TSTP Solution File: ALG060+1 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:17:56 EDT 2024
% Result : Theorem 19.59s 3.02s
% Output : CNFRefutation 20.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p',ax4) ).
fof(ax6,axiom,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p',ax6) ).
fof(co1,conjecture,
~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p',co1) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p',ax5) ).
fof(ax2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p',ax2) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p',ax1) ).
fof(ax3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p',ax3) ).
fof(c_0_7,plain,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_8,plain,
( epred6_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( epred14_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ) ),
introduced(definition) ).
fof(c_0_10,plain,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
e3 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_12,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_13,plain,
( epred13_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ) ),
introduced(definition) ).
fof(c_0_14,negated_conjecture,
~ ~ ( ( epred6_0
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( epred14_0
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]),c_0_8]),c_0_9]) ).
cnf(c_0_15,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
op(e4,e1) = e3,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_18,plain,
( epred5_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
introduced(definition) ).
fof(c_0_19,plain,
( epred14_0
=> ( epred13_0
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_13]) ).
fof(c_0_20,negated_conjecture,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) != e4
| op(e3,e3) = e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e3) != e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e3) != e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e4) = e3
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e3) != e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e3) != e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e4) = e3
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e3,e3) = e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e3) != e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e3) != e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != op(e4,e4)
| epred14_0 )
& ( op(op(e4,e4),e4) = e4
| epred14_0 )
& ( op(op(e4,e4),e4) != e4
| epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_21,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_22,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_23,plain,
op(e4,e3) != e3,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_25,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_27,plain,
( epred6_0
=> ( epred5_0
| ( op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_18]) ).
fof(c_0_28,plain,
( ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_29,negated_conjecture,
( epred14_0
| $false ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
op(unit,e4) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_31,plain,
( unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_32,plain,
op(e3,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_12]),c_0_16]) ).
cnf(c_0_33,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_35,plain,
op(e4,e3) != e1,
inference(rw,[status(thm)],[c_0_26,c_0_12]) ).
cnf(c_0_36,plain,
e0 = op(op(e4,e4),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_37,plain,
op(e3,e1) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_39,plain,
( ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_40,negated_conjecture,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( op(op(e4,e1),e1) = e4
| epred13_0
| op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_45,negated_conjecture,
epred14_0,
inference(cn,[status(thm)],[c_0_29]) ).
cnf(c_0_46,plain,
op(e4,unit) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_47,plain,
( unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_48,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,plain,
( op(e4,e3) = e4
| op(e4,e3) = e2
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_35]),c_0_23]) ).
cnf(c_0_50,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_51,plain,
op(e1,e4) = e0,
inference(rw,[status(thm)],[c_0_36,c_0_12]) ).
cnf(c_0_52,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_53,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_54,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_55,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_56,plain,
op(e3,e1) != e3,
inference(rw,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_57,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,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_40,c_0_12]),c_0_12]),c_0_12]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_59,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_60,plain,
( op(op(e4,e1),e1) = e4
| epred13_0
| op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_61,plain,
( op(e3,e1) = e4
| epred13_0
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_16]),c_0_32]),c_0_45])]) ).
cnf(c_0_62,plain,
( op(e4,e2) = e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_63,plain,
( op(e2,e4) = e4
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_64,plain,
( op(e4,e3) = e2
| op(e4,e3) = e0
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_65,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_66,plain,
( op(e2,e4) = e3
| op(e0,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_50,c_0_51]),c_0_32]),c_0_12]),c_0_52]),c_0_53]),c_0_42]) ).
cnf(c_0_67,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_68,plain,
( op(e3,e1) = e4
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_69,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_70,plain,
( op(e3,e3) = e3
| op(e1,e1) = e4
| epred5_0 ),
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_57,c_0_12]),c_0_12]),c_0_58])]),c_0_59]),c_0_42]) ).
cnf(c_0_71,plain,
( op(e3,e1) = e4
| epred13_0
| op(e4,e2) != op(e2,e4)
| op(op(e4,e3),e4) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_16]),c_0_45])]) ).
cnf(c_0_72,plain,
( op(e3,e1) = e4
| unit = e0
| unit = e1
| epred13_0
| op(e4,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_73,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_74,plain,
( op(e0,e4) = e3
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,plain,
( op(e2,e3) = e3
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_21,c_0_47]) ).
cnf(c_0_76,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,plain,
( op(e1,e1) = e4
| epred5_0 ),
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_69,c_0_12]),c_0_12]),c_0_58])]),c_0_59]),c_0_42]),c_0_70]) ).
cnf(c_0_78,plain,
( op(e3,e1) = e4
| unit = e0
| unit = e1
| epred13_0
| op(op(e4,e3),e4) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_62]),c_0_63]) ).
cnf(c_0_79,plain,
( op(e4,e3) = e0
| op(e3,e1) = e4
| unit = e1
| unit = e0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,plain,
( op(e0,e4) = e3
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_82,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| epred5_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( op(e3,e1) = e4
| unit = e1
| unit = e0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_84,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_85,plain,
op(e1,e0) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_86,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_87,plain,
op(e1,e3) != e0,
inference(rw,[status(thm)],[c_0_81,c_0_51]) ).
cnf(c_0_88,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_89,plain,
( unit = e0
| unit = e1
| epred13_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_43]) ).
cnf(c_0_90,plain,
op(e1,e0) != e0,
inference(rw,[status(thm)],[c_0_85,c_0_51]) ).
cnf(c_0_91,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_92,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,plain,
op(e4,e2) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_94,plain,
op(e4,e1) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_95,plain,
op(e4,e0) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_96,plain,
( unit = e0
| epred13_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_97,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_99,plain,
op(e4,e2) != e1,
inference(rw,[status(thm)],[c_0_93,c_0_12]) ).
cnf(c_0_100,plain,
op(e4,e2) != e3,
inference(rw,[status(thm)],[c_0_94,c_0_16]) ).
fof(c_0_101,plain,
( epred12_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_102,plain,
( op(e4,e3) = e2
| op(e4,e3) = e0
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_95,c_0_49]) ).
cnf(c_0_103,plain,
( op(e4,e0) = e4
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_96]) ).
cnf(c_0_104,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_105,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| epred5_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_77]) ).
cnf(c_0_106,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_107,plain,
( op(e4,e2) = e4
| op(e4,e2) = e2
| op(e4,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
fof(c_0_108,plain,
( epred13_0
=> ( epred12_0
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_13]),c_0_101]) ).
cnf(c_0_109,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_110,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,plain,
( op(e1,e3) = e2
| op(e1,e3) = e1
| epred5_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
( op(e0,e3) = e3
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_96]) ).
cnf(c_0_113,plain,
( op(e4,e2) = e2
| op(e4,e2) = e0
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_114,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_115,plain,
( ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])]) ).
cnf(c_0_116,plain,
( op(e4,e3) = e0
| epred13_0
| epred5_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_117,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_119,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_103]) ).
cnf(c_0_120,plain,
( op(e0,e2) = e2
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_96]) ).
cnf(c_0_121,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_122,plain,
op(e2,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_123,plain,
( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| epred12_0
| $false
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_124,plain,
( op(e1,e3) = e1
| op(e4,e3) = e0
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_125,plain,
( op(e4,e2) = e0
| epred13_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_126,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_127,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_128,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_129,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_130,plain,
op(e2,e4) != e0,
inference(rw,[status(thm)],[c_0_121,c_0_51]) ).
cnf(c_0_131,plain,
op(e2,e4) != e1,
inference(rw,[status(thm)],[c_0_122,c_0_12]) ).
cnf(c_0_132,plain,
op(e2,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_133,plain,
( op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4
| epred12_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_123]) ).
cnf(c_0_134,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_135,plain,
( op(e1,e3) = e1
| epred13_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_124]),c_0_125]) ).
cnf(c_0_136,plain,
( op(e1,e0) = e1
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_96]) ).
cnf(c_0_137,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_138,plain,
op(e4,e0) != e1,
inference(rw,[status(thm)],[c_0_127,c_0_12]) ).
cnf(c_0_139,plain,
op(e4,e0) != e3,
inference(rw,[status(thm)],[c_0_128,c_0_16]) ).
cnf(c_0_140,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_141,plain,
op(e2,e4) != e2,
inference(rw,[status(thm)],[c_0_132,c_0_32]) ).
cnf(c_0_142,plain,
( op(op(e4,e0),e0) = e4
| op(e2,e4) = e3
| epred12_0
| ~ epred13_0 ),
inference(rw,[status(thm)],[c_0_133,c_0_32]) ).
cnf(c_0_143,plain,
( epred13_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_144,plain,
( unit = e0
| unit = e1
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_106,c_0_62]) ).
cnf(c_0_145,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2
| op(e4,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_146,plain,
op(e2,e0) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_147,plain,
( op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_148,plain,
( op(op(e4,e0),e0) = e4
| op(e2,e4) = e3
| epred12_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_149,plain,
( op(e4,e0) = e2
| op(e4,e0) = e0
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,plain,
( op(e2,e4) = e3
| op(e2,e0) != e4 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_151,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_152,plain,
( op(e4,e0) = e0
| op(e2,e4) = e3
| unit = e0
| unit = e1
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
cnf(c_0_153,plain,
( op(e2,e0) = e0
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_88,c_0_47]) ).
cnf(c_0_154,plain,
( epred12_0
| op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| $false
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_155,plain,
( op(e2,e4) = e3
| unit = e1
| unit = e0
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_156,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_157,plain,
( epred12_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != op(e3,e4)
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_154]) ).
cnf(c_0_158,plain,
( unit = e0
| unit = e1
| epred12_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_155]),c_0_156]) ).
cnf(c_0_159,plain,
( epred12_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != e2
| ~ epred13_0 ),
inference(rw,[status(thm)],[c_0_157,c_0_32]) ).
