%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG057+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:51:04 AM UTC 2026
% Result : Theorem 3.87s 0.99s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(ax4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(co1,conjecture,
~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(c_0_7,plain,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_8,plain,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_9,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_10,plain,
e4 = op(e2,e2),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_11,plain,
e3 = op(e2,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_12,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
op(e4,e4) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_14,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_15,plain,
op(e2,e4) = e3,
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
fof(c_0_16,negated_conjecture,
~ ~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_17,plain,
( epred8_0
<=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_18,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_19,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_20,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
op(e3,e1) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
op(e3,e4) = e1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_10]),c_0_15]),c_0_10]) ).
fof(c_0_23,negated_conjecture,
~ ~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| epred8_0 )
& ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16]),c_0_17]) ).
cnf(c_0_24,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_25,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_26,plain,
op(e3,e1) != e1,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,negated_conjecture,
( ( epred8_0
| op(op(e4,e4),e4) != e4 )
& ( epred8_0
| op(op(e4,e4),e4) = e4 )
& ( epred8_0
| op(e4,e4) != op(e4,e4) )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e0,e4)) = e0
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e0,op(e0,e4)) != e4
| op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) != e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e3,op(e0,e3)) = e0
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4 )
& ( op(e0,op(e0,e3)) != e3
| op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e4,op(e4,e3)) != e3 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e2,op(e0,e2)) = e0
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4 )
& ( op(e0,op(e0,e2)) != e2
| op(e1,op(e1,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e1,op(e0,e1)) = e0
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4 )
& ( op(e0,op(e0,e1)) != e1
| op(e1,op(e1,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e1,e0)) = e1
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4 )
& ( op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_28,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
cnf(c_0_29,plain,
op(e4,unit) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_30,plain,
( unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( unit = e0
| unit = e2
| op(e4,e1) = e4 ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_36,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_37,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_39,negated_conjecture,
( op(e4,op(e4,e4)) != e4
| op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,negated_conjecture,
( op(e4,e3) = e2
| op(e4,e1) = e3
| op(e4,e0) = e4
| op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_15]),c_0_22]),c_0_13]) ).
cnf(c_0_41,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_42,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_46,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,plain,
op(unit,e4) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_50,plain,
( op(e4,e0) != e4
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_51,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[c_0_35,c_0_20]) ).
cnf(c_0_52,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53,plain,
( unit = e0
| unit = e2
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_54,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_55,plain,
op(e0,e4) != e3,
inference(rw,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_56,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_57,plain,
( unit = e0
| unit = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_58,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_59,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_60,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_61,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_62,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_63,plain,
( epred7_0
<=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_64,negated_conjecture,
( op(e4,e3) = e2
| op(e4,e1) = e3
| op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_15]),c_0_22]),c_0_13]),c_0_40]) ).
cnf(c_0_65,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_15]),c_0_22]),c_0_13]),c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_66,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_67,plain,
( op(e0,e4) = e2
| op(e1,e4) = 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_45,c_0_15]),c_0_22]),c_0_13]),c_0_46]),c_0_47]),c_0_48]) ).
cnf(c_0_68,plain,
( unit = e0
| unit = e2
| op(e1,e4) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_30]) ).
cnf(c_0_69,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_70,plain,
op(e4,e2) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_71,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_72,plain,
( unit = e0
| unit = e2
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_73,plain,
( op(e0,e3) != e3
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_74,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_75,plain,
( op(e0,e1) != e3
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_76,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_77,plain,
( unit = e0
| unit = e2
| op(e1,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_78,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_10]),c_0_15]),c_0_44]),c_0_59]) ).
cnf(c_0_79,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_10]),c_0_15]),c_0_43]),c_0_61]) ).
cnf(c_0_80,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_81,plain,
( unit = e0
| unit = e2
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_82,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_83,plain,
( unit = e0
| unit = e2
| op(e0,e1) = e0 ),
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
fof(c_0_84,plain,
( epred8_0
=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| epred7_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_17]),c_0_63]) ).
cnf(c_0_85,plain,
op(e2,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_86,negated_conjecture,
( op(e4,e3) = e2
| op(e4,e1) = e3
| op(e0,e4) = e4
| op(e4,op(e0,e4)) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_13]),c_0_66]) ).
cnf(c_0_87,plain,
( unit = e2
| unit = e0
| op(e0,e4) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_88,plain,
op(e4,e2) != e0,
inference(rw,[status(thm)],[c_0_70,c_0_13]) ).
cnf(c_0_89,plain,
( op(e0,e0) != e3
| unit = e2
| unit = e0
| op(e4,e0) = e1
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_90,plain,
( unit = e0
| unit = e2
| op(e0,e0) = e3
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_91,plain,
( op(e2,e1) != e1
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_92,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e0) = e1
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_66]) ).
cnf(c_0_93,plain,
( op(e2,e0) != e0
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_94,plain,
( op(e2,e1) != e0
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
fof(c_0_95,plain,
( ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e4) != e2
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(op(e4,e2),e2) = e4
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e4) != e1
| op(e2,e4) != op(e4,e2)
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e4) != e2
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(op(e4,e1),e1) = e4
| op(e2,e4) != op(e4,e2)
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e4) != e2
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e2) = e4
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e2),e2) = e4
| op(e3,e4) != op(e4,e3) )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e3) = e4 )
& ( ~ epred8_0
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(e3,e4) != op(e4,e3) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])]) ).
cnf(c_0_96,negated_conjecture,
( $false
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_97,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_98,plain,
op(e4,e2) != e4,
inference(rw,[status(thm)],[c_0_85,c_0_10]) ).
cnf(c_0_99,plain,
op(e4,e0) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_100,negated_conjecture,
( unit = e0
| unit = e2
| op(e4,e1) = e3
| op(e4,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_69]) ).
cnf(c_0_101,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_102,plain,
( unit = e0
| unit = e2
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_103,plain,
( unit = e0
| unit = e2
| op(e2,e0) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]) ).
cnf(c_0_104,plain,
( ~ epred8_0
| op(e1,e4) != op(e4,e1)
| op(op(e4,e3),e4) != e3
| epred7_0
| op(op(e4,e2),e2) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_105,negated_conjecture,
epred8_0,
inference(cn,[status(thm)],[c_0_96]) ).
cnf(c_0_106,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
( op(e4,e0) != e2
| unit = e2
| unit = e0
| op(e4,e1) = e3 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,plain,
( unit = e2
| unit = e0
| op(e0,e2) = e3
| op(e4,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_109,plain,
( op(op(e4,e3),e4) != e3
| op(e4,e1) != op(e1,e4)
| epred7_0
| op(op(e4,e2),e2) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_110,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_111,plain,
( op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[c_0_106,c_0_88]) ).
cnf(c_0_112,negated_conjecture,
( unit = e0
| unit = e2
| op(e4,e1) = e3
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,plain,
( op(op(e4,e3),e4) != e3
| epred7_0
| unit = e2
| unit = e0
| op(op(e4,e2),e2) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_34]),c_0_68]) ).
cnf(c_0_114,plain,
( op(e0,e2) != e3
| op(e4,e2) = e2
| op(e4,e2) = e1 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
( unit = e2
| unit = e0
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_112]),c_0_42]) ).
cnf(c_0_116,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_117,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_118,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_119,negated_conjecture,
( epred7_0
| unit = e0
| unit = e2
| op(e4,e1) = e3
| op(op(e4,e2),e2) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_100]),c_0_15])]) ).
cnf(c_0_120,negated_conjecture,
( unit = e0
| unit = e2
| op(e4,e2) = e1
| op(e4,e2) = e2 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,plain,
op(e1,e2) != e4,
inference(rw,[status(thm)],[c_0_116,c_0_10]) ).
