%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG133+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:52:44 AM UTC 2026
% Result : Unsatisfiable 16.40s 9.72s
% Output : CNFRefutation 16.40s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) )
& ( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) )
& ( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) )
& ( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax20,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(ax2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax18,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(ax14,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(ax12,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(ax6,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax8,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(ax13,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(ax16,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(ax26,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(ax24,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(ax10,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(ax7,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(ax25,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(ax28,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax19,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(ax22,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(ax11,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(ax9,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(ax27,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(ax21,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax23,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(ax29,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(ax15,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(ax17,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(c_0_29,plain,
( epred7_0
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
fof(c_0_30,plain,
( ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e3,e3) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e2) = e3
& op(e3,e3) = e2 )
| epred7_0 )
& ( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) )
& ( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) )
& ( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) )
& ( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax5]),c_0_29]) ).
fof(c_0_31,plain,
( ( epred7_0
| op(e2,e3) != e3
| op(e3,e3) != e3 )
& ( epred7_0
| op(e2,e3) != e3
| op(e3,e2) != e2 )
& ( epred7_0
| op(e2,e3) != e3
| op(e3,e1) != e1 )
& ( epred7_0
| op(e2,e3) != e3
| op(e3,e0) != e0 )
& ( epred7_0
| op(e2,e3) != e3
| op(e3,e3) = e3 )
& ( epred7_0
| op(e2,e2) != e2
| op(e3,e3) != e3 )
& ( epred7_0
| op(e2,e2) != e2
| op(e3,e2) != e2 )
& ( epred7_0
| op(e2,e2) != e2
| op(e3,e1) != e1 )
& ( epred7_0
| op(e2,e2) != e2
| op(e3,e0) != e0 )
& ( epred7_0
| op(e2,e2) != e2
| op(e3,e3) = e3 )
& ( epred7_0
| op(e2,e1) != e1
| op(e3,e3) != e3 )
& ( epred7_0
| op(e2,e1) != e1
| op(e3,e2) != e2 )
& ( epred7_0
| op(e2,e1) != e1
| op(e3,e1) != e1 )
& ( epred7_0
| op(e2,e1) != e1
| op(e3,e0) != e0 )
& ( epred7_0
| op(e2,e1) != e1
| op(e3,e3) = e3 )
& ( epred7_0
| op(e2,e0) != e0
| op(e3,e3) != e3 )
& ( epred7_0
| op(e2,e0) != e0
| op(e3,e2) != e2 )
& ( epred7_0
| op(e2,e0) != e0
| op(e3,e1) != e1 )
& ( epred7_0
| op(e2,e0) != e0
| op(e3,e0) != e0 )
& ( epred7_0
| op(e2,e0) != e0
| op(e3,e3) = e3 )
& ( epred7_0
| op(e3,e2) = e3
| op(e3,e3) != e3 )
& ( epred7_0
| op(e3,e2) = e3
| op(e3,e2) != e2 )
& ( epred7_0
| op(e3,e2) = e3
| op(e3,e1) != e1 )
& ( epred7_0
| op(e3,e2) = e3
| op(e3,e0) != e0 )
& ( epred7_0
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( epred7_0
| op(e3,e3) = e2
| op(e3,e3) != e3 )
& ( epred7_0
| op(e3,e3) = e2
| op(e3,e2) != e2 )
& ( epred7_0
| op(e3,e3) = e2
| op(e3,e1) != e1 )
& ( epred7_0
| op(e3,e3) = e2
| op(e3,e0) != e0 )
& ( epred7_0
| op(e3,e3) = e2
| op(e3,e3) = e3 )
& ( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) )
& ( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) )
& ( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) )
& ( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_32,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_simplification,[status(thm)],[ax3]) ).
fof(c_0_33,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_34,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])]) ).
cnf(c_0_35,plain,
( op(e3,e3) != e3
| epred7_0
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
( epred7_0
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( op(e3,e3) != e3
| epred7_0
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( epred7_0
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( epred7_0
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( epred7_0
| op(e3,e2) = e3 ),
inference(csr,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( op(e2,e2) != e2
| op(e3,e3) != e3
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_46,plain,
( op(e2,e2) != e2
| epred7_0
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,plain,
( op(e2,e0) != e0
| op(e3,e3) != e3
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_48,plain,
( op(e2,e0) != e0
| epred7_0
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_50,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_51,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,plain,
( op(e2,e3) != e0
| op(e2,e2) != e1
| epred7_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_53,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_54,plain,
( op(e2,e2) != e3
| epred7_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_55,plain,
( op(e2,e2) != e2
| epred7_0 ),
inference(csr,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_58,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,plain,
( op(e2,e3) != e3
| op(e3,e3) != e3
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_60,plain,
( op(e2,e3) != e3
| epred7_0
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_61,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])]) ).
cnf(c_0_62,plain,
( op(e2,e0) != e0
| epred7_0 ),
inference(csr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_63,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e0) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_64,plain,
( op(e2,e3) != e0
| epred7_0
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_65,plain,
( op(e2,e3) != e2
| epred7_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_42]) ).
cnf(c_0_66,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_57]),c_0_58]) ).
cnf(c_0_67,plain,
( op(e2,e3) != e3
| epred7_0 ),
inference(csr,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
( epred7_0
| op(e2,e0) = e2
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_55]),c_0_65]) ).
cnf(c_0_70,plain,
( epred7_0
| op(e2,e0) = e3
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_64]),c_0_54]),c_0_67]) ).
cnf(c_0_71,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_72,plain,
( epred6_0
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_73,plain,
( op(e2,e3) != e1
| op(e2,e2) != e0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_42]) ).
cnf(c_0_74,plain,
( epred7_0
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
fof(c_0_75,plain,
( epred7_0
=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| epred6_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_29]),c_0_72]) ).
cnf(c_0_76,plain,
( op(e2,e3) != e1
| epred7_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
fof(c_0_78,plain,
( ( ~ epred7_0
| epred6_0
| op(e0,e3) != e3
| op(e1,e3) != e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e3) != e3
| op(e1,e2) != e2 )
& ( ~ epred7_0
| epred6_0
| op(e0,e3) != e3
| op(e1,e1) != e1 )
& ( ~ epred7_0
| epred6_0
| op(e0,e3) != e3
| op(e1,e0) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e0,e3) != e3
| op(e3,e1) = e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e3) != e3
| op(e3,e3) = e1 )
& ( ~ epred7_0
| epred6_0
| op(e0,e2) != e2
| op(e1,e3) != e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e2) != e2
| op(e1,e2) != e2 )
& ( ~ epred7_0
| epred6_0
| op(e0,e2) != e2
| op(e1,e1) != e1 )
& ( ~ epred7_0
| epred6_0
| op(e0,e2) != e2
| op(e1,e0) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e0,e2) != e2
| op(e3,e1) = e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e2) != e2
| op(e3,e3) = e1 )
& ( ~ epred7_0
| epred6_0
| op(e0,e1) != e1
| op(e1,e3) != e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e1) != e1
| op(e1,e2) != e2 )
& ( ~ epred7_0
| epred6_0
| op(e0,e1) != e1
| op(e1,e1) != e1 )
& ( ~ epred7_0
| epred6_0
| op(e0,e1) != e1
| op(e1,e0) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e0,e1) != e1
| op(e3,e1) = e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e1) != e1
| op(e3,e3) = e1 )
& ( ~ epred7_0
| epred6_0
| op(e0,e0) != e0
| op(e1,e3) != e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e0) != e0
| op(e1,e2) != e2 )
& ( ~ epred7_0
| epred6_0
| op(e0,e0) != e0
| op(e1,e1) != e1 )
& ( ~ epred7_0
| epred6_0
| op(e0,e0) != e0
| op(e1,e0) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e0,e0) != e0
| op(e3,e1) = e3 )
& ( ~ epred7_0
| epred6_0
| op(e0,e0) != e0
| op(e3,e3) = e1 )
& ( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e1,e3) != e3 )
& ( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e1,e2) != e2 )
& ( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e1,e1) != e1 )
& ( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e1,e0) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e3,e1) = e3 )
& ( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e3,e3) = e1 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e1,e3) != e3 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e1,e2) != e2 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e1,e1) != e1 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e1,e0) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e3,e1) = e3 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e3,e3) = e1 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).
cnf(c_0_79,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_80,plain,
( epred7_0
| op(e2,e3) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_67]),c_0_65]) ).
cnf(c_0_81,plain,
( ~ epred7_0
| op(e1,e1) != e1
| epred6_0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_82,plain,
epred7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_74]) ).
fof(c_0_83,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])]) ).
cnf(c_0_84,plain,
( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,plain,
( op(e1,e1) != e1
| epred6_0
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_86,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_87,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,plain,
( epred6_0
| op(e3,e3) = e0
| op(e3,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_82])]) ).
cnf(c_0_89,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_90,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_91,plain,
( ~ epred7_0
| op(e1,e3) != e3
| epred6_0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_92,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).
cnf(c_0_93,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_94,plain,
( epred6_0
| op(e3,e3) = e0
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,plain,
( op(e1,e3) != e0
| op(e1,e1) != e2
| epred6_0
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,plain,
( op(e3,e3) != e1
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,plain,
( op(e1,e3) != e3
| epred6_0
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_82])]) ).
cnf(c_0_98,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_99,plain,
( op(e1,e3) != e0
| epred6_0
| op(e1,e1) = e3
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_100,plain,
( epred6_0
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_88]),c_0_97]) ).
cnf(c_0_101,plain,
( ~ epred7_0
| epred6_0
| op(e3,e3) = e0
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_102,plain,
( op(e1,e3) != e2
| op(e1,e1) != e0
| epred6_0
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_98,c_0_88]) ).
cnf(c_0_103,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_104,plain,
( epred6_0
| op(e3,e3) = e0
| op(e1,e1) = e3
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
( epred6_0
| op(e3,e1) = e3
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_82])]) ).
cnf(c_0_106,plain,
( op(e1,e3) != e2
| epred6_0
| op(e3,e3) = e0
| op(e1,e1) = e3
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_102,c_0_94]) ).
cnf(c_0_107,plain,
( epred6_0
| op(e1,e3) = e2
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_108,plain,
( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_109,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_110,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_111,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_112,plain,
( epred6_0
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_113,plain,
( epred6_0
| op(e3,e0) = e3
| op(e3,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_82])]) ).
cnf(c_0_114,plain,
( op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e0) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_115,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_116,plain,
( epred6_0
| op(e3,e3) = e0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_112]),c_0_105]) ).
cnf(c_0_117,plain,
( epred6_0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_118,plain,
( epred6_0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_116]),c_0_107]) ).
cnf(c_0_119,plain,
( epred6_0
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_117]),c_0_71]) ).
cnf(c_0_120,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_121,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_122,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_123,plain,
( epred6_0
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_124,plain,
( op(e3,e2) != e1
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,plain,
( epred6_0
| op(e3,e2) = e1
| op(e3,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_123]),c_0_51]) ).
cnf(c_0_126,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_127,plain,
( epred6_0
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_129,plain,
( epred6_0
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_118]) ).
fof(c_0_130,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).
cnf(c_0_131,plain,
( ~ epred7_0
| op(e0,e1) != e1
| epred6_0
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_132,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])]) ).
cnf(c_0_133,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_134,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_135,plain,
( op(e3,e0) != e3
| epred6_0
| op(e3,e1) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_136,plain,
( ~ epred7_0
| op(e0,e2) != e2
| epred6_0
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_137,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_138,plain,
( op(e0,e1) != e1
| epred6_0
| op(e3,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_82])]) ).
cnf(c_0_139,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_140,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_141,plain,
( op(e3,e1) != e2
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_142,plain,
( epred6_0
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_135,c_0_113]) ).
cnf(c_0_143,plain,
( op(e0,e2) != e2
| epred6_0
| op(e3,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_82])]) ).
cnf(c_0_144,plain,
( op(e0,e3) != e2
| op(e0,e0) != e1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_137,c_0_118]) ).
cnf(c_0_145,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_147,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_148,plain,
( op(e0,e3) != e1
| op(e0,e0) != e2
| epred6_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_118]) ).
cnf(c_0_149,plain,
( epred6_0
| op(e0,e3) = e2
| op(e0,e0) = e2
| op(e3,e3) = e1
| op(e3,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_150,plain,
( op(e0,e3) != e2
| epred6_0
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_151,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_152,plain,
( op(e3,e2) != e1
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_153,plain,
( op(e0,e3) != e1
| epred6_0
| op(e3,e2) = e2
| op(e3,e3) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,plain,
( epred6_0
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e3,e3) = e1
| op(e3,e2) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_149]),c_0_111]),c_0_150]) ).
cnf(c_0_155,plain,
( op(e2,e1) != e1
| op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_151,c_0_109]) ).
cnf(c_0_156,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_157,plain,
( epred6_0
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_152,c_0_125]) ).
cnf(c_0_158,plain,
( epred6_0
| op(e3,e3) = e1
| op(e3,e2) = e2
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_111]) ).