cnf(c_0_160,plain,
( unit = e0
| epred12_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_158]),c_0_90]) ).
cnf(c_0_161,plain,
( epred12_0
| epred5_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_143]) ).
cnf(c_0_162,plain,
( op(e4,e0) = e4
| epred12_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_160]) ).
cnf(c_0_163,plain,
( op(e0,e4) = e4
| epred12_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_160]) ).
fof(c_0_164,plain,
( epred11_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_165,plain,
( epred12_0
| epred5_0
| op(e4,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
fof(c_0_166,plain,
( epred12_0
=> ( epred11_0
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_101]),c_0_164]) ).
cnf(c_0_167,plain,
( op(e4,e3) = e0
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_162]),c_0_165]) ).
fof(c_0_168,plain,
( ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_166])])]) ).
cnf(c_0_169,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred12_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_162]) ).
cnf(c_0_170,plain,
( op(e0,e2) = e2
| epred12_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_160]) ).
cnf(c_0_171,plain,
( epred12_0
| epred5_0
| op(e4,e2) != e0 ),
inference(spm,[status(thm)],[c_0_48,c_0_167]) ).
cnf(c_0_172,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| op(e2,e3) != op(e3,e2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_173,plain,
( epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_169]),c_0_170]),c_0_171]) ).
cnf(c_0_174,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_175,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_176,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_177,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| epred5_0
| op(e3,e2) != op(e2,e3) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_178,plain,
( op(e3,e2) = e3
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_174,c_0_47]) ).
cnf(c_0_179,plain,
( op(e3,e1) = e0
| epred5_0
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_175,c_0_82]) ).
cnf(c_0_180,plain,
( op(e2,e1) = e1
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_176,c_0_47]) ).
cnf(c_0_181,plain,
op(e0,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_182,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_183,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_184,plain,
( op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| unit = e0
| unit = e1
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_75]) ).
cnf(c_0_185,plain,
( op(e3,e1) = e0
| unit = e0
| unit = e1
| epred5_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_186,plain,
op(e0,e1) != e3,
inference(rw,[status(thm)],[c_0_181,c_0_16]) ).
cnf(c_0_187,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_188,plain,
op(e3,e0) != e2,
inference(rw,[status(thm)],[c_0_182,c_0_32]) ).
cnf(c_0_189,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_190,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_191,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_192,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_183,c_0_35]) ).
cnf(c_0_193,plain,
( op(op(e3,e0),e0) = e3
| unit = e1
| unit = e0
| epred11_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).
cnf(c_0_194,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_195,plain,
( unit = e0
| unit = e1
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_189,c_0_178]) ).
cnf(c_0_196,plain,
( unit = e1
| unit = e0
| epred5_0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_190,c_0_185]) ).
cnf(c_0_197,plain,
( epred11_0
| op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_198,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_199,plain,
( op(e3,e0) = e1
| unit = e0
| unit = e1
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_139]),c_0_195]),c_0_196]) ).
cnf(c_0_200,plain,
( epred11_0
| epred5_0
| op(e3,e0) != op(e0,e3)
| op(e3,e2) != op(e2,e3)
| op(op(e3,e1),e3) != e1 ),
inference(spm,[status(thm)],[c_0_197,c_0_173]) ).
cnf(c_0_201,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| unit = e1
| unit = e0
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_202,plain,
( unit = e1
| unit = e0
| epred11_0
| epred5_0
| op(e3,e2) != op(e2,e3)
| op(op(e3,e1),e3) != e1
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_200,c_0_199]) ).
cnf(c_0_203,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_204,plain,
( op(e1,e3) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| epred11_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_201]),c_0_42]) ).
cnf(c_0_205,plain,
( op(e1,e2) = e1
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_126,c_0_47]) ).
cnf(c_0_206,plain,
( unit = e0
| unit = e1
| epred11_0
| epred5_0
| op(op(e3,e1),e3) != e1
| op(e0,e3) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_178]),c_0_75]) ).
cnf(c_0_207,plain,
( op(e0,e3) = e1
| unit = e1
| unit = e0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]) ).
cnf(c_0_208,plain,
( unit = e1
| unit = e0
| epred11_0
| epred5_0
| op(op(e3,e1),e3) != e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_209,plain,
( unit = e0
| unit = e1
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_185]),c_0_207]) ).
cnf(c_0_210,plain,
( unit = e0
| epred11_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_209]),c_0_90]) ).
cnf(c_0_211,plain,
( op(e4,e0) = e4
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_210]) ).
fof(c_0_212,plain,
( epred10_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ) ),
introduced(definition) ).
cnf(c_0_213,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_211]) ).
cnf(c_0_214,plain,
( op(e0,e3) = e3
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_210]) ).
fof(c_0_215,plain,
( epred11_0
=> ( epred10_0
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_164]),c_0_212]) ).
cnf(c_0_216,plain,
( op(e4,e3) = e0
| epred11_0
| epred5_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_109,c_0_213]) ).
cnf(c_0_217,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_111,c_0_214]) ).
cnf(c_0_218,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_211]) ).
cnf(c_0_219,plain,
( op(e0,e2) = e2
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_210]) ).
fof(c_0_220,plain,
( ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_215])])]) ).
cnf(c_0_221,plain,
( op(e1,e3) = e1
| op(e4,e3) = e0
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_222,plain,
( op(e4,e2) = e0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_218]),c_0_219]) ).
cnf(c_0_223,plain,
( epred10_0
| op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| $false
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_224,plain,
( op(e1,e3) = e1
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_221]),c_0_222]) ).
cnf(c_0_225,plain,
( op(e1,e0) = e1
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_210]) ).
cnf(c_0_226,plain,
( epred10_0
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4)
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_223]) ).
cnf(c_0_227,plain,
( epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_224]),c_0_225]) ).
cnf(c_0_228,plain,
( epred10_0
| epred5_0
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_229,plain,
( unit = e0
| unit = e1
| epred10_0
| epred5_0
| op(e4,e2) != op(e2,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_178]),c_0_75]) ).
cnf(c_0_230,plain,
( unit = e1
| unit = e0
| epred10_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_62]),c_0_63]) ).
cnf(c_0_231,plain,
( unit = e0
| epred10_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_230]),c_0_90]) ).
cnf(c_0_232,plain,
( op(e4,e0) = e4
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_231]) ).
fof(c_0_233,plain,
( epred9_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_234,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_232]) ).
cnf(c_0_235,plain,
( op(e0,e3) = e3
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_231]) ).
fof(c_0_236,plain,
( epred10_0
=> ( epred9_0
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_233]) ).
cnf(c_0_237,plain,
( op(e4,e3) = e0
| epred10_0
| epred5_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_109,c_0_234]) ).
cnf(c_0_238,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_111,c_0_235]) ).
cnf(c_0_239,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_232]) ).
cnf(c_0_240,plain,
( op(e0,e2) = e2
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_231]) ).
fof(c_0_241,plain,
( ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_236])])]) ).
cnf(c_0_242,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_243,plain,
( op(e1,e3) = e1
| op(e4,e3) = e0
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_244,plain,
( op(e4,e2) = e0
| epred10_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_239]),c_0_240]) ).
cnf(c_0_245,plain,
( op(op(e1,e4),e4) = e1
| epred9_0
| op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_246,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_242,c_0_12]) ).
cnf(c_0_247,plain,
( op(e1,e3) = e1
| epred10_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_243]),c_0_244]) ).
cnf(c_0_248,plain,
( op(e1,e0) = e1
| epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_231]) ).
cnf(c_0_249,plain,
( epred9_0
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_51]),c_0_246]) ).
cnf(c_0_250,plain,
( epred10_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_247]),c_0_248]) ).
cnf(c_0_251,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_252,plain,
( epred9_0
| epred5_0
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_253,plain,
( op(e0,e2) = e0
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_251,c_0_47]) ).
cnf(c_0_254,plain,
( unit = e0
| unit = e1
| epred9_0
| epred5_0
| op(e2,e1) != op(e1,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_153]),c_0_253]) ).
cnf(c_0_255,plain,
( unit = e1
| unit = e0
| epred9_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_180]),c_0_205]) ).
cnf(c_0_256,plain,
( unit = e0
| epred9_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_255]),c_0_90]) ).
cnf(c_0_257,plain,
( op(e4,e0) = e4
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_256]) ).
fof(c_0_258,plain,
( epred8_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_259,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_257]) ).
cnf(c_0_260,plain,
( op(e0,e3) = e3
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_256]) ).
cnf(c_0_261,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_262,plain,
( epred9_0
=> ( epred8_0
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_233]),c_0_258]) ).
cnf(c_0_263,plain,
( op(e4,e3) = e0
| epred9_0
| epred5_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_109,c_0_259]) ).
cnf(c_0_264,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_111,c_0_260]) ).
cnf(c_0_265,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_257]) ).
cnf(c_0_266,plain,
( op(e0,e2) = e2
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_256]) ).
cnf(c_0_267,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_268,plain,
op(e3,e3) != e2,
inference(rw,[status(thm)],[c_0_261,c_0_32]) ).
fof(c_0_269,plain,
( ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_262])])]) ).
cnf(c_0_270,plain,
( op(e1,e3) = e1
| op(e4,e3) = e0
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_271,plain,
( op(e4,e2) = e0
| epred9_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_265]),c_0_266]) ).
cnf(c_0_272,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e4,e3) = e2 ),
inference(sr,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_273,plain,
( op(op(e1,e3),e3) = e1
| epred8_0
| op(e2,e1) != op(e1,e2)
| $false
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_274,plain,
( op(e1,e3) = e1
| epred9_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_270]),c_0_271]) ).
cnf(c_0_275,plain,
( op(e1,e0) = e1
| epred9_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_256]) ).
cnf(c_0_276,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_95,c_0_272]) ).
