TSTP Solution File: ALG163+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG163+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:10:31 EDT 2024
% Result : Unsatisfiable 8.51s 1.43s
% Output : CNFRefutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 193
% Syntax : Number of formulae : 1827 ( 55 unt; 0 def)
% Number of atoms : 8285 (4806 equ)
% Maximal formula atoms : 192 ( 4 avg)
% Number of connectives : 12210 (5752 ~;3436 |;2858 &)
% ( 134 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 166 ( 164 usr; 165 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,e3) = e2
& op(e3,e2) != e3
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e1 = op(op(op(e0,e0),e0),op(e0,e0))
& e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e1 = op(op(op(e0,e0),e0),op(e0,e0))
& e3 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e2 = op(op(op(e0,e0),e0),op(e0,e0))
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e2 = op(op(op(e0,e0),e0),op(e0,e0))
& e3 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e3 = op(op(op(e0,e0),e0),op(e0,e0))
& e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e3 = op(op(op(e0,e0),e0),op(e0,e0))
& e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e0 = op(op(op(e1,e1),e1),op(e1,e1))
& e2 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e0 = op(op(op(e1,e1),e1),op(e1,e1))
& e3 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e2 = op(op(op(e1,e1),e1),op(e1,e1))
& e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e2 = op(op(op(e1,e1),e1),op(e1,e1))
& e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e3 = op(op(op(e1,e1),e1),op(e1,e1))
& e0 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e3 = op(op(op(e1,e1),e1),op(e1,e1))
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e0 = op(op(op(e2,e2),e2),op(e2,e2))
& e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e0 = op(op(op(e2,e2),e2),op(e2,e2))
& e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e1 = op(op(op(e2,e2),e2),op(e2,e2))
& e0 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e1 = op(op(op(e2,e2),e2),op(e2,e2))
& e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e3 = op(op(op(e2,e2),e2),op(e2,e2))
& e0 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e3 = op(op(op(e2,e2),e2),op(e2,e2))
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e0 = op(op(op(e3,e3),e3),op(e3,e3))
& e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e0 = op(op(op(e3,e3),e3),op(e3,e3))
& e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e1 = op(op(op(e3,e3),e3),op(e3,e3))
& e0 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e1 = op(op(op(e3,e3),e3),op(e3,e3))
& e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e2 = op(op(op(e3,e3),e3),op(e3,e3))
& e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e2 = op(op(op(e3,e3),e3),op(e3,e3))
& e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f70,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f71,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f76,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f77,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
( pd0_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,e3) = e2
& op(e3,e2) != e3
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( pd0_1
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f134,plain,
( ( pd0_0
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) )
& ( pd0_1
| ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( pd0_0
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f136,plain,
( pd0_0
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f137,plain,
( pd0_0
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f138,plain,
( pd0_0
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f139,plain,
( pd0_0
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f141,plain,
( pd0_1
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f142,plain,
( pd0_1
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f143,plain,
( pd0_1
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f144,plain,
( pd0_1
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f145,plain,
( pd0_1
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f147,plain,
( e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f148,plain,
( e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f147]) ).
fof(f149,plain,
( e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f150,plain,
( e1 != op(op(op(e0,e0),e0),op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f151,plain,
( e2 != op(op(op(e0,e0),e0),op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f152,plain,
( e2 != op(op(op(e0,e0),e0),op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f151]) ).
fof(f153,plain,
( e2 != op(op(op(e0,e0),e0),op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f154,plain,
( e2 != op(op(op(e0,e0),e0),op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f155,plain,
( e3 != op(op(op(e0,e0),e0),op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f156,plain,
( e3 != op(op(op(e0,e0),e0),op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f155]) ).
fof(f157,plain,
( e3 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f158,plain,
( e3 != op(op(op(e0,e0),e0),op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f157]) ).
fof(f159,plain,
( e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f160,plain,
( e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f161,plain,
( e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f162,plain,
( e0 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f161]) ).
fof(f163,plain,
( e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f164,plain,
( e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f163]) ).
fof(f165,plain,
( e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f166,plain,
( e2 != op(op(op(e1,e1),e1),op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f165]) ).
fof(f167,plain,
( e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f168,plain,
( e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f167]) ).
fof(f169,plain,
( e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f170,plain,
( e3 != op(op(op(e1,e1),e1),op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f169]) ).
fof(f171,plain,
( e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f172,plain,
( e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f171]) ).
fof(f173,plain,
( e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f174,plain,
( e0 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f173]) ).
fof(f175,plain,
( e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f176,plain,
( e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f175]) ).
fof(f177,plain,
( e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f178,plain,
( e1 != op(op(op(e2,e2),e2),op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f177]) ).
fof(f179,plain,
( e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f180,plain,
( e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f179]) ).
fof(f181,plain,
( e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f182,plain,
( e3 != op(op(op(e2,e2),e2),op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f181]) ).
fof(f183,plain,
( e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f184,plain,
( e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f183]) ).
fof(f185,plain,
( e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f186,plain,
( e0 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f187,plain,
( e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f188,plain,
( e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f189,plain,
( e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f190,plain,
( e1 != op(op(op(e3,e3),e3),op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f189]) ).
fof(f191,plain,
( e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f192,plain,
( e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f193,plain,
( e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f194,plain,
( e2 != op(op(op(e3,e3),e3),op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f195,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,e3) = e2
& op(e3,e2) != e3
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f196,plain,
( pd0_2
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f195]) ).
fof(f197,plain,
( ~ pd0_0
| pd0_2
| ( op(e3,e3) = e2
& op(e3,e2) != e3
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f195,f196]) ).
fof(f198,plain,
( ~ pd0_0
| pd0_2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f199,plain,
( ~ pd0_0
| pd0_2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f200,plain,
( ~ pd0_0
| pd0_2
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f201,plain,
( ~ pd0_0
| pd0_2
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f202,plain,
( ~ pd0_0
| pd0_2
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f203,plain,
( ~ pd0_0
| pd0_2
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f204,plain,
( ~ pd0_1
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f133]) ).
fof(f205,plain,
( pd0_3
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f204]) ).
fof(f206,plain,
( ~ pd0_1
| pd0_3
| ( op(e3,e2) = e3
& op(e3,e3) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f204,f205]) ).
fof(f207,plain,
( ~ pd0_1
| pd0_3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f208,plain,
( ~ pd0_1
| pd0_3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f209,plain,
( ~ pd0_1
| pd0_3
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f210,plain,
( ~ pd0_1
| pd0_3
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f211,plain,
( ~ pd0_1
| pd0_3
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f212,plain,
( ~ pd0_1
| pd0_3
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f213,plain,
( ~ pd0_2
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f196]) ).
fof(f214,plain,
( pd0_4
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(predicate_definition,[f213]) ).
fof(f215,plain,
( ~ pd0_2
| pd0_4
| ( op(e3,e3) = e1
& op(e3,e1) != e3
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f213,f214]) ).
fof(f216,plain,
( ~ pd0_2
| pd0_4
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f217,plain,
( ~ pd0_2
| pd0_4
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f218,plain,
( ~ pd0_2
| pd0_4
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f219,plain,
( ~ pd0_2
| pd0_4
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f220,plain,
( ~ pd0_2
| pd0_4
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f221,plain,
( ~ pd0_2
| pd0_4
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f222,plain,
( ~ pd0_3
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f205]) ).
fof(f223,plain,
( pd0_5
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(predicate_definition,[f222]) ).
fof(f224,plain,
( ~ pd0_3
| pd0_5
| ( op(e3,e1) = e3
& op(e3,e3) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f222,f223]) ).
fof(f225,plain,
( ~ pd0_3
| pd0_5
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f226,plain,
( ~ pd0_3
| pd0_5
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f227,plain,
( ~ pd0_3
| pd0_5
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f228,plain,
( ~ pd0_3
| pd0_5
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f229,plain,
( ~ pd0_3
| pd0_5
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f230,plain,
( ~ pd0_3
| pd0_5
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f231,plain,
( ~ pd0_4
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f214]) ).
fof(f232,plain,
( pd0_6
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
introduced(predicate_definition,[f231]) ).
fof(f233,plain,
( ~ pd0_4
| pd0_6
| ( op(e3,e3) = e0
& op(e3,e0) != e3
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f231,f232]) ).
fof(f234,plain,
( ~ pd0_4
| pd0_6
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f235,plain,
( ~ pd0_4
| pd0_6
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f236,plain,
( ~ pd0_4
| pd0_6
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f237,plain,
( ~ pd0_4
| pd0_6
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f238,plain,
( ~ pd0_4
| pd0_6
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f239,plain,
( ~ pd0_4
| pd0_6
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f240,plain,
( ~ pd0_5
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f223]) ).
fof(f241,plain,
( pd0_7
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
introduced(predicate_definition,[f240]) ).
fof(f242,plain,
( ~ pd0_5
| pd0_7
| ( op(e3,e0) = e3
& op(e3,e3) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f240,f241]) ).
fof(f243,plain,
( ~ pd0_5
| pd0_7
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f244,plain,
( ~ pd0_5
| pd0_7
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f245,plain,
( ~ pd0_5
| pd0_7
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f246,plain,
( ~ pd0_5
| pd0_7
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f247,plain,
( ~ pd0_5
| pd0_7
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f248,plain,
( ~ pd0_5
| pd0_7
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f249,plain,
( ~ pd0_6
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f232]) ).
fof(f250,plain,
( pd0_8
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f249]) ).
fof(f251,plain,
( ~ pd0_6
| pd0_8
| ( op(e2,e2) = e3
& op(e2,e3) != e2
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f249,f250]) ).
fof(f252,plain,
( ~ pd0_6
| pd0_8
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f253,plain,
( ~ pd0_6
| pd0_8
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f254,plain,
( ~ pd0_6
| pd0_8
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f255,plain,
( ~ pd0_6
| pd0_8
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f256,plain,
( ~ pd0_6
| pd0_8
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f257,plain,
( ~ pd0_6
| pd0_8
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f258,plain,
( ~ pd0_7
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f241]) ).