cnf(c_0_159,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_160,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_161,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_162,plain,
( epred6_0
| op(e3,e2) = e2
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_120]),c_0_111]),c_0_115]) ).
cnf(c_0_163,plain,
( epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_159]),c_0_115]) ).
cnf(c_0_164,plain,
( op(e0,e2) != e1
| op(e0,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_165,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_166,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_167,plain,
( epred6_0
| op(e3,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_162]),c_0_120]) ).
cnf(c_0_168,plain,
( epred6_0
| op(e3,e2) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_163]),c_0_120]) ).
cnf(c_0_169,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_170,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_164,c_0_147]) ).
cnf(c_0_171,plain,
( ~ epred7_0
| op(e0,e0) != e0
| epred6_0
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_172,plain,
( op(e2,e0) != e1
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_173,plain,
( epred6_0
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_111]) ).
cnf(c_0_174,plain,
( ~ epred7_0
| op(e0,e3) != e3
| epred6_0
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_175,plain,
( op(e3,e3) != e0
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_176,plain,
( op(e0,e0) != e0
| epred6_0
| op(e3,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_82])]) ).
cnf(c_0_177,plain,
( epred6_0
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_178,plain,
( op(e0,e3) != e3
| epred6_0
| op(e3,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_82])]) ).
cnf(c_0_179,plain,
( epred6_0
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_175,c_0_118]) ).
cnf(c_0_180,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_181,plain,
( epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_182,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e2) = e3
| op(e0,e2) = e0
| op(e0,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_143]) ).
cnf(c_0_183,plain,
( epred6_0
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_113]) ).
cnf(c_0_184,plain,
( op(e2,e0) != e1
| epred6_0
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_165,c_0_145]) ).
cnf(c_0_185,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_186,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_187,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_182]),c_0_111]) ).
cnf(c_0_188,plain,
( op(e0,e3) != e1
| epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_148,c_0_183]) ).
cnf(c_0_189,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_184,c_0_173]) ).
cnf(c_0_190,plain,
( op(e0,e3) != e2
| epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_185,c_0_183]) ).
cnf(c_0_191,plain,
( op(e2,e2) != e1
| epred6_0
| op(e0,e2) = e3
| op(e0,e2) = e0
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_192,plain,
( epred6_0
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_193,plain,
( epred6_0
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e0,e2) = e0
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_182]),c_0_191]) ).
cnf(c_0_194,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_195,plain,
( epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_120]) ).
cnf(c_0_196,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_197,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_198,plain,
( ~ epred7_0
| epred6_0
| op(e3,e0) = e3
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_199,plain,
( op(e2,e3) != e1
| op(e0,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_194,c_0_161]) ).
cnf(c_0_200,plain,
( epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_195]),c_0_115]) ).
cnf(c_0_201,plain,
( op(e2,e1) != e3
| op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_202,plain,
( epred6_0
| op(e3,e0) = e3
| op(e3,e1) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_82])]) ).
cnf(c_0_203,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e2,e3) = e0
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_199,c_0_77]) ).
cnf(c_0_204,plain,
( epred6_0
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_200]),c_0_120]) ).
cnf(c_0_205,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3
| op(e2,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_201,c_0_57]) ).
cnf(c_0_206,plain,
( op(e2,e1) != e3
| epred6_0
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_151,c_0_202]) ).
cnf(c_0_207,plain,
( op(e3,e3) != e0
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_169,c_0_203]) ).
cnf(c_0_208,plain,
( op(e2,e3) != e0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_118]) ).
cnf(c_0_209,plain,
( epred6_0
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_199,c_0_204]) ).
cnf(c_0_210,plain,
( op(e3,e0) != e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_180,c_0_205]) ).
cnf(c_0_211,plain,
( epred6_0
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_206,c_0_57]) ).
cnf(c_0_212,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_213,plain,
( epred6_0
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_118]),c_0_208]) ).
cnf(c_0_214,plain,
( epred6_0
| op(e2,e2) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_209]),c_0_118]) ).
cnf(c_0_215,plain,
( epred6_0
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e2,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_216,plain,
( op(e2,e0) != e3
| epred6_0
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_212,c_0_113]) ).
cnf(c_0_217,plain,
( epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_178,c_0_213]) ).
cnf(c_0_218,plain,
( ~ epred7_0
| op(e1,e1) != e1
| epred6_0
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_219,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_220,plain,
( ~ epred7_0
| op(e1,e3) != e3
| epred6_0
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_221,plain,
( op(e0,e3) != e2
| epred6_0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_144,c_0_166]) ).
cnf(c_0_222,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e3) = e2
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_178,c_0_214]) ).
cnf(c_0_223,plain,
( epred6_0
| op(e3,e3) = e1
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_215]),c_0_216]) ).
cnf(c_0_224,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e2) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_217]),c_0_111]) ).
cnf(c_0_225,plain,
( op(e1,e1) != e1
| epred6_0
| op(e3,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_82])]) ).
cnf(c_0_226,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_227,plain,
( op(e3,e1) != e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_103,c_0_219]) ).
cnf(c_0_228,plain,
( op(e1,e3) != e3
| epred6_0
| op(e3,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_82])]) ).
cnf(c_0_229,plain,
( epred6_0
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_176]) ).
cnf(c_0_230,plain,
( epred6_0
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_115]) ).
cnf(c_0_231,plain,
( epred6_0
| op(e3,e0) = e3
| op(e1,e0) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_232,plain,
( epred6_0
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e3,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_202]),c_0_228]) ).
cnf(c_0_233,plain,
( epred6_0
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_229]),c_0_113]) ).
fof(c_0_234,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])]) ).
cnf(c_0_235,plain,
( epred6_0
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_230]),c_0_120]) ).
cnf(c_0_236,plain,
( epred6_0
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e3,e0) = e3
| op(e1,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_115]) ).
cnf(c_0_237,plain,
( epred6_0
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_233]),c_0_222]) ).
fof(c_0_238,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])]) ).
cnf(c_0_239,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_240,plain,
( epred6_0
| op(e2,e2) = e3
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_204]),c_0_115]),c_0_111]) ).
cnf(c_0_241,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_242,plain,
( epred6_0
| op(e1,e2) = e3
| op(e3,e0) = e3
| op(e1,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_236]),c_0_113]) ).
cnf(c_0_243,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_244,plain,
( epred6_0
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_237]),c_0_120]) ).
cnf(c_0_245,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_246,plain,
( op(e1,e2) != e3
| op(e1,e1) != e0
| epred6_0
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_247,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_248,plain,
( op(e2,e2) != e1
| epred6_0
| op(e3,e0) = e3
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_249,plain,
( ~ epred7_0
| op(e1,e0) != e0
| epred6_0
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_250,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_251,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_252,plain,
( op(e2,e2) != e1
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_241,c_0_243]) ).
cnf(c_0_253,plain,
( op(e1,e2) != e3
| op(e1,e1) != e0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_244]) ).
cnf(c_0_254,plain,
( op(e1,e2) != e0
| op(e1,e1) != e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_244]) ).
cnf(c_0_255,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_256,plain,
( op(e1,e2) != e3
| epred6_0
| op(e2,e2) = e3
| op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_257,plain,
( epred6_0
| op(e1,e2) = e3
| op(e3,e0) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_248,c_0_240]) ).
cnf(c_0_258,plain,
( op(e1,e0) != e0
| epred6_0
| op(e3,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_82])]) ).
cnf(c_0_259,plain,
( op(e1,e2) != e0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_260,plain,
( epred6_0
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_252,c_0_244]) ).
cnf(c_0_261,plain,
( op(e1,e2) != e3
| epred6_0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_253,c_0_251]) ).
cnf(c_0_262,plain,
( op(e1,e2) != e0
| epred6_0
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_263,plain,
( op(e1,e2) != e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_250,c_0_255]) ).
cnf(c_0_264,plain,
( epred6_0
| op(e1,e3) = e0
| op(e2,e2) = e3
| op(e3,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_58]),c_0_258]) ).
cnf(c_0_265,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_266,plain,
( epred6_0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261]) ).
cnf(c_0_267,plain,
( epred6_0
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e1,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_260]),c_0_263]) ).
cnf(c_0_268,plain,
( op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_197]),c_0_71]) ).
cnf(c_0_269,plain,
( epred6_0
| op(e1,e2) = e3
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_248,c_0_244]) ).
cnf(c_0_270,plain,
( epred6_0
| op(e3,e0) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_264]),c_0_118]) ).
cnf(c_0_271,plain,
( epred6_0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_167]) ).
cnf(c_0_272,plain,
( epred6_0
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_267]),c_0_167]) ).
cnf(c_0_273,plain,
( op(e3,e0) != e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_180,c_0_268]) ).
cnf(c_0_274,plain,
( epred6_0
| op(e3,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_269]),c_0_270]) ).
cnf(c_0_275,plain,
( epred6_0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e3
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_58]) ).
cnf(c_0_276,plain,
( epred6_0
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_277,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_278,plain,
( epred6_0
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_275]),c_0_118]) ).
cnf(c_0_279,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_280,plain,
( op(e0,e3) != e1
| epred6_0
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e3) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_148,c_0_276]) ).
cnf(c_0_281,plain,
( op(e2,e2) != e1
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_186,c_0_147]) ).
cnf(c_0_282,plain,
( ~ epred7_0
| op(e0,e0) != e0
| op(e1,e3) != e3
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_283,plain,
( op(e2,e1) != e0
| op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_196,c_0_277]) ).
cnf(c_0_284,plain,
( epred6_0
| op(e2,e1) = e0
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_278]),c_0_274]) ).
cnf(c_0_285,plain,
( op(e1,e2) != e0
| epred6_0
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_254,c_0_219]) ).
cnf(c_0_286,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_287,plain,
( op(e3,e2) != e0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_118]) ).
cnf(c_0_288,plain,
( epred6_0
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_161]),c_0_111]),c_0_115]) ).
cnf(c_0_289,plain,
( epred6_0
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_281,c_0_244]) ).
cnf(c_0_290,plain,
( op(e1,e3) != e3
| op(e0,e0) != e0
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_82])]) ).
cnf(c_0_291,plain,
( epred6_0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_292,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_293,plain,
( epred6_0
| op(e1,e3) = e3
| op(e1,e0) = e3
| op(e0,e2) = e0
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_58]),c_0_287]) ).
cnf(c_0_294,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_295,plain,
( epred6_0
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_288]),c_0_289]) ).
cnf(c_0_296,plain,
( op(e1,e3) != e3
| epred6_0
| op(e2,e1) = e3
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_297,plain,
( epred6_0
| op(e2,e2) = e0
| op(e0,e2) = e0
| op(e1,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_274]) ).
cnf(c_0_298,plain,
( op(e2,e2) != e0
| epred6_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_294,c_0_284]) ).
cnf(c_0_299,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e2) = e3
| op(e0,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_295]),c_0_143]) ).
cnf(c_0_300,plain,
( epred6_0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]) ).
cnf(c_0_301,plain,
( epred6_0
| op(e3,e3) = e1
| op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_299]),c_0_111]) ).
cnf(c_0_302,plain,
( epred6_0
| op(e2,e1) = e3
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_300]),c_0_118]) ).
cnf(c_0_303,plain,
( epred6_0
| op(e0,e2) = e3
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_301]),c_0_120]),c_0_111]),c_0_115]) ).
cnf(c_0_304,plain,
( epred6_0
| op(e2,e1) = e3
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_58]) ).
cnf(c_0_305,plain,
( epred6_0
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_304]),c_0_120]) ).
cnf(c_0_306,plain,
( ~ epred7_0
| op(e0,e3) != e3
| op(e1,e0) != e0
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_307,plain,
( epred6_0
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_201,c_0_305]) ).
cnf(c_0_308,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_309,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_310,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_311,plain,
( op(e1,e0) != e0
| op(e0,e3) != e3
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_82])]) ).
cnf(c_0_312,plain,
( epred6_0
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_307]),c_0_274]) ).
cnf(c_0_313,plain,
( op(e1,e2) != e3
| epred6_0
| op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_253,c_0_247]) ).
cnf(c_0_314,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_315,plain,
( op(e3,e2) != e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_274]) ).
cnf(c_0_316,plain,
( op(e1,e2) != e0
| op(e0,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_317,plain,
( op(e1,e0) != e0
| epred6_0
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_318,plain,
( epred6_0
| op(e1,e3) = e0
| op(e1,e0) = e0
| op(e0,e2) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_58]),c_0_315]) ).
cnf(c_0_319,plain,
( op(e2,e2) != e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_305]) ).
cnf(c_0_320,plain,
( ~ epred7_0
| op(e0,e1) != e1
| op(e1,e3) != e3
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_321,plain,
( ~ epred7_0
| op(e0,e1) != e1
| op(e1,e2) != e2
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_322,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_323,plain,
( epred6_0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e0,e0) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_316,c_0_260]) ).