cnf(c_0_277,plain,
( op(op(e1,e3),e3) = e1
| epred8_0
| op(e2,e1) != op(e1,e2)
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_273]) ).
cnf(c_0_278,plain,
( epred9_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_274]),c_0_275]) ).
cnf(c_0_279,plain,
( op(e4,e0) = e0
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_276,c_0_149]) ).
cnf(c_0_280,plain,
( op(op(e1,e3),e3) = e1
| epred8_0
| epred5_0
| op(e2,e1) != op(e1,e2) ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_281,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_279]),c_0_153]) ).
cnf(c_0_282,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_283,plain,
( op(e2,e2) = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_114,c_0_47]) ).
cnf(c_0_284,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_285,plain,
( op(op(e1,e3),e3) = e1
| unit = e0
| unit = e1
| epred8_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_180]),c_0_205]) ).
cnf(c_0_286,plain,
( op(e1,e3) = e2
| op(e0,e3) = e2
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_281]),c_0_53]) ).
cnf(c_0_287,plain,
( unit = e0
| unit = e1
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_288,plain,
( op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_16]),c_0_55]),c_0_53]) ).
cnf(c_0_289,plain,
( op(e0,e3) = e2
| op(e2,e3) = e1
| unit = e1
| unit = e0
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_290,plain,
( op(e1,e1) = e2
| op(e0,e1) = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_291,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_292,plain,
( op(e0,e3) = e2
| unit = e0
| unit = e1
| epred8_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_289]),c_0_42]) ).
cnf(c_0_293,plain,
( op(e0,e1) = e2
| unit = e0
| unit = e1
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_290]),c_0_33]) ).
cnf(c_0_294,plain,
( unit = e1
| unit = e0
| epred8_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]) ).
cnf(c_0_295,plain,
( unit = e0
| epred8_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_294]),c_0_90]) ).
cnf(c_0_296,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_297,plain,
( op(e4,e0) = e4
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_295]) ).
cnf(c_0_298,plain,
( op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_48,c_0_296]) ).
cnf(c_0_299,plain,
( unit = e0
| unit = e1
| op(e2,e3) != e4 ),
inference(spm,[status(thm)],[c_0_65,c_0_63]) ).
cnf(c_0_300,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_297]) ).
cnf(c_0_301,plain,
( op(e0,e3) = e3
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_295]) ).
cnf(c_0_302,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_62]),c_0_299]) ).
cnf(c_0_303,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_304,plain,
( unit = e0
| unit = e1
| op(e2,e0) != e4 ),
inference(spm,[status(thm)],[c_0_146,c_0_63]) ).
cnf(c_0_305,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_306,plain,
( epred7_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_307,plain,
( op(e4,e3) = e0
| epred8_0
| epred5_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_109,c_0_300]) ).
cnf(c_0_308,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_111,c_0_301]) ).
cnf(c_0_309,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_297]) ).
cnf(c_0_310,plain,
( op(e0,e2) = e2
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_295]) ).
cnf(c_0_311,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_312,plain,
( op(e1,e3) = e4
| op(e0,e3) = e4
| unit = e1
| unit = e0
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_191,c_0_302]) ).
cnf(c_0_313,plain,
( op(e3,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_303]),c_0_304]) ).
cnf(c_0_314,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_315,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_316,plain,
op(e1,e1) != e0,
inference(rw,[status(thm)],[c_0_305,c_0_51]) ).
cnf(c_0_317,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_318,plain,
( epred8_0
=> ( epred7_0
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_258]),c_0_306]) ).
cnf(c_0_319,plain,
( op(e1,e3) = e1
| op(e4,e3) = e0
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_320,plain,
( op(e4,e2) = e0
| epred8_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_309]),c_0_310]) ).
cnf(c_0_321,plain,
op(e1,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_322,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_323,plain,
( op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_32]),c_0_33]) ).
cnf(c_0_324,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_325,plain,
( epred5_0
| op(e1,e0) != e4 ),
inference(spm,[status(thm)],[c_0_314,c_0_77]) ).
cnf(c_0_326,plain,
op(e3,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_327,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_16]),c_0_316]),c_0_52]) ).
cnf(c_0_328,plain,
( op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_16]),c_0_156]) ).
cnf(c_0_329,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_330,plain,
( ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_318])])]) ).
cnf(c_0_331,plain,
( op(e1,e3) = e1
| epred8_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_319]),c_0_320]) ).
cnf(c_0_332,plain,
( op(e1,e0) = e1
| epred8_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_295]) ).
cnf(c_0_333,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_334,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_335,plain,
op(e1,e1) != e3,
inference(rw,[status(thm)],[c_0_321,c_0_16]) ).
cnf(c_0_336,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_337,plain,
( op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_338,plain,
( op(e0,e3) = e4
| op(e0,e0) = e4
| unit = e1
| unit = e0
| epred5_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_324]),c_0_43]),c_0_33]),c_0_156]),c_0_325]) ).
cnf(c_0_339,plain,
( unit = e0
| unit = e1
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_326,c_0_62]) ).
cnf(c_0_340,plain,
( op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4
| op(e2,e1) = e0
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_84]) ).
cnf(c_0_341,plain,
( unit = e0
| unit = e1
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_329,c_0_253]) ).
cnf(c_0_342,plain,
( op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| op(op(e1,e0),e1) != e0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_330]) ).
cnf(c_0_343,plain,
( epred8_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_331]),c_0_332]) ).
cnf(c_0_344,plain,
( unit = e0
| unit = e1
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_333,c_0_75]) ).
cnf(c_0_345,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_51]),c_0_335]),c_0_52]) ).
cnf(c_0_346,plain,
( unit = e0
| unit = e1
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_336,c_0_178]) ).
cnf(c_0_347,plain,
( epred7_0
| op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_330]) ).
cnf(c_0_348,plain,
( op(e0,e0) = e4
| op(e3,e0) = e4
| op(e3,e1) = e4
| unit = e0
| unit = e1
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]) ).
cnf(c_0_349,plain,
( op(e2,e1) = e0
| op(e0,e1) = e4
| op(e1,e1) = e4
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_340]),c_0_43]),c_0_341]) ).
cnf(c_0_350,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_351,plain,
( op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| epred5_0
| op(op(e1,e0),e1) != e0 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_352,plain,
( op(e1,e0) = e3
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]) ).
cnf(c_0_353,plain,
( epred7_0
| epred5_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 ),
inference(spm,[status(thm)],[c_0_347,c_0_343]) ).
cnf(c_0_354,plain,
( op(e3,e0) = e4
| op(e0,e0) = e4
| unit = e1
| unit = e0
| epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_348]),c_0_84]),c_0_43]) ).
cnf(c_0_355,plain,
( op(e1,e1) = e4
| op(e0,e1) = e4
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_349]),c_0_59]) ).
cnf(c_0_356,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| op(e0,e1) != e4 ),
inference(spm,[status(thm)],[c_0_350,c_0_68]) ).
cnf(c_0_357,plain,
( op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| epred7_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_185]) ).
cnf(c_0_358,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_359,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_360,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_361,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_362,plain,
( op(e0,e0) = e4
| unit = e0
| unit = e1
| epred7_0
| epred5_0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_338]) ).
cnf(c_0_363,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_355]),c_0_356]) ).
cnf(c_0_364,plain,
( op(op(e0,e3),e3) = e0
| unit = e1
| unit = e0
| epred7_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_80]),c_0_32]),c_0_358]) ).
cnf(c_0_365,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[c_0_359,c_0_246]) ).
cnf(c_0_366,plain,
( unit = e0
| unit = e1
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_360,c_0_205]) ).
cnf(c_0_367,plain,
( unit = e0
| unit = e1
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_361,c_0_180]) ).
cnf(c_0_368,plain,
( op(e0,e0) = e4
| unit = e1
| unit = e0
| epred7_0
| epred5_0
| op(op(e1,e0),e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_80]),c_0_354]) ).
cnf(c_0_369,plain,
( op(e3,e1) = e0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_363]),c_0_180]) ).
cnf(c_0_370,plain,
( op(e0,e0) = e1
| unit = e0
| unit = e1
| epred7_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_87]),c_0_366]),c_0_367]) ).
cnf(c_0_371,plain,
( op(e0,e0) = e4
| unit = e0
| unit = e1
| epred7_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_352]),c_0_369]) ).
cnf(c_0_372,plain,
( unit = e1
| unit = e0
| epred7_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_43]) ).
cnf(c_0_373,plain,
( epred7_0
| op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_330]) ).
cnf(c_0_374,plain,
( unit = e0
| epred7_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_372]),c_0_90]) ).
fof(c_0_375,plain,
( epred7_0
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ) ),
inference(split_equiv,[status(thm)],[c_0_306]) ).
cnf(c_0_376,plain,
( epred7_0
| epred5_0
| op(e1,e0) != op(e0,e1)
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(spm,[status(thm)],[c_0_373,c_0_343]) ).
cnf(c_0_377,plain,
( op(e1,e0) = e1
| epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_374]) ).
cnf(c_0_378,plain,
( op(e0,e1) = e1
| epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_374]) ).
fof(c_0_379,plain,
( ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_375])])]) ).
cnf(c_0_380,plain,
( epred7_0
| epred5_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]) ).
cnf(c_0_381,plain,
( op(e3,e0) = e3
| epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_374]) ).
cnf(c_0_382,plain,
( op(e0,e3) = e3
| epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_374]) ).
cnf(c_0_383,plain,
( op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2)
| $false
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_379]) ).
cnf(c_0_384,plain,
( epred7_0
| epred5_0
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_382]) ).
cnf(c_0_385,plain,
( op(e4,e0) = e4
| epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_374]) ).
cnf(c_0_386,plain,
( op(e0,e4) = e4
| epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_374]) ).