cnf(c_0_122,negated_conjecture,
( op(e4,e2) != e2
| unit = e2
| unit = e0
| op(e4,e1) = e3 ),
inference(spm,[status(thm)],[c_0_117,c_0_100]) ).
cnf(c_0_123,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_124,plain,
op(e4,e3) != e0,
inference(rw,[status(thm)],[c_0_118,c_0_13]) ).
cnf(c_0_125,negated_conjecture,
( epred7_0
| unit = e2
| unit = e0
| op(e4,e1) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]) ).
cnf(c_0_126,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(sr,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( epred7_0
| unit = e2
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_125]),c_0_42]) ).
cnf(c_0_128,plain,
( op(e4,e0) != e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(spm,[status(thm)],[c_0_99,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( epred7_0
| unit = e2
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_29,c_0_127]) ).
cnf(c_0_130,plain,
op(e0,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_131,negated_conjecture,
( epred7_0
| unit = e2
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,negated_conjecture,
( epred7_0
| unit = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_127]) ).
cnf(c_0_133,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_134,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_135,plain,
op(e2,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_136,negated_conjecture,
( epred7_0
| unit = e2
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( epred7_0
| unit = e2
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_127]) ).
cnf(c_0_138,negated_conjecture,
( epred7_0
| unit = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_127]) ).
cnf(c_0_139,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_140,plain,
op(e2,e1) != e4,
inference(rw,[status(thm)],[c_0_134,c_0_10]) ).
cnf(c_0_141,negated_conjecture,
( op(e2,e3) != e1
| epred7_0
| unit = e2
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_142,negated_conjecture,
( op(e2,e1) != e1
| epred7_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_82,c_0_137]) ).
cnf(c_0_143,negated_conjecture,
( op(e2,e0) != e1
| epred7_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_80,c_0_138]) ).
cnf(c_0_144,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(sr,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_146,negated_conjecture,
( epred7_0
| unit = e2
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_127]) ).
cnf(c_0_147,plain,
op(e3,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_148,negated_conjecture,
( epred7_0
| unit = e2
| op(e4,e3) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_79]),c_0_142]),c_0_143]) ).
cnf(c_0_149,plain,
( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_150,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_151,plain,
( op(e4,e0) != e4
| op(e0,e1) = e4
| op(e1,e1) = e4
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[c_0_33,c_0_144]) ).
cnf(c_0_152,negated_conjecture,
( op(e0,e1) != e4
| epred7_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_153,negated_conjecture,
( op(e3,e3) != e2
| epred7_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_22]),c_0_47]) ).
cnf(c_0_155,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_156,plain,
op(e1,e4) != e3,
inference(rw,[status(thm)],[c_0_150,c_0_15]) ).
cnf(c_0_157,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e1) = e4
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_129]),c_0_152]) ).
cnf(c_0_158,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_160,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_161,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_38,c_0_127]) ).
cnf(c_0_162,negated_conjecture,
( epred7_0
| unit = e2
| op(e1,e1) = e4
| op(e3,e2) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_69]) ).
cnf(c_0_163,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_164,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_165,plain,
op(e1,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_166,plain,
op(e1,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_167,plain,
( op(e0,e3) != e3
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_52,c_0_159]) ).
cnf(c_0_168,negated_conjecture,
( op(e1,e0) != e3
| epred7_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_170,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e2) = e2
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_46]) ).
cnf(c_0_171,negated_conjecture,
( epred7_0
| unit = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_163,c_0_127]) ).
cnf(c_0_172,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(sr,[status(thm)],[c_0_164,c_0_156]) ).
cnf(c_0_173,plain,
op(e1,e4) != e0,
inference(rw,[status(thm)],[c_0_165,c_0_13]) ).
cnf(c_0_174,plain,
op(e1,e4) != e1,
inference(rw,[status(thm)],[c_0_166,c_0_22]) ).
cnf(c_0_175,plain,
op(e1,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_176,negated_conjecture,
( epred7_0
| unit = e2
| op(e1,e2) = e3
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_132]),c_0_168]) ).
cnf(c_0_177,negated_conjecture,
( epred7_0
| unit = e2
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).
cnf(c_0_178,plain,
op(e0,e4) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_179,plain,
( op(e1,e4) = e4
| op(e1,e4) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_180,plain,
( ~ epred8_0
| op(op(e4,e2),e4) != e2
| op(op(e4,e3),e4) != e3
| epred7_0
| op(op(e4,e1),e1) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_181,plain,
( op(e1,e2) != e3
| op(e4,e2) = e2
| op(e4,e2) = e1 ),
inference(spm,[status(thm)],[c_0_175,c_0_111]) ).
cnf(c_0_182,negated_conjecture,
( epred7_0
| unit = e2
| op(e1,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_42]) ).
cnf(c_0_183,negated_conjecture,
( op(e4,e2) != e2
| epred7_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_117,c_0_148]) ).
cnf(c_0_184,plain,
( op(e0,e4) != e4
| op(e1,e4) = e2 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_185,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_186,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_187,plain,
( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| epred7_0
| op(op(e4,e1),e1) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_105])]) ).
cnf(c_0_188,negated_conjecture,
( epred7_0
| unit = e2
| op(e4,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
cnf(c_0_189,negated_conjecture,
( epred7_0
| unit = e2
| op(e1,e4) = e2 ),
inference(spm,[status(thm)],[c_0_184,c_0_146]) ).
cnf(c_0_190,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_13]),c_0_59]) ).
cnf(c_0_191,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_192,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[c_0_186,c_0_26]) ).
cnf(c_0_193,plain,
( op(op(e4,e3),e4) != e3
| epred7_0
| unit = e2
| op(op(e4,e1),e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).
cnf(c_0_194,plain,
( op(e0,e3) != e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3 ),
inference(spm,[status(thm)],[c_0_130,c_0_190]) ).
fof(c_0_195,plain,
( epred6_0
<=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_196,plain,
( op(e1,e1) != e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_197,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_198,negated_conjecture,
( epred7_0
| unit = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_127]) ).
cnf(c_0_199,negated_conjecture,
( epred7_0
| unit = e2
| op(op(e4,e1),e1) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_148]),c_0_15])]) ).
cnf(c_0_200,negated_conjecture,
( epred7_0
| unit = e2
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_194,c_0_132]) ).
fof(c_0_201,plain,
( epred7_0
=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| epred6_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_63]),c_0_195]) ).
cnf(c_0_202,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_203,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_177]) ).
cnf(c_0_204,negated_conjecture,
( op(e2,e0) != e0
| epred7_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_205,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e1) = e4
| op(e4,e0) = e3
| op(e4,e2) = e3 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
fof(c_0_206,plain,
( ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e3) != e4
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(op(e3,e4),e4) = e3
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) != e3
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e3) != e4
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e4) = e3
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e3) != e4
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e3) != e4
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(op(e3,e4),e4) = e3
| op(e0,e4) != op(e4,e0) )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e4) != e0 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(e4,e3) != op(e3,e4)
| op(op(e4,e0),e0) = e4 )
& ( ~ epred7_0
| epred6_0
| op(e3,e3) != op(e3,e3)
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_201])])]) ).
cnf(c_0_207,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_208,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_161]) ).
cnf(c_0_209,negated_conjecture,
( epred7_0
| unit = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_92]),c_0_204]),c_0_143]) ).
cnf(c_0_210,negated_conjecture,
( epred7_0
| unit = e2
| op(e4,e2) = e3
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_205]),c_0_42]) ).
cnf(c_0_211,plain,
( ~ epred7_0
| $false
| epred6_0
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_212,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).