fof(f259,plain,
( pd0_9
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f258]) ).
fof(f260,plain,
( ~ pd0_7
| pd0_9
| ( op(e2,e3) = e2
& op(e2,e2) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f258,f259]) ).
fof(f261,plain,
( ~ pd0_7
| pd0_9
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f262,plain,
( ~ pd0_7
| pd0_9
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f263,plain,
( ~ pd0_7
| pd0_9
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f264,plain,
( ~ pd0_7
| pd0_9
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f265,plain,
( ~ pd0_7
| pd0_9
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f266,plain,
( ~ pd0_7
| pd0_9
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f267,plain,
( ~ pd0_8
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f250]) ).
fof(f268,plain,
( pd0_10
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f267]) ).
fof(f269,plain,
( ~ pd0_8
| pd0_10
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f267,f268]) ).
fof(f270,plain,
( ~ pd0_8
| pd0_10
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f271,plain,
( ~ pd0_8
| pd0_10
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f272,plain,
( ~ pd0_8
| pd0_10
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f273,plain,
( ~ pd0_8
| pd0_10
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f275,plain,
( ~ pd0_8
| pd0_10
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f276,plain,
( ~ pd0_9
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f259]) ).
fof(f277,plain,
( pd0_11
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f276]) ).
fof(f278,plain,
( ~ pd0_9
| pd0_11
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f276,f277]) ).
fof(f279,plain,
( ~ pd0_9
| pd0_11
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f280,plain,
( ~ pd0_9
| pd0_11
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f281,plain,
( ~ pd0_9
| pd0_11
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f282,plain,
( ~ pd0_9
| pd0_11
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f284,plain,
( ~ pd0_9
| pd0_11
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f285,plain,
( ~ pd0_10
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f268]) ).
fof(f286,plain,
( pd0_12
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(predicate_definition,[f285]) ).
fof(f287,plain,
( ~ pd0_10
| pd0_12
| ( op(e2,e2) = e1
& op(e2,e1) != e2
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f285,f286]) ).
fof(f288,plain,
( ~ pd0_10
| pd0_12
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f289,plain,
( ~ pd0_10
| pd0_12
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f290,plain,
( ~ pd0_10
| pd0_12
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f291,plain,
( ~ pd0_10
| pd0_12
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f292,plain,
( ~ pd0_10
| pd0_12
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f293,plain,
( ~ pd0_10
| pd0_12
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f294,plain,
( ~ pd0_11
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f277]) ).
fof(f295,plain,
( pd0_13
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(predicate_definition,[f294]) ).
fof(f296,plain,
( ~ pd0_11
| pd0_13
| ( op(e2,e1) = e2
& op(e2,e2) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f294,f295]) ).
fof(f297,plain,
( ~ pd0_11
| pd0_13
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f298,plain,
( ~ pd0_11
| pd0_13
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f299,plain,
( ~ pd0_11
| pd0_13
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f300,plain,
( ~ pd0_11
| pd0_13
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f301,plain,
( ~ pd0_11
| pd0_13
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f302,plain,
( ~ pd0_11
| pd0_13
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f303,plain,
( ~ pd0_12
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f286]) ).
fof(f304,plain,
( pd0_14
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
introduced(predicate_definition,[f303]) ).
fof(f305,plain,
( ~ pd0_12
| pd0_14
| ( op(e2,e2) = e0
& op(e2,e0) != e2
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f303,f304]) ).
fof(f306,plain,
( ~ pd0_12
| pd0_14
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f307,plain,
( ~ pd0_12
| pd0_14
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f308,plain,
( ~ pd0_12
| pd0_14
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f309,plain,
( ~ pd0_12
| pd0_14
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f310,plain,
( ~ pd0_12
| pd0_14
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f311,plain,
( ~ pd0_12
| pd0_14
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f312,plain,
( ~ pd0_13
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f295]) ).
fof(f313,plain,
( pd0_15
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
introduced(predicate_definition,[f312]) ).
fof(f314,plain,
( ~ pd0_13
| pd0_15
| ( op(e2,e0) = e2
& op(e2,e2) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f312,f313]) ).
fof(f315,plain,
( ~ pd0_13
| pd0_15
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f316,plain,
( ~ pd0_13
| pd0_15
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f317,plain,
( ~ pd0_13
| pd0_15
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f318,plain,
( ~ pd0_13
| pd0_15
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f319,plain,
( ~ pd0_13
| pd0_15
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f320,plain,
( ~ pd0_13
| pd0_15
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f321,plain,
( ~ pd0_14
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f304]) ).
fof(f322,plain,
( pd0_16
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f321]) ).
fof(f323,plain,
( ~ pd0_14
| pd0_16
| ( op(e1,e1) = e3
& op(e1,e3) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f321,f322]) ).
fof(f324,plain,
( ~ pd0_14
| pd0_16
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f325,plain,
( ~ pd0_14
| pd0_16
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f326,plain,
( ~ pd0_14
| pd0_16
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f327,plain,
( ~ pd0_14
| pd0_16
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f328,plain,
( ~ pd0_14
| pd0_16
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f329,plain,
( ~ pd0_14
| pd0_16
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f330,plain,
( ~ pd0_15
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f313]) ).
fof(f331,plain,
( pd0_17
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f330]) ).
fof(f332,plain,
( ~ pd0_15
| pd0_17
| ( op(e1,e3) = e1
& op(e1,e1) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f330,f331]) ).
fof(f333,plain,
( ~ pd0_15
| pd0_17
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f334,plain,
( ~ pd0_15
| pd0_17
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f335,plain,
( ~ pd0_15
| pd0_17
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f336,plain,
( ~ pd0_15
| pd0_17
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f337,plain,
( ~ pd0_15
| pd0_17
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f338,plain,
( ~ pd0_15
| pd0_17
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f339,plain,
( ~ pd0_16
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f322]) ).
fof(f340,plain,
( pd0_18
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f339]) ).
fof(f341,plain,
( ~ pd0_16
| pd0_18
| ( op(e1,e1) = e2
& op(e1,e2) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f339,f340]) ).
fof(f342,plain,
( ~ pd0_16
| pd0_18
| op(e1,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f341]) ).
fof(f343,plain,
( ~ pd0_16
| pd0_18
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f341]) ).
fof(f344,plain,
( ~ pd0_16
| pd0_18
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f341]) ).
fof(f345,plain,
( ~ pd0_16
| pd0_18
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f341]) ).
fof(f346,plain,
( ~ pd0_16
| pd0_18
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f341]) ).
fof(f347,plain,
( ~ pd0_16
| pd0_18
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f341]) ).
fof(f348,plain,
( ~ pd0_17
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f331]) ).
fof(f349,plain,
( pd0_19
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f348]) ).
fof(f350,plain,
( ~ pd0_17
| pd0_19
| ( op(e1,e2) = e1
& op(e1,e1) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f348,f349]) ).
fof(f351,plain,
( ~ pd0_17
| pd0_19
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f352,plain,
( ~ pd0_17
| pd0_19
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f353,plain,
( ~ pd0_17
| pd0_19
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f354,plain,
( ~ pd0_17
| pd0_19
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f355,plain,
( ~ pd0_17
| pd0_19
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f356,plain,
( ~ pd0_17
| pd0_19
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f357,plain,
( ~ pd0_18
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f340]) ).
fof(f358,plain,
( pd0_20
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(predicate_definition,[f357]) ).
fof(f359,plain,
( ~ pd0_18
| pd0_20
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f357,f358]) ).
fof(f360,plain,
( ~ pd0_18
| pd0_20
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f361,plain,
( ~ pd0_18
| pd0_20
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f362,plain,
( ~ pd0_18
| pd0_20
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f364,plain,
( ~ pd0_18
| pd0_20
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f365,plain,
( ~ pd0_18
| pd0_20
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f366,plain,
( ~ pd0_19
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f349]) ).
fof(f367,plain,
( pd0_21
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(predicate_definition,[f366]) ).
fof(f368,plain,
( ~ pd0_19
| pd0_21
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f366,f367]) ).
fof(f369,plain,
( ~ pd0_19
| pd0_21
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f370,plain,
( ~ pd0_19
| pd0_21
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f371,plain,
( ~ pd0_19
| pd0_21
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f373,plain,
( ~ pd0_19
| pd0_21
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f374,plain,
( ~ pd0_19
| pd0_21
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f375,plain,
( ~ pd0_20
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f358]) ).
fof(f376,plain,
( pd0_22
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
introduced(predicate_definition,[f375]) ).
fof(f377,plain,
( ~ pd0_20
| pd0_22
| ( op(e1,e1) = e0
& op(e1,e0) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f375,f376]) ).
fof(f378,plain,
( ~ pd0_20
| pd0_22
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f379,plain,
( ~ pd0_20
| pd0_22
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f380,plain,
( ~ pd0_20
| pd0_22
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f381,plain,
( ~ pd0_20
| pd0_22
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f382,plain,
( ~ pd0_20
| pd0_22
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f383,plain,
( ~ pd0_20
| pd0_22
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f384,plain,
( ~ pd0_21
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 )
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f367]) ).
fof(f385,plain,
( pd0_23
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ) ),
introduced(predicate_definition,[f384]) ).
fof(f386,plain,
( ~ pd0_21
| pd0_23
| ( op(e1,e0) = e1
& op(e1,e1) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f384,f385]) ).
fof(f387,plain,
( ~ pd0_21
| pd0_23
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f388,plain,
( ~ pd0_21
| pd0_23
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f389,plain,
( ~ pd0_21
| pd0_23
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f390,plain,
( ~ pd0_21
| pd0_23
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f391,plain,
( ~ pd0_21
| pd0_23
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f392,plain,
( ~ pd0_21
| pd0_23
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f393,plain,
( ~ pd0_22
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f376]) ).
fof(f394,plain,
( pd0_24
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f393]) ).