cnf(c_0_387,plain,
( op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2)
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_383]) ).
cnf(c_0_388,plain,
( epred7_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_386]) ).
cnf(c_0_389,plain,
( op(op(e0,e1),e1) = e0
| epred5_0
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
fof(c_0_390,plain,
( epred4_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_391,plain,
( op(op(e0,e1),e1) = e0
| unit = e0
| unit = e1
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_153]),c_0_253]) ).
cnf(c_0_392,plain,
( unit = e1
| unit = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_175,c_0_369]) ).
fof(c_0_393,plain,
( epred5_0
=> ( epred4_0
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_18]),c_0_390]) ).
cnf(c_0_394,plain,
( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| $false
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_379]) ).
cnf(c_0_395,plain,
( unit = e1
| unit = e0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_293]),c_0_392]) ).
fof(c_0_396,plain,
( ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_393])])]) ).
cnf(c_0_397,plain,
( op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2)
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_394]) ).
cnf(c_0_398,plain,
( unit = e0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_395]),c_0_90]) ).
cnf(c_0_399,plain,
op(e0,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_400,plain,
( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_396]) ).
cnf(c_0_401,plain,
( epred5_0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_397,c_0_388]) ).
cnf(c_0_402,plain,
( op(e1,e0) = e1
| epred5_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_398]) ).
cnf(c_0_403,plain,
( op(e0,e1) = e1
| epred5_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_398]) ).
cnf(c_0_404,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_405,plain,
( op(e2,e1) = e0
| unit = e0
| unit = e1
| epred13_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_83]),c_0_84]),c_0_341]) ).
fof(c_0_406,plain,
( epred3_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_407,plain,
( op(e4,e3) = e0
| unit = e1
| unit = e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_109,c_0_73]) ).
cnf(c_0_408,plain,
( op(e4,e3) = e0
| unit = e1
| unit = e0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_399,c_0_73]) ).
cnf(c_0_409,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[c_0_400,c_0_335]) ).
cnf(c_0_410,plain,
( epred5_0
| op(e2,e0) != op(e0,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_403]) ).
cnf(c_0_411,plain,
( op(e2,e0) = e2
| epred5_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_398]) ).
cnf(c_0_412,plain,
( op(e0,e2) = e2
| epred5_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_398]) ).
cnf(c_0_413,plain,
( unit = e0
| unit = e1
| epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_405]),c_0_59]) ).
fof(c_0_414,plain,
( epred4_0
=> ( epred3_0
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_390]),c_0_406]) ).
cnf(c_0_415,plain,
op(e3,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_416,plain,
( op(e4,e3) = e0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_286]),c_0_408]) ).
cnf(c_0_417,plain,
( op(e3,e3) = e0
| epred4_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[c_0_409,c_0_268]) ).
cnf(c_0_418,plain,
epred5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412]) ).
cnf(c_0_419,plain,
( unit = e0
| epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_413]),c_0_90]) ).
fof(c_0_420,plain,
( ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_414])])]) ).
cnf(c_0_421,plain,
( unit = e1
| unit = e0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_422,plain,
( op(e3,e3) = e0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_417,c_0_418])]) ).
cnf(c_0_423,plain,
( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_396]) ).
cnf(c_0_424,plain,
( op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| op(e3,e4) != op(e4,e3)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_425,plain,
( op(e4,e0) = e4
| epred13_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_419]) ).
cnf(c_0_426,plain,
( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e1
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_420]) ).
cnf(c_0_427,plain,
( unit = e0
| unit = e1
| epred4_0 ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_428,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[c_0_423,c_0_335]) ).
cnf(c_0_429,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_430,plain,
( op(op(e4,e2),e2) = e4
| op(e3,e1) = e4
| epred13_0
| op(e4,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_16]),c_0_32]),c_0_45])]) ).
cnf(c_0_431,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_425]) ).
cnf(c_0_432,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_425]) ).
cnf(c_0_433,plain,
( op(e0,e2) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_419]) ).
cnf(c_0_434,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_435,plain,
( op(e0,e4) = e4
| epred13_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_419]) ).
cnf(c_0_436,plain,
( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_420]) ).
cnf(c_0_437,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_12]),c_0_41]) ).
cnf(c_0_438,plain,
( unit = e0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_427]),c_0_90]) ).
cnf(c_0_439,plain,
( op(e0,e0) = e3
| epred4_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[c_0_428,c_0_268]) ).
cnf(c_0_440,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_441,plain,
op(e3,e2) != e2,
inference(rw,[status(thm)],[c_0_429,c_0_32]) ).
cnf(c_0_442,plain,
( op(op(e4,e2),e2) = e4
| op(e4,e3) = e0
| op(e3,e1) = e4
| epred13_0 ),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
cnf(c_0_443,plain,
( op(e4,e2) = e0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_432]),c_0_433]) ).
cnf(c_0_444,plain,
( epred13_0
| op(e0,e2) != e4 ),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
cnf(c_0_445,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_12]),c_0_41]),c_0_437]) ).
cnf(c_0_446,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_447,plain,
( op(e0,e3) = e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_438]) ).
cnf(c_0_448,plain,
( op(e0,e0) = e3
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_418])]) ).
cnf(c_0_449,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_450,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(sr,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_451,plain,
( op(e3,e1) = e4
| op(e4,e3) = e0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_444]) ).
cnf(c_0_452,plain,
( op(e2,e2) = e1
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[c_0_445,c_0_268]) ).
cnf(c_0_453,plain,
epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_448]) ).
cnf(c_0_454,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_455,plain,
( op(e3,e1) = e4
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_451]),c_0_443]) ).
cnf(c_0_456,plain,
( epred13_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_326,c_0_443]) ).
cnf(c_0_457,plain,
( op(e2,e2) = e1
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_453])]) ).
cnf(c_0_458,plain,
( op(e3,e2) = e3
| op(e3,e2) = e1
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_456]) ).
cnf(c_0_459,plain,
( op(e3,e0) = e3
| epred13_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_419]) ).
cnf(c_0_460,plain,
( unit = e0
| unit = e1
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_457]),c_0_41]) ).
cnf(c_0_461,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_462,plain,
( op(e3,e2) = e1
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_458]),c_0_459]) ).
cnf(c_0_463,plain,
( unit = e0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_460]),c_0_90]) ).
cnf(c_0_464,plain,
( epred13_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_465,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_466,plain,
( op(e4,e0) = e4
| epred3_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_463]) ).
cnf(c_0_467,plain,
( epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_457]) ).
cnf(c_0_468,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_469,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(sr,[status(thm)],[c_0_465,c_0_268]) ).
cnf(c_0_470,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_471,plain,
( op(e0,e4) = e4
| epred3_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_463]) ).
cnf(c_0_472,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_466]) ).
cnf(c_0_473,plain,
( op(e0,e2) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_463]) ).
cnf(c_0_474,plain,
( epred12_0
| epred3_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_467]) ).
cnf(c_0_475,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e3
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
cnf(c_0_476,plain,
( op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_95,c_0_296]) ).
cnf(c_0_477,plain,
( epred3_0
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_478,plain,
( op(e4,e2) = e0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_472]),c_0_473]) ).
cnf(c_0_479,plain,
( epred12_0
| epred3_0
| op(e4,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_466]),c_0_471]) ).
cnf(c_0_480,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_466]) ).
cnf(c_0_481,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_475,c_0_450]) ).
cnf(c_0_482,plain,
( op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_466]),c_0_477]) ).
cnf(c_0_483,plain,
( epred3_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_326,c_0_478]) ).
cnf(c_0_484,plain,
( op(e4,e3) = e0
| epred12_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_485,plain,
( op(e2,e3) = e4
| op(e1,e3) = e4
| op(e3,e2) = e3
| op(e3,e2) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_156]),c_0_43]),c_0_84]),c_0_483]) ).
cnf(c_0_486,plain,
( op(e3,e0) = e3
| epred3_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_463]) ).
cnf(c_0_487,plain,
( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| epred11_0
| op(e0,e3) != op(e3,e0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_488,plain,
( epred12_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_484]),c_0_478]) ).
cnf(c_0_489,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_490,plain,
( op(e3,e2) = e1
| op(e1,e3) = e4
| op(e2,e3) = e4
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_485]),c_0_486]) ).
cnf(c_0_491,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_492,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_493,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| op(e3,e2) = e3
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_454,c_0_68]) ).
cnf(c_0_494,plain,
( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| epred11_0
| epred3_0
| op(e3,e0) != op(e0,e3) ),
inference(spm,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_495,plain,
( op(e0,e3) = e3
| epred3_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_463]) ).
cnf(c_0_496,plain,
( op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4
| op(e2,e3) != e4 ),
inference(spm,[status(thm)],[c_0_489,c_0_323]) ).
cnf(c_0_497,plain,
( op(e2,e3) = e4
| op(e1,e3) = e4
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_490]),c_0_457]) ).
cnf(c_0_498,plain,
( op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4
| op(e1,e3) != e4 ),
inference(spm,[status(thm)],[c_0_491,c_0_323]) ).
cnf(c_0_499,plain,
( epred3_0
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_492,c_0_466]) ).
cnf(c_0_500,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_189,c_0_493]) ).
cnf(c_0_501,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3
| epred11_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_486]),c_0_495]) ).
cnf(c_0_502,plain,
( op(e3,e1) = e4
| op(e3,e2) = e4
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_497]),c_0_498]),c_0_499]) ).
cnf(c_0_503,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| op(e3,e2) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_486]),c_0_483]) ).
cnf(c_0_504,plain,
( op(op(e3,e1),e1) = e3
| op(e3,e1) = e4
| epred11_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_100]) ).
cnf(c_0_505,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_503]),c_0_457]) ).
cnf(c_0_506,plain,
( epred10_0
| op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| $false
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_507,plain,
( op(e3,e1) = e0
| epred11_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_335]),c_0_43]) ).