cnf(c_0_213,negated_conjecture,
( epred7_0
| unit = e2
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_210]),c_0_61]) ).
cnf(c_0_214,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_215,plain,
( ~ epred7_0
| epred6_0
| op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3 ),
inference(cn,[status(thm)],[c_0_211]) ).
cnf(c_0_216,negated_conjecture,
( epred7_0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_69]) ).
cnf(c_0_217,plain,
( op(e1,e3) != e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3 ),
inference(spm,[status(thm)],[c_0_214,c_0_190]) ).
cnf(c_0_218,plain,
( ~ epred7_0
| epred6_0
| op(op(e4,e0),e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_22]),c_0_156]) ).
cnf(c_0_219,negated_conjecture,
epred7_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_216]),c_0_98]) ).
cnf(c_0_220,plain,
( unit = e2
| unit = e0
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_217,c_0_53]) ).
cnf(c_0_221,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_222,plain,
( epred6_0
| op(op(e4,e0),e0) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219])]) ).
cnf(c_0_223,plain,
( unit = e2
| unit = e0
| op(e4,e0) = e3
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_220]),c_0_42]) ).
cnf(c_0_224,plain,
op(e0,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_225,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_226,plain,
op(e0,e2) != e4,
inference(rw,[status(thm)],[c_0_221,c_0_10]) ).
cnf(c_0_227,plain,
op(e0,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_228,plain,
( epred6_0
| unit = e0
| unit = e2
| op(e3,e0) = e4
| op(e4,e2) = e3 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_229,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_230,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_224,c_0_22]) ).
cnf(c_0_231,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_232,plain,
( op(e0,e1) != e4
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_227,c_0_34]) ).
cnf(c_0_233,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_234,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_235,negated_conjecture,
( epred6_0
| unit = e2
| unit = e0
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_228]),c_0_46]),c_0_61]) ).
cnf(c_0_236,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_237,plain,
( unit = e0
| unit = e2
| op(e0,e0) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_87]),c_0_69]),c_0_232]) ).
cnf(c_0_238,plain,
( op(e0,e1) != e1
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_233,c_0_77]) ).
cnf(c_0_239,plain,
( ~ epred7_0
| op(op(e3,e3),e3) != e3
| op(op(e4,e0),e4) != e0
| epred6_0
| op(op(e3,e4),e4) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_240,negated_conjecture,
( op(e0,e0) != e4
| epred6_0
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_241,plain,
( unit = e2
| unit = e0
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e0,e0) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_43]),c_0_238]) ).
cnf(c_0_242,plain,
( ~ epred7_0
| op(op(e4,e0),e4) != e0
| epred6_0
| op(op(e3,e3),e3) = e3
| op(op(e3,e4),e4) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_243,plain,
( ~ epred7_0
| op(op(e4,e0),e4) != e0
| op(op(e3,e3),e3) != e3
| epred6_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_22]),c_0_156]) ).
cnf(c_0_244,negated_conjecture,
( epred6_0
| unit = e2
| unit = e0
| op(e0,e0) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_245,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_246,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_247,plain,
( ~ epred7_0
| op(op(e4,e0),e4) != e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_22]),c_0_156]),c_0_243]) ).
cnf(c_0_248,negated_conjecture,
( epred6_0
| unit = e0
| unit = e2
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_244]),c_0_103]) ).
cnf(c_0_249,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_250,plain,
op(e2,e3) != e3,
inference(rw,[status(thm)],[c_0_245,c_0_15]) ).
cnf(c_0_251,plain,
op(e2,e3) != e4,
inference(rw,[status(thm)],[c_0_246,c_0_10]) ).
fof(c_0_252,plain,
( epred5_0
<=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_253,plain,
( op(op(e4,e0),e4) != e0
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_219])]) ).
cnf(c_0_254,negated_conjecture,
( epred6_0
| unit = e0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_248]),c_0_61]) ).
cnf(c_0_255,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_256,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_257,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
cnf(c_0_258,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_259,plain,
( epred6_0
=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| epred5_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_195]),c_0_252]) ).
cnf(c_0_260,plain,
( epred6_0
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_51]),c_0_13])]) ).
cnf(c_0_261,negated_conjecture,
( epred6_0
| unit = e2
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_29,c_0_254]) ).
cnf(c_0_262,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_263,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_22]),c_0_66]) ).
cnf(c_0_264,plain,
( op(e2,e0) != e1
| op(e2,e3) = e0
| op(e2,e3) = e2 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_265,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_266,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(sr,[status(thm)],[c_0_258,c_0_251]) ).
cnf(c_0_267,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_268,plain,
( ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(op(e3,e1),e1) = e3
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e3) != e0
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(op(e3,e0),e0) = e3
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e1) = e3
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e1) = e3
| op(e2,e3) != op(e3,e2) )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e3) != e2 )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e2),e2) = e3 )
& ( ~ epred6_0
| epred5_0
| op(e0,e3) != op(e3,e0)
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_259])])]) ).
cnf(c_0_269,plain,
( epred6_0
| unit = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_43]),c_0_69]),c_0_42]) ).
cnf(c_0_270,plain,
( op(e2,e3) != e0
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_271,plain,
( unit = e2
| unit = e0
| op(e2,e3) = e2
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_264,c_0_103]) ).
cnf(c_0_272,plain,
( op(e4,e1) != e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_273,plain,
( op(e1,e3) != e4
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_267,c_0_68]) ).
cnf(c_0_274,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_275,plain,
( ~ epred6_0
| op(op(e3,e0),e3) != e0
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
cnf(c_0_276,plain,
epred6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_269]),c_0_98]) ).
cnf(c_0_277,plain,
( unit = e0
| unit = e2
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| op(e2,e3) = e2 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_278,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_279,plain,
( unit = e2
| unit = e0
| op(e3,e3) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_34]),c_0_273]) ).
cnf(c_0_280,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_281,plain,
op(e3,e0) != e1,
inference(rw,[status(thm)],[c_0_274,c_0_22]) ).
cnf(c_0_282,plain,
( op(e4,e1) != e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(spm,[status(thm)],[c_0_265,c_0_126]) ).
cnf(c_0_283,plain,
( op(op(e3,e0),e3) != e0
| op(e3,e2) != op(e2,e3)
| op(e3,e1) != op(e1,e3)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276])]) ).
cnf(c_0_284,plain,
( unit = e2
| unit = e0
| op(e2,e3) = e2
| op(e3,e0) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_277]),c_0_59]) ).
cnf(c_0_285,plain,
( op(e3,e0) != e4
| unit = e0
| unit = e2
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_286,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_287,plain,
( op(e3,e0) != e3
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_202,c_0_57]) ).
cnf(c_0_288,plain,
( unit = e2
| unit = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[c_0_282,c_0_34]) ).
cnf(c_0_289,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_290,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_291,plain,
( op(op(e3,e0),e3) != e0
| op(e3,e2) != op(e2,e3)
| epred5_0
| unit = e2
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_57]),c_0_53]) ).
cnf(c_0_292,plain,
( unit = e0
| unit = e2
| op(e3,e2) = e0
| op(e2,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_284]),c_0_81]) ).
cnf(c_0_293,plain,
( unit = e2
| unit = e0
| op(e0,e3) = e4
| op(e3,e0) = e2
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287]) ).
cnf(c_0_294,plain,
( unit = e0
| unit = e2
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_288]),c_0_53]) ).
cnf(c_0_295,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_10]),c_0_43]) ).
cnf(c_0_296,plain,
op(e3,e2) != e1,
inference(rw,[status(thm)],[c_0_290,c_0_22]) ).