fof(f395,plain,
( ~ pd0_22
| pd0_24
| ( op(e0,e0) = e3
& op(e0,e3) != e0
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f393,f394]) ).
fof(f396,plain,
( ~ pd0_22
| pd0_24
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f395]) ).
fof(f397,plain,
( ~ pd0_22
| pd0_24
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f395]) ).
fof(f398,plain,
( ~ pd0_22
| pd0_24
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f395]) ).
fof(f399,plain,
( ~ pd0_22
| pd0_24
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f395]) ).
fof(f400,plain,
( ~ pd0_22
| pd0_24
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f395]) ).
fof(f401,plain,
( ~ pd0_22
| pd0_24
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f395]) ).
fof(f402,plain,
( ~ pd0_23
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f385]) ).
fof(f403,plain,
( pd0_25
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ) ),
introduced(predicate_definition,[f402]) ).
fof(f404,plain,
( ~ pd0_23
| pd0_25
| ( op(e0,e3) = e0
& op(e0,e0) != e3
& op(e3,op(e3,e0)) != e0
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f402,f403]) ).
fof(f405,plain,
( ~ pd0_23
| pd0_25
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f404]) ).
fof(f406,plain,
( ~ pd0_23
| pd0_25
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f404]) ).
fof(f407,plain,
( ~ pd0_23
| pd0_25
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f404]) ).
fof(f408,plain,
( ~ pd0_23
| pd0_25
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f404]) ).
fof(f409,plain,
( ~ pd0_23
| pd0_25
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f404]) ).
fof(f410,plain,
( ~ pd0_23
| pd0_25
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f404]) ).
fof(f411,plain,
( ~ pd0_24
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f394]) ).
fof(f412,plain,
( pd0_26
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f411]) ).
fof(f413,plain,
( ~ pd0_24
| pd0_26
| ( op(e0,e0) = e2
& op(e0,e2) != e0
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f411,f412]) ).
fof(f414,plain,
( ~ pd0_24
| pd0_26
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f415,plain,
( ~ pd0_24
| pd0_26
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f416,plain,
( ~ pd0_24
| pd0_26
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f417,plain,
( ~ pd0_24
| pd0_26
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f418,plain,
( ~ pd0_24
| pd0_26
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f419,plain,
( ~ pd0_24
| pd0_26
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f420,plain,
( ~ pd0_25
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 )
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f403]) ).
fof(f421,plain,
( pd0_27
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ) ),
introduced(predicate_definition,[f420]) ).
fof(f422,plain,
( ~ pd0_25
| pd0_27
| ( op(e0,e2) = e0
& op(e0,e0) != e2
& op(e2,op(e2,e0)) != e0
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f420,f421]) ).
fof(f423,plain,
( ~ pd0_25
| pd0_27
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f424,plain,
( ~ pd0_25
| pd0_27
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f425,plain,
( ~ pd0_25
| pd0_27
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f426,plain,
( ~ pd0_25
| pd0_27
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f427,plain,
( ~ pd0_25
| pd0_27
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f428,plain,
( ~ pd0_25
| pd0_27
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f429,plain,
( ~ pd0_26
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f412]) ).
fof(f430,plain,
( pd0_28
=> ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
introduced(predicate_definition,[f429]) ).
fof(f431,plain,
( ~ pd0_26
| pd0_28
| ( op(e0,e0) = e1
& op(e0,e1) != e0
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f429,f430]) ).
fof(f432,plain,
( ~ pd0_26
| pd0_28
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f431]) ).
fof(f433,plain,
( ~ pd0_26
| pd0_28
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f431]) ).
fof(f434,plain,
( ~ pd0_26
| pd0_28
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f431]) ).
fof(f435,plain,
( ~ pd0_26
| pd0_28
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f431]) ).
fof(f436,plain,
( ~ pd0_26
| pd0_28
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f431]) ).
fof(f437,plain,
( ~ pd0_26
| pd0_28
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f431]) ).
fof(f438,plain,
( ~ pd0_27
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 )
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f421]) ).
fof(f439,plain,
( pd0_29
=> ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
introduced(predicate_definition,[f438]) ).
fof(f440,plain,
( ~ pd0_27
| pd0_29
| ( op(e0,e1) = e0
& op(e0,e0) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e3)) != e3 ) ),
inference(formula_renaming,[status(thm)],[f438,f439]) ).
fof(f441,plain,
( ~ pd0_27
| pd0_29
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f442,plain,
( ~ pd0_27
| pd0_29
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f443,plain,
( ~ pd0_27
| pd0_29
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f444,plain,
( ~ pd0_27
| pd0_29
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f445,plain,
( ~ pd0_27
| pd0_29
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f446,plain,
( ~ pd0_27
| pd0_29
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f447,plain,
( ~ pd0_28
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f430]) ).
fof(f448,plain,
( ~ pd0_28
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f449,plain,
( ~ pd0_28
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f450,plain,
( ~ pd0_28
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f451,plain,
( ~ pd0_28
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f452,plain,
( ~ pd0_28
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f453,plain,
( ~ pd0_28
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f454,plain,
( ~ pd0_29
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e3)) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f439]) ).
fof(f455,plain,
( ~ pd0_29
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f456,plain,
( ~ pd0_29
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f457,plain,
( ~ pd0_29
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f458,plain,
( ~ pd0_29
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f459,plain,
( ~ pd0_29
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f460,plain,
( ~ pd0_29
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f461,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f461,f464,f467,f470]) ).
fof(f474,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f474,f477,f480,f483]) ).
fof(f487,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f32,f487,f490,f493,f496]) ).
fof(f500,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f504,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f500,f503,f506,f509]) ).
fof(f513,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f514,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f517,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f513,f516,f519,f522]) ).
fof(f526,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f526,f529,f532,f535]) ).
fof(f539,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f540,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f539,f542,f545,f548]) ).
fof(f552,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f553,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f556,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f552,f555,f558,f561]) ).
fof(f565,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f566,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f575,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f565,f568,f571,f574]) ).
fof(f578,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f578,f581,f584,f587]) ).
fof(f591,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f591,f594,f597,f600]) ).
fof(f604,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f608,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f604,f607,f610,f613]) ).
fof(f617,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f621,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f617,f620,f623,f626]) ).
fof(f630,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f640,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f630,f633,f636,f639]) ).
fof(f643,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f644,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f647,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f643,f646,f649,f652]) ).
fof(f656,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f657,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f660,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f663,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f656,f659,f662,f665]) ).
fof(f669,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f461,f474,f487,f500]) ).
fof(f670,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f461,f513,f565,f617]) ).
fof(f671,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f464,f477,f490,f503]) ).
fof(f672,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f464,f516,f568,f620]) ).
fof(f673,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f467,f480,f493,f506]) ).
fof(f674,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f467,f519,f571,f623]) ).
fof(f675,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f470,f483,f496,f509]) ).
fof(f676,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f470,f522,f574,f626]) ).
fof(f677,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f513,f526,f539,f552]) ).
fof(f678,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f474,f526,f578,f630]) ).
fof(f679,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f516,f529,f542,f555]) ).
fof(f680,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f477,f529,f581,f633]) ).
fof(f681,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f519,f532,f545,f558]) ).
fof(f682,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f480,f532,f584,f636]) ).
fof(f683,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f522,f535,f548,f561]) ).
fof(f684,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f483,f535,f587,f639]) ).
fof(f685,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f565,f578,f591,f604]) ).
fof(f686,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f487,f539,f591,f643]) ).
fof(f687,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f568,f581,f594,f607]) ).
fof(f688,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f490,f542,f594,f646]) ).
fof(f689,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f571,f584,f597,f610]) ).
fof(f690,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f493,f545,f597,f649]) ).
fof(f691,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f574,f587,f600,f613]) ).
fof(f692,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f496,f548,f600,f652]) ).
fof(f693,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f617,f630,f643,f656]) ).
fof(f694,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f500,f552,f604,f656]) ).
fof(f695,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f620,f633,f646,f659]) ).
fof(f696,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f503,f555,f607,f659]) ).
fof(f697,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f623,f636,f649,f662]) ).
fof(f698,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f506,f558,f610,f662]) ).
fof(f699,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f626,f639,f652,f665]) ).
fof(f700,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f509,f561,f613,f665]) ).
fof(f701,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( spl0_64
| spl0_63 ),
inference(split_clause,[status(thm)],[f135,f701,f665]) ).
fof(f705,plain,
( spl0_64
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f136,f701,f665]) ).
fof(f706,plain,
( spl0_65
<=> op(e3,op(e3,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op(e3,op(e3,e0)) != e0
| spl0_65 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( spl0_64
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f137,f701,f706]) ).
fof(f710,plain,
( spl0_66
<=> op(e3,op(e3,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f712,plain,
( op(e3,op(e3,e1)) != e1
| spl0_66 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_64
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f138,f701,f710]) ).
fof(f714,plain,
( spl0_67
<=> op(e3,op(e3,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f715,plain,
( op(e3,op(e3,e2)) = e2
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( op(e3,op(e3,e2)) != e2
| spl0_67 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( spl0_64
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f139,f701,f714]) ).
fof(f718,plain,
( spl0_68
<=> op(e3,op(e3,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f720,plain,
( op(e3,op(e3,e3)) != e3
| spl0_68 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f722,plain,
( spl0_69
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( spl0_69
| spl0_63 ),
inference(split_clause,[status(thm)],[f141,f722,f665]) ).
fof(f726,plain,
( spl0_69
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f142,f722,f665]) ).
fof(f727,plain,
( spl0_69
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f143,f722,f706]) ).
fof(f728,plain,
( spl0_69
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f144,f722,f710]) ).
fof(f729,plain,
( spl0_69
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f145,f722,f714]) ).