cnf(c_0_508,plain,
( epred10_0
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_506]) ).
cnf(c_0_509,plain,
( epred11_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_507]),c_0_186]),c_0_84]) ).
cnf(c_0_510,plain,
( epred10_0
| epred3_0
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 ),
inference(spm,[status(thm)],[c_0_508,c_0_509]) ).
cnf(c_0_511,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_512,plain,
( op(e3,e1) = e4
| epred10_0
| epred3_0
| op(op(e2,e4),e2) != e4
| op(e2,e3) != e4 ),
inference(spm,[status(thm)],[c_0_510,c_0_502]) ).
cnf(c_0_513,plain,
( op(e2,e4) = e3
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_511,c_0_147]) ).
cnf(c_0_514,plain,
( op(e0,e1) = e1
| epred3_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_463]) ).
cnf(c_0_515,plain,
( op(e1,e3) = e4
| op(e3,e1) = e4
| epred10_0
| epred3_0
| op(op(e2,e4),e2) != e4 ),
inference(spm,[status(thm)],[c_0_512,c_0_497]) ).
cnf(c_0_516,plain,
( op(e2,e4) = e3
| epred3_0 ),
inference(spm,[status(thm)],[c_0_513,c_0_471]) ).
cnf(c_0_517,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| op(op(e2,e4),e2) != e4
| $false
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_518,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_519,plain,
( op(e3,e1) = e0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_505]),c_0_514]) ).
cnf(c_0_520,plain,
( op(e3,e1) = e4
| op(e1,e3) = e4
| epred10_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_502]) ).
cnf(c_0_521,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| op(op(e2,e4),e2) != e4
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_517]) ).
cnf(c_0_522,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0
| op(e1,e3) != e4 ),
inference(spm,[status(thm)],[c_0_333,c_0_518]) ).
cnf(c_0_523,plain,
( op(e1,e3) = e4
| epred10_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_84]) ).
cnf(c_0_524,plain,
( epred3_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_516]) ).
cnf(c_0_525,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| epred3_0
| op(op(e2,e4),e2) != e4 ),
inference(spm,[status(thm)],[c_0_521,c_0_509]) ).
cnf(c_0_526,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_527,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| epred10_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_523]),c_0_524]) ).
cnf(c_0_528,plain,
( op(e2,e0) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_463]) ).
cnf(c_0_529,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_530,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| epred3_0
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_525,c_0_516]) ).
cnf(c_0_531,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_532,plain,
( op(e2,e3) = e1
| op(e2,e3) = e0
| epred10_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_528]) ).
cnf(c_0_533,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[c_0_529,c_0_87]) ).
cnf(c_0_534,plain,
( op(op(e2,e3),e3) = e2
| op(e3,e1) = e4
| epred10_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_530,c_0_502]) ).
cnf(c_0_535,plain,
( op(e2,e3) = e0
| epred10_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_532]),c_0_457]) ).
cnf(c_0_536,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e0,e3) = e0
| op(e4,e2) != e0 ),
inference(spm,[status(thm)],[c_0_48,c_0_533]) ).
cnf(c_0_537,plain,
( op(e3,e1) = e4
| op(e0,e3) = e2
| epred10_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_538,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_539,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_540,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_536,c_0_478]) ).
cnf(c_0_541,plain,
( op(op(e2,e1),e1) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| op(e0,e2) != op(e2,e0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_542,plain,
( op(e0,e3) = e2
| epred10_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_537]),c_0_84]) ).
cnf(c_0_543,plain,
( op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_511,c_0_538]) ).
cnf(c_0_544,plain,
( epred3_0
| op(e2,e0) != e4 ),
inference(spm,[status(thm)],[c_0_151,c_0_466]) ).
cnf(c_0_545,plain,
( op(e2,e3) = e0
| op(e0,e3) = e0
| epred3_0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_539,c_0_540]) ).
cnf(c_0_546,plain,
( op(op(e2,e1),e1) = e2
| epred9_0
| op(e2,e0) != op(e0,e2)
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_51]),c_0_246]) ).
cnf(c_0_547,plain,
( epred10_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_542]),c_0_53]) ).
cnf(c_0_548,plain,
( op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_471]),c_0_544]) ).
cnf(c_0_549,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_545,c_0_519]) ).
cnf(c_0_550,plain,
( op(op(e2,e1),e1) = e2
| epred9_0
| epred3_0
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_546,c_0_547]) ).
cnf(c_0_551,plain,
( op(e0,e3) = e0
| op(e2,e2) = e4
| op(e2,e1) = e4
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_549]),c_0_84]) ).
cnf(c_0_552,plain,
( op(op(e2,e1),e1) = e2
| epred9_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_528]),c_0_473]) ).
cnf(c_0_553,plain,
( op(e2,e1) = e4
| op(e0,e3) = e0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_551]),c_0_43]) ).
cnf(c_0_554,plain,
( op(op(e1,e2),e2) = e1
| epred8_0
| op(op(e1,e3),e1) != e3
| $false
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_555,plain,
( op(e0,e3) = e0
| epred9_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_16]),c_0_53]) ).
cnf(c_0_556,plain,
( op(op(e1,e2),e2) = e1
| epred8_0
| op(op(e1,e3),e1) != e3
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_554]) ).
cnf(c_0_557,plain,
( epred9_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_555]),c_0_52]) ).
cnf(c_0_558,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_559,plain,
( op(op(e1,e2),e2) = e1
| epred8_0
| epred3_0
| op(op(e1,e3),e1) != e3 ),
inference(spm,[status(thm)],[c_0_556,c_0_557]) ).
cnf(c_0_560,plain,
( op(e0,e3) = e0
| op(e1,e3) = e4
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_549]),c_0_84]) ).
cnf(c_0_561,plain,
( op(e1,e2) = e3
| op(e1,e0) = e3
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_104,c_0_345]) ).
cnf(c_0_562,plain,
( epred3_0
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_558,c_0_486]) ).
cnf(c_0_563,plain,
( op(op(e1,e2),e2) = e1
| op(e0,e3) = e0
| epred8_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_16])]) ).
cnf(c_0_564,plain,
( op(e1,e2) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_495]),c_0_562]) ).
cnf(c_0_565,plain,
( op(e0,e3) = e0
| op(e3,e2) = e1
| epred8_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_563,c_0_564]) ).
cnf(c_0_566,plain,
( op(e0,e3) = e0
| epred8_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_565]),c_0_457]) ).
cnf(c_0_567,plain,
( epred8_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_566]),c_0_52]) ).
cnf(c_0_568,plain,
( epred7_0
| epred3_0
| op(e1,e0) != op(e0,e1)
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(spm,[status(thm)],[c_0_373,c_0_567]) ).
cnf(c_0_569,plain,
( op(e1,e0) = e1
| epred3_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_463]) ).
cnf(c_0_570,plain,
( epred7_0
| epred3_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_514]) ).
fof(c_0_571,plain,
( epred2_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ) ),
introduced(definition) ).
cnf(c_0_572,plain,
( epred7_0
| epred3_0
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_486]),c_0_495]) ).
fof(c_0_573,plain,
( epred3_0
=> ( epred2_0
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_406]),c_0_571]) ).
cnf(c_0_574,plain,
( epred7_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_466]),c_0_471]) ).
fof(c_0_575,plain,
( ( op(e2,e2) = e0
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e4,e4) = e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e4,e4) = e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e4,e4) = e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e4) != e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e4) != e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e4) != e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e4
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e4
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e4
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e4,e4) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e4,e4) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e4,e4) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e4) != e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e4) != e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e4) != e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e4
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e4
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e4
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e4,e4) = e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e4,e4) = e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e4,e4) = e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e4) != e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e4) != e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e4) != e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_573])])]) ).
cnf(c_0_576,plain,
( epred3_0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_397,c_0_574]) ).
cnf(c_0_577,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| op(e2,e0) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_578,plain,
( epred3_0
| op(e2,e0) != op(e0,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_569]),c_0_514]) ).
cnf(c_0_579,plain,
( op(e1,e1) = e4
| epred2_0
| op(e2,e0) != e2
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_577,c_0_335]) ).
cnf(c_0_580,plain,
epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_528]),c_0_473]) ).
cnf(c_0_581,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_582,plain,
( op(e1,e1) = e4
| epred2_0
| op(e2,e0) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_579,c_0_580])]) ).
cnf(c_0_583,plain,
( op(e2,e0) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_419]) ).
cnf(c_0_584,plain,
( epred13_0
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_67,c_0_455]) ).
cnf(c_0_585,plain,
( op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_581,c_0_16]),c_0_12]),c_0_53]),c_0_41]) ).
cnf(c_0_586,plain,
( epred13_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_584]) ).
cnf(c_0_587,plain,
op(e2,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_588,plain,
( op(e4,e2) = e2
| op(e4,e0) = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_416]),c_0_358]) ).
cnf(c_0_589,plain,
( op(op(e4,e0),e0) = e4
| op(e2,e4) = e3
| epred12_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_586]) ).
cnf(c_0_590,plain,
( op(e4,e0) = e2
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_283]) ).
cnf(c_0_591,plain,
( op(e2,e4) = e3
| unit = e1
| unit = e0
| epred12_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_150]) ).
cnf(c_0_592,plain,
( unit = e0
| unit = e1
| epred12_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_591]),c_0_75]) ).
cnf(c_0_593,plain,
( unit = e0
| epred12_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_592]),c_0_90]) ).
cnf(c_0_594,plain,
( epred12_0
| epred2_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_586]) ).
cnf(c_0_595,plain,
( op(e4,e0) = e4
| epred12_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_593]) ).
cnf(c_0_596,plain,
( op(e0,e4) = e4
| epred12_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_593]) ).