cnf(c_0_297,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_298,plain,
( op(op(e3,e0),e3) != e0
| epred5_0
| unit = e0
| unit = e2
| op(e2,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_271]) ).
cnf(c_0_299,plain,
( unit = e0
| unit = e2
| op(e3,e0) = e2
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_293]),c_0_81]) ).
cnf(c_0_300,plain,
( op(e4,e2) != e1
| unit = e2
| unit = e0
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_117,c_0_294]) ).
cnf(c_0_301,plain,
( op(e4,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_302,plain,
( op(e1,e2) != e1
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_297,c_0_77]) ).
cnf(c_0_303,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_304,plain,
( epred5_0
| unit = e2
| unit = e0
| op(e2,e3) = e2
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_271]) ).
cnf(c_0_305,plain,
( unit = e0
| unit = e2
| op(e4,e3) = e2
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_302]) ).
cnf(c_0_306,plain,
( op(e0,e0) != e4
| epred5_0
| unit = e0
| unit = e2
| op(e2,e3) = e2 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_307,plain,
( op(e2,e3) != e2
| unit = e2
| unit = e0
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_135,c_0_305]) ).
cnf(c_0_308,plain,
( epred5_0
| unit = e2
| unit = e0
| op(e0,e0) = e1
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_241]),c_0_307]) ).
cnf(c_0_309,plain,
( epred5_0
| unit = e0
| unit = e2
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_308]),c_0_103]) ).
cnf(c_0_310,negated_conjecture,
( epred5_0
| unit = e0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_309]),c_0_61]) ).
cnf(c_0_311,negated_conjecture,
( epred5_0
| unit = e2
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_29,c_0_310]) ).
cnf(c_0_312,negated_conjecture,
( epred5_0
| unit = e2
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[c_0_128,c_0_311]) ).
cnf(c_0_313,negated_conjecture,
( epred5_0
| unit = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_310]) ).
cnf(c_0_314,negated_conjecture,
( epred5_0
| unit = e2
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_312]),c_0_313]) ).
cnf(c_0_315,negated_conjecture,
( epred5_0
| unit = e2
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_310]) ).
cnf(c_0_316,negated_conjecture,
( epred5_0
| unit = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_310]) ).
cnf(c_0_317,negated_conjecture,
( op(e2,e3) != e1
| epred5_0
| unit = e2
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_135,c_0_314]) ).
cnf(c_0_318,negated_conjecture,
( op(e2,e1) != e1
| epred5_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_82,c_0_315]) ).
cnf(c_0_319,negated_conjecture,
( op(e2,e0) != e1
| epred5_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_80,c_0_316]) ).
cnf(c_0_320,negated_conjecture,
( epred5_0
| unit = e2
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_310]) ).
cnf(c_0_321,negated_conjecture,
( epred5_0
| unit = e2
| op(e4,e3) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_79]),c_0_318]),c_0_319]) ).
cnf(c_0_322,negated_conjecture,
( op(e0,e1) != e4
| epred5_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_145,c_0_320]) ).
cnf(c_0_323,negated_conjecture,
( op(e3,e3) != e2
| epred5_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_147,c_0_321]) ).
cnf(c_0_324,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e1) = e4
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_311]),c_0_322]) ).
cnf(c_0_325,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_323,c_0_154]) ).
cnf(c_0_326,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_38,c_0_310]) ).
cnf(c_0_327,negated_conjecture,
( epred5_0
| unit = e2
| op(e1,e1) = e4
| op(e3,e2) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_69]) ).
cnf(c_0_328,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_329,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e2) = e2
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_46]) ).
cnf(c_0_330,negated_conjecture,
( epred5_0
| unit = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_163,c_0_310]) ).
cnf(c_0_331,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_332,plain,
op(e3,e3) != e1,
inference(rw,[status(thm)],[c_0_328,c_0_22]) ).
cnf(c_0_333,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_334,negated_conjecture,
( epred5_0
| unit = e2
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_329]),c_0_330]) ).
cnf(c_0_335,negated_conjecture,
( epred5_0
| unit = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_310]) ).
cnf(c_0_336,plain,
( op(e4,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_337,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_338,plain,
op(e3,e2) != e4,
inference(rw,[status(thm)],[c_0_333,c_0_10]) ).
cnf(c_0_339,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_334]) ).
cnf(c_0_340,negated_conjecture,
( op(e2,e0) != e0
| epred5_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_197,c_0_335]) ).
fof(c_0_341,plain,
( epred4_0
<=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_342,plain,
( ~ epred6_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| epred5_0
| op(op(e3,e2),e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
cnf(c_0_343,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_344,negated_conjecture,
( epred5_0
| unit = e2
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_321]),c_0_47]) ).
cnf(c_0_345,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_22]),c_0_338]),c_0_43]) ).
cnf(c_0_346,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_339]),c_0_326]) ).
cnf(c_0_347,negated_conjecture,
( epred5_0
| unit = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_92]),c_0_340]),c_0_319]) ).
cnf(c_0_348,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_349,plain,
( epred5_0
=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| epred4_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_252]),c_0_341]) ).
cnf(c_0_350,plain,
( op(op(e3,e1),e3) != e1
| op(e3,e0) != op(e0,e3)
| epred5_0
| op(op(e3,e2),e2) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_276])]) ).
cnf(c_0_351,negated_conjecture,
( epred5_0
| unit = e2
| op(e0,e3) = e1
| op(e2,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_316]) ).
cnf(c_0_352,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_263]),c_0_44]) ).
cnf(c_0_353,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_346]),c_0_347]) ).
cnf(c_0_354,negated_conjecture,
( op(e3,e0) != e4
| epred5_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_348,c_0_311]) ).
fof(c_0_355,plain,
( ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e2) != e3
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(op(e2,e3),e3) = e2
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) != e2
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e2) != e3
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(op(e2,e3),e3) = e2
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(op(e2,e2),e2) = e2
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e2) != e3
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e2) != e3
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(op(e2,e3),e3) = e2
| op(e4,e2) != op(e2,e4) )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e4) = e2 )
& ( ~ epred5_0
| epred4_0
| op(e2,e2) != op(e2,e2)
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_349])])]) ).
cnf(c_0_356,plain,
( op(op(e3,e1),e3) != e1
| epred5_0
| unit = e2
| op(op(e3,e2),e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_326]),c_0_313]) ).
cnf(c_0_357,negated_conjecture,
( epred5_0
| unit = e2
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_351]),c_0_61]) ).
cnf(c_0_358,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e2) = e0
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_48]),c_0_69]),c_0_354]) ).
cnf(c_0_359,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_360,plain,
( ~ epred5_0
| $false
| epred4_0
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_355]) ).
cnf(c_0_361,negated_conjecture,
( epred5_0
| unit = e2
| op(op(e3,e2),e2) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_353]),c_0_357]) ).
cnf(c_0_362,negated_conjecture,
( epred5_0
| unit = e2
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_358]),c_0_59]) ).
cnf(c_0_363,negated_conjecture,
( op(e0,e2) != e3
| epred5_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_359,c_0_313]) ).
cnf(c_0_364,plain,
( ~ epred5_0
| epred4_0
| op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2 ),
inference(cn,[status(thm)],[c_0_360]) ).
cnf(c_0_365,negated_conjecture,
( epred5_0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]) ).
cnf(c_0_366,plain,
( ~ epred5_0
| epred4_0
| op(op(e2,e3),e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_15]),c_0_22]),c_0_47]) ).
cnf(c_0_367,negated_conjecture,
epred5_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_365]),c_0_98]) ).
cnf(c_0_368,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_369,plain,
( epred4_0
| op(op(e2,e3),e3) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_366,c_0_367])]) ).