fof(f731,plain,
( spl0_70
<=> e1 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( e1 != op(op(op(e0,e0),e0),op(e0,e0))
| spl0_70 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( spl0_71
<=> e2 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f735,plain,
( e2 = op(op(e0,e0),e0)
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( e2 != op(op(e0,e0),e0)
| spl0_71 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ spl0_70
| ~ spl0_71
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f148,f731,f734,f470]) ).
fof(f738,plain,
( spl0_72
<=> e3 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( e3 != op(op(e0,e0),e0)
| spl0_72 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( ~ spl0_70
| ~ spl0_72
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f150,f731,f738,f467]) ).
fof(f742,plain,
( spl0_73
<=> e2 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( e2 != op(op(op(e0,e0),e0),op(e0,e0))
| spl0_73 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_74
<=> e1 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( e1 != op(op(e0,e0),e0)
| spl0_74 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ spl0_73
| ~ spl0_74
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f152,f742,f745,f470]) ).
fof(f749,plain,
( ~ spl0_73
| ~ spl0_72
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f154,f742,f738,f464]) ).
fof(f750,plain,
( spl0_75
<=> e3 = op(op(op(e0,e0),e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( e3 != op(op(op(e0,e0),e0),op(e0,e0))
| spl0_75 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ spl0_75
| ~ spl0_74
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f156,f750,f745,f467]) ).
fof(f754,plain,
( ~ spl0_75
| ~ spl0_71
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f158,f750,f734,f464]) ).
fof(f755,plain,
( spl0_76
<=> e0 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( e0 != op(op(op(e1,e1),e1),op(e1,e1))
| spl0_76 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_77
<=> e2 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( e2 != op(op(e1,e1),e1)
| spl0_77 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( ~ spl0_76
| ~ spl0_77
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f160,f755,f758,f535]) ).
fof(f762,plain,
( spl0_78
<=> e3 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( e3 = op(op(e1,e1),e1)
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( e3 != op(op(e1,e1),e1)
| spl0_78 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( ~ spl0_76
| ~ spl0_78
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f162,f755,f762,f532]) ).
fof(f766,plain,
( spl0_79
<=> e2 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( e2 != op(op(op(e1,e1),e1),op(e1,e1))
| spl0_79 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( spl0_80
<=> e0 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( e0 != op(op(e1,e1),e1)
| spl0_80 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( ~ spl0_79
| ~ spl0_80
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f164,f766,f769,f535]) ).
fof(f773,plain,
( ~ spl0_79
| ~ spl0_78
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f166,f766,f762,f526]) ).
fof(f774,plain,
( spl0_81
<=> e3 = op(op(op(e1,e1),e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( e3 != op(op(op(e1,e1),e1),op(e1,e1))
| spl0_81 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( ~ spl0_81
| ~ spl0_80
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f168,f774,f769,f532]) ).
fof(f778,plain,
( ~ spl0_81
| ~ spl0_77
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f170,f774,f758,f526]) ).
fof(f779,plain,
( spl0_82
<=> e0 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( e0 != op(op(op(e2,e2),e2),op(e2,e2))
| spl0_82 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( spl0_83
<=> e1 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f783,plain,
( e1 = op(op(e2,e2),e2)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( e1 != op(op(e2,e2),e2)
| spl0_83 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,plain,
( ~ spl0_82
| ~ spl0_83
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f172,f779,f782,f600]) ).
fof(f786,plain,
( spl0_84
<=> e3 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f787,plain,
( e3 = op(op(e2,e2),e2)
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f788,plain,
( e3 != op(op(e2,e2),e2)
| spl0_84 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( ~ spl0_82
| ~ spl0_84
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f174,f779,f786,f594]) ).
fof(f790,plain,
( spl0_85
<=> e1 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( e1 != op(op(op(e2,e2),e2),op(e2,e2))
| spl0_85 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( spl0_86
<=> e0 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( e0 != op(op(e2,e2),e2)
| spl0_86 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( ~ spl0_85
| ~ spl0_86
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f176,f790,f793,f600]) ).
fof(f797,plain,
( ~ spl0_85
| ~ spl0_84
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f178,f790,f786,f591]) ).
fof(f798,plain,
( spl0_87
<=> e3 = op(op(op(e2,e2),e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( e3 != op(op(op(e2,e2),e2),op(e2,e2))
| spl0_87 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( ~ spl0_87
| ~ spl0_86
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f180,f798,f793,f594]) ).
fof(f802,plain,
( ~ spl0_87
| ~ spl0_83
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f182,f798,f782,f591]) ).
fof(f803,plain,
( spl0_88
<=> e0 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( e0 != op(op(op(e3,e3),e3),op(e3,e3))
| spl0_88 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( spl0_89
<=> e1 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( e1 = op(op(e3,e3),e3)
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f808,plain,
( e1 != op(op(e3,e3),e3)
| spl0_89 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( ~ spl0_88
| ~ spl0_89
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f184,f803,f806,f662]) ).
fof(f810,plain,
( spl0_90
<=> e2 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( e2 != op(op(e3,e3),e3)
| spl0_90 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( ~ spl0_88
| ~ spl0_90
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f186,f803,f810,f659]) ).
fof(f814,plain,
( spl0_91
<=> e1 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f816,plain,
( e1 != op(op(op(e3,e3),e3),op(e3,e3))
| spl0_91 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_92
<=> e0 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f819,plain,
( e0 != op(op(e3,e3),e3)
| spl0_92 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( ~ spl0_91
| ~ spl0_92
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f188,f814,f817,f662]) ).
fof(f821,plain,
( ~ spl0_91
| ~ spl0_90
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f190,f814,f810,f656]) ).
fof(f822,plain,
( spl0_93
<=> e2 = op(op(op(e3,e3),e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f824,plain,
( e2 != op(op(op(e3,e3),e3),op(e3,e3))
| spl0_93 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( ~ spl0_93
| ~ spl0_92
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f192,f822,f817,f659]) ).
fof(f826,plain,
( ~ spl0_93
| ~ spl0_89
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f194,f822,f806,f656]) ).
fof(f827,plain,
( spl0_94
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f830,plain,
( ~ spl0_64
| spl0_94
| spl0_62 ),
inference(split_clause,[status(thm)],[f198,f701,f827,f662]) ).
fof(f831,plain,
( ~ spl0_64
| spl0_94
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f199,f701,f827,f652]) ).
fof(f832,plain,
( spl0_95
<=> op(e2,op(e2,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op(e2,op(e2,e0)) != e0
| spl0_95 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( ~ spl0_64
| spl0_94
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f200,f701,f827,f832]) ).
fof(f836,plain,
( spl0_96
<=> op(e2,op(e2,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f837,plain,
( op(e2,op(e2,e1)) = e1
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f838,plain,
( op(e2,op(e2,e1)) != e1
| spl0_96 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( ~ spl0_64
| spl0_94
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f201,f701,f827,f836]) ).
fof(f840,plain,
( spl0_97
<=> op(e2,op(e2,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op(e2,op(e2,e2)) = e2
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( op(e2,op(e2,e2)) != e2
| spl0_97 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( ~ spl0_64
| spl0_94
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f202,f701,f827,f840]) ).
fof(f844,plain,
( spl0_98
<=> op(e2,op(e2,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f845,plain,
( op(e2,op(e2,e3)) = e3
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( op(e2,op(e2,e3)) != e3
| spl0_98 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( ~ spl0_64
| spl0_94
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f203,f701,f827,f844]) ).
fof(f848,plain,
( spl0_99
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( ~ spl0_69
| spl0_99
| spl0_59 ),
inference(split_clause,[status(thm)],[f207,f722,f848,f652]) ).
fof(f852,plain,
( ~ spl0_69
| spl0_99
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f208,f722,f848,f662]) ).
fof(f853,plain,
( ~ spl0_69
| spl0_99
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f209,f722,f848,f832]) ).
fof(f854,plain,
( ~ spl0_69
| spl0_99
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f210,f722,f848,f836]) ).
fof(f855,plain,
( ~ spl0_69
| spl0_99
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f211,f722,f848,f840]) ).
fof(f856,plain,
( ~ spl0_69
| spl0_99
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f212,f722,f848,f844]) ).
fof(f857,plain,
( spl0_100
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f860,plain,
( ~ spl0_94
| spl0_100
| spl0_61 ),
inference(split_clause,[status(thm)],[f216,f827,f857,f659]) ).
fof(f861,plain,
( ~ spl0_94
| spl0_100
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f217,f827,f857,f639]) ).
fof(f862,plain,
( spl0_101
<=> op(e1,op(e1,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f863,plain,
( op(e1,op(e1,e0)) = e0
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f864,plain,
( op(e1,op(e1,e0)) != e0
| spl0_101 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( ~ spl0_94
| spl0_100
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f218,f827,f857,f862]) ).
fof(f866,plain,
( spl0_102
<=> op(e1,op(e1,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f867,plain,
( op(e1,op(e1,e1)) = e1
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f868,plain,
( op(e1,op(e1,e1)) != e1
| spl0_102 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( ~ spl0_94
| spl0_100
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f219,f827,f857,f866]) ).
fof(f870,plain,
( spl0_103
<=> op(e1,op(e1,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( op(e1,op(e1,e2)) = e2
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f872,plain,
( op(e1,op(e1,e2)) != e2
| spl0_103 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( ~ spl0_94
| spl0_100
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f220,f827,f857,f870]) ).
fof(f874,plain,
( spl0_104
<=> op(e1,op(e1,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f875,plain,
( op(e1,op(e1,e3)) = e3
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f876,plain,
( op(e1,op(e1,e3)) != e3
| spl0_104 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,plain,
( ~ spl0_94
| spl0_100
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f221,f827,f857,f874]) ).
fof(f878,plain,
( spl0_105
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f881,plain,
( ~ spl0_99
| spl0_105
| spl0_55 ),
inference(split_clause,[status(thm)],[f225,f848,f878,f639]) ).
fof(f882,plain,
( ~ spl0_99
| spl0_105
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f226,f848,f878,f659]) ).
fof(f883,plain,
( ~ spl0_99
| spl0_105
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f227,f848,f878,f862]) ).