cnf(c_0_324,plain,
( epred6_0
| op(e0,e2) = e3
| op(e1,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).
cnf(c_0_325,plain,
( op(e1,e3) != e3
| op(e0,e1) != e1
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_82])]) ).
cnf(c_0_326,plain,
( epred6_0
| op(e1,e3) = e3
| op(e1,e0) = e3
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_260]),c_0_58]) ).
cnf(c_0_327,plain,
( op(e1,e2) != e2
| op(e0,e1) != e1
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_82])]) ).
cnf(c_0_328,plain,
( op(e0,e2) != e3
| epred6_0
| op(e1,e2) = e2
| op(e0,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_329,plain,
( epred6_0
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_324]),c_0_118]) ).
cnf(c_0_330,plain,
( op(e1,e3) != e3
| epred6_0
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_325,c_0_139]) ).
cnf(c_0_331,plain,
( epred6_0
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_326]),c_0_274]) ).
cnf(c_0_332,plain,
( op(e1,e2) != e2
| epred6_0
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_327,c_0_139]) ).
cnf(c_0_333,plain,
( epred6_0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e0,e0) = e0
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_334,plain,
( epred6_0
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e1,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332]) ).
cnf(c_0_335,plain,
( epred6_0
| op(e0,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_333]),c_0_167]) ).
cnf(c_0_336,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_337,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_338,plain,
( op(e0,e2) != e3
| epred6_0
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_322,c_0_334]) ).
cnf(c_0_339,plain,
( epred6_0
| op(e3,e3) = e1
| op(e3,e0) = e0
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_176,c_0_335]) ).
cnf(c_0_340,plain,
( op(e0,e0) != e1
| op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_341,plain,
( epred6_0
| op(e0,e3) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_329]),c_0_115]) ).
cnf(c_0_342,plain,
( epred6_0
| op(e2,e0) = e0
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_339]),c_0_58]) ).
cnf(c_0_343,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_344,plain,
( epred6_0
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_345,plain,
( epred6_0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_342]),c_0_120]) ).
cnf(c_0_346,plain,
( epred6_0
| op(e0,e3) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345]) ).
cnf(c_0_347,plain,
( epred6_0
| op(e1,e0) = e2
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_346]),c_0_274]) ).
cnf(c_0_348,plain,
( op(e0,e0) != e2
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_347]),c_0_148]) ).
fof(c_0_349,plain,
( epred5_0
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_350,plain,
( op(e0,e3) != e2
| epred6_0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_341]) ).
cnf(c_0_351,plain,
( epred6_0
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e3,e1) = e0
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_271]),c_0_51]),c_0_348]) ).
fof(c_0_352,plain,
( epred6_0
=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2 )
| epred5_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_72]),c_0_349]) ).
cnf(c_0_353,plain,
( epred6_0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_111]) ).
fof(c_0_354,plain,
( ( ~ epred6_0
| epred5_0
| op(e2,e3) != e3
| op(e3,e3) != e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e3) != e3
| op(e3,e2) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e3) != e3
| op(e3,e1) != e1 )
& ( ~ epred6_0
| epred5_0
| op(e2,e3) != e3
| op(e3,e0) != e0 )
& ( ~ epred6_0
| epred5_0
| op(e2,e3) != e3
| op(e2,e3) = e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e3) != e3
| op(e2,e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) != e2
| op(e3,e3) != e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) != e2
| op(e3,e2) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) != e2
| op(e3,e1) != e1 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) != e2
| op(e3,e0) != e0 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) != e2
| op(e2,e3) = e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) != e2
| op(e2,e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e1) != e1
| op(e3,e3) != e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e1) != e1
| op(e3,e2) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e1) != e1
| op(e3,e1) != e1 )
& ( ~ epred6_0
| epred5_0
| op(e2,e1) != e1
| op(e3,e0) != e0 )
& ( ~ epred6_0
| epred5_0
| op(e2,e1) != e1
| op(e2,e3) = e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e1) != e1
| op(e2,e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e0) != e0
| op(e3,e3) != e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e0) != e0
| op(e3,e2) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e0) != e0
| op(e3,e1) != e1 )
& ( ~ epred6_0
| epred5_0
| op(e2,e0) != e0
| op(e3,e0) != e0 )
& ( ~ epred6_0
| epred5_0
| op(e2,e0) != e0
| op(e2,e3) = e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e0) != e0
| op(e2,e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e3,e3) != e3 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e3,e2) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e3,e1) != e1 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e3,e0) != e0 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e2,e2) = e3 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_352])])]) ).
cnf(c_0_355,plain,
( epred6_0
| op(e3,e1) = e0
| op(e2,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_353]),c_0_71]) ).
cnf(c_0_356,plain,
( ~ epred6_0
| op(e2,e2) != e2
| epred5_0
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_357,plain,
( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_358,plain,
( epred6_0
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_355]),c_0_118]) ).
fof(c_0_359,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])]) ).
cnf(c_0_360,plain,
( ~ epred6_0
| epred5_0
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_361,plain,
epred6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_358]),c_0_58]) ).
cnf(c_0_362,plain,
( ~ epred6_0
| op(e3,e3) != e3
| epred5_0
| op(e2,e2) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_363,plain,
( ~ epred6_0
| op(e2,e2) != e2
| op(e3,e3) != e3
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_364,plain,
( ~ epred6_0
| op(e3,e0) != e0
| epred5_0
| op(e2,e2) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_365,plain,
( ~ epred6_0
| op(e2,e2) != e2
| op(e3,e0) != e0
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_366,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_359]) ).
cnf(c_0_367,plain,
( epred5_0
| op(e2,e2) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_361])]) ).
cnf(c_0_368,plain,
( ~ epred6_0
| op(e3,e3) != e3
| epred5_0 ),
inference(csr,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_369,plain,
( ~ epred6_0
| op(e3,e2) != e2
| epred5_0
| op(e2,e2) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_370,plain,
( ~ epred6_0
| op(e2,e2) != e2
| op(e3,e2) != e2
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_371,plain,
( ~ epred6_0
| op(e3,e0) != e0
| epred5_0 ),
inference(csr,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_372,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_373,plain,
( op(e3,e2) != e0
| op(e3,e3) != e1
| epred5_0 ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_374,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_375,plain,
( op(e3,e3) != e3
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_361])]) ).
cnf(c_0_376,plain,
( ~ epred6_0
| op(e3,e2) != e2
| epred5_0 ),
inference(csr,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_377,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_378,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
cnf(c_0_379,plain,
( op(e3,e0) != e0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_361])]) ).
cnf(c_0_380,plain,
( op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e0) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_110]),c_0_51]) ).
cnf(c_0_381,plain,
( op(e3,e2) != e0
| epred5_0
| op(e3,e3) = e0
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_375]) ).
cnf(c_0_382,plain,
( op(e3,e2) != e2
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_361])]) ).
cnf(c_0_383,plain,
( op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e0) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_377]),c_0_58]) ).
cnf(c_0_384,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_385,plain,
( epred5_0
| op(e3,e3) = e2
| op(e3,e0) = e2
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_381]),c_0_382]) ).
cnf(c_0_386,plain,
( epred5_0
| op(e3,e2) = e3
| op(e3,e0) = e3
| op(e3,e3) = e0
| op(e3,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_383]),c_0_375]) ).
cnf(c_0_387,plain,
( op(e3,e2) != e1
| op(e3,e3) != e0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_384,c_0_367]) ).
cnf(c_0_388,plain,
( epred5_0
| op(e3,e3) = e0
| op(e3,e3) = e2
| op(e3,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_71]),c_0_381]) ).
cnf(c_0_389,plain,
( ~ epred6_0
| op(e2,e2) != e2
| epred5_0
| op(e2,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_390,plain,
( ~ epred6_0
| epred5_0
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
fof(c_0_391,plain,
( epred4_0
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_392,plain,
( op(e3,e2) != e1
| epred5_0
| op(e3,e2) = e3
| op(e3,e3) = e2 ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_393,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_394,plain,
( op(e3,e2) != e0
| epred5_0
| op(e3,e2) = e3
| op(e3,e3) = e2 ),
inference(spm,[status(thm)],[c_0_279,c_0_388]) ).
cnf(c_0_395,plain,
( ~ epred6_0
| epred5_0
| op(e2,e3) = e2 ),
inference(csr,[status(thm)],[c_0_389,c_0_390]) ).
fof(c_0_396,plain,
( epred5_0
=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| epred4_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_349]),c_0_391]) ).
cnf(c_0_397,plain,
( epred5_0
| op(e3,e3) = e2
| op(e3,e2) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_115]),c_0_382]),c_0_394]) ).
cnf(c_0_398,plain,
( epred5_0
| op(e2,e3) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_361])]) ).
fof(c_0_399,plain,
( ( ~ epred5_0
| epred4_0
| op(e0,e3) != e3
| op(e1,e3) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e3) != e3
| op(e1,e2) != e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e3) != e3
| op(e1,e1) != e1 )
& ( ~ epred5_0
| epred4_0
| op(e0,e3) != e3
| op(e1,e0) != e0 )
& ( ~ epred5_0
| epred4_0
| op(e0,e3) != e3
| op(e2,e1) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e3) != e3
| op(e2,e2) = e1 )
& ( ~ epred5_0
| epred4_0
| op(e0,e2) != e2
| op(e1,e3) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e2) != e2
| op(e1,e2) != e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e2) != e2
| op(e1,e1) != e1 )
& ( ~ epred5_0
| epred4_0
| op(e0,e2) != e2
| op(e1,e0) != e0 )
& ( ~ epred5_0
| epred4_0
| op(e0,e2) != e2
| op(e2,e1) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e2) != e2
| op(e2,e2) = e1 )
& ( ~ epred5_0
| epred4_0
| op(e0,e1) != e1
| op(e1,e3) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e1) != e1
| op(e1,e2) != e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e1) != e1
| op(e1,e1) != e1 )
& ( ~ epred5_0
| epred4_0
| op(e0,e1) != e1
| op(e1,e0) != e0 )
& ( ~ epred5_0
| epred4_0
| op(e0,e1) != e1
| op(e2,e1) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e1) != e1
| op(e2,e2) = e1 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) != e0
| op(e1,e3) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) != e0
| op(e1,e2) != e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) != e0
| op(e1,e1) != e1 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) != e0
| op(e1,e0) != e0 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) != e0
| op(e2,e1) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e0,e0) != e0
| op(e2,e2) = e1 )
& ( ~ epred5_0
| epred4_0
| op(e2,e0) = e2
| op(e1,e3) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e2,e0) = e2
| op(e1,e2) != e2 )
& ( ~ epred5_0
| epred4_0
| op(e2,e0) = e2
| op(e1,e1) != e1 )
& ( ~ epred5_0
| epred4_0
| op(e2,e0) = e2
| op(e1,e0) != e0 )
& ( ~ epred5_0
| epred4_0
| op(e2,e0) = e2
| op(e2,e1) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e2,e0) = e2
| op(e2,e2) = e1 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e1,e3) != e3 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e1,e2) != e2 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e1,e1) != e1 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e1,e0) != e0 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e2,e1) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e2,e2) = e1 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_396])])]) ).
cnf(c_0_400,plain,
( epred5_0
| op(e3,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_397]),c_0_398]) ).
cnf(c_0_401,plain,
( ~ epred5_0
| op(e1,e1) != e1
| epred4_0
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_402,plain,
epred5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_400]),c_0_367]) ).
cnf(c_0_403,plain,
( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_404,plain,
( op(e1,e1) != e1
| epred4_0
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_402])]) ).
cnf(c_0_405,plain,
( epred4_0
| op(e2,e2) = e0
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_402])]) ).
cnf(c_0_406,plain,
( ~ epred5_0
| op(e1,e2) != e2
| epred4_0
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_407,plain,
( epred4_0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_404,c_0_86]) ).
cnf(c_0_408,plain,
( op(e1,e2) != e0
| op(e1,e1) != e3
| epred4_0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_245,c_0_405]) ).
cnf(c_0_409,plain,
( op(e1,e2) != e2
| epred4_0
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_402])]) ).
cnf(c_0_410,plain,
( op(e1,e2) != e0
| epred4_0
| op(e1,e1) = e2
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_407]),c_0_408]) ).
cnf(c_0_411,plain,
( epred4_0
| op(e1,e2) = e3
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_405]),c_0_409]) ).
cnf(c_0_412,plain,
( ~ epred5_0
| epred4_0
| op(e2,e2) = e0
| op(e2,e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_413,plain,
( op(e1,e2) != e3
| op(e1,e1) != e0
| epred4_0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_239,c_0_405]) ).
cnf(c_0_414,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_415,plain,
( epred4_0
| op(e2,e2) = e0
| op(e1,e1) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
cnf(c_0_416,plain,
( epred4_0
| op(e2,e1) = e2
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_412,c_0_402])]) ).