cnf(c_0_370,plain,
( op(e0,e3) != e2
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_368,c_0_87]) ).
cnf(c_0_371,plain,
( epred4_0
| unit = e0
| unit = e2
| op(e2,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_271]),c_0_370]) ).
cnf(c_0_372,plain,
( epred4_0
| unit = e0
| unit = e2
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_307,c_0_371]) ).
cnf(c_0_373,negated_conjecture,
( epred4_0
| unit = e0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_372]),c_0_61]) ).
cnf(c_0_374,negated_conjecture,
( epred4_0
| unit = e2
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_373]) ).
fof(c_0_375,plain,
( epred3_0
<=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_376,negated_conjecture,
( epred4_0
| unit = e2
| op(e1,e4) = e2 ),
inference(spm,[status(thm)],[c_0_184,c_0_374]) ).
cnf(c_0_377,negated_conjecture,
( epred4_0
| unit = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_373]) ).
cnf(c_0_378,negated_conjecture,
( epred4_0
| unit = e2
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_373]) ).
fof(c_0_379,plain,
( epred4_0
=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_341]),c_0_375]) ).
cnf(c_0_380,negated_conjecture,
( op(e1,e3) != e2
| epred4_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_267,c_0_376]) ).
cnf(c_0_381,plain,
( epred4_0
| op(e1,e3) = e2
| op(e2,e0) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_369,c_0_79]) ).
cnf(c_0_382,negated_conjecture,
( op(e2,e0) != e1
| epred4_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_80,c_0_377]) ).
cnf(c_0_383,negated_conjecture,
( op(e2,e1) != e1
| epred4_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_82,c_0_378]) ).
fof(c_0_384,plain,
( ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e2) != e0
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(op(e2,e0),e0) = e2
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e1) != e4
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e2) != e0
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e0),e0) = e2
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(op(e1,e4),e4) = e1
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e2) != e0
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e2) != e0
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e0) = e2
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(op(e2,e0),e0) = e2
| op(e1,e2) != op(e2,e1) )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e2) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e1) = e2 )
& ( ~ epred4_0
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_379])])]) ).
cnf(c_0_385,plain,
( epred4_0
| unit = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_382]),c_0_383]) ).
cnf(c_0_386,plain,
( ~ epred4_0
| op(e4,e1) != op(e1,e4)
| op(e1,e2) != op(e2,e1)
| epred3_0
| op(op(e2,e0),e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_384]) ).
cnf(c_0_387,plain,
epred4_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_385]),c_0_98]) ).
cnf(c_0_388,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_389,plain,
( op(e4,e1) != op(e1,e4)
| op(e1,e2) != op(e2,e1)
| epred3_0
| op(op(e2,e0),e0) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_387])]) ).
cnf(c_0_390,plain,
( unit = e0
| unit = e2
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_163,c_0_30]) ).
cnf(c_0_391,plain,
( unit = e0
| unit = e2
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_388,c_0_30]) ).
cnf(c_0_392,plain,
( op(e4,e1) != op(e1,e4)
| epred3_0
| unit = e2
| unit = e0
| op(op(e2,e0),e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_391]) ).
cnf(c_0_393,plain,
( epred3_0
| unit = e0
| unit = e2
| op(op(e2,e0),e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_34]),c_0_68]) ).
cnf(c_0_394,plain,
( epred3_0
| unit = e2
| unit = e0
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_393,c_0_103]) ).
cnf(c_0_395,plain,
( epred3_0
| unit = e2
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_394]),c_0_48]) ).
cnf(c_0_396,plain,
( epred3_0
| unit = e2
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_29,c_0_395]) ).
cnf(c_0_397,plain,
( epred3_0
| unit = e2
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[c_0_128,c_0_396]) ).
cnf(c_0_398,plain,
( epred3_0
| unit = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_395]) ).
cnf(c_0_399,plain,
( epred3_0
| unit = e2
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_397]),c_0_398]) ).
cnf(c_0_400,plain,
( epred3_0
| unit = e2
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_395]) ).
cnf(c_0_401,plain,
( epred3_0
| unit = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_395]) ).
cnf(c_0_402,plain,
( op(e2,e3) != e1
| epred3_0
| unit = e2
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_135,c_0_399]) ).
cnf(c_0_403,plain,
( op(e2,e1) != e1
| epred3_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_82,c_0_400]) ).
cnf(c_0_404,plain,
( op(e2,e0) != e1
| epred3_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_80,c_0_401]) ).
cnf(c_0_405,plain,
( epred3_0
| unit = e2
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_395]) ).
cnf(c_0_406,plain,
( epred3_0
| unit = e2
| op(e4,e3) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_79]),c_0_403]),c_0_404]) ).
cnf(c_0_407,plain,
( op(e0,e1) != e4
| epred3_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_145,c_0_405]) ).
cnf(c_0_408,plain,
( op(e3,e3) != e2
| epred3_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_147,c_0_406]) ).
cnf(c_0_409,plain,
( epred3_0
| unit = e2
| op(e3,e1) = e4
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_396]),c_0_407]) ).
cnf(c_0_410,plain,
( epred3_0
| unit = e2
| op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_408,c_0_154]) ).
cnf(c_0_411,plain,
( epred3_0
| unit = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_38,c_0_395]) ).
cnf(c_0_412,plain,
( epred3_0
| unit = e2
| op(e1,e1) = e4
| op(e3,e2) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_69]) ).
cnf(c_0_413,plain,
( epred3_0
| unit = e2
| op(e3,e2) = e2
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_46]) ).
cnf(c_0_414,plain,
( epred3_0
| unit = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_163,c_0_395]) ).
cnf(c_0_415,plain,
( epred3_0
| unit = e2
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_413]),c_0_414]) ).
cnf(c_0_416,plain,
( epred3_0
| unit = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_395]) ).
cnf(c_0_417,plain,
( ~ epred4_0
| op(e0,e2) != op(e2,e0)
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e1),e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_384]) ).
cnf(c_0_418,plain,
( epred3_0
| unit = e2
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_415]) ).
cnf(c_0_419,plain,
( op(e2,e0) != e0
| epred3_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_197,c_0_416]) ).
fof(c_0_420,plain,
( epred2_0
<=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_421,plain,
( op(e0,e2) != op(e2,e0)
| epred3_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e1),e1) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_417,c_0_387])]) ).
cnf(c_0_422,plain,
( epred3_0
| unit = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_388,c_0_395]) ).
cnf(c_0_423,plain,
( epred3_0
| unit = e2
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_418]),c_0_411]) ).
cnf(c_0_424,plain,
( epred3_0
| unit = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_92]),c_0_419]),c_0_404]) ).
fof(c_0_425,plain,
( epred3_0
=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_375]),c_0_420]) ).
cnf(c_0_426,plain,
( epred3_0
| unit = e2
| op(op(e2,e1),e1) = e2
| op(op(e1,e4),e4) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_414]),c_0_422]) ).
cnf(c_0_427,plain,
( epred3_0
| unit = e2
| op(e1,e4) = e2 ),
inference(spm,[status(thm)],[c_0_184,c_0_405]) ).
cnf(c_0_428,plain,
( epred3_0
| unit = e2
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_423]),c_0_424]) ).
fof(c_0_429,plain,
( ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e1) != e2
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(op(e1,e2),e2) = e1
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) != e1
| op(e2,e1) != op(e1,e2)
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e1) != e2
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(op(e1,e2),e2) = e1
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(op(e1,e1),e1) = e1
| op(e2,e1) != op(e1,e2)
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e1) != e2
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e1) != e2
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(op(e1,e2),e2) = e1
| op(e3,e1) != op(e1,e3) )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e1) != e3 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e3),e3) = e1 )
& ( ~ epred3_0
| epred2_0
| op(e1,e1) != op(e1,e1)
| op(e2,e1) != op(e1,e2)
| op(e3,e1) != op(e1,e3) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_425])])]) ).