fof(f884,plain,
( ~ spl0_99
| spl0_105
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f228,f848,f878,f866]) ).
fof(f885,plain,
( ~ spl0_99
| spl0_105
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f229,f848,f878,f870]) ).
fof(f886,plain,
( ~ spl0_99
| spl0_105
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f230,f848,f878,f874]) ).
fof(f887,plain,
( spl0_106
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( ~ spl0_100
| spl0_106
| spl0_60 ),
inference(split_clause,[status(thm)],[f234,f857,f887,f656]) ).
fof(f891,plain,
( ~ spl0_100
| spl0_106
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f235,f857,f887,f626]) ).
fof(f892,plain,
( spl0_107
<=> op(e0,op(e0,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f894,plain,
( op(e0,op(e0,e0)) != e0
| spl0_107 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( ~ spl0_100
| spl0_106
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f236,f857,f887,f892]) ).
fof(f896,plain,
( spl0_108
<=> op(e0,op(e0,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f897,plain,
( op(e0,op(e0,e1)) = e1
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f898,plain,
( op(e0,op(e0,e1)) != e1
| spl0_108 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( ~ spl0_100
| spl0_106
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f237,f857,f887,f896]) ).
fof(f900,plain,
( spl0_109
<=> op(e0,op(e0,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f902,plain,
( op(e0,op(e0,e2)) != e2
| spl0_109 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,plain,
( ~ spl0_100
| spl0_106
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f238,f857,f887,f900]) ).
fof(f904,plain,
( spl0_110
<=> op(e0,op(e0,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f906,plain,
( op(e0,op(e0,e3)) != e3
| spl0_110 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ spl0_100
| spl0_106
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f239,f857,f887,f904]) ).
fof(f908,plain,
( spl0_111
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f911,plain,
( ~ spl0_105
| spl0_111
| spl0_51 ),
inference(split_clause,[status(thm)],[f243,f878,f908,f626]) ).
fof(f912,plain,
( ~ spl0_105
| spl0_111
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f244,f878,f908,f656]) ).
fof(f913,plain,
( ~ spl0_105
| spl0_111
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f245,f878,f908,f892]) ).
fof(f914,plain,
( ~ spl0_105
| spl0_111
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f246,f878,f908,f896]) ).
fof(f915,plain,
( ~ spl0_105
| spl0_111
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f247,f878,f908,f900]) ).
fof(f916,plain,
( ~ spl0_105
| spl0_111
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f248,f878,f908,f904]) ).
fof(f917,plain,
( spl0_112
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f920,plain,
( ~ spl0_106
| spl0_112
| spl0_43 ),
inference(split_clause,[status(thm)],[f252,f887,f917,f600]) ).
fof(f921,plain,
( ~ spl0_106
| spl0_112
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f253,f887,f917,f610]) ).
fof(f922,plain,
( ~ spl0_106
| spl0_112
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f254,f887,f917,f706]) ).
fof(f923,plain,
( ~ spl0_106
| spl0_112
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f255,f887,f917,f710]) ).
fof(f924,plain,
( ~ spl0_106
| spl0_112
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f256,f887,f917,f714]) ).
fof(f925,plain,
( ~ spl0_106
| spl0_112
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f257,f887,f917,f718]) ).
fof(f926,plain,
( spl0_113
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f929,plain,
( ~ spl0_111
| spl0_113
| spl0_46 ),
inference(split_clause,[status(thm)],[f261,f908,f926,f610]) ).
fof(f930,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f262,f908,f926,f600]) ).
fof(f931,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f263,f908,f926,f706]) ).
fof(f932,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f264,f908,f926,f710]) ).
fof(f933,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f265,f908,f926,f714]) ).
fof(f934,plain,
( ~ spl0_111
| spl0_113
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f266,f908,f926,f718]) ).
fof(f935,plain,
( spl0_114
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f938,plain,
( ~ spl0_112
| spl0_114
| spl0_42 ),
inference(split_clause,[status(thm)],[f270,f917,f935,f597]) ).
fof(f939,plain,
( ~ spl0_112
| spl0_114
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f271,f917,f935,f597]) ).
fof(f940,plain,
( ~ spl0_112
| spl0_114
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f272,f917,f935,f832]) ).
fof(f941,plain,
( ~ spl0_112
| spl0_114
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f273,f917,f935,f836]) ).
fof(f943,plain,
( ~ spl0_112
| spl0_114
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f275,f917,f935,f844]) ).
fof(f944,plain,
( spl0_115
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f947,plain,
( ~ spl0_113
| spl0_115
| spl0_42 ),
inference(split_clause,[status(thm)],[f279,f926,f944,f597]) ).
fof(f948,plain,
( ~ spl0_113
| spl0_115
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f280,f926,f944,f597]) ).
fof(f949,plain,
( ~ spl0_113
| spl0_115
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f281,f926,f944,f832]) ).
fof(f950,plain,
( ~ spl0_113
| spl0_115
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f282,f926,f944,f836]) ).
fof(f952,plain,
( ~ spl0_113
| spl0_115
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f284,f926,f944,f844]) ).
fof(f953,plain,
( spl0_116
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f956,plain,
( ~ spl0_114
| spl0_116
| spl0_41 ),
inference(split_clause,[status(thm)],[f288,f935,f953,f594]) ).
fof(f957,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f289,f935,f953,f584]) ).
fof(f958,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f290,f935,f953,f862]) ).
fof(f959,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f291,f935,f953,f866]) ).
fof(f960,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f292,f935,f953,f870]) ).
fof(f961,plain,
( ~ spl0_114
| spl0_116
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f293,f935,f953,f874]) ).
fof(f962,plain,
( spl0_117
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f965,plain,
( ~ spl0_115
| spl0_117
| spl0_38 ),
inference(split_clause,[status(thm)],[f297,f944,f962,f584]) ).
fof(f966,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f298,f944,f962,f594]) ).
fof(f967,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f299,f944,f962,f862]) ).
fof(f968,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f300,f944,f962,f866]) ).
fof(f969,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f301,f944,f962,f870]) ).
fof(f970,plain,
( ~ spl0_115
| spl0_117
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f302,f944,f962,f874]) ).
fof(f971,plain,
( spl0_118
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( ~ spl0_116
| spl0_118
| spl0_40 ),
inference(split_clause,[status(thm)],[f306,f953,f971,f591]) ).
fof(f975,plain,
( ~ spl0_116
| spl0_118
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f307,f953,f971,f571]) ).
fof(f976,plain,
( ~ spl0_116
| spl0_118
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f308,f953,f971,f892]) ).
fof(f977,plain,
( ~ spl0_116
| spl0_118
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f309,f953,f971,f896]) ).
fof(f978,plain,
( ~ spl0_116
| spl0_118
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f310,f953,f971,f900]) ).
fof(f979,plain,
( ~ spl0_116
| spl0_118
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f311,f953,f971,f904]) ).
fof(f980,plain,
( spl0_119
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f983,plain,
( ~ spl0_117
| spl0_119
| spl0_34 ),
inference(split_clause,[status(thm)],[f315,f962,f980,f571]) ).
fof(f984,plain,
( ~ spl0_117
| spl0_119
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f316,f962,f980,f591]) ).
fof(f985,plain,
( ~ spl0_117
| spl0_119
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f317,f962,f980,f892]) ).
fof(f986,plain,
( ~ spl0_117
| spl0_119
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f318,f962,f980,f896]) ).
fof(f987,plain,
( ~ spl0_117
| spl0_119
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f319,f962,f980,f900]) ).
fof(f988,plain,
( ~ spl0_117
| spl0_119
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f320,f962,f980,f904]) ).
fof(f989,plain,
( spl0_120
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f992,plain,
( ~ spl0_118
| spl0_120
| spl0_23 ),
inference(split_clause,[status(thm)],[f324,f971,f989,f535]) ).
fof(f993,plain,
( ~ spl0_118
| spl0_120
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f325,f971,f989,f555]) ).
fof(f994,plain,
( ~ spl0_118
| spl0_120
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f326,f971,f989,f706]) ).
fof(f995,plain,
( ~ spl0_118
| spl0_120
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f327,f971,f989,f710]) ).
fof(f996,plain,
( ~ spl0_118
| spl0_120
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f328,f971,f989,f714]) ).
fof(f997,plain,
( ~ spl0_118
| spl0_120
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f329,f971,f989,f718]) ).
fof(f998,plain,
( spl0_121
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1001,plain,
( ~ spl0_119
| spl0_121
| spl0_29 ),
inference(split_clause,[status(thm)],[f333,f980,f998,f555]) ).
fof(f1002,plain,
( ~ spl0_119
| spl0_121
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f334,f980,f998,f535]) ).
fof(f1003,plain,
( ~ spl0_119
| spl0_121
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f335,f980,f998,f706]) ).
fof(f1004,plain,
( ~ spl0_119
| spl0_121
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f336,f980,f998,f710]) ).
fof(f1005,plain,
( ~ spl0_119
| spl0_121
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f337,f980,f998,f714]) ).
fof(f1006,plain,
( ~ spl0_119
| spl0_121
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f338,f980,f998,f718]) ).
fof(f1007,plain,
( spl0_122
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1010,plain,
( ~ spl0_120
| spl0_122
| spl0_22 ),
inference(split_clause,[status(thm)],[f342,f989,f1007,f532]) ).
fof(f1011,plain,
( ~ spl0_120
| spl0_122
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f343,f989,f1007,f542]) ).
fof(f1012,plain,
( ~ spl0_120
| spl0_122
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f344,f989,f1007,f832]) ).
fof(f1013,plain,
( ~ spl0_120
| spl0_122
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f345,f989,f1007,f836]) ).
fof(f1014,plain,
( ~ spl0_120
| spl0_122
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f346,f989,f1007,f840]) ).
fof(f1015,plain,
( ~ spl0_120
| spl0_122
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f347,f989,f1007,f844]) ).