cnf(c_0_417,plain,
( op(e1,e2) != e3
| epred4_0
| op(e2,e2) = e0
| op(e1,e1) = e3
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_413,c_0_407]) ).
cnf(c_0_418,plain,
( epred4_0
| op(e1,e2) = e3
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_416]) ).
cnf(c_0_419,plain,
( epred4_0
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_420,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_421,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10])]) ).
cnf(c_0_422,plain,
( epred4_0
| op(e2,e2) = e0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_419]),c_0_418]) ).
cnf(c_0_423,plain,
( ~ epred5_0
| op(e0,e0) != e0
| epred4_0
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_424,plain,
( op(e0,e2) != e1
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_420,c_0_166]) ).
cnf(c_0_425,plain,
( ~ epred5_0
| op(e0,e2) != e2
| epred4_0
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_426,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_421]) ).
cnf(c_0_427,plain,
( epred4_0
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_422]),c_0_416]) ).
cnf(c_0_428,plain,
( op(e0,e0) != e0
| epred4_0
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_402])]) ).
cnf(c_0_429,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_424,c_0_147]) ).
cnf(c_0_430,plain,
( op(e0,e2) != e2
| epred4_0
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_402])]) ).
cnf(c_0_431,plain,
( op(e0,e2) != e1
| op(e0,e0) != e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_432,plain,
( epred4_0
| op(e2,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]) ).
fof(c_0_433,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])]) ).
cnf(c_0_434,plain,
( ~ epred5_0
| op(e0,e1) != e1
| epred4_0
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_435,plain,
( op(e0,e2) != e1
| epred4_0
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e3
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_436,plain,
( ~ epred5_0
| epred4_0
| op(e2,e0) = e2
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_437,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_433]) ).
cnf(c_0_438,plain,
( op(e0,e1) != e1
| epred4_0
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_402])]) ).
cnf(c_0_439,plain,
( epred4_0
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_147]),c_0_115]),c_0_120]),c_0_430]) ).
cnf(c_0_440,plain,
( epred4_0
| op(e2,e0) = e2
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_402])]) ).
cnf(c_0_441,plain,
( op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_134]),c_0_51]) ).
cnf(c_0_442,plain,
( op(e0,e2) != e3
| op(e0,e0) != e1
| epred4_0 ),
inference(spm,[status(thm)],[c_0_437,c_0_427]) ).
cnf(c_0_443,plain,
( epred4_0
| op(e2,e2) = e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_438,c_0_139]) ).
cnf(c_0_444,plain,
( epred4_0
| op(e0,e2) = e3
| op(e0,e2) = e0
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_439]),c_0_440]) ).
cnf(c_0_445,plain,
( epred4_0
| op(e2,e2) = e1
| op(e0,e3) = e2
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_441]),c_0_430]) ).
cnf(c_0_446,plain,
( op(e0,e2) != e3
| epred4_0
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
cnf(c_0_447,plain,
( epred4_0
| op(e2,e2) = e1
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_444]),c_0_427]) ).
fof(c_0_448,plain,
( epred3_0
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_449,plain,
( epred4_0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e3) = e2
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_445]),c_0_440]) ).
cnf(c_0_450,plain,
( epred4_0
| op(e2,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_115]) ).
fof(c_0_451,plain,
( epred4_0
=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_391]),c_0_448]) ).
cnf(c_0_452,plain,
( epred4_0
| op(e2,e2) = e1
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_450]),c_0_111]),c_0_120]) ).
fof(c_0_453,plain,
( ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e1,e3) = e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e1,e1) = e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e1,e3) = e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e1,e1) = e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e1,e3) = e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e1,e1) = e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e1,e3) = e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e1,e1) = e3 )
& ( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e1,e1) = e3 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e1,e3) = e1 )
& ( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e1,e1) = e3 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_451])])]) ).
cnf(c_0_454,plain,
( epred4_0
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_452]),c_0_58]) ).
cnf(c_0_455,plain,
( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e1,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_456,plain,
epred4_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_454]),c_0_120]) ).
cnf(c_0_457,plain,
( ~ epred4_0
| op(e2,e1) != e1
| epred3_0
| op(e1,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_458,plain,
( epred3_0
| op(e1,e1) = e2
| op(e1,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_456])]) ).
cnf(c_0_459,plain,
( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_460,plain,
( op(e2,e1) != e1
| epred3_0
| op(e1,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_456])]) ).
cnf(c_0_461,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_462,plain,
( op(e2,e1) != e2
| epred3_0
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_414,c_0_458]) ).
cnf(c_0_463,plain,
( ~ epred4_0
| op(e3,e1) != e1
| epred3_0
| op(e1,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_464,plain,
( epred3_0
| op(e1,e1) = e3
| op(e1,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_456])]) ).
cnf(c_0_465,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_466,plain,
( epred3_0
| op(e1,e3) = e1
| op(e2,e1) = e0
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_462]) ).
cnf(c_0_467,plain,
( op(e3,e1) != e1
| epred3_0
| op(e1,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_456])]) ).
cnf(c_0_468,plain,
( op(e3,e1) != e3
| epred3_0
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_103,c_0_464]) ).
cnf(c_0_469,plain,
( ~ epred4_0
| epred3_0
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_470,plain,
( ~ epred4_0
| op(e3,e3) != e3
| epred3_0
| op(e1,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_471,plain,
( op(e1,e2) != e1
| epred3_0
| op(e2,e1) = e3
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_472,plain,
( epred3_0
| op(e1,e2) = e1
| op(e3,e1) = e0
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_122]),c_0_468]) ).
cnf(c_0_473,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e3,e3) = e0
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(spm,[status(thm)],[c_0_96,c_0_374]) ).
cnf(c_0_474,plain,
( epred3_0
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_456])]) ).
cnf(c_0_475,plain,
( op(e3,e3) != e3
| epred3_0
| op(e1,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_456])]) ).
fof(c_0_476,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])]) ).
cnf(c_0_477,plain,
( epred3_0
| op(e2,e1) = e0
| op(e2,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_478,plain,
( epred3_0
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(e1,e2) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_120]),c_0_111]),c_0_115]),c_0_475]) ).
cnf(c_0_479,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_476]) ).
cnf(c_0_480,plain,
( op(e3,e3) != e0
| epred3_0
| op(e3,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_126,c_0_477]) ).
cnf(c_0_481,plain,
( epred3_0
| op(e2,e1) = e0
| op(e2,e1) = e3
| op(e3,e3) = e0
| op(e3,e3) = e2 ),
inference(spm,[status(thm)],[c_0_471,c_0_478]) ).
fof(c_0_482,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_483,plain,
( op(e3,e1) != e2
| op(e3,e3) != e0
| epred3_0
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_479,c_0_464]) ).
cnf(c_0_484,plain,
( epred3_0
| op(e2,e1) = e0
| op(e2,e1) = e3
| op(e3,e1) = e2
| op(e3,e3) = e2 ),
inference(spm,[status(thm)],[c_0_480,c_0_481]) ).
cnf(c_0_485,plain,
( op(e2,e1) != e3
| epred3_0
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_414,c_0_464]) ).
cnf(c_0_486,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_482]) ).
cnf(c_0_487,plain,
( epred3_0
| op(e1,e2) = e1
| op(e3,e3) = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_481]),c_0_484]),c_0_485]) ).
cnf(c_0_488,plain,
( op(e3,e1) != e0
| op(e3,e3) != e2
| epred3_0
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_486,c_0_464]) ).
cnf(c_0_489,plain,
( epred3_0
| op(e2,e1) = e0
| op(e2,e1) = e3
| op(e3,e3) = e2 ),
inference(spm,[status(thm)],[c_0_471,c_0_487]) ).
cnf(c_0_490,plain,
( ~ epred4_0
| op(e2,e2) != e2
| epred3_0
| op(e1,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_491,plain,
( op(e3,e1) != e0
| epred3_0
| op(e1,e2) = e1
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_485]) ).
cnf(c_0_492,plain,
( op(e1,e2) != e2
| epred3_0
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_250,c_0_458]) ).
cnf(c_0_493,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_494,plain,
( op(e2,e2) != e2
| epred3_0
| op(e1,e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_490,c_0_456])]) ).
cnf(c_0_495,plain,
( epred3_0
| op(e2,e1) = e0
| op(e1,e2) = e1
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_477]),c_0_485]) ).
cnf(c_0_496,plain,
( epred3_0
| op(e1,e3) = e1
| op(e0,e2) = e2
| op(e3,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_494]) ).
cnf(c_0_497,plain,
( epred3_0
| op(e2,e1) = e0
| op(e2,e1) = e3
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[c_0_471,c_0_495]) ).
cnf(c_0_498,plain,
( ~ epred4_0
| epred3_0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_499,plain,
( op(e1,e2) != e1
| epred3_0
| op(e3,e2) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_465,c_0_496]) ).
cnf(c_0_500,plain,
( ~ epred4_0
| op(e2,e2) != e2
| op(e3,e2) != e2
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_501,plain,
( ~ epred4_0
| op(e3,e0) != e0
| epred3_0
| op(e1,e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_502,plain,
( op(e2,e1) != e0
| op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_151,c_0_372]) ).
cnf(c_0_503,plain,
( epred3_0
| op(e2,e1) = e3
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_497]),c_0_489]) ).
cnf(c_0_504,plain,
( epred3_0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_498,c_0_456])]) ).
cnf(c_0_505,plain,
( epred3_0
| op(e0,e2) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_499,c_0_472]) ).
cnf(c_0_506,plain,
( op(e3,e2) != e2
| op(e2,e2) != e2
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_456])]) ).
cnf(c_0_507,plain,
( ~ epred4_0
| op(e3,e0) != e0
| epred3_0
| op(e1,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
fof(c_0_508,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])]) ).
cnf(c_0_509,plain,
( op(e3,e0) != e0
| epred3_0
| op(e1,e1) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_501,c_0_456])]) ).
cnf(c_0_510,plain,
( epred3_0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e0) = e0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_502,c_0_503]) ).
cnf(c_0_511,plain,
( op(e2,e1) != e3
| epred3_0
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_414,c_0_504]) ).
cnf(c_0_512,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_252,c_0_53]) ).
cnf(c_0_513,plain,
( op(e2,e2) != e2
| epred3_0
| op(e3,e1) = e0
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_505]),c_0_506]) ).
cnf(c_0_514,plain,
( op(e3,e0) != e0
| epred3_0
| op(e1,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_507,c_0_456])]) ).
cnf(c_0_515,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_508]) ).
cnf(c_0_516,plain,
( epred3_0
| op(e1,e1) = e2
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]) ).
cnf(c_0_517,plain,
( op(e2,e2) != e0
| epred3_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_294,c_0_503]) ).
cnf(c_0_518,plain,
( epred3_0
| op(e2,e2) = e3
| op(e2,e2) = e0
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_472]),c_0_120]),c_0_111]),c_0_115]),c_0_513]) ).
cnf(c_0_519,plain,
( epred3_0
| op(e1,e2) = e1
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_510]),c_0_485]) ).
cnf(c_0_520,plain,
( op(e2,e2) != e0
| epred3_0
| op(e3,e3) = e0
| op(e3,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_517]) ).
cnf(c_0_521,plain,
( op(e2,e1) != e0
| epred3_0
| op(e3,e1) = e2
| op(e2,e2) = e0
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_151,c_0_518]) ).
cnf(c_0_522,plain,
( epred3_0
| op(e0,e2) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_519]),c_0_120]),c_0_520]) ).
cnf(c_0_523,plain,
( epred3_0
| op(e0,e2) = e2
| op(e3,e2) = e2
| op(e3,e3) = e0
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_499,c_0_519]) ).
cnf(c_0_524,plain,
( ~ epred4_0
| op(e3,e2) != e2
| epred3_0
| op(e1,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_525,plain,
( op(e3,e1) != e2
| epred3_0
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_103,c_0_458]) ).
cnf(c_0_526,plain,
( epred3_0
| op(e2,e2) = e3
| op(e3,e1) = e2
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_503]),c_0_517]) ).
cnf(c_0_527,plain,
( epred3_0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_523]),c_0_51]) ).
cnf(c_0_528,plain,
( op(e3,e2) != e2
| epred3_0
| op(e1,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_524,c_0_456])]) ).
cnf(c_0_529,plain,
( epred3_0
| op(e1,e3) = e1
| op(e2,e1) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_530,plain,
( op(e3,e1) != e2
| epred3_0
| op(e1,e2) = e1
| op(e3,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_527]),c_0_528]) ).
cnf(c_0_531,plain,
( op(e1,e2) != e1
| epred3_0
| op(e2,e2) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_465,c_0_529]) ).
cnf(c_0_532,plain,
( op(e3,e3) != e2
| epred3_0
| op(e2,e1) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_126,c_0_526]) ).
cnf(c_0_533,plain,
( epred3_0
| op(e3,e2) = e0
| op(e1,e2) = e1
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_526]),c_0_485]) ).
cnf(c_0_534,plain,
( epred3_0
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_478]),c_0_532]) ).