cnf(c_0_430,plain,
( epred3_0
| unit = e2
| op(op(e2,e1),e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_15]),c_0_61]) ).
cnf(c_0_431,plain,
( op(e0,e1) != e2
| epred3_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_56,c_0_428]) ).
cnf(c_0_432,plain,
( ~ epred3_0
| $false
| op(e2,e1) != op(e1,e2)
| op(e3,e1) != op(e1,e3)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_429]) ).
cnf(c_0_433,plain,
( epred3_0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_424]),c_0_431]) ).
cnf(c_0_434,plain,
( ~ epred3_0
| op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| epred2_0 ),
inference(cn,[status(thm)],[c_0_432]) ).
cnf(c_0_435,plain,
epred3_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_433]),c_0_98]) ).
cnf(c_0_436,plain,
( op(e3,e1) != op(e1,e3)
| op(e1,e2) != op(e2,e1)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_435])]) ).
cnf(c_0_437,plain,
( op(e3,e1) != op(e1,e3)
| epred2_0
| unit = e2
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_390]),c_0_391]) ).
cnf(c_0_438,plain,
( epred2_0
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_57]),c_0_53]) ).
cnf(c_0_439,plain,
( epred2_0
| unit = e2
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_29,c_0_438]) ).
cnf(c_0_440,plain,
( epred2_0
| unit = e2
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[c_0_128,c_0_439]) ).
cnf(c_0_441,plain,
( epred2_0
| unit = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_438]) ).
cnf(c_0_442,plain,
( epred2_0
| unit = e2
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_440]),c_0_441]) ).
cnf(c_0_443,plain,
( epred2_0
| unit = e2
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_438]) ).
cnf(c_0_444,plain,
( epred2_0
| unit = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_438]) ).
cnf(c_0_445,plain,
( op(e2,e3) != e1
| epred2_0
| unit = e2
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_135,c_0_442]) ).
cnf(c_0_446,plain,
( op(e2,e1) != e1
| epred2_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_82,c_0_443]) ).
cnf(c_0_447,plain,
( op(e2,e0) != e1
| epred2_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_80,c_0_444]) ).
cnf(c_0_448,plain,
( epred2_0
| unit = e2
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_438]) ).
cnf(c_0_449,plain,
( epred2_0
| unit = e2
| op(e4,e3) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_79]),c_0_446]),c_0_447]) ).
cnf(c_0_450,plain,
( op(e0,e1) != e4
| epred2_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_145,c_0_448]) ).
cnf(c_0_451,plain,
( op(e3,e3) != e2
| epred2_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_147,c_0_449]) ).
cnf(c_0_452,plain,
( epred2_0
| unit = e2
| op(e3,e1) = e4
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_439]),c_0_450]) ).
cnf(c_0_453,plain,
( epred2_0
| unit = e2
| op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_451,c_0_154]) ).
cnf(c_0_454,plain,
( epred2_0
| unit = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_38,c_0_438]) ).
cnf(c_0_455,plain,
( epred2_0
| unit = e2
| op(e1,e1) = e4
| op(e3,e2) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_69]) ).
cnf(c_0_456,plain,
( epred2_0
| unit = e2
| op(e3,e2) = e2
| op(e1,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_46]) ).
cnf(c_0_457,plain,
( epred2_0
| unit = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_163,c_0_438]) ).
cnf(c_0_458,plain,
( epred2_0
| unit = e2
| op(e1,e1) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_456]),c_0_457]) ).
cnf(c_0_459,plain,
( epred2_0
| unit = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_438]) ).
cnf(c_0_460,plain,
( epred2_0
| unit = e2
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_458]) ).
cnf(c_0_461,plain,
( op(e2,e0) != e0
| epred2_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_197,c_0_459]) ).
cnf(c_0_462,plain,
( ~ epred3_0
| $false
| op(op(e1,e2),e1) != e2
| epred2_0
| op(op(e1,e3),e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_429]) ).
cnf(c_0_463,plain,
( op(e1,e0) != e3
| epred2_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_160,c_0_454]) ).
cnf(c_0_464,plain,
( epred2_0
| unit = e2
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_460]),c_0_454]) ).
cnf(c_0_465,plain,
( epred2_0
| unit = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_92]),c_0_461]),c_0_447]) ).
cnf(c_0_466,plain,
( ~ epred3_0
| op(op(e1,e2),e1) != e2
| epred2_0
| op(op(e1,e3),e3) = e1 ),
inference(cn,[status(thm)],[c_0_462]) ).
cnf(c_0_467,plain,
( epred2_0
| unit = e2
| op(e1,e2) = e3
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_441]),c_0_463]) ).
cnf(c_0_468,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_469,plain,
( epred2_0
| unit = e2
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_464]),c_0_465]) ).
cnf(c_0_470,plain,
( op(e3,e0) != e4
| epred2_0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_348,c_0_439]) ).
cnf(c_0_471,plain,
( op(op(e1,e2),e1) != e2
| epred2_0
| op(op(e1,e3),e3) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_435])]) ).
cnf(c_0_472,plain,
( epred2_0
| unit = e2
| op(e1,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_458]),c_0_42]) ).
cnf(c_0_473,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_474,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[c_0_468,c_0_124]) ).
cnf(c_0_475,plain,
( epred2_0
| unit = e2
| op(e3,e2) = e0
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_469]),c_0_48]),c_0_69]),c_0_470]) ).
cnf(c_0_476,plain,
( op(e3,e1) != e2
| epred2_0
| unit = e2
| op(op(e1,e3),e3) = e1 ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_477,plain,
( op(e3,e2) != e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_478,plain,
( epred2_0
| unit = e2
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_475]),c_0_59]) ).
cnf(c_0_479,plain,
( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_480,plain,
( epred2_0
| unit = e2
| op(op(e1,e3),e3) = e1 ),
inference(spm,[status(thm)],[c_0_476,c_0_469]) ).
cnf(c_0_481,plain,
( epred2_0
| unit = e2
| op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_477,c_0_478]) ).
cnf(c_0_482,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_13]),c_0_66]) ).
cnf(c_0_483,plain,
( epred2_0
| unit = e2
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_449]),c_0_47]) ).
cnf(c_0_484,plain,
( epred2_0
| unit = e2
| op(e0,e3) = e1
| op(e2,e3) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_480,c_0_481]) ).
cnf(c_0_485,negated_conjecture,
( unit = e2
| unit = e0
| op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_100]),c_0_47]) ).
fof(c_0_486,plain,
( epred1_0
<=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition) ).
cnf(c_0_487,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_488,plain,
( epred2_0
| unit = e2
| op(e0,e3) = e1
| op(e2,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_483]),c_0_444]) ).
cnf(c_0_489,plain,
( epred2_0
| unit = e2
| op(e0,e3) = e0
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_484]),c_0_61]) ).
cnf(c_0_490,negated_conjecture,
( unit = e2
| unit = e0
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_485]),c_0_42]) ).
fof(c_0_491,plain,
( epred2_0
=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| epred1_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_420]),c_0_486]) ).
cnf(c_0_492,plain,
( epred2_0
| unit = e2
| op(e2,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_443]) ).
cnf(c_0_493,plain,
( epred2_0
| unit = e2
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_489]),c_0_59]) ).
cnf(c_0_494,negated_conjecture,
( unit = e2
| unit = e0
| op(e4,e0) = e1
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_490]),c_0_43]) ).
