Non-unit-clauses : 444
% 10.67/11.88 % Current number of unprocessed clauses: 25942
% 10.67/11.88 % ...number of literals in the above : 228721
% 10.67/11.88 % Current number of archived formulas : 0
% 10.67/11.88 % Current number of archived clauses : 2717
% 10.67/11.88 % Clause-clause subsumption calls (NU) : 123124
% 10.67/11.88 % Rec. Clause-clause subsumption calls : 11235
% 10.67/11.88 % Non-unit clause-clause subsumptions : 5758
% 10.67/11.88 % Unit Clause-clause subsumption calls : 2706
% 10.67/11.88 % Rewrite failures with RHS unbound : 0
% 10.67/11.88 % BW rewrite match attempts : 12
% 10.67/11.88 % BW rewrite match successes : 12
% 10.67/11.88 % Condensation attempts : 0
% 10.67/11.88 % Condensation successes : 0
% 10.67/11.88 % Termbank termtop insertions : 807310
% 10.67/11.88 % Search garbage collected termcells : 3797
% 10.67/11.88
% 10.67/11.88 % -------------------------------------------------
% 10.67/11.88 % User time : 1.339 s
% 10.67/11.88 % System time : 0.036 s
% 10.67/11.88 % Total time : 1.375 s
% 10.67/11.88 % Maximum resident set size: 4784 pages
% 10.67/11.88
% 10.67/11.88 % -------------------------------------------------
% 10.67/11.88 % User time : 6.617 s
% 10.67/11.88 % System time : 0.189 s
% 10.67/11.88 % Total time : 6.806 s
% 10.67/11.88 % Maximum resident set size: 5120 pages
% 10.67/11.88 % E exiting
%------------------------------------------------------------------------------