fof(f1016,plain,
( spl0_123
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( ~ spl0_121
| spl0_123
| spl0_25 ),
inference(split_clause,[status(thm)],[f351,f998,f1016,f542]) ).
fof(f1020,plain,
( ~ spl0_121
| spl0_123
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f352,f998,f1016,f532]) ).
fof(f1021,plain,
( ~ spl0_121
| spl0_123
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f353,f998,f1016,f832]) ).
fof(f1022,plain,
( ~ spl0_121
| spl0_123
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f354,f998,f1016,f836]) ).
fof(f1023,plain,
( ~ spl0_121
| spl0_123
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f355,f998,f1016,f840]) ).
fof(f1024,plain,
( ~ spl0_121
| spl0_123
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f356,f998,f1016,f844]) ).
fof(f1025,plain,
( spl0_124
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1028,plain,
( ~ spl0_122
| spl0_124
| spl0_21 ),
inference(split_clause,[status(thm)],[f360,f1007,f1025,f529]) ).
fof(f1029,plain,
( ~ spl0_122
| spl0_124
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f361,f1007,f1025,f529]) ).
fof(f1030,plain,
( ~ spl0_122
| spl0_124
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f362,f1007,f1025,f862]) ).
fof(f1032,plain,
( ~ spl0_122
| spl0_124
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f364,f1007,f1025,f870]) ).
fof(f1033,plain,
( ~ spl0_122
| spl0_124
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f365,f1007,f1025,f874]) ).
fof(f1034,plain,
( spl0_125
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1037,plain,
( ~ spl0_123
| spl0_125
| spl0_21 ),
inference(split_clause,[status(thm)],[f369,f1016,f1034,f529]) ).
fof(f1038,plain,
( ~ spl0_123
| spl0_125
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f370,f1016,f1034,f529]) ).
fof(f1039,plain,
( ~ spl0_123
| spl0_125
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f371,f1016,f1034,f862]) ).
fof(f1041,plain,
( ~ spl0_123
| spl0_125
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f373,f1016,f1034,f870]) ).
fof(f1042,plain,
( ~ spl0_123
| spl0_125
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f374,f1016,f1034,f874]) ).
fof(f1043,plain,
( spl0_126
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1046,plain,
( ~ spl0_124
| spl0_126
| spl0_20 ),
inference(split_clause,[status(thm)],[f378,f1025,f1043,f526]) ).
fof(f1047,plain,
( ~ spl0_124
| spl0_126
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f379,f1025,f1043,f516]) ).
fof(f1048,plain,
( ~ spl0_124
| spl0_126
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f380,f1025,f1043,f892]) ).
fof(f1049,plain,
( ~ spl0_124
| spl0_126
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f381,f1025,f1043,f896]) ).
fof(f1050,plain,
( ~ spl0_124
| spl0_126
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f382,f1025,f1043,f900]) ).
fof(f1051,plain,
( ~ spl0_124
| spl0_126
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f383,f1025,f1043,f904]) ).
fof(f1052,plain,
( spl0_127
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1055,plain,
( ~ spl0_125
| spl0_127
| spl0_17 ),
inference(split_clause,[status(thm)],[f387,f1034,f1052,f516]) ).
fof(f1056,plain,
( ~ spl0_125
| spl0_127
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f388,f1034,f1052,f526]) ).
fof(f1057,plain,
( ~ spl0_125
| spl0_127
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f389,f1034,f1052,f892]) ).
fof(f1058,plain,
( ~ spl0_125
| spl0_127
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f390,f1034,f1052,f896]) ).
fof(f1059,plain,
( ~ spl0_125
| spl0_127
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f391,f1034,f1052,f900]) ).
fof(f1060,plain,
( ~ spl0_125
| spl0_127
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f392,f1034,f1052,f904]) ).
fof(f1061,plain,
( spl0_128
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1064,plain,
( ~ spl0_126
| spl0_128
| spl0_3 ),
inference(split_clause,[status(thm)],[f396,f1043,f1061,f470]) ).
fof(f1065,plain,
( ~ spl0_126
| spl0_128
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f397,f1043,f1061,f500]) ).
fof(f1066,plain,
( ~ spl0_126
| spl0_128
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f398,f1043,f1061,f706]) ).
fof(f1067,plain,
( ~ spl0_126
| spl0_128
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f399,f1043,f1061,f710]) ).
fof(f1068,plain,
( ~ spl0_126
| spl0_128
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f400,f1043,f1061,f714]) ).
fof(f1069,plain,
( ~ spl0_126
| spl0_128
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f401,f1043,f1061,f718]) ).
fof(f1070,plain,
( spl0_129
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1073,plain,
( ~ spl0_127
| spl0_129
| spl0_12 ),
inference(split_clause,[status(thm)],[f405,f1052,f1070,f500]) ).
fof(f1074,plain,
( ~ spl0_127
| spl0_129
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f406,f1052,f1070,f470]) ).
fof(f1075,plain,
( ~ spl0_127
| spl0_129
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f407,f1052,f1070,f706]) ).
fof(f1076,plain,
( ~ spl0_127
| spl0_129
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f408,f1052,f1070,f710]) ).
fof(f1077,plain,
( ~ spl0_127
| spl0_129
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f409,f1052,f1070,f714]) ).
fof(f1078,plain,
( ~ spl0_127
| spl0_129
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f410,f1052,f1070,f718]) ).
fof(f1079,plain,
( spl0_130
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1082,plain,
( ~ spl0_128
| spl0_130
| spl0_2 ),
inference(split_clause,[status(thm)],[f414,f1061,f1079,f467]) ).
fof(f1083,plain,
( ~ spl0_128
| spl0_130
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f415,f1061,f1079,f487]) ).
fof(f1084,plain,
( ~ spl0_128
| spl0_130
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f416,f1061,f1079,f832]) ).
fof(f1085,plain,
( ~ spl0_128
| spl0_130
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f417,f1061,f1079,f836]) ).
fof(f1086,plain,
( ~ spl0_128
| spl0_130
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f418,f1061,f1079,f840]) ).
fof(f1087,plain,
( ~ spl0_128
| spl0_130
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f419,f1061,f1079,f844]) ).
fof(f1088,plain,
( spl0_131
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1091,plain,
( ~ spl0_129
| spl0_131
| spl0_8 ),
inference(split_clause,[status(thm)],[f423,f1070,f1088,f487]) ).
fof(f1092,plain,
( ~ spl0_129
| spl0_131
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f424,f1070,f1088,f467]) ).
fof(f1093,plain,
( ~ spl0_129
| spl0_131
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f425,f1070,f1088,f832]) ).
fof(f1094,plain,
( ~ spl0_129
| spl0_131
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f426,f1070,f1088,f836]) ).
fof(f1095,plain,
( ~ spl0_129
| spl0_131
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f427,f1070,f1088,f840]) ).
fof(f1096,plain,
( ~ spl0_129
| spl0_131
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f428,f1070,f1088,f844]) ).
fof(f1097,plain,
( spl0_132
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1100,plain,
( ~ spl0_130
| spl0_132
| spl0_1 ),
inference(split_clause,[status(thm)],[f432,f1079,f1097,f464]) ).
fof(f1101,plain,
( ~ spl0_130
| spl0_132
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f433,f1079,f1097,f474]) ).
fof(f1102,plain,
( ~ spl0_130
| spl0_132
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f434,f1079,f1097,f862]) ).
fof(f1103,plain,
( ~ spl0_130
| spl0_132
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f435,f1079,f1097,f866]) ).
fof(f1104,plain,
( ~ spl0_130
| spl0_132
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f436,f1079,f1097,f870]) ).
fof(f1105,plain,
( ~ spl0_130
| spl0_132
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f437,f1079,f1097,f874]) ).
fof(f1106,plain,
( spl0_133
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1109,plain,
( ~ spl0_131
| spl0_133
| spl0_4 ),
inference(split_clause,[status(thm)],[f441,f1088,f1106,f474]) ).
fof(f1110,plain,
( ~ spl0_131
| spl0_133
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f442,f1088,f1106,f464]) ).
fof(f1111,plain,
( ~ spl0_131
| spl0_133
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f443,f1088,f1106,f862]) ).
fof(f1112,plain,
( ~ spl0_131
| spl0_133
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f444,f1088,f1106,f866]) ).
fof(f1113,plain,
( ~ spl0_131
| spl0_133
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f445,f1088,f1106,f870]) ).
fof(f1114,plain,
( ~ spl0_131
| spl0_133
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f446,f1088,f1106,f874]) ).
fof(f1115,plain,
( ~ spl0_132
| spl0_0 ),
inference(split_clause,[status(thm)],[f448,f1097,f461]) ).
fof(f1116,plain,
( ~ spl0_132
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f449,f1097,f461]) ).
fof(f1117,plain,
( ~ spl0_132
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f450,f1097,f892]) ).
fof(f1118,plain,
( ~ spl0_132
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f451,f1097,f896]) ).
fof(f1119,plain,
( ~ spl0_132
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f452,f1097,f900]) ).
fof(f1120,plain,
( ~ spl0_132
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f453,f1097,f904]) ).
fof(f1121,plain,
( ~ spl0_133
| spl0_0 ),
inference(split_clause,[status(thm)],[f455,f1106,f461]) ).
fof(f1122,plain,
( ~ spl0_133
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f456,f1106,f461]) ).
fof(f1123,plain,
( ~ spl0_133
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f457,f1106,f892]) ).
fof(f1124,plain,
( ~ spl0_133
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f458,f1106,f896]) ).
fof(f1125,plain,
( ~ spl0_133
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f459,f1106,f900]) ).
fof(f1126,plain,
( ~ spl0_133
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f460,f1106,f904]) ).
fof(f1127,plain,
( e1 = e3
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f504,f510]) ).
fof(f1128,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1127,f130]) ).
fof(f1129,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1128]) ).
fof(f1130,plain,
( e3 = e2
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f562,f559]) ).