fof(c_0_495,plain,
( ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e4) = e0
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e0) != e3
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e4) = e0
| op(e0,e1) != op(e1,e0) )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e1) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(op(e1,e0),e0) = e1 )
& ( ~ epred2_0
| epred1_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_491])])]) ).
cnf(c_0_496,plain,
( epred2_0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_66]) ).
cnf(c_0_497,negated_conjecture,
( unit = e0
| unit = e2
| op(e4,e2) = e3
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_494]),c_0_61]) ).
cnf(c_0_498,plain,
( ~ epred2_0
| epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_495]) ).
cnf(c_0_499,plain,
epred2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_496]),c_0_98]) ).
cnf(c_0_500,plain,
( op(e4,e2) != e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_117,c_0_336]) ).
cnf(c_0_501,negated_conjecture,
( unit = e2
| unit = e0
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_497]),c_0_46]),c_0_61]) ).
cnf(c_0_502,plain,
( unit = e0
| unit = e2
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_279]),c_0_44]) ).
cnf(c_0_503,plain,
( unit = e2
| unit = e0
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_305]),c_0_47]) ).
cnf(c_0_504,plain,
( epred1_0
| op(op(e0,e3),e3) = e0
| op(op(e0,e4),e4) = e0
| op(op(e1,e0),e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_498,c_0_499])]) ).
cnf(c_0_505,negated_conjecture,
( unit = e0
| unit = e2
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_506,plain,
( unit = e2
| unit = e0
| op(e0,e3) = e4
| op(e0,e3) = e0
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_502]),c_0_59]) ).
cnf(c_0_507,plain,
( unit = e2
| unit = e0
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_503]),c_0_61]) ).
cnf(c_0_508,plain,
( epred1_0
| unit = e2
| unit = e0
| op(e0,e0) = e1
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0 ),
inference(spm,[status(thm)],[c_0_504,c_0_81]) ).
cnf(c_0_509,negated_conjecture,
( unit = e2
| unit = e0
| op(e2,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_505]),c_0_61]) ).
cnf(c_0_510,plain,
( unit = e0
| unit = e2
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_507]),c_0_66]),c_0_43]) ).
cnf(c_0_511,plain,
( epred1_0
| unit = e0
| unit = e2
| op(e0,e0) = e1
| op(op(e0,e3),e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_87]),c_0_15]),c_0_59]) ).
cnf(c_0_512,negated_conjecture,
( op(e0,e0) != e1
| unit = e0
| unit = e2
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_303,c_0_509]) ).
cnf(c_0_513,negated_conjecture,
( unit = e0
| unit = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_510]),c_0_61]) ).
cnf(c_0_514,negated_conjecture,
( epred1_0
| unit = e2
| unit = e0
| op(e1,e3) = e0
| op(e2,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_509]),c_0_512]) ).
cnf(c_0_515,negated_conjecture,
( unit = e0
| unit = e2
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_513]),c_0_66]),c_0_47]) ).
cnf(c_0_516,negated_conjecture,
( epred1_0
| unit = e2
| unit = e0
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_514]),c_0_59]) ).
cnf(c_0_517,plain,
( ~ epred2_0
| op(e3,e0) != op(e0,e3)
| op(e4,e0) != op(e0,e4)
| op(e0,e1) != op(e1,e0)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_495]) ).
cnf(c_0_518,negated_conjecture,
( epred1_0
| unit = e2
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_66]) ).
cnf(c_0_519,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_520,negated_conjecture,
( unit = e0
| unit = e2
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_300,c_0_501]) ).
cnf(c_0_521,plain,
( op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| op(e1,e0) != op(e0,e1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_517,c_0_499])]) ).
cnf(c_0_522,negated_conjecture,
( epred1_0
| unit = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_518]) ).
cnf(c_0_523,negated_conjecture,
( epred1_0
| unit = e2
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_518]) ).
cnf(c_0_524,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_525,plain,
op(e2,e0) != e4,
inference(rw,[status(thm)],[c_0_519,c_0_10]) ).
cnf(c_0_526,plain,
op(e1,e0) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_527,negated_conjecture,
( op(e3,e3) != e2
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_147,c_0_520]) ).
fof(c_0_528,plain,
( epred1_0
=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
inference(split_equiv,[status(thm)],[c_0_486]) ).
cnf(c_0_529,plain,
( op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred1_0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_522]),c_0_523]) ).
cnf(c_0_530,negated_conjecture,
( epred1_0
| unit = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_38,c_0_518]) ).
cnf(c_0_531,negated_conjecture,
( epred1_0
| unit = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_518]) ).
cnf(c_0_532,negated_conjecture,
( unit = e2
| unit = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_270,c_0_515]) ).
cnf(c_0_533,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[c_0_524,c_0_525]) ).
cnf(c_0_534,plain,
( op(e1,e0) != e4
| unit = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_526,c_0_68]) ).
cnf(c_0_535,negated_conjecture,
( unit = e0
| unit = e2
| op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_527,c_0_154]) ).
fof(c_0_536,plain,
( ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e0) != e1
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(op(e0,e0),e0) != e0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e0) != e1
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(op(e0,e0),e0) = e0
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e0) != e1
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e0) != e1
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2) )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e0) != e2 )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e2) = e0 )
& ( ~ epred1_0
| op(e0,e0) != op(e0,e0)
| op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_528])])]) ).
cnf(c_0_537,negated_conjecture,
( op(e4,e0) != op(e0,e4)
| epred1_0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_531]) ).
cnf(c_0_538,negated_conjecture,
( epred1_0
| unit = e2
| op(e4,e0) = e4 ),
inference(spm,[status(thm)],[c_0_29,c_0_518]) ).
cnf(c_0_539,negated_conjecture,
( epred1_0
| unit = e2
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_49,c_0_518]) ).
cnf(c_0_540,negated_conjecture,
( unit = e2
| unit = e0
| op(e3,e0) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_532]),c_0_59]) ).
cnf(c_0_541,plain,
( unit = e0
| unit = e2
| op(e0,e0) = e4
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_533]),c_0_534]) ).
cnf(c_0_542,negated_conjecture,
( unit = e2
| unit = e0
| op(e3,e2) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_535]),c_0_46]) ).
cnf(c_0_543,plain,
( ~ epred1_0
| $false
| op(e1,e0) != op(e0,e1)
| op(op(e0,e2),e0) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_544,negated_conjecture,
( epred1_0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_538]),c_0_539]) ).
cnf(c_0_545,negated_conjecture,
( unit = e0
| unit = e2
| op(e3,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_540]),c_0_81]) ).
cnf(c_0_546,negated_conjecture,
( unit = e2
| unit = e0
| op(e0,e0) = e4
| op(e3,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_542]),c_0_69]) ).
cnf(c_0_547,plain,
( ~ epred1_0
| op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1) ),
inference(cn,[status(thm)],[c_0_543]) ).
cnf(c_0_548,negated_conjecture,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_544]),c_0_98]) ).
cnf(c_0_549,plain,
( op(e0,e0) != e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_234,c_0_286]) ).
cnf(c_0_550,negated_conjecture,
( unit = e2
| unit = e0
| op(e0,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_48]) ).
cnf(c_0_551,plain,
( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_547,c_0_548])]) ).
cnf(c_0_552,negated_conjecture,
( unit = e0
| unit = e2
| op(e3,e0) = e0
| op(e3,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_287]) ).
cnf(c_0_553,plain,
( ~ epred1_0
| $false
| op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_554,plain,
( op(op(e0,e2),e0) != e2
| unit = e2
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_81]),c_0_83]) ).
cnf(c_0_555,negated_conjecture,
( unit = e2
| unit = e0
| op(e3,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_552]),c_0_81]) ).