cnf(c_0_535,plain,
( epred3_0
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_531,c_0_533]) ).
cnf(c_0_536,plain,
( epred3_0
| op(e2,e2) = e3
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_534]),c_0_535]) ).
cnf(c_0_537,plain,
( ~ epred4_0
| op(e3,e1) != e1
| epred3_0
| op(e1,e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
fof(c_0_538,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
cnf(c_0_539,plain,
( epred3_0
| op(e1,e1) = e2
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_511,c_0_536]) ).
cnf(c_0_540,plain,
( op(e3,e1) != e1
| epred3_0
| op(e1,e1) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_456])]) ).
cnf(c_0_541,plain,
( op(e3,e1) != e3
| epred3_0
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_103,c_0_504]) ).
cnf(c_0_542,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_543,plain,
( epred3_0
| op(e1,e2) = e1
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_485,c_0_536]) ).
cnf(c_0_544,plain,
( op(e2,e2) != e0
| epred3_0
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_539]),c_0_536]) ).
cnf(c_0_545,plain,
( epred3_0
| op(e1,e1) = e2
| op(e3,e1) = e0
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_122]),c_0_541]) ).
cnf(c_0_546,plain,
( op(e2,e1) != e0
| op(e2,e2) != e3
| epred3_0
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_542,c_0_458]) ).
cnf(c_0_547,plain,
( epred3_0
| op(e2,e2) = e3
| op(e2,e2) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_543]),c_0_120]),c_0_111]),c_0_115]),c_0_544]) ).
cnf(c_0_548,plain,
( op(e1,e2) != e1
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_465,c_0_90]) ).
cnf(c_0_549,plain,
( op(e1,e3) != e2
| epred3_0
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_93,c_0_545]) ).
cnf(c_0_550,plain,
( op(e2,e1) != e0
| epred3_0
| op(e1,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_547]),c_0_494]) ).
cnf(c_0_551,plain,
( epred3_0
| op(e1,e3) = e3
| op(e1,e3) = e0
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_472]),c_0_549]) ).
cnf(c_0_552,plain,
( epred3_0
| op(e1,e3) = e1
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_550,c_0_503]) ).
cnf(c_0_553,plain,
( epred3_0
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_120]),c_0_115]) ).
cnf(c_0_554,plain,
( epred3_0
| op(e2,e1) = e3
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_553]),c_0_503]) ).
fof(c_0_555,plain,
( epred2_0
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_556,plain,
( op(e1,e2) != e1
| epred3_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_465,c_0_552]) ).
cnf(c_0_557,plain,
( op(e3,e3) != e2
| epred3_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_126,c_0_554]) ).
fof(c_0_558,plain,
( epred3_0
=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_448]),c_0_555]) ).
cnf(c_0_559,plain,
( epred3_0
| op(e2,e1) = e3
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_478]),c_0_557]) ).
cnf(c_0_560,plain,
( epred3_0
| op(e0,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_499,c_0_543]) ).
fof(c_0_561,plain,
( ( ~ epred3_0
| epred2_0
| op(e0,e3) != e3
| op(e1,e3) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e0,e3) != e3
| op(e1,e2) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e0,e3) != e3
| op(e1,e1) != e1 )
& ( ~ epred3_0
| epred2_0
| op(e0,e3) != e3
| op(e1,e0) != e0 )
& ( ~ epred3_0
| epred2_0
| op(e0,e3) != e3
| op(e1,e1) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e0,e2) != e2
| op(e1,e3) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e0,e2) != e2
| op(e1,e2) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e0,e2) != e2
| op(e1,e1) != e1 )
& ( ~ epred3_0
| epred2_0
| op(e0,e2) != e2
| op(e1,e0) != e0 )
& ( ~ epred3_0
| epred2_0
| op(e0,e2) != e2
| op(e1,e1) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e0,e1) != e1
| op(e1,e3) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e0,e1) != e1
| op(e1,e2) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e0,e1) != e1
| op(e1,e1) != e1 )
& ( ~ epred3_0
| epred2_0
| op(e0,e1) != e1
| op(e1,e0) != e0 )
& ( ~ epred3_0
| epred2_0
| op(e0,e1) != e1
| op(e1,e1) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e0,e0) != e0
| op(e1,e3) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e0,e0) != e0
| op(e1,e2) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e0,e0) != e0
| op(e1,e1) != e1 )
& ( ~ epred3_0
| epred2_0
| op(e0,e0) != e0
| op(e1,e0) != e0 )
& ( ~ epred3_0
| epred2_0
| op(e0,e0) != e0
| op(e1,e1) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e1,e0) = e1
| op(e1,e3) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e1,e0) = e1
| op(e1,e2) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e0) = e1
| op(e1,e1) != e1 )
& ( ~ epred3_0
| epred2_0
| op(e1,e0) = e1
| op(e1,e0) != e0 )
& ( ~ epred3_0
| epred2_0
| op(e1,e0) = e1
| op(e1,e1) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e0
| op(e1,e3) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e0
| op(e1,e2) != e2 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e0
| op(e1,e1) != e1 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e0
| op(e1,e0) != e0 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) = e0
| op(e1,e1) = e1 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_558])])]) ).
cnf(c_0_562,plain,
( epred3_0
| op(e1,e2) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_559]),c_0_554]),c_0_485]) ).
cnf(c_0_563,plain,
( epred3_0
| op(e2,e2) = e3
| op(e3,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_560]),c_0_547]) ).
cnf(c_0_564,plain,
( ~ epred3_0
| op(e1,e1) != e1
| epred2_0
| op(e1,e1) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_565,plain,
( ~ epred3_0
| epred2_0
| op(e1,e1) = e0
| op(e1,e1) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_566,plain,
( epred3_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_556,c_0_562]) ).
cnf(c_0_567,plain,
( epred3_0
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_563]),c_0_547]) ).
cnf(c_0_568,plain,
( ~ epred3_0
| op(e0,e1) != e1
| epred2_0
| op(e1,e1) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_569,plain,
( ~ epred3_0
| op(e0,e1) != e1
| op(e1,e1) != e1
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_570,plain,
( ~ epred3_0
| epred2_0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[c_0_564,c_0_565]) ).
cnf(c_0_571,plain,
epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_566]),c_0_567]) ).
cnf(c_0_572,plain,
( ~ epred3_0
| op(e0,e1) != e1
| epred2_0 ),
inference(csr,[status(thm)],[c_0_568,c_0_569]) ).
cnf(c_0_573,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_574,plain,
( epred2_0
| op(e1,e1) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_570,c_0_571])]) ).
fof(c_0_575,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])]) ).
cnf(c_0_576,plain,
( ~ epred3_0
| op(e1,e1) != e1
| epred2_0
| op(e1,e0) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_577,plain,
( ~ epred3_0
| epred2_0
| op(e1,e0) = e1
| op(e1,e1) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_578,plain,
( ~ epred3_0
| op(e0,e0) != e0
| epred2_0
| op(e1,e1) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_579,plain,
( ~ epred3_0
| op(e0,e0) != e0
| op(e1,e1) != e1
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_580,plain,
( op(e0,e1) != e1
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_572,c_0_571])]) ).
cnf(c_0_581,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_582,plain,
( op(e0,e1) != e0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_573,c_0_574]) ).
cnf(c_0_583,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_575]) ).
fof(c_0_584,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])]) ).
cnf(c_0_585,plain,
( ~ epred3_0
| epred2_0
| op(e1,e0) = e1 ),
inference(csr,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_586,plain,
( ~ epred3_0
| op(e0,e0) != e0
| epred2_0 ),
inference(csr,[status(thm)],[c_0_578,c_0_579]) ).
cnf(c_0_587,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_588,plain,
( epred2_0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_581]),c_0_582]) ).
cnf(c_0_589,plain,
( op(e0,e1) != e2
| op(e0,e0) != e3
| epred2_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_574]) ).
cnf(c_0_590,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_584]) ).
cnf(c_0_591,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_340,c_0_166]) ).
cnf(c_0_592,plain,
( epred2_0
| op(e1,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_585,c_0_571])]) ).
cnf(c_0_593,plain,
( op(e0,e0) != e0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_586,c_0_571])]) ).
cnf(c_0_594,plain,
( op(e0,e0) != e3
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_589]) ).
fof(c_0_595,plain,
( epred1_0
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
cnf(c_0_596,plain,
( op(e0,e1) != e3
| op(e0,e0) != e2
| epred2_0 ),
inference(spm,[status(thm)],[c_0_590,c_0_574]) ).
cnf(c_0_597,plain,
( epred2_0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_592]),c_0_120]),c_0_111]),c_0_115]),c_0_593]),c_0_594]) ).
fof(c_0_598,plain,
( epred2_0
=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| epred1_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_555]),c_0_595]) ).
cnf(c_0_599,plain,
( op(e0,e1) != e3
| epred2_0 ),
inference(spm,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_600,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_601,plain,
( ( ~ epred2_0
| epred1_0
| op(e2,e3) != e3
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e3) != e3
| op(e3,e2) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e2,e3) != e3
| op(e3,e1) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e2,e3) != e3
| op(e3,e0) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e3) != e3
| op(e0,e3) = e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e3) != e3
| op(e0,e0) = e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e3,e2) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e3,e1) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e3,e0) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e0,e3) = e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e0,e0) = e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e1) != e1
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e1) != e1
| op(e3,e2) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e2,e1) != e1
| op(e3,e1) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e2,e1) != e1
| op(e3,e0) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e1) != e1
| op(e0,e3) = e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e1) != e1
| op(e0,e0) = e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e0) != e0
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e0) != e0
| op(e3,e2) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e2,e0) != e0
| op(e3,e1) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e2,e0) != e0
| op(e3,e0) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e0) != e0
| op(e0,e3) = e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e0) != e0
| op(e0,e0) = e3 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e3,e2) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e3,e1) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e3,e0) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e0,e0) = e3 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e3,e2) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e3,e1) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e3,e0) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e0,e3) = e0 )
& ( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e0,e0) = e3 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_598])])]) ).
cnf(c_0_602,plain,
( epred2_0
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_599,c_0_588]) ).
fof(c_0_603,plain,
( epred1_0
=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_595]) ).
cnf(c_0_604,plain,
( op(e0,e2) != e1
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_600,c_0_581]) ).
cnf(c_0_605,plain,
( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_606,plain,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_602]),c_0_597]) ).
fof(c_0_607,plain,
( ( ~ epred1_0
| op(e0,e3) != e3
| op(e1,e3) != e3 )
& ( ~ epred1_0
| op(e0,e3) != e3
| op(e1,e2) != e2 )
& ( ~ epred1_0
| op(e0,e3) != e3
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e0,e3) != e3
| op(e1,e0) != e0 )
& ( ~ epred1_0
| op(e0,e3) != e3
| op(e0,e1) = e0 )
& ( ~ epred1_0
| op(e0,e3) != e3
| op(e0,e0) = e1 )
& ( ~ epred1_0
| op(e0,e2) != e2
| op(e1,e3) != e3 )
& ( ~ epred1_0
| op(e0,e2) != e2
| op(e1,e2) != e2 )
& ( ~ epred1_0
| op(e0,e2) != e2
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e0,e2) != e2
| op(e1,e0) != e0 )
& ( ~ epred1_0
| op(e0,e2) != e2
| op(e0,e1) = e0 )
& ( ~ epred1_0
| op(e0,e2) != e2
| op(e0,e0) = e1 )
& ( ~ epred1_0
| op(e0,e1) != e1
| op(e1,e3) != e3 )
& ( ~ epred1_0
| op(e0,e1) != e1
| op(e1,e2) != e2 )
& ( ~ epred1_0
| op(e0,e1) != e1
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e0,e1) != e1
| op(e1,e0) != e0 )
& ( ~ epred1_0
| op(e0,e1) != e1
| op(e0,e1) = e0 )
& ( ~ epred1_0
| op(e0,e1) != e1
| op(e0,e0) = e1 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e3) != e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e2) != e2 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e0) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) = e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e3) != e3 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e2) != e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e0) != e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) = e0 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_603])])]) ).
cnf(c_0_608,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_609,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_604,c_0_147]) ).
cnf(c_0_610,plain,
( ~ epred2_0
| epred1_0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_611,plain,
( epred1_0
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_605,c_0_606])]) ).
cnf(c_0_612,plain,
( ~ epred2_0
| op(e2,e1) != e1
| epred1_0
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_613,plain,
( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_614,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_615,plain,
( op(e0,e3) != e0
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_608,c_0_609]) ).
cnf(c_0_616,plain,
( epred1_0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_610,c_0_606])]) ).
cnf(c_0_617,plain,
( op(e0,e2) != e3
| epred1_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_420,c_0_611]) ).
cnf(c_0_618,plain,
( ~ epred2_0
| op(e2,e1) != e1
| epred1_0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_619,plain,
( op(e2,e1) != e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_196,c_0_139]) ).