fof(f1131,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1130,f131]) ).
fof(f1132,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
( e3 = e1
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f614,f608]) ).
fof(f1134,plain,
( $false
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f130]) ).
fof(f1135,plain,
( ~ spl0_47
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1134]) ).
fof(f1136,plain,
( e2 = e1
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f650,f647]) ).
fof(f1137,plain,
( $false
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f129]) ).
fof(f1138,plain,
( ~ spl0_58
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( e2 = e1
| ~ spl0_54
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f637,f634]) ).
fof(f1140,plain,
( $false
| ~ spl0_54
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1139,f129]) ).
fof(f1141,plain,
( ~ spl0_54
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1140]) ).
fof(f1142,plain,
( e2 = e1
| ~ spl0_50
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f624,f621]) ).
fof(f1143,plain,
( $false
| ~ spl0_50
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f129]) ).
fof(f1144,plain,
( ~ spl0_50
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1143]) ).
fof(f1145,plain,
( e0 = e3
| ~ spl0_24
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f540,f549]) ).
fof(f1146,plain,
( $false
| ~ spl0_24
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f128]) ).
fof(f1147,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1148,plain,
( e2 = e0
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f481,f475]) ).
fof(f1149,plain,
( $false
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1148,f127]) ).
fof(f1150,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( e2 = e0
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f507,f501]) ).
fof(f1152,plain,
( $false
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1151,f127]) ).
fof(f1153,plain,
( ~ spl0_14
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( e1 = e2
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f569,f572]) ).
fof(f1155,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1154,f129]) ).
fof(f1156,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1158,plain,
( e1 = e0
| ~ spl0_21
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f530,f527]) ).
fof(f1159,plain,
( $false
| ~ spl0_21
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f126]) ).
fof(f1160,plain,
( ~ spl0_21
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1162,plain,
( op(e0,e3) != e2
| ~ spl0_11
| spl0_109 ),
inference(backward_demodulation,[status(thm)],[f497,f902]) ).
fof(f1163,plain,
( ~ spl0_14
| ~ spl0_11
| spl0_109 ),
inference(split_clause,[status(thm)],[f1162,f506,f496,f900]) ).
fof(f1166,plain,
( op(e0,e0) != e3
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f497,f103]) ).
fof(f1167,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1166,f470,f496]) ).
fof(f1168,plain,
( e3 != op(e3,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f497,f92]) ).
fof(f1169,plain,
( ~ spl0_59
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1168,f652,f496]) ).
fof(f1170,plain,
( e3 != op(e2,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f497,f91]) ).
fof(f1171,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1170,f600,f496]) ).
fof(f1173,plain,
( op(e1,e3) != e0
| ~ spl0_19
| spl0_101 ),
inference(backward_demodulation,[status(thm)],[f523,f864]) ).
fof(f1174,plain,
( e0 != e0
| ~ spl0_28
| ~ spl0_19
| spl0_101 ),
inference(forward_demodulation,[status(thm)],[f553,f1173]) ).
fof(f1175,plain,
( $false
| ~ spl0_28
| ~ spl0_19
| spl0_101 ),
inference(trivial_equality_resolution,[status(esa)],[f1174]) ).
fof(f1176,plain,
( ~ spl0_28
| ~ spl0_19
| spl0_101 ),
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1183,plain,
( op(e0,e0) != e3
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f523,f78]) ).
fof(f1184,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1183,f470,f522]) ).
fof(f1185,plain,
( e2 = e0
| ~ spl0_2
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f468,f462]) ).
fof(f1186,plain,
( $false
| ~ spl0_2
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1185,f127]) ).
fof(f1187,plain,
( ~ spl0_2
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1186]) ).
fof(f1190,plain,
( op(e0,e3) != e3
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f666,f98]) ).
fof(f1191,plain,
( op(e0,e3) != e0
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f605,f97]) ).
fof(f1192,plain,
( op(e1,e3) != e3
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f666,f100]) ).
fof(f1193,plain,
( op(e2,e0) != e3
| ~ spl0_44
| spl0_98 ),
inference(forward_demodulation,[status(thm)],[f605,f846]) ).
fof(f1194,plain,
( e3 != e3
| ~ spl0_35
| ~ spl0_44
| spl0_98 ),
inference(forward_demodulation,[status(thm)],[f575,f1193]) ).
fof(f1195,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| spl0_98 ),
inference(trivial_equality_resolution,[status(esa)],[f1194]) ).
fof(f1196,plain,
( ~ spl0_35
| ~ spl0_44
| spl0_98 ),
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
( e2 != op(e2,e3)
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f598,f119]) ).
fof(f1205,plain,
( op(e3,e0) != e2
| ~ spl0_56
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f644,f716]) ).
fof(f1209,plain,
( e0 != op(e3,e2)
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f631,f123]) ).
fof(f1210,plain,
( e0 != e0
| ~ spl0_56
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f644,f1209]) ).
fof(f1211,plain,
( $false
| ~ spl0_56
| ~ spl0_52 ),
inference(trivial_equality_resolution,[status(esa)],[f1210]) ).
fof(f1212,plain,
( ~ spl0_56
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f1211]) ).
fof(f1215,plain,
( op(e3,e1) != e3
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f666,f124]) ).
fof(f1217,plain,
( op(e3,e0) != e0
| ~ spl0_48
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f618,f708]) ).
fof(f1218,plain,
( e0 != e0
| ~ spl0_48
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f618,f1217]) ).
fof(f1219,plain,
( $false
| ~ spl0_48
| spl0_65 ),
inference(trivial_equality_resolution,[status(esa)],[f1218]) ).
fof(f1220,plain,
( ~ spl0_48
| spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1219]) ).
fof(f1221,plain,
( op(e3,e0) != e3
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f666,f122]) ).
fof(f1222,plain,
( op(e1,e2) != e2
| ~ spl0_26
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f546,f872]) ).
fof(f1223,plain,
( e2 != e2
| ~ spl0_26
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f546,f1222]) ).
fof(f1224,plain,
( $false
| ~ spl0_26
| spl0_103 ),
inference(trivial_equality_resolution,[status(esa)],[f1223]) ).
fof(f1225,plain,
( ~ spl0_26
| spl0_103 ),
inference(contradiction_clause,[status(thm)],[f1224]) ).
fof(f1226,plain,
( op(e1,e2) != e2
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f598,f93]) ).
fof(f1227,plain,
( op(e2,e3) != e1
| ~ spl0_39
| spl0_96 ),
inference(backward_demodulation,[status(thm)],[f588,f838]) ).
fof(f1230,plain,
( op(e1,e1) != e3
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f588,f87]) ).
fof(f1231,plain,
( e2 = e1
| ~ spl0_10
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f494,f491]) ).
fof(f1232,plain,
( $false
| ~ spl0_10
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f129]) ).
fof(f1233,plain,
( ~ spl0_10
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1232]) ).
fof(f1234,plain,
( e3 = e1
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f588,f582]) ).
fof(f1235,plain,
( $false
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f130]) ).
fof(f1236,plain,
( ~ spl0_39
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1237,plain,
( e1 = e3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f478,f484]) ).
fof(f1238,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1237,f130]) ).
fof(f1239,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1238]) ).
fof(f1240,plain,
( $false
| ~ spl0_63
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f1190]) ).
fof(f1241,plain,
( ~ spl0_63
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1242,plain,
( op(e2,e0) != e2
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f598,f115]) ).
fof(f1243,plain,
( op(e2,e2) != e2
| ~ spl0_42
| spl0_97 ),
inference(backward_demodulation,[status(thm)],[f598,f842]) ).
fof(f1244,plain,
( e2 != e2
| ~ spl0_42
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f598,f1243]) ).
fof(f1245,plain,
( $false
| ~ spl0_42
| spl0_97 ),
inference(trivial_equality_resolution,[status(esa)],[f1244]) ).
fof(f1246,plain,
( ~ spl0_42
| spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1245]) ).
fof(f1250,plain,
( e1 != op(e3,e0)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f517,f82]) ).
fof(f1251,plain,
( e1 != op(e2,e0)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f517,f81]) ).
fof(f1253,plain,
( op(e0,e0) != e0
| ~ spl0_0
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f462,f894]) ).
fof(f1254,plain,
( e0 != e0
| ~ spl0_0
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f462,f1253]) ).
fof(f1255,plain,
( $false
| ~ spl0_0
| spl0_107 ),
inference(trivial_equality_resolution,[status(esa)],[f1254]) ).
fof(f1256,plain,
( ~ spl0_0
| spl0_107 ),
inference(contradiction_clause,[status(thm)],[f1255]) ).
fof(f1259,plain,
( op(e0,e3) != e2
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f611,f97]) ).
fof(f1261,plain,
( op(e1,e1) != e1
| ~ spl0_21
| spl0_102 ),
inference(backward_demodulation,[status(thm)],[f530,f868]) ).
fof(f1262,plain,
( ~ spl0_21
| spl0_102 ),
inference(split_clause,[status(thm)],[f1261,f529,f866]) ).
fof(f1263,plain,
( e1 = e0
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f517,f514]) ).
fof(f1264,plain,
( $false
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f1263,f126]) ).
fof(f1265,plain,
( ~ spl0_17
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f1264]) ).
fof(f1277,plain,
( op(e3,e3) != e3
| ~ spl0_63
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f666,f720]) ).
fof(f1278,plain,
( ~ spl0_63
| spl0_68 ),
inference(split_clause,[status(thm)],[f1277,f665,f718]) ).
fof(f1282,plain,
( ~ spl0_55
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1215,f639,f665]) ).
fof(f1283,plain,
( ~ spl0_51
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1221,f626,f665]) ).
fof(f1288,plain,
( e1 != op(e2,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f504,f97]) ).
fof(f1290,plain,
( e1 != op(e1,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f504,f96]) ).
fof(f1291,plain,
( ~ spl0_29
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1290,f555,f503]) ).