cnf(c_0_597,plain,
( epred12_0
| epred2_0
| op(e4,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_595]),c_0_596]) ).
cnf(c_0_598,plain,
( op(e4,e3) = e0
| epred12_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_595]),c_0_597]) ).
cnf(c_0_599,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred12_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_595]) ).
cnf(c_0_600,plain,
( op(e0,e2) = e2
| epred12_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_593]) ).
cnf(c_0_601,plain,
( epred12_0
| epred2_0
| op(e4,e2) != e0 ),
inference(spm,[status(thm)],[c_0_48,c_0_598]) ).
cnf(c_0_602,plain,
( epred12_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_599]),c_0_600]),c_0_601]) ).
cnf(c_0_603,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| epred2_0
| op(e3,e2) != op(e2,e3) ),
inference(spm,[status(thm)],[c_0_172,c_0_602]) ).
cnf(c_0_604,plain,
( op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| unit = e0
| unit = e1
| epred11_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_178]),c_0_75]) ).
cnf(c_0_605,plain,
( op(op(e3,e0),e0) = e3
| unit = e1
| unit = e0
| epred11_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_369]),c_0_186]) ).
cnf(c_0_606,plain,
( unit = e1
| unit = e0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_190,c_0_369]) ).
cnf(c_0_607,plain,
( op(e3,e0) = e1
| unit = e0
| unit = e1
| epred11_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_194]),c_0_139]),c_0_195]),c_0_606]) ).
cnf(c_0_608,plain,
( epred11_0
| epred2_0
| op(e3,e0) != op(e0,e3)
| op(e3,e2) != op(e2,e3)
| op(op(e3,e1),e3) != e1 ),
inference(spm,[status(thm)],[c_0_197,c_0_602]) ).
cnf(c_0_609,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| unit = e1
| unit = e0
| epred11_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_607]) ).
cnf(c_0_610,plain,
( unit = e1
| unit = e0
| epred11_0
| epred2_0
| op(e3,e2) != op(e2,e3)
| op(op(e3,e1),e3) != e1
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_608,c_0_607]) ).
cnf(c_0_611,plain,
( op(e1,e3) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| epred11_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_609]),c_0_42]) ).
cnf(c_0_612,plain,
( unit = e0
| unit = e1
| epred11_0
| epred2_0
| op(op(e3,e1),e3) != e1
| op(e0,e3) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_178]),c_0_75]) ).
cnf(c_0_613,plain,
( op(e0,e3) = e1
| unit = e1
| unit = e0
| epred11_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_611]),c_0_205]) ).
cnf(c_0_614,plain,
( unit = e1
| unit = e0
| epred11_0
| epred2_0
| op(op(e3,e1),e3) != e1 ),
inference(spm,[status(thm)],[c_0_612,c_0_613]) ).
cnf(c_0_615,plain,
( unit = e0
| unit = e1
| epred11_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_369]),c_0_613]) ).
cnf(c_0_616,plain,
( unit = e0
| epred11_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_615]),c_0_90]) ).
cnf(c_0_617,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_618,plain,
( op(e0,e2) = e2
| epred11_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_616]) ).
cnf(c_0_619,plain,
( op(e2,e0) = e2
| epred11_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_616]) ).
cnf(c_0_620,plain,
( op(e1,e1) = e2
| op(e0,e1) = e2
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_617,c_0_288]) ).
cnf(c_0_621,plain,
( epred11_0
| epred2_0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_329,c_0_618]) ).
cnf(c_0_622,plain,
( op(e1,e1) = e4
| epred11_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_619]) ).
cnf(c_0_623,plain,
( op(e1,e1) = e2
| epred11_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_619]),c_0_621]) ).
cnf(c_0_624,plain,
( epred11_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_33]) ).
cnf(c_0_625,plain,
( epred10_0
| epred2_0
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) ),
inference(spm,[status(thm)],[c_0_226,c_0_624]) ).
cnf(c_0_626,plain,
( unit = e0
| unit = e1
| epred10_0
| epred2_0
| op(e4,e2) != op(e2,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_178]),c_0_75]) ).
cnf(c_0_627,plain,
( unit = e1
| unit = e0
| epred10_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_62]),c_0_63]) ).
cnf(c_0_628,plain,
( unit = e0
| epred10_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_627]),c_0_90]) ).
cnf(c_0_629,plain,
( op(e0,e2) = e2
| epred10_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_628]) ).
cnf(c_0_630,plain,
( op(e2,e0) = e2
| epred10_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_628]) ).
cnf(c_0_631,plain,
( epred10_0
| epred2_0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_329,c_0_629]) ).
cnf(c_0_632,plain,
( op(e1,e1) = e4
| epred10_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_630]) ).
cnf(c_0_633,plain,
( op(e1,e1) = e2
| epred10_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_630]),c_0_631]) ).
cnf(c_0_634,plain,
( epred10_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_633]),c_0_33]) ).
cnf(c_0_635,plain,
( epred9_0
| epred2_0
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2) ),
inference(spm,[status(thm)],[c_0_249,c_0_634]) ).
cnf(c_0_636,plain,
( unit = e0
| unit = e1
| epred9_0
| epred2_0
| op(e2,e1) != op(e1,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_153]),c_0_253]) ).
cnf(c_0_637,plain,
( unit = e1
| unit = e0
| epred9_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_180]),c_0_205]) ).
cnf(c_0_638,plain,
( unit = e0
| epred9_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_637]),c_0_90]) ).
cnf(c_0_639,plain,
( op(e0,e2) = e2
| epred9_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_638]) ).
cnf(c_0_640,plain,
( op(e2,e0) = e2
| epred9_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_638]) ).
cnf(c_0_641,plain,
( epred9_0
| epred2_0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_329,c_0_639]) ).
cnf(c_0_642,plain,
( op(e2,e2) = e0
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_643,plain,
( op(e1,e1) = e4
| epred9_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_640]) ).
cnf(c_0_644,plain,
( op(e1,e1) = e2
| epred9_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_640]),c_0_641]) ).
cnf(c_0_645,plain,
( op(e2,e2) = e0
| op(e1,e1) = e4
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_642,c_0_335]) ).
cnf(c_0_646,plain,
( epred9_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_644]),c_0_33]) ).
cnf(c_0_647,plain,
( op(e2,e2) = e0
| op(e1,e1) = e4
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_645,c_0_580])]) ).
cnf(c_0_648,plain,
( op(op(e1,e3),e3) = e1
| epred8_0
| epred2_0
| op(e2,e1) != op(e1,e2) ),
inference(spm,[status(thm)],[c_0_277,c_0_646]) ).
cnf(c_0_649,plain,
( op(e1,e1) = e4
| unit = e0
| unit = e1
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_647]),c_0_358]) ).
cnf(c_0_650,plain,
( op(op(e1,e3),e3) = e1
| unit = e0
| unit = e1
| epred8_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_180]),c_0_205]) ).
cnf(c_0_651,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| unit = e1
| unit = e0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_649]),c_0_344]) ).
cnf(c_0_652,plain,
( op(e0,e3) = e2
| op(e2,e3) = e1
| unit = e1
| unit = e0
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_286]) ).
cnf(c_0_653,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e1
| epred2_0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_104,c_0_651]) ).
cnf(c_0_654,plain,
( op(e0,e3) = e2
| unit = e0
| unit = e1
| epred8_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_652]),c_0_42]) ).
cnf(c_0_655,plain,
( op(e1,e3) = e1
| unit = e1
| unit = e0
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_653,c_0_654]) ).
cnf(c_0_656,plain,
( unit = e0
| unit = e1
| epred8_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_655]),c_0_205]) ).
cnf(c_0_657,plain,
( unit = e0
| epred8_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_656]),c_0_90]) ).
cnf(c_0_658,plain,
( op(e0,e2) = e2
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_657]) ).
cnf(c_0_659,plain,
( op(e2,e0) = e2
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_657]) ).
cnf(c_0_660,plain,
( epred8_0
| epred2_0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_329,c_0_658]) ).
cnf(c_0_661,plain,
( op(e0,e3) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4
| unit = e1
| unit = e0
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_91,c_0_324]) ).
cnf(c_0_662,plain,
( unit = e1
| unit = e0
| epred2_0
| op(e1,e0) != e4 ),
inference(spm,[status(thm)],[c_0_314,c_0_649]) ).
cnf(c_0_663,plain,
( op(e1,e1) = e4
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_659]) ).
cnf(c_0_664,plain,
( op(e1,e1) = e2
| epred8_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_659]),c_0_660]) ).
cnf(c_0_665,plain,
( op(e0,e0) = e4
| op(e0,e3) = e4
| unit = e0
| unit = e1
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_649]),c_0_662]) ).
cnf(c_0_666,plain,
( epred8_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_664]),c_0_33]) ).
cnf(c_0_667,plain,
( op(e0,e0) = e4
| op(e3,e0) = e4
| op(e3,e1) = e4
| unit = e1
| unit = e0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_665]),c_0_339]) ).
cnf(c_0_668,plain,
( op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| epred2_0
| op(op(e1,e0),e1) != e0 ),
inference(spm,[status(thm)],[c_0_342,c_0_666]) ).
cnf(c_0_669,plain,
( epred7_0
| epred2_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 ),
inference(spm,[status(thm)],[c_0_347,c_0_666]) ).
cnf(c_0_670,plain,
( op(e3,e0) = e4
| op(e0,e0) = e4
| unit = e1
| unit = e0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_667]),c_0_84]) ).
cnf(c_0_671,plain,
( op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| epred7_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_352]),c_0_369]) ).
cnf(c_0_672,plain,
( op(e0,e0) = e4
| unit = e0
| unit = e1
| epred7_0
| epred2_0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_670]),c_0_665]) ).
cnf(c_0_673,plain,
( op(op(e0,e3),e3) = e0
| unit = e1
| unit = e0
| epred7_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_80]),c_0_32]),c_0_358]) ).