cnf(c_0_620,plain,
( op(e2,e1) != e1
| epred1_0
| op(e0,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_612,c_0_606])]) ).
cnf(c_0_621,plain,
( op(e2,e1) != e1
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_581]) ).
cnf(c_0_622,plain,
( op(e0,e1) != e2
| op(e0,e0) != e3
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_583,c_0_251]) ).
cnf(c_0_623,plain,
( ~ epred1_0
| op(e0,e1) = e0 ),
inference(csr,[status(thm)],[c_0_613,c_0_614]) ).
cnf(c_0_624,plain,
( epred1_0
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e2) = e0
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_616]),c_0_617]) ).
cnf(c_0_625,plain,
( op(e2,e1) != e1
| epred1_0
| op(e0,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_618,c_0_606])]) ).
cnf(c_0_626,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_619,c_0_461]) ).
cnf(c_0_627,plain,
( epred1_0
| op(e0,e0) = e3
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_620,c_0_461]) ).
fof(c_0_628,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])]) ).
cnf(c_0_629,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_621,c_0_461]) ).
cnf(c_0_630,plain,
( op(e2,e1) != e1
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_414,c_0_86]) ).
cnf(c_0_631,plain,
( op(e0,e1) != e2
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_611]),c_0_623]) ).
cnf(c_0_632,plain,
( epred1_0
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_624]),c_0_611]) ).
cnf(c_0_633,plain,
( epred1_0
| op(e0,e3) = e0
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_625,c_0_461]) ).
cnf(c_0_634,plain,
( epred1_0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_627]),c_0_115]) ).
cnf(c_0_635,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_628]) ).
cnf(c_0_636,plain,
( ~ epred2_0
| op(e3,e3) != e3
| epred1_0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_637,plain,
( op(e0,e3) != e0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_608,c_0_629]) ).
cnf(c_0_638,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_630,c_0_461]) ).
cnf(c_0_639,plain,
( epred1_0
| op(e0,e2) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_632]),c_0_51]) ).
cnf(c_0_640,plain,
( epred1_0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_634]),c_0_120]) ).
cnf(c_0_641,plain,
( ~ epred2_0
| op(e3,e2) != e2
| epred1_0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_642,plain,
( op(e3,e0) != e2
| op(e3,e3) != e1
| epred1_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_635,c_0_611]) ).
cnf(c_0_643,plain,
( op(e3,e3) != e3
| epred1_0
| op(e0,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_636,c_0_606])]) ).
cnf(c_0_644,plain,
( op(e3,e3) != e0
| epred1_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_169,c_0_616]) ).
cnf(c_0_645,plain,
( epred1_0
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_637,c_0_633]) ).
cnf(c_0_646,plain,
( op(e3,e1) != e0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_103,c_0_638]) ).
cnf(c_0_647,plain,
( epred1_0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_640]),c_0_111]),c_0_120]) ).
cnf(c_0_648,plain,
( op(e3,e1) != e2
| epred1_0
| op(e0,e2) = e0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_133,c_0_632]) ).
cnf(c_0_649,plain,
( op(e3,e2) != e2
| epred1_0
| op(e0,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_641,c_0_606])]) ).
cnf(c_0_650,plain,
( op(e3,e0) != e2
| epred1_0
| op(e0,e2) = e0
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_374]),c_0_643]),c_0_644]) ).
cnf(c_0_651,plain,
( epred1_0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_645]),c_0_627]) ).
cnf(c_0_652,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e0
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_621,c_0_156]) ).
fof(c_0_653,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).
cnf(c_0_654,plain,
( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_655,plain,
( epred1_0
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_646,c_0_647]) ).
cnf(c_0_656,plain,
( op(e0,e2) != e0
| epred1_0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_160,c_0_633]) ).
cnf(c_0_657,plain,
( epred1_0
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_110]),c_0_649]),c_0_650]) ).
cnf(c_0_658,plain,
( op(e0,e2) != e2
| epred1_0
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_600,c_0_651]) ).
cnf(c_0_659,plain,
( op(e0,e3) != e0
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_608,c_0_652]) ).
cnf(c_0_660,plain,
( epred1_0
| op(e0,e3) = e0
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_625,c_0_156]) ).
cnf(c_0_661,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_662,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_663,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_664,plain,
( epred1_0
| op(e0,e0) = e2
| op(e0,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_654,c_0_606])]) ).
cnf(c_0_665,plain,
( ~ epred2_0
| op(e2,e2) != e2
| epred1_0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_666,plain,
( op(e3,e3) != e2
| epred1_0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_655]),c_0_647]) ).
cnf(c_0_667,plain,
( epred1_0
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_657]),c_0_658]) ).
cnf(c_0_668,plain,
( epred1_0
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_659,c_0_660]) ).
cnf(c_0_669,plain,
( epred1_0
| op(e0,e0) = e3
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_620,c_0_156]) ).
cnf(c_0_670,plain,
( ~ epred2_0
| op(e2,e0) != e0
| epred1_0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_671,plain,
( op(e2,e2) != e1
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_661,c_0_662]) ).
cnf(c_0_672,plain,
( op(e2,e0) != e3
| op(e2,e2) != e1
| epred1_0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_663,c_0_664]) ).
cnf(c_0_673,plain,
( op(e2,e2) != e2
| epred1_0
| op(e0,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_665,c_0_606])]) ).
cnf(c_0_674,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_675,plain,
( ~ epred2_0
| op(e3,e0) != e0
| epred1_0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_676,plain,
( epred1_0
| op(e1,e1) = e2
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_666,c_0_667]) ).
cnf(c_0_677,plain,
( epred1_0
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_668]),c_0_669]) ).
cnf(c_0_678,plain,
( op(e2,e0) != e0
| epred1_0
| op(e0,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_670,c_0_606])]) ).
cnf(c_0_679,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| op(e2,e2) = e0
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_671,c_0_53]) ).
cnf(c_0_680,plain,
( op(e2,e0) != e3
| epred1_0
| op(e0,e3) = e0
| op(e2,e2) = e0
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_53]),c_0_673]) ).
cnf(c_0_681,plain,
( op(e2,e0) != e2
| epred1_0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_165,c_0_664]) ).
cnf(c_0_682,plain,
( op(e0,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_674]),c_0_51]) ).
cnf(c_0_683,plain,
( op(e3,e0) != e0
| epred1_0
| op(e0,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_675,c_0_606])]) ).
cnf(c_0_684,plain,
( epred1_0
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_676]),c_0_651]) ).
cnf(c_0_685,plain,
( op(e2,e1) != e2
| epred1_0
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_196,c_0_677]) ).
cnf(c_0_686,plain,
( epred1_0
| op(e0,e3) = e0
| op(e2,e2) = e3
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_679]),c_0_680]),c_0_681]),c_0_673]) ).
cnf(c_0_687,plain,
( epred1_0
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e0
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_611]),c_0_71]),c_0_58]),c_0_683]) ).
cnf(c_0_688,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_689,plain,
( epred1_0
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_684]),c_0_120]),c_0_685]) ).
cnf(c_0_690,plain,
( ~ epred2_0
| epred1_0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_691,plain,
( op(e0,e2) != e0
| epred1_0
| op(e2,e2) = e0
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_160,c_0_686]) ).
cnf(c_0_692,plain,
( op(e2,e2) != e0
| epred1_0
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_186,c_0_687]) ).
cnf(c_0_693,plain,
( ~ epred2_0
| op(e3,e0) != e0
| epred1_0
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_694,plain,
( op(e2,e0) != e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_212,c_0_688]) ).
cnf(c_0_695,plain,
( epred1_0
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_689]),c_0_115]) ).
cnf(c_0_696,plain,
( epred1_0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_690,c_0_606])]) ).
cnf(c_0_697,plain,
( op(e3,e0) != e2
| epred1_0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_180,c_0_664]) ).
cnf(c_0_698,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_687]),c_0_692]) ).
fof(c_0_699,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])]) ).
cnf(c_0_700,plain,
( op(e3,e0) != e0
| epred1_0
| op(e0,e0) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_693,c_0_606])]) ).
cnf(c_0_701,plain,
( epred1_0
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e2,e3) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_694,c_0_695]) ).
cnf(c_0_702,plain,
( op(e3,e0) != e3
| epred1_0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_180,c_0_696]) ).
cnf(c_0_703,plain,
( epred1_0
| op(e0,e3) = e0
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_698]),c_0_678]),c_0_681]) ).
cnf(c_0_704,plain,
( op(e3,e0) != e3
| epred1_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_180,c_0_611]) ).
cnf(c_0_705,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_699]) ).
cnf(c_0_706,plain,
( epred1_0
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_701]),c_0_702]) ).
cnf(c_0_707,plain,
( op(e0,e2) != e0
| epred1_0
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_160,c_0_703]) ).
cnf(c_0_708,plain,
( epred1_0
| op(e0,e2) = e0
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_701]),c_0_704]) ).
cnf(c_0_709,plain,
( op(e2,e2) != e3
| epred1_0
| op(e3,e0) = e2
| op(e2,e3) = e1
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_706]),c_0_695]) ).
cnf(c_0_710,plain,
( epred1_0
| op(e3,e0) = e2
| op(e2,e3) = e1
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_708]),c_0_709]) ).
cnf(c_0_711,plain,
( epred1_0
| op(e0,e3) = e0
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_697,c_0_710]) ).
cnf(c_0_712,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_713,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_714,plain,
( op(e0,e2) != e0
| epred1_0
| op(e2,e3) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_160,c_0_711]) ).
cnf(c_0_715,plain,
( op(e3,e3) != e2
| epred1_0
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_712,c_0_710]) ).
cnf(c_0_716,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_717,plain,
( op(e2,e3) != e1
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_713,c_0_662]) ).
cnf(c_0_718,plain,
( epred1_0
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_710]),c_0_714]),c_0_715]) ).
cnf(c_0_719,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_720,plain,
( op(e0,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e0,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_716]),c_0_58]) ).
cnf(c_0_721,plain,
( ~ epred2_0
| op(e2,e0) != e0
| epred1_0
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_722,plain,
( epred1_0
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_718]),c_0_671]) ).
cnf(c_0_723,plain,
( op(e2,e3) != e1
| op(e3,e3) = e0
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(spm,[status(thm)],[c_0_56,c_0_374]) ).
cnf(c_0_724,plain,
( op(e0,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_719]),c_0_120]) ).
cnf(c_0_725,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_726,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_727,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).
cnf(c_0_728,plain,
( op(e0,e3) != e0
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e0,e0) = e3
| op(e3,e0) = e0
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_185,c_0_720]) ).
cnf(c_0_729,plain,
( epred1_0
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e0
| op(e0,e3) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_664]),c_0_71]),c_0_51]),c_0_678]) ).
cnf(c_0_730,plain,
( op(e2,e0) != e0
| epred1_0
| op(e0,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_721,c_0_606])]) ).
cnf(c_0_731,plain,
( epred1_0
| op(e0,e3) = e0
| op(e2,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_722]),c_0_681]) ).
cnf(c_0_732,plain,
( epred1_0
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_723,c_0_718]) ).
cnf(c_0_733,plain,
( ~ epred2_0
| op(e3,e1) != e1
| epred1_0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_734,plain,
( epred1_0
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_611]),c_0_115]),c_0_58]),c_0_683]) ).
cnf(c_0_735,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_726]),c_0_115]) ).
cnf(c_0_736,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_737,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_727]) ).
cnf(c_0_738,plain,
( epred1_0
| op(e3,e0) = e0
| op(e0,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_729]),c_0_730]) ).
cnf(c_0_739,plain,
( op(e0,e2) != e0
| epred1_0
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_160,c_0_731]) ).
cnf(c_0_740,plain,
( epred1_0
| op(e0,e2) = e0
| op(e2,e2) = e1
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_732]),c_0_643]) ).
cnf(c_0_741,plain,
( op(e3,e1) != e1
| epred1_0
| op(e0,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_733,c_0_606])]) ).
cnf(c_0_742,plain,
( op(e2,e2) != e0
| epred1_0
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_186,c_0_734]) ).
cnf(c_0_743,plain,
( epred1_0
| op(e2,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_616]),c_0_58]),c_0_120]),c_0_643]) ).
cnf(c_0_744,plain,
( op(e0,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_726]),c_0_71]) ).
cnf(c_0_745,plain,
( op(e2,e2) != e0
| epred1_0
| op(e3,e3) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_186,c_0_657]) ).
cnf(c_0_746,plain,
( op(e3,e0) != e1
| op(e3,e3) != e2
| epred1_0
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_737,c_0_738]) ).
cnf(c_0_747,plain,
( epred1_0
| op(e2,e0) = e3
| op(e3,e3) = e2
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_739,c_0_740]) ).
cnf(c_0_748,plain,
( epred1_0
| op(e0,e2) = e0
| op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_741,c_0_109]) ).
cnf(c_0_749,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_734]),c_0_742]) ).
cnf(c_0_750,plain,
( op(e2,e2) != e0
| epred1_0
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_186,c_0_743]) ).