cnf(c_0_556,plain,
( ~ epred1_0
| op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0 ),
inference(cn,[status(thm)],[c_0_553]) ).
cnf(c_0_557,negated_conjecture,
( unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_115]),c_0_555]) ).
cnf(c_0_558,plain,
( op(op(e0,e1),e1) = e0
| op(op(e0,e2),e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_556,c_0_548])]) ).
cnf(c_0_559,negated_conjecture,
( unit = e2
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_557]) ).
cnf(c_0_560,negated_conjecture,
( unit = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_557]) ).
cnf(c_0_561,negated_conjecture,
( unit = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_133,c_0_557]) ).
cnf(c_0_562,plain,
( unit = e2
| op(e1,e1) = e0
| op(op(e0,e2),e2) = e0 ),
inference(spm,[status(thm)],[c_0_558,c_0_559]) ).
cnf(c_0_563,negated_conjecture,
( unit = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_163,c_0_557]) ).
cnf(c_0_564,negated_conjecture,
( op(e2,e1) != e1
| unit = e2 ),
inference(spm,[status(thm)],[c_0_82,c_0_559]) ).
cnf(c_0_565,negated_conjecture,
( op(e2,e0) != e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_197,c_0_560]) ).
cnf(c_0_566,negated_conjecture,
( op(e2,e0) != e1
| unit = e2 ),
inference(spm,[status(thm)],[c_0_80,c_0_561]) ).
cnf(c_0_567,negated_conjecture,
( unit = e2
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_10]),c_0_44]) ).
cnf(c_0_568,negated_conjecture,
( unit = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_92]),c_0_565]),c_0_566]) ).
cnf(c_0_569,negated_conjecture,
unit = e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_567]),c_0_568]) ).
cnf(c_0_570,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_569]),c_0_10]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG057+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 12:55:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.87/0.99 % Version: 3.5.1
% 3.87/0.99 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.87/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.87/0.99 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.87/0.99 % Starting new_bool_3 with 300s (1) cores
% 3.87/0.99 % Starting new_bool_1 with 300s (1) cores
% 3.87/0.99 % Starting sh5l with 300s (1) cores
% 3.87/0.99 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2963212 completed with status 0
% 3.87/0.99 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.87/0.99 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.87/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.87/0.99 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.87/0.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.87/0.99 % No SInE strategy applied
% 3.87/0.99 % Search class: FGHSF-FSLM22-MFFFFFNN
% 3.87/0.99 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.87/0.99 % Starting SubtermCWHack with 136s (1) cores
% 3.87/0.99 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.87/0.99 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 136s (1) cores
% 3.87/0.99 % Starting new_bool_3 with 136s (1) cores
% 3.87/0.99 % Starting new_bool_1 with 136s (1) cores
% 3.87/0.99 % H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with pid 2963226 completed with status 0
% 3.87/0.99 % Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S2S
% 3.87/0.99 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.87/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.87/0.99 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.87/0.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.87/0.99 % No SInE strategy applied
% 3.87/0.99 % Search class: FGHSF-FSLM22-MFFFFFNN
% 3.87/0.99 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.87/0.99 % Starting SubtermCWHack with 136s (1) cores
% 3.87/0.99 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.87/0.99 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 136s (1) cores
% 3.87/0.99 % Preprocessing time : 0.007 s
% 3.87/0.99 % Presaturation interreduction done
% 3.87/0.99
% 3.87/0.99 % Proof found!
% 3.87/0.99 % SZS status Theorem
% 3.87/0.99 % SZS output start CNFRefutation
% See solution above
% 3.87/1.00 % Parsed axioms : 7
% 3.87/1.00 % Removed by relevancy pruning/SinE : 0
% 3.87/1.00 % Initial clauses : 579
% 3.87/1.00 % Removed in clause preprocessing : 0
% 3.87/1.00 % Initial clauses in saturation : 579
% 3.87/1.00 % Processed clauses : 6121
% 3.87/1.00 % ...of these trivial : 23
% 3.87/1.00 % ...subsumed : 3898
% 3.87/1.00 % ...remaining for further processing : 2200
% 3.87/1.00 % Other redundant clauses eliminated : 0
% 3.87/1.00 % Clauses deleted for lack of memory : 0
% 3.87/1.00 % Backward-subsumed : 852
% 3.87/1.00 % Backward-rewritten : 326
% 3.87/1.00 % Generated clauses : 19469
% 3.87/1.00 % ...of the previous two non-redundant : 19070
% 3.87/1.00 % ...aggressively subsumed : 0
% 3.87/1.00 % Contextual simplify-reflections : 282
% 3.87/1.00 % Paramodulations : 19232
% 3.87/1.00 % Factorizations : 215
% 3.87/1.00 % NegExts : 0
% 3.87/1.00 % Equation resolutions : 0
% 3.87/1.00 % Disequality decompositions : 0
% 3.87/1.00 % Total rewrite steps : 1448
% 3.87/1.00 % ...of those cached : 1435
% 3.87/1.00 % Propositional unsat checks : 0
% 3.87/1.00 % Propositional check models : 0
% 3.87/1.00 % Propositional check unsatisfiable : 0
% 3.87/1.00 % Propositional clauses : 0
% 3.87/1.00 % Propositional clauses after purity: 0
% 3.87/1.00 % Propositional unsat core size : 0
% 3.87/1.00 % Propositional preprocessing time : 0.000
% 3.87/1.00 % Propositional encoding time : 0.000
% 3.87/1.00 % Propositional solver time : 0.000
% 3.87/1.00 % Success case prop preproc time : 0.000
% 3.87/1.00 % Success case prop encoding time : 0.000
% 3.87/1.00 % Success case prop solver time : 0.000
% 3.87/1.00 % Current number of processed clauses : 611
% 3.87/1.00 % Positive orientable unit clauses : 13
% 3.87/1.00 % Positive unorientable unit clauses: 0
% 3.87/1.00 % Negative unit clauses : 106
% 3.87/1.00 % Non-unit-clauses : 492
% 3.87/1.00 % Current number of unprocessed clauses: 10240
% 3.87/1.00 % ...number of literals in the above : 81513
% 3.87/1.00 % Current number of archived formulas : 0
% 3.87/1.00 % Current number of archived clauses : 1589
% 3.87/1.00 % Clause-clause subsumption calls (NU) : 31951
% 3.87/1.00 % Rec. Clause-clause subsumption calls : 4437
% 3.87/1.00 % Non-unit clause-clause subsumptions : 2471
% 3.87/1.00 % Unit Clause-clause subsumption calls : 2150
% 3.87/1.00 % Rewrite failures with RHS unbound : 0
% 3.87/1.00 % BW rewrite match attempts : 10
% 3.87/1.00 % BW rewrite match successes : 10
% 3.87/1.00 % Condensation attempts : 0
% 3.87/1.00 % Condensation successes : 0
% 3.87/1.00 % Termbank termtop insertions : 348181
% 3.87/1.00 % Search garbage collected termcells : 2848
% 3.87/1.00
% 3.87/1.00 % -------------------------------------------------
% 3.87/1.00 % User time : 0.549 s
% 3.87/1.00 % System time : 0.017 s
% 3.87/1.00 % Total time : 0.567 s
% 3.87/1.00 % Maximum resident set size: 4536 pages
% 3.87/1.00
% 3.87/1.00 % -------------------------------------------------
% 3.87/1.00 % User time : 2.689 s
% 3.87/1.00 % System time : 0.088 s
% 3.87/1.00 % Total time : 2.777 s
% 3.87/1.00 % Maximum resident set size: 4864 pages
% 3.87/1.00 % E exiting
%------------------------------------------------------------------------------