cnf(c_0_674,plain,
( op(e0,e0) = e4
| unit = e1
| unit = e0
| epred7_0
| epred2_0
| op(op(e1,e0),e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_80]),c_0_670]) ).
cnf(c_0_675,plain,
( op(e0,e0) = e1
| unit = e0
| unit = e1
| epred7_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_365]),c_0_87]),c_0_366]),c_0_367]) ).
cnf(c_0_676,plain,
( op(e0,e0) = e4
| unit = e0
| unit = e1
| epred7_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_352]),c_0_369]) ).
cnf(c_0_677,plain,
( unit = e1
| unit = e0
| epred7_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_676]),c_0_43]) ).
cnf(c_0_678,plain,
( unit = e0
| epred7_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_677]),c_0_90]) ).
cnf(c_0_679,plain,
( epred7_0
| epred2_0
| op(e1,e0) != op(e0,e1)
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(spm,[status(thm)],[c_0_373,c_0_666]) ).
cnf(c_0_680,plain,
( op(e1,e0) = e1
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_678]) ).
cnf(c_0_681,plain,
( op(e0,e1) = e1
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_678]) ).
cnf(c_0_682,plain,
( epred7_0
| epred2_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_680]),c_0_681]) ).
cnf(c_0_683,plain,
( op(e3,e0) = e3
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_678]) ).
cnf(c_0_684,plain,
( op(e0,e3) = e3
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_678]) ).
cnf(c_0_685,plain,
( epred7_0
| epred2_0
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_683]),c_0_684]) ).
cnf(c_0_686,plain,
( op(e4,e0) = e4
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_678]) ).
cnf(c_0_687,plain,
( op(e0,e4) = e4
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_678]) ).
cnf(c_0_688,plain,
( epred7_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_686]),c_0_687]) ).
cnf(c_0_689,plain,
( op(op(e0,e1),e1) = e0
| epred2_0
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_387,c_0_688]) ).
fof(c_0_690,plain,
( epred1_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_691,plain,
( op(op(e0,e1),e1) = e0
| unit = e0
| unit = e1
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_153]),c_0_253]) ).
cnf(c_0_692,plain,
( op(e0,e1) = e2
| unit = e0
| unit = e1
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_649]),c_0_33]) ).
fof(c_0_693,plain,
( epred2_0
=> ( epred1_0
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_571]),c_0_690]) ).
cnf(c_0_694,plain,
( unit = e1
| unit = e0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_692]),c_0_392]) ).
fof(c_0_695,plain,
( ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_693])])]) ).
cnf(c_0_696,plain,
( unit = e0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_694]),c_0_90]) ).
cnf(c_0_697,plain,
( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_695]) ).
cnf(c_0_698,plain,
( epred2_0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_397,c_0_688]) ).
cnf(c_0_699,plain,
( op(e1,e0) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_696]) ).
cnf(c_0_700,plain,
( op(e0,e1) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_696]) ).
cnf(c_0_701,plain,
( op(e2,e2) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| op(e1,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_695]) ).
cnf(c_0_702,plain,
( op(e2,e2) = e1
| op(e1,e1) = e1
| epred1_0
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_697,c_0_12]),c_0_316]),c_0_59]) ).
cnf(c_0_703,plain,
( epred2_0
| op(e2,e0) != op(e0,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_699]),c_0_700]) ).
cnf(c_0_704,plain,
( op(e2,e0) = e2
| epred2_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_696]) ).
cnf(c_0_705,plain,
( op(e0,e2) = e2
| epred2_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_696]) ).
cnf(c_0_706,plain,
( op(e2,e2) = e1
| epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_701,c_0_12]),c_0_316]),c_0_59]),c_0_702]) ).
cnf(c_0_707,plain,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_704]),c_0_705]) ).
cnf(c_0_708,plain,
( op(e2,e2) = e1
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_706,c_0_707])]) ).
cnf(c_0_709,plain,
( unit = e0
| unit = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_708]),c_0_41]) ).
cnf(c_0_710,plain,
( unit = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_709]),c_0_90]) ).
cnf(c_0_711,plain,
( op(e4,e0) = e4
| epred1_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_710]) ).
cnf(c_0_712,plain,
( epred13_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_708]) ).
cnf(c_0_713,plain,
( op(e0,e4) = e4
| epred1_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_710]) ).
cnf(c_0_714,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_711]) ).
cnf(c_0_715,plain,
( op(e0,e2) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_710]) ).
cnf(c_0_716,plain,
( epred12_0
| epred1_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_712]) ).
cnf(c_0_717,plain,
( epred1_0
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[c_0_470,c_0_713]) ).
cnf(c_0_718,plain,
( op(e4,e2) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_714]),c_0_715]) ).
cnf(c_0_719,plain,
( epred12_0
| epred1_0
| op(e4,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_711]),c_0_713]) ).
cnf(c_0_720,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_711]) ).
cnf(c_0_721,plain,
( op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_711]),c_0_717]) ).
cnf(c_0_722,plain,
( epred1_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_326,c_0_718]) ).
cnf(c_0_723,plain,
( op(e4,e3) = e0
| epred12_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_719,c_0_720]) ).
cnf(c_0_724,plain,
( op(e2,e3) = e4
| op(e1,e3) = e4
| op(e3,e2) = e3
| op(e3,e2) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_721]),c_0_156]),c_0_43]),c_0_84]),c_0_722]) ).
cnf(c_0_725,plain,
( op(e3,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_710]) ).
cnf(c_0_726,plain,
( epred12_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_723]),c_0_718]) ).
cnf(c_0_727,plain,
( op(e3,e2) = e1
| op(e1,e3) = e4
| op(e2,e3) = e4
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_724]),c_0_725]) ).
cnf(c_0_728,plain,
( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| epred11_0
| epred1_0
| op(e3,e0) != op(e0,e3) ),
inference(spm,[status(thm)],[c_0_487,c_0_726]) ).
cnf(c_0_729,plain,
( op(e0,e3) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_710]) ).
cnf(c_0_730,plain,
( op(e2,e3) = e4
| op(e1,e3) = e4
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_727]),c_0_708]) ).
cnf(c_0_731,plain,
( epred1_0
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_492,c_0_711]) ).
cnf(c_0_732,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| op(e3,e2) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_725]),c_0_722]) ).
cnf(c_0_733,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3
| epred11_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_725]),c_0_729]) ).
cnf(c_0_734,plain,
( op(e3,e1) = e4
| op(e3,e2) = e4
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_730]),c_0_498]),c_0_731]) ).
cnf(c_0_735,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_732]),c_0_708]) ).
cnf(c_0_736,plain,
( op(e0,e1) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_710]) ).
cnf(c_0_737,plain,
( op(op(e3,e1),e1) = e3
| op(e3,e1) = e4
| epred11_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_733,c_0_734]),c_0_100]) ).
cnf(c_0_738,plain,
( op(e3,e1) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_735]),c_0_736]) ).
cnf(c_0_739,plain,
( epred11_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_738]),c_0_186]),c_0_84]) ).
cnf(c_0_740,plain,
( epred10_0
| epred1_0
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 ),
inference(spm,[status(thm)],[c_0_508,c_0_739]) ).
cnf(c_0_741,plain,
( op(e3,e1) = e4
| epred10_0
| epred1_0
| op(op(e2,e4),e2) != e4
| op(e2,e3) != e4 ),
inference(spm,[status(thm)],[c_0_740,c_0_734]) ).
cnf(c_0_742,plain,
( op(e1,e3) = e4
| op(e3,e1) = e4
| epred10_0
| epred1_0
| op(op(e2,e4),e2) != e4 ),
inference(spm,[status(thm)],[c_0_741,c_0_730]) ).
cnf(c_0_743,plain,
( op(e2,e4) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_513,c_0_713]) ).
cnf(c_0_744,plain,
( op(e3,e1) = e4
| op(e1,e3) = e4
| epred10_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_743]),c_0_734]) ).
cnf(c_0_745,plain,
( op(e1,e3) = e4
| epred10_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_744]),c_0_84]) ).
cnf(c_0_746,plain,
( epred1_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_743]) ).
cnf(c_0_747,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| epred1_0
| op(op(e2,e4),e2) != e4 ),
inference(spm,[status(thm)],[c_0_521,c_0_739]) ).
cnf(c_0_748,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| epred10_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_745]),c_0_746]) ).
cnf(c_0_749,plain,
( op(e2,e0) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_710]) ).
cnf(c_0_750,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| epred1_0
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_747,c_0_743]) ).
cnf(c_0_751,plain,
( op(e2,e3) = e1
| op(e2,e3) = e0
| epred10_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_748]),c_0_749]) ).
cnf(c_0_752,plain,
( op(op(e2,e3),e3) = e2
| op(e3,e1) = e4
| epred10_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_750,c_0_734]) ).
cnf(c_0_753,plain,
( op(e2,e3) = e0
| epred10_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_751]),c_0_708]) ).
cnf(c_0_754,plain,
( op(e3,e1) = e4
| op(e0,e3) = e2
| epred10_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_752,c_0_753]) ).
cnf(c_0_755,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_536,c_0_718]) ).
cnf(c_0_756,plain,
( op(e0,e3) = e2
| epred10_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_754]),c_0_84]) ).
cnf(c_0_757,plain,
( epred1_0
| op(e2,e0) != e4 ),
inference(spm,[status(thm)],[c_0_151,c_0_711]) ).
cnf(c_0_758,plain,
( op(e2,e3) = e0
| op(e0,e3) = e0
| epred1_0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_539,c_0_755]) ).
cnf(c_0_759,plain,
( epred10_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_756]),c_0_53]) ).
cnf(c_0_760,plain,
( op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_713]),c_0_757]) ).