cnf(c_0_751,plain,
( epred1_0
| op(e2,e0) = e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_739,c_0_734]) ).
cnf(c_0_752,plain,
( epred1_0
| op(e2,e3) = e3
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_616]),c_0_58]),c_0_51]),c_0_643]) ).
cnf(c_0_753,plain,
( epred1_0
| op(e2,e2) = e3
| op(e3,e3) = e2
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_657]),c_0_745]) ).
cnf(c_0_754,plain,
( op(e0,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e0,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_314]),c_0_58]) ).
cnf(c_0_755,plain,
( op(e3,e0) != e1
| epred1_0
| op(e3,e0) = e0
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_746,c_0_747]) ).
cnf(c_0_756,plain,
( epred1_0
| op(e2,e0) = e3
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_739,c_0_748]) ).
cnf(c_0_757,plain,
( op(e3,e3) != e1
| epred1_0
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_712,c_0_749]) ).
cnf(c_0_758,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_743]),c_0_750]) ).
cnf(c_0_759,plain,
( op(e3,e3) != e1
| epred1_0
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_712,c_0_751]) ).
cnf(c_0_760,plain,
( epred1_0
| op(e2,e0) = e3
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_739,c_0_743]) ).
cnf(c_0_761,plain,
( epred1_0
| op(e2,e0) = e3
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_739,c_0_752]) ).
cnf(c_0_762,plain,
( epred1_0
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e3
| op(e2,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_753]),c_0_51]) ).
cnf(c_0_763,plain,
( epred1_0
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e2,e2) = e3
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_698]),c_0_111]) ).
cnf(c_0_764,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e2) = e0
| op(e3,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_691,c_0_754]) ).
cnf(c_0_765,plain,
( epred1_0
| op(e2,e2) = e1
| op(e2,e0) = e3
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_115]),c_0_120]) ).
cnf(c_0_766,plain,
( op(e3,e3) != e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_712,c_0_688]) ).
cnf(c_0_767,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e3) = e3
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_757,c_0_758]) ).
cnf(c_0_768,plain,
( ~ epred2_0
| op(e2,e3) != e3
| epred1_0
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_769,plain,
( op(e3,e0) != e1
| op(e3,e3) != e2
| epred1_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_737,c_0_611]) ).
cnf(c_0_770,plain,
( op(e2,e0) != e3
| epred1_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_165,c_0_611]) ).
cnf(c_0_771,plain,
( epred1_0
| op(e2,e0) = e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e3) = e3
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_759,c_0_760]) ).
cnf(c_0_772,plain,
( epred1_0
| op(e2,e3) = e3
| op(e2,e3) = e1
| op(e2,e0) = e3
| op(e2,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_761]),c_0_111]) ).
cnf(c_0_773,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_758]),c_0_111]) ).
cnf(c_0_774,plain,
( op(e2,e3) != e1
| epred1_0
| op(e2,e0) = e2
| op(e2,e2) = e3
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_713,c_0_763]) ).
cnf(c_0_775,plain,
( op(e2,e2) != e1
| epred1_0
| op(e2,e0) = e2
| op(e2,e2) = e3
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_661,c_0_763]) ).
cnf(c_0_776,plain,
( epred1_0
| op(e3,e2) = e0
| op(e3,e2) = e3
| op(e2,e2) = e0
| op(e2,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_764]),c_0_58]) ).
cnf(c_0_777,plain,
( epred1_0
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_765]),c_0_120]),c_0_111]),c_0_115]) ).
cnf(c_0_778,plain,
( op(e2,e2) != e0
| epred1_0
| op(e2,e2) = e1
| op(e2,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_747]),c_0_718]) ).
cnf(c_0_779,plain,
( op(e3,e3) != e1
| epred1_0
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_738]),c_0_766]) ).
cnf(c_0_780,plain,
( epred1_0
| op(e2,e3) = e1
| op(e2,e3) = e3
| op(e2,e0) = e0
| op(e2,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_767]),c_0_120]),c_0_111]),c_0_115]) ).
cnf(c_0_781,plain,
( op(e2,e3) != e3
| epred1_0
| op(e0,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_768,c_0_606])]) ).
cnf(c_0_782,plain,
( op(e3,e0) != e1
| epred1_0
| op(e0,e2) = e0
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_747]),c_0_770]) ).
cnf(c_0_783,plain,
( epred1_0
| op(e2,e3) = e1
| op(e2,e3) = e3
| op(e2,e0) = e0
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_771]),c_0_120]),c_0_111]),c_0_115]) ).
cnf(c_0_784,plain,
( epred1_0
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_772]),c_0_773]) ).
cnf(c_0_785,plain,
( epred1_0
| op(e2,e0) = e0
| op(e2,e2) = e3
| op(e2,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_718]),c_0_775]) ).
cnf(c_0_786,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_777]),c_0_115]),c_0_120]),c_0_778]) ).
cnf(c_0_787,plain,
( epred1_0
| op(e3,e0) = e0
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e2,e3) = e3
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_779,c_0_760]) ).
cnf(c_0_788,plain,
( epred1_0
| op(e0,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_780]),c_0_781]) ).
cnf(c_0_789,plain,
( epred1_0
| op(e2,e2) = e1
| op(e0,e2) = e0
| op(e3,e0) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_782,c_0_688]),c_0_704]),c_0_683]) ).
cnf(c_0_790,plain,
( epred1_0
| op(e0,e0) = e3
| op(e2,e0) = e3
| op(e2,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_783]),c_0_781]) ).
cnf(c_0_791,plain,
( op(e2,e2) != e1
| epred1_0
| op(e2,e3) = e3
| op(e2,e3) = e2 ),
inference(spm,[status(thm)],[c_0_79,c_0_784]) ).
cnf(c_0_792,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_786]),c_0_71]),c_0_58]) ).
cnf(c_0_793,plain,
( op(e2,e0) != e0
| epred1_0
| op(e2,e3) = e1
| op(e2,e3) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_212,c_0_787]) ).
cnf(c_0_794,plain,
( op(e3,e0) != e3
| epred1_0
| op(e2,e3) = e1
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_180,c_0_788]) ).
cnf(c_0_795,plain,
( epred1_0
| op(e2,e0) = e3
| op(e3,e0) = e2
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_739,c_0_789]) ).
cnf(c_0_796,plain,
( op(e3,e0) != e3
| epred1_0
| op(e2,e3) = e1
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_180,c_0_790]) ).
cnf(c_0_797,plain,
( epred1_0
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_791,c_0_792]) ).
cnf(c_0_798,plain,
( epred1_0
| op(e2,e3) = e3
| op(e2,e3) = e1
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_780]),c_0_58]),c_0_794]) ).
cnf(c_0_799,plain,
( epred1_0
| op(e2,e2) = e1
| op(e2,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_795]),c_0_747]) ).
cnf(c_0_800,plain,
( epred1_0
| op(e2,e3) = e3
| op(e2,e3) = e1
| op(e2,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_783]),c_0_58]),c_0_796]) ).
cnf(c_0_801,plain,
( epred1_0
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_798]),c_0_115]),c_0_111]) ).
cnf(c_0_802,plain,
( op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_134]),c_0_111]) ).
cnf(c_0_803,plain,
( op(e0,e3) != e2
| epred1_0
| op(e0,e2) = e0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_608,c_0_632]) ).
cnf(c_0_804,plain,
( epred1_0
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_799]),c_0_792]) ).
cnf(c_0_805,plain,
( epred1_0
| op(e2,e3) = e1
| op(e2,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_800]),c_0_801]) ).
cnf(c_0_806,plain,
( ~ epred2_0
| op(e2,e3) != e3
| epred1_0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_807,plain,
( epred1_0
| op(e0,e2) = e2
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_611]),c_0_71]),c_0_115]),c_0_803]) ).
cnf(c_0_808,plain,
( op(e1,e2) != e0
| op(e1,e1) != e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_804]) ).
cnf(c_0_809,plain,
( op(e2,e2) != e1
| epred1_0
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_79,c_0_805]) ).
cnf(c_0_810,plain,
( op(e2,e3) != e3
| epred1_0
| op(e0,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_806,c_0_606])]) ).
cnf(c_0_811,plain,
( op(e0,e3) != e2
| epred1_0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_185,c_0_664]) ).
cnf(c_0_812,plain,
( epred1_0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_807]),c_0_120]) ).
cnf(c_0_813,plain,
( op(e1,e2) != e0
| epred1_0
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_808,c_0_219]) ).
cnf(c_0_814,plain,
( epred1_0
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_252,c_0_804]) ).
cnf(c_0_815,plain,
( epred1_0
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_809,c_0_804]) ).
cnf(c_0_816,plain,
( epred1_0
| op(e0,e3) = e3
| op(e0,e3) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_805]),c_0_810]),c_0_811]) ).
cnf(c_0_817,plain,
( op(e3,e2) != e1
| epred1_0
| op(e0,e2) = e2
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_146,c_0_812]) ).
cnf(c_0_818,plain,
( op(e2,e2) != e1
| epred1_0
| op(e0,e2) = e2
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_186,c_0_812]) ).
cnf(c_0_819,plain,
( ~ epred2_0
| op(e3,e1) != e1
| epred1_0
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_820,plain,
( epred1_0
| op(e1,e3) = e3
| op(e1,e0) = e3
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_814]),c_0_58]) ).
cnf(c_0_821,plain,
( epred1_0
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_781,c_0_815]) ).
cnf(c_0_822,plain,
( op(e0,e2) != e0
| epred1_0
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_160,c_0_816]) ).
cnf(c_0_823,plain,
( epred1_0
| op(e0,e2) = e0
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_817,c_0_777]),c_0_818]),c_0_770]) ).
cnf(c_0_824,plain,
( op(e3,e1) != e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_139]) ).
cnf(c_0_825,plain,
( op(e3,e1) != e1
| epred1_0
| op(e0,e0) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_819,c_0_606])]) ).
cnf(c_0_826,plain,
( op(e1,e2) != e3
| op(e1,e1) != e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_804]) ).
cnf(c_0_827,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_828,plain,
( epred1_0
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e3) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_820]),c_0_821]) ).
cnf(c_0_829,plain,
( op(e0,e3) != e3
| epred1_0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_185,c_0_696]) ).
cnf(c_0_830,plain,
( epred1_0
| op(e0,e3) = e3
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_822,c_0_823]) ).
cnf(c_0_831,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_824,c_0_122]) ).
cnf(c_0_832,plain,
( epred1_0
| op(e0,e0) = e2
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_825,c_0_122]) ).
cnf(c_0_833,plain,
( epred1_0
| op(e0,e2) = e0
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_741,c_0_122]) ).
cnf(c_0_834,plain,
( op(e1,e2) != e3
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_826,c_0_251]),c_0_623]) ).
cnf(c_0_835,plain,
( epred1_0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_827,c_0_828]),c_0_815]) ).
cnf(c_0_836,plain,
( epred1_0
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_829,c_0_830]) ).
cnf(c_0_837,plain,
( epred1_0
| op(e2,e0) = e3
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_739,c_0_823]) ).
cnf(c_0_838,plain,
( epred1_0
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_832]),c_0_111]) ).
cnf(c_0_839,plain,
( epred1_0
| op(e0,e3) = e3
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_822,c_0_833]) ).
cnf(c_0_840,plain,
( ~ epred2_0
| op(e2,e3) != e3
| op(e3,e2) != e2
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_841,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_835]),c_0_623]) ).
cnf(c_0_842,plain,
( op(e2,e2) != e1
| epred1_0
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_836]),c_0_837]) ).
cnf(c_0_843,plain,
( epred1_0
| op(e0,e2) = e1
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_838,c_0_839]),c_0_115]) ).
cnf(c_0_844,plain,
( op(e3,e2) != e2
| op(e2,e3) != e3
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_840,c_0_606])]) ).
cnf(c_0_845,plain,
( op(e0,e2) != e2
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_322,c_0_841]) ).
cnf(c_0_846,plain,
( epred1_0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_842,c_0_804]) ).
cnf(c_0_847,plain,
( ~ epred2_0
| op(e2,e3) != e3
| op(e3,e3) != e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_848,plain,
( epred1_0
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_833,c_0_843]),c_0_120]) ).
cnf(c_0_849,plain,
( op(e2,e2) != e1
| op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(spm,[status(thm)],[c_0_43,c_0_393]) ).
cnf(c_0_850,plain,
( op(e3,e2) != e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_844,c_0_815]) ).
cnf(c_0_851,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_845,c_0_846]),c_0_623]) ).
cnf(c_0_852,plain,
( epred1_0
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_263,c_0_835]) ).
cnf(c_0_853,plain,
( op(e3,e3) != e3
| op(e2,e3) != e3
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_847,c_0_606])]) ).
cnf(c_0_854,plain,
( epred1_0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_810,c_0_815]) ).
cnf(c_0_855,plain,
( op(e3,e2) != e0
| epred1_0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_121,c_0_848]) ).