cnf(c_0_761,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_758,c_0_738]) ).
cnf(c_0_762,plain,
( op(op(e2,e1),e1) = e2
| epred9_0
| epred1_0
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_546,c_0_759]) ).
cnf(c_0_763,plain,
( op(e0,e3) = e0
| op(e2,e2) = e4
| op(e2,e1) = e4
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_761]),c_0_84]) ).
cnf(c_0_764,plain,
( op(op(e2,e1),e1) = e2
| epred9_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_749]),c_0_715]) ).
cnf(c_0_765,plain,
( op(e2,e1) = e4
| op(e0,e3) = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_763]),c_0_43]) ).
cnf(c_0_766,plain,
( op(e0,e3) = e0
| epred9_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_765]),c_0_16]),c_0_53]) ).
cnf(c_0_767,plain,
( epred9_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_766]),c_0_52]) ).
cnf(c_0_768,plain,
( op(op(e1,e2),e2) = e1
| epred8_0
| epred1_0
| op(op(e1,e3),e1) != e3 ),
inference(spm,[status(thm)],[c_0_556,c_0_767]) ).
cnf(c_0_769,plain,
( op(e0,e3) = e0
| op(e1,e3) = e4
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_761]),c_0_84]) ).
cnf(c_0_770,plain,
( epred1_0
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_558,c_0_725]) ).
cnf(c_0_771,plain,
( op(op(e1,e2),e2) = e1
| op(e0,e3) = e0
| epred8_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_768,c_0_769]),c_0_16])]) ).
cnf(c_0_772,plain,
( op(e1,e2) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_729]),c_0_770]) ).
cnf(c_0_773,plain,
( op(e0,e3) = e0
| op(e3,e2) = e1
| epred8_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_771,c_0_772]) ).
cnf(c_0_774,plain,
( op(e0,e3) = e0
| epred8_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_773]),c_0_708]) ).
cnf(c_0_775,plain,
( epred8_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_774]),c_0_52]) ).
cnf(c_0_776,plain,
( epred7_0
| epred1_0
| op(e1,e0) != op(e0,e1)
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(spm,[status(thm)],[c_0_373,c_0_775]) ).
cnf(c_0_777,plain,
( op(e1,e0) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_710]) ).
cnf(c_0_778,plain,
( epred7_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_777]),c_0_736]) ).
fof(c_0_779,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_690]) ).
cnf(c_0_780,plain,
( epred7_0
| epred1_0
| op(e4,e0) != op(e0,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_778,c_0_725]),c_0_729]) ).
fof(c_0_781,plain,
( ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_779])])]) ).
cnf(c_0_782,plain,
( epred7_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_711]),c_0_713]) ).
cnf(c_0_783,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_784,plain,
( epred1_0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_397,c_0_782]) ).
cnf(c_0_785,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_786,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[c_0_783,c_0_316]) ).
cnf(c_0_787,plain,
( epred1_0
| op(e2,e0) != op(e0,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_777]),c_0_736]) ).
cnf(c_0_788,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_785,c_0_316]),c_0_786]) ).
cnf(c_0_789,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_749]),c_0_715]) ).
cnf(c_0_790,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_788,c_0_789])]) ).
cnf(c_0_791,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_792,plain,
( op(e2,e2) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_421,c_0_790]) ).
cnf(c_0_793,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_794,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[c_0_791,c_0_316]) ).
cnf(c_0_795,plain,
( unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_792]),c_0_358]) ).
cnf(c_0_796,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_793,c_0_316]),c_0_794]) ).
cnf(c_0_797,plain,
unit = e0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_795]),c_0_90]) ).
cnf(c_0_798,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_796,c_0_789])]) ).
cnf(c_0_799,plain,
op(e0,e0) = e0,
inference(rw,[status(thm)],[c_0_251,c_0_797]) ).
cnf(c_0_800,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_798,c_0_799]),c_0_358]),c_0_799]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.15/0.34 % Computer : n017.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 13:29:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.l8YFBe92x8/E---3.1_8320.p
% 19.59/3.02 # Version: 3.1.0
% 19.59/3.02 # Preprocessing class: FSLSSMSSSSSNFFN.
% 19.59/3.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.59/3.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.59/3.02 # Starting new_bool_3 with 300s (1) cores
% 19.59/3.02 # Starting new_bool_1 with 300s (1) cores
% 19.59/3.02 # Starting sh5l with 300s (1) cores
% 19.59/3.02 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8457 completed with status 0
% 19.59/3.02 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 19.59/3.02 # Preprocessing class: FSLSSMSSSSSNFFN.
% 19.59/3.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.59/3.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.59/3.02 # No SInE strategy applied
% 19.59/3.02 # Search class: FGHSF-FSLM22-MFFFFFNN
% 19.59/3.02 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 19.59/3.02 # Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 19.59/3.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 19.59/3.02 # Starting new_bool_3 with 136s (1) cores
% 19.59/3.02 # Starting new_bool_1 with 136s (1) cores
% 19.59/3.02 # Starting G-E--_042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 19.59/3.02 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8467 completed with status 0
% 19.59/3.02 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 19.59/3.02 # Preprocessing class: FSLSSMSSSSSNFFN.
% 19.59/3.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.59/3.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.59/3.02 # No SInE strategy applied
% 19.59/3.02 # Search class: FGHSF-FSLM22-MFFFFFNN
% 19.59/3.02 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 19.59/3.02 # Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 19.59/3.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 19.59/3.02 # Preprocessing time : 0.008 s
% 19.59/3.02 # Presaturation interreduction done
% 19.59/3.02
% 19.59/3.02 # Proof found!
% 19.59/3.02 # SZS status Theorem
% 19.59/3.02 # SZS output start CNFRefutation
% See solution above
% 20.13/3.02 # Parsed axioms : 7
% 20.13/3.02 # Removed by relevancy pruning/SinE : 0
% 20.13/3.02 # Initial clauses : 707
% 20.13/3.02 # Removed in clause preprocessing : 0
% 20.13/3.02 # Initial clauses in saturation : 707
% 20.13/3.02 # Processed clauses : 16429
% 20.13/3.02 # ...of these trivial : 57
% 20.13/3.02 # ...subsumed : 12354
% 20.13/3.02 # ...remaining for further processing : 4018
% 20.13/3.02 # Other redundant clauses eliminated : 0
% 20.13/3.02 # Clauses deleted for lack of memory : 0
% 20.13/3.02 # Backward-subsumed : 1874
% 20.13/3.02 # Backward-rewritten : 1460
% 20.13/3.02 # Generated clauses : 81854
% 20.13/3.02 # ...of the previous two non-redundant : 81567
% 20.13/3.02 # ...aggressively subsumed : 0
% 20.13/3.02 # Contextual simplify-reflections : 397
% 20.13/3.02 # Paramodulations : 81204
% 20.13/3.02 # Factorizations : 483
% 20.13/3.02 # NegExts : 0
% 20.13/3.02 # Equation resolutions : 0
% 20.13/3.02 # Disequality decompositions : 0
% 20.13/3.02 # Total rewrite steps : 2812
% 20.13/3.02 # ...of those cached : 2790
% 20.13/3.02 # Propositional unsat checks : 0
% 20.13/3.02 # Propositional check models : 0
% 20.13/3.02 # Propositional check unsatisfiable : 0
% 20.13/3.02 # Propositional clauses : 0
% 20.13/3.02 # Propositional clauses after purity: 0
% 20.13/3.02 # Propositional unsat core size : 0
% 20.13/3.02 # Propositional preprocessing time : 0.000
% 20.13/3.02 # Propositional encoding time : 0.000
% 20.13/3.02 # Propositional solver time : 0.000
% 20.13/3.02 # Success case prop preproc time : 0.000
% 20.13/3.02 # Success case prop encoding time : 0.000
% 20.13/3.02 # Success case prop solver time : 0.000
% 20.13/3.02 # Current number of processed clauses : 189
% 20.13/3.02 # Positive orientable unit clauses : 22
% 20.13/3.02 # Positive unorientable unit clauses: 0
% 20.13/3.02 # Negative unit clauses : 60
% 20.13/3.02 # Non-unit-clauses : 107
% 20.13/3.02 # Current number of unprocessed clauses: 52562
% 20.13/3.02 # ...number of literals in the above : 518187
% 20.13/3.02 # Current number of archived formulas : 0
% 20.13/3.02 # Current number of archived clauses : 3829
% 20.13/3.02 # Clause-clause subsumption calls (NU) : 224484
% 20.13/3.02 # Rec. Clause-clause subsumption calls : 14114
% 20.13/3.02 # Non-unit clause-clause subsumptions : 5613
% 20.13/3.02 # Unit Clause-clause subsumption calls : 3003
% 20.13/3.02 # Rewrite failures with RHS unbound : 0
% 20.13/3.02 # BW rewrite match attempts : 18
% 20.13/3.02 # BW rewrite match successes : 18
% 20.13/3.02 # Condensation attempts : 0
% 20.13/3.02 # Condensation successes : 0
% 20.13/3.02 # Termbank termtop insertions : 1529621
% 20.13/3.02 # Search garbage collected termcells : 3798
% 20.13/3.02
% 20.13/3.02 # -------------------------------------------------
% 20.13/3.02 # User time : 2.415 s
% 20.13/3.02 # System time : 0.050 s
% 20.13/3.02 # Total time : 2.465 s
% 20.13/3.02 # Maximum resident set size: 3032 pages
% 20.13/3.02
% 20.13/3.02 # -------------------------------------------------
% 20.13/3.02 # User time : 12.134 s
% 20.13/3.02 # System time : 0.207 s
% 20.13/3.02 # Total time : 12.341 s
% 20.13/3.02 # Maximum resident set size: 1876 pages
% 20.13/3.02 % E---3.1 exiting
%------------------------------------------------------------------------------