cnf(c_0_856,plain,
( epred1_0
| op(e3,e2) = e3
| op(e3,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_804]),c_0_850]) ).
cnf(c_0_857,plain,
( op(e0,e3) != e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_608,c_0_851]) ).
cnf(c_0_858,plain,
( epred1_0
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_852]),c_0_846]) ).
cnf(c_0_859,plain,
( op(e3,e0) != e2
| op(e3,e3) != e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_635,c_0_821]) ).
cnf(c_0_860,plain,
( op(e3,e3) != e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_853,c_0_815]) ).
cnf(c_0_861,plain,
( op(e3,e3) != e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_854]) ).
cnf(c_0_862,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_824,c_0_109]) ).
cnf(c_0_863,plain,
( epred1_0
| op(e0,e0) = e2
| op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_825,c_0_109]) ).
cnf(c_0_864,plain,
( epred1_0
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e2) = e3 ),
inference(spm,[status(thm)],[c_0_855,c_0_856]) ).
cnf(c_0_865,plain,
( epred1_0
| op(e3,e1) = e0
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_857,c_0_854]) ).
cnf(c_0_866,plain,
( epred1_0
| op(e3,e1) = e3
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_858]),c_0_821]) ).
cnf(c_0_867,plain,
( op(e3,e0) != e2
| epred1_0
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_859,c_0_374]),c_0_860]),c_0_861]) ).
cnf(c_0_868,plain,
( epred1_0
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_863]),c_0_111]) ).
cnf(c_0_869,plain,
( epred1_0
| op(e0,e3) = e3
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_822,c_0_748]) ).
cnf(c_0_870,plain,
( op(e3,e2) != e3
| epred1_0
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_265,c_0_835]) ).
cnf(c_0_871,plain,
( epred1_0
| op(e3,e2) = e3
| op(e2,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_865]),c_0_51]),c_0_58]) ).
cnf(c_0_872,plain,
( ~ epred2_0
| op(e2,e3) != e3
| op(e3,e0) != e0
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_873,plain,
( op(e3,e0) != e1
| op(e3,e3) != e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_737,c_0_821]) ).
cnf(c_0_874,plain,
( epred1_0
| op(e3,e3) = e2
| op(e2,e1) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_866]),c_0_71]),c_0_850]),c_0_867]) ).
cnf(c_0_875,plain,
( epred1_0
| op(e0,e2) = e1
| op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_868,c_0_869]),c_0_115]) ).
cnf(c_0_876,plain,
( epred1_0
| op(e1,e2) = e2
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_870,c_0_871]) ).
cnf(c_0_877,plain,
( op(e3,e0) != e0
| op(e2,e3) != e3
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_872,c_0_606])]) ).
cnf(c_0_878,plain,
( op(e3,e0) != e1
| epred1_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_873,c_0_874]) ).
cnf(c_0_879,plain,
( epred1_0
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_875]),c_0_120]) ).
cnf(c_0_880,plain,
( epred1_0
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_876]),c_0_846]) ).
cnf(c_0_881,plain,
( op(e3,e0) != e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_877,c_0_815]) ).
cnf(c_0_882,plain,
( epred1_0
| op(e2,e1) = e3
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_878,c_0_879]) ).
cnf(c_0_883,plain,
( epred1_0
| op(e3,e2) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_880]),c_0_881]),c_0_861]) ).
cnf(c_0_884,plain,
( epred1_0
| op(e2,e1) = e3
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_882]),c_0_111]) ).
cnf(c_0_885,plain,
( epred1_0
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_884]),c_0_120]) ).
cnf(c_0_886,plain,
( ~ epred1_0
| op(e1,e1) != e1
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_887,plain,
( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_888,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_885]),c_0_58]) ).
fof(c_0_889,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).
cnf(c_0_890,plain,
( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_891,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_892,plain,
( ~ epred1_0
| op(e1,e0) != e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_893,plain,
( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_894,plain,
( ~ epred1_0
| op(e1,e1) != e1 ),
inference(csr,[status(thm)],[c_0_886,c_0_887]) ).
cnf(c_0_895,plain,
op(e0,e1) = e0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_623,c_0_888])]) ).
cnf(c_0_896,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_889]) ).
cnf(c_0_897,plain,
( ~ epred1_0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[c_0_890,c_0_891]) ).
fof(c_0_898,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax17])]) ).
cnf(c_0_899,plain,
( ~ epred1_0
| op(e1,e0) != e0 ),
inference(csr,[status(thm)],[c_0_892,c_0_893]) ).
cnf(c_0_900,plain,
op(e1,e1) != e1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_894,c_0_888])]) ).
cnf(c_0_901,plain,
op(e1,e1) != e0,
inference(rw,[status(thm)],[c_0_573,c_0_895]) ).
cnf(c_0_902,plain,
( op(e1,e0) != e3
| op(e1,e1) != e2
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_896,c_0_166]) ).
cnf(c_0_903,plain,
op(e0,e0) = e1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_897,c_0_888])]) ).
cnf(c_0_904,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_898]) ).
cnf(c_0_905,plain,
op(e1,e0) != e0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_899,c_0_888])]) ).
cnf(c_0_906,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_907,plain,
( op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_86,c_0_900]),c_0_901]) ).
cnf(c_0_908,plain,
( op(e1,e0) != e3
| op(e1,e1) != e2 ),
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_902,c_0_903]),c_0_903]),c_0_903]),c_0_115]),c_0_111]),c_0_120]) ).
cnf(c_0_909,plain,
( op(e1,e0) != e2
| op(e1,e1) != e3
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_904,c_0_166]) ).
cnf(c_0_910,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[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_591,c_0_903]),c_0_903]),c_0_903]),c_0_115]),c_0_111]),c_0_120]),c_0_905]) ).
cnf(c_0_911,plain,
op(e1,e0) != e3,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_907]),c_0_908]) ).
cnf(c_0_912,plain,
( op(e1,e0) != e2
| op(e1,e1) != 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_909,c_0_903]),c_0_903]),c_0_903]),c_0_115]),c_0_111]),c_0_120]) ).
cnf(c_0_913,plain,
op(e1,e0) = e2,
inference(sr,[status(thm)],[c_0_910,c_0_911]) ).
cnf(c_0_914,plain,
op(e1,e1) != e3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_912,c_0_913])]) ).
cnf(c_0_915,plain,
op(e1,e1) != e2,
inference(rw,[status(thm)],[c_0_906,c_0_913]) ).
cnf(c_0_916,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_907,c_0_914]),c_0_915]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG133+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.52 % Computer : n005.cluster.edu
% 0.11/5.52 % Model : x86_64 x86_64
% 0.11/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.52 % Memory : 8046.5625MB
% 0.11/5.52 % OS : Linux 6.8.0-71-generic
% 0.11/5.53 % CPULimit : 300
% 0.11/5.53 % WCLimit : 300
% 0.11/5.53 % DateTime : Mon Sep 21 12:58:08 UTC 2026
% 0.11/5.53 % CPUTime :
% 0.11/5.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.58 Running first-order theorem proving
% 0.11/5.58 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.40/9.72 % Version: 3.5.1
% 16.40/9.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.40/9.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.40/9.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.40/9.72 % Starting new_bool_3 with 300s (1) cores
% 16.40/9.72 % Starting new_bool_1 with 300s (1) cores
% 16.40/9.72 % Starting sh5l with 300s (1) cores
% 16.40/9.72 % sh5l with pid 3529095 completed with status 9
% 16.40/9.72 % new_bool_1 with pid 3529094 completed with status 9
% 16.40/9.72 % new_bool_3 with pid 3529093 completed with status 9
% 16.40/9.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3529092 completed with status 0
% 16.40/9.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 16.40/9.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.40/9.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.40/9.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.40/9.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.40/9.72 % No SInE strategy applied
% 16.40/9.72 % Search class: FGHSF-FSLM22-SFFFFFNN
% 16.40/9.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.40/9.72 % Starting SubtermCWHack with 136s (1) cores
% 16.40/9.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.40/9.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 16.40/9.72 % Starting new_bool_3 with 136s (1) cores
% 16.40/9.72 % Starting new_bool_1 with 136s (1) cores
% 16.40/9.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3529115 completed with status 0
% 16.40/9.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 16.40/9.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.40/9.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.40/9.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.40/9.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.40/9.72 % No SInE strategy applied
% 16.40/9.72 % Search class: FGHSF-FSLM22-SFFFFFNN
% 16.40/9.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.40/9.72 % Starting SubtermCWHack with 136s (1) cores
% 16.40/9.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.40/9.72 % Preprocessing time : 0.008 s
% 16.40/9.72 % Presaturation interreduction done
% 16.40/9.72
% 16.40/9.72 % Proof found!
% 16.40/9.72 % SZS status Unsatisfiable
% 16.40/9.72 % SZS output start CNFRefutation
% See solution above
% 16.40/9.72 % Parsed axioms : 29
% 16.40/9.72 % Removed by relevancy pruning/SinE : 0
% 16.40/9.72 % Initial clauses : 394
% 16.40/9.72 % Removed in clause preprocessing : 0
% 16.40/9.72 % Initial clauses in saturation : 394
% 16.40/9.72 % Processed clauses : 15968
% 16.40/9.72 % ...of these trivial : 160
% 16.40/9.72 % ...subsumed : 10673
% 16.40/9.72 % ...remaining for further processing : 5134
% 16.40/9.72 % Other redundant clauses eliminated : 0
% 16.40/9.72 % Clauses deleted for lack of memory : 0
% 16.40/9.72 % Backward-subsumed : 3047
% 16.40/9.72 % Backward-rewritten : 1392
% 16.40/9.72 % Generated clauses : 137662
% 16.40/9.72 % ...of the previous two non-redundant : 135608
% 16.40/9.72 % ...aggressively subsumed : 0
% 16.40/9.72 % Contextual simplify-reflections : 508
% 16.40/9.72 % Paramodulations : 136789
% 16.40/9.72 % Factorizations : 680
% 16.40/9.72 % NegExts : 0
% 16.40/9.72 % Equation resolutions : 0
% 16.40/9.72 % Disequality decompositions : 0
% 16.40/9.72 % Total rewrite steps : 1683
% 16.40/9.72 % ...of those cached : 1673
% 16.40/9.72 % Propositional unsat checks : 1
% 16.40/9.72 % Propositional check models : 1
% 16.40/9.72 % Propositional check unsatisfiable : 0
% 16.40/9.72 % Propositional clauses : 0
% 16.40/9.72 % Propositional clauses after purity: 0
% 16.40/9.72 % Propositional unsat core size : 0
% 16.40/9.72 % Propositional preprocessing time : 0.000
% 16.40/9.72 % Propositional encoding time : 0.123
% 16.40/9.72 % Propositional solver time : 0.052
% 16.40/9.72 % Success case prop preproc time : 0.000
% 16.40/9.72 % Success case prop encoding time : 0.000
% 16.40/9.72 % Success case prop solver time : 0.000
% 16.40/9.72 % Current number of processed clauses : 204
% 16.40/9.72 % Positive orientable unit clauses : 10
% 16.40/9.72 % Positive unorientable unit clauses: 0
% 16.40/9.72 % Negative unit clauses : 55
% 16.40/9.72 % Non-unit-clauses : 139
% 16.40/9.72 % Current number of unprocessed clauses: 106326
% 16.40/9.72 % ...number of literals in the above : 1043861
% 16.40/9.72 % Current number of archived formulas : 0
% 16.40/9.72 % Current number of archived clauses : 4930
% 16.40/9.72 % Clause-clause subsumption calls (NU) : 302216
% 16.40/9.72 % Rec. Clause-clause subsumption calls : 10428
% 16.40/9.72 % Non-unit clause-clause subsumptions : 5641
% 16.40/9.72 % Unit Clause-clause subsumption calls : 1808
% 16.40/9.72 % Rewrite failures with RHS unbound : 0
% 16.40/9.72 % BW rewrite match attempts : 10
% 16.40/9.72 % BW rewrite match successes : 10
% 16.40/9.72 % Condensation attempts : 0
% 16.40/9.72 % Condensation successes : 0
% 16.40/9.72 % Termbank termtop insertions : 3903331
% 16.40/9.72 % Search garbage collected termcells : 1923
% 16.40/9.72
% 16.40/9.72 % -------------------------------------------------
% 16.40/9.72 % User time : 3.911 s
% 16.40/9.72 % System time : 0.147 s
% 16.40/9.72 % Total time : 4.058 s
% 16.40/9.72 % Maximum resident set size: 4424 pages
% 16.40/9.72
% 16.40/9.72 % -------------------------------------------------
% 16.40/9.72 % User time : 19.678 s
% 16.40/9.72 % System time : 0.621 s
% 16.40/9.72 % Total time : 20.299 s
% 16.40/9.72 % Maximum resident set size: 4608 pages
% 16.40/9.72 % E exiting
%------------------------------------------------------------------------------