fof(f1293,plain,
( op(e2,e2) != e1
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f647,f95]) ).
fof(f1295,plain,
( op(e1,e2) != e1
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f647,f94]) ).
fof(f1298,plain,
( e0 != op(e2,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f488,f91]) ).
fof(f1299,plain,
( ~ spl0_40
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1298,f591,f487]) ).
fof(f1302,plain,
( op(e0,e0) != e0
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f488,f103]) ).
fof(f1303,plain,
( op(e0,e1) != e0
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f488,f105]) ).
fof(f1304,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1303,f474,f487]) ).
fof(f1337,plain,
( op(e1,e1) != e3
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f549,f111]) ).
fof(f1341,plain,
( e0 = e3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f475,f484]) ).
fof(f1342,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f128]) ).
fof(f1343,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( op(e0,e0) != e3
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f627,f80]) ).
fof(f1347,plain,
( op(e2,e3) != e3
| ~ spl0_47
| spl0_98 ),
inference(backward_demodulation,[status(thm)],[f614,f846]) ).
fof(f1348,plain,
( ~ spl0_47
| spl0_98 ),
inference(split_clause,[status(thm)],[f1347,f613,f844]) ).
fof(f1350,plain,
( e2 != op(e2,e0)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f520,f81]) ).
fof(f1352,plain,
( e2 != op(e3,e0)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f520,f82]) ).
fof(f1354,plain,
( e2 != op(e1,e1)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f520,f108]) ).
fof(f1356,plain,
( e2 != op(e1,e3)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f520,f110]) ).
fof(f1360,plain,
( op(e2,e1) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f614,f118]) ).
fof(f1362,plain,
( e3 != op(e3,e3)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f614,f101]) ).
fof(f1364,plain,
( e2 = e3
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f611,f614]) ).
fof(f1365,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f131]) ).
fof(f1366,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1369,plain,
( op(e3,e3) != e0
| ~ spl0_51
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f627,f708]) ).
fof(f1370,plain,
( e3 != op(e3,e2)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f627,f121]) ).
fof(f1371,plain,
( ~ spl0_59
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1370,f652,f626]) ).
fof(f1372,plain,
( e3 != op(e3,e1)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f627,f120]) ).
fof(f1374,plain,
( op(e2,e0) != e3
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f627,f83]) ).
fof(f1379,plain,
( op(e1,e2) != e0
| ~ spl0_18
| spl0_101 ),
inference(backward_demodulation,[status(thm)],[f520,f864]) ).
fof(f1386,plain,
( e1 != op(e2,e2)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f543,f93]) ).
fof(f1387,plain,
( e2 = e1
| ~ spl0_6
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f481,f478]) ).
fof(f1388,plain,
( $false
| ~ spl0_6
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f129]) ).
fof(f1389,plain,
( ~ spl0_6
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f1388]) ).
fof(f1390,plain,
( op(e0,e2) != e1
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f543,f90]) ).
fof(f1391,plain,
( $false
| ~ spl0_25
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f1386]) ).
fof(f1392,plain,
( ~ spl0_25
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1394,plain,
( op(e1,e3) != e3
| ~ spl0_31
| spl0_104 ),
inference(backward_demodulation,[status(thm)],[f562,f876]) ).
fof(f1395,plain,
( ~ spl0_31
| spl0_104 ),
inference(split_clause,[status(thm)],[f1394,f561,f874]) ).
fof(f1409,plain,
( ~ spl0_46
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f1197,f610,f597]) ).
fof(f1411,plain,
( e0 = e3
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f566,f575]) ).
fof(f1412,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1411,f128]) ).
fof(f1413,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1421,plain,
( op(e1,e2) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f556,f113]) ).
fof(f1422,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1421,f542,f555]) ).
fof(f1423,plain,
( op(e1,e1) != e3
| ~ spl0_29
| spl0_104 ),
inference(backward_demodulation,[status(thm)],[f556,f876]) ).
fof(f1424,plain,
( e2 = e3
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f585,f588]) ).
fof(f1425,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f131]) ).
fof(f1426,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1427,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1230,f535,f587]) ).
fof(f1428,plain,
( e3 != op(e3,e1)
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f588,f89]) ).
fof(f1429,plain,
( ~ spl0_55
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1428,f639,f587]) ).
fof(f1430,plain,
( ~ spl0_3
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1345,f470,f626]) ).
fof(f1431,plain,
( ~ spl0_60
| ~ spl0_51
| spl0_65 ),
inference(split_clause,[status(thm)],[f1369,f656,f626,f706]) ).
fof(f1432,plain,
( ~ spl0_55
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1372,f639,f626]) ).
fof(f1433,plain,
( e1 != op(e0,e2)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f465,f103]) ).
fof(f1434,plain,
( ~ spl0_9
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1433,f490,f464]) ).
fof(f1435,plain,
( e2 != op(op(op(e0,e0),e0),e1)
| ~ spl0_1
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f465,f744]) ).
fof(f1436,plain,
( e2 != op(op(e1,e0),e1)
| ~ spl0_1
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f465,f1435]) ).
fof(f1440,plain,
( e3 != op(op(op(e0,e0),e0),e1)
| ~ spl0_1
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f465,f752]) ).
fof(f1441,plain,
( e3 != op(op(e1,e0),e1)
| ~ spl0_1
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f465,f1440]) ).
fof(f1442,plain,
( e3 != op(e2,e1)
| ~ spl0_18
| ~ spl0_1
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f520,f1441]) ).
fof(f1445,plain,
( ~ spl0_45
| ~ spl0_39
| spl0_96 ),
inference(split_clause,[status(thm)],[f1227,f607,f587,f836]) ).
fof(f1446,plain,
( ~ spl0_34
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1350,f571,f519]) ).
fof(f1447,plain,
( ~ spl0_23
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1337,f535,f548]) ).
fof(f1454,plain,
( e2 != op(e1,e0)
| ~ spl0_1
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f465,f736]) ).
fof(f1455,plain,
( e2 != e2
| ~ spl0_18
| ~ spl0_1
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f520,f1454]) ).
fof(f1456,plain,
( $false
| ~ spl0_18
| ~ spl0_1
| spl0_71 ),
inference(trivial_equality_resolution,[status(esa)],[f1455]) ).
fof(f1457,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1456]) ).
fof(f1460,plain,
( op(e1,e1) != e0
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f579,f87]) ).
fof(f1461,plain,
( ~ spl0_20
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1460,f526,f578]) ).
fof(f1462,plain,
( e0 != op(e3,e1)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f579,f89]) ).
fof(f1463,plain,
( ~ spl0_52
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1462,f630,f578]) ).
fof(f1466,plain,
( op(e2,e2) = e2
| ~ spl0_42
| ~ spl0_97 ),
inference(backward_demodulation,[status(thm)],[f598,f841]) ).
fof(f1471,plain,
( op(e0,e1) != e3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f510,f106]) ).
fof(f1494,plain,
( ~ spl0_26
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f1226,f545,f597]) ).
fof(f1495,plain,
( ~ spl0_34
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f1242,f571,f597]) ).
fof(f1503,plain,
( op(e0,e3) != e3
| ~ spl0_15
| spl0_110 ),
inference(backward_demodulation,[status(thm)],[f510,f906]) ).
fof(f1504,plain,
( ~ spl0_15
| spl0_110 ),
inference(split_clause,[status(thm)],[f1503,f509,f904]) ).
fof(f1512,plain,
( e3 = e0
| ~ spl0_15
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f510,f501]) ).
fof(f1513,plain,
( $false
| ~ spl0_15
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1512,f128]) ).
fof(f1514,plain,
( ~ spl0_15
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1513]) ).
fof(f1515,plain,
( e0 = e1
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f579,f582]) ).
fof(f1516,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f126]) ).
fof(f1517,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1516]) ).
fof(f1518,plain,
( e0 != op(e1,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f488,f90]) ).
fof(f1519,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1518,f539,f487]) ).
fof(f1520,plain,
( e2 != op(e3,e1)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f585,f89]) ).
fof(f1521,plain,
( op(e3,e1) != e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f660,f124]) ).
fof(f1523,plain,
( op(e0,e3) != e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f660,f98]) ).
fof(f1532,plain,
( e3 != op(e3,e2)
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f601,f95]) ).
fof(f1539,plain,
( e2 != op(e3,e0)
| ~ spl0_3
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f471,f736]) ).
fof(f1541,plain,
( e1 != op(op(op(e0,e0),e0),e3)
| ~ spl0_3
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f471,f733]) ).
fof(f1545,plain,
( op(e3,e0) != e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f660,f122]) ).
fof(f1546,plain,
( op(e2,e3) != e2
| ~ spl0_43
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f601,f842]) ).
fof(f1548,plain,
( $false
| ~ spl0_61
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f1545]) ).
fof(f1549,plain,
( ~ spl0_61
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
( op(e2,e0) != e0
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f605,f116]) ).
fof(f1555,plain,
( op(e0,e0) != e1
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f569,f79]) ).
fof(f1556,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1555,f464,f568]) ).
fof(f1558,plain,
( e2 != op(e2,e3)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f585,f118]) ).
fof(f1560,plain,
( e1 != op(e2,e1)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f569,f114]) ).
fof(f1564,plain,
( e2 != op(e2,e2)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f585,f117]) ).
fof(f1565,plain,
( op(e0,e1) != e2
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f585,f85]) ).
fof(f1568,plain,
( op(e1,e3) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f605,f99]) ).
fof(f1569,plain,
( ~ spl0_28
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1568,f552,f604]) ).
fof(f1574,plain,
( e2 != op(e1,e3)
| ~ spl0_61
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f660,f812]) ).
fof(f1575,plain,
( ~ spl0_30
| ~ spl0_61
| spl0_90 ),
inference(split_clause,[status(thm)],[f1574,f558,f659,f810]) ).
fof(f1577,plain,
( op(e3,e2) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f660,f125]) ).
fof(f1579,plain,
( e2 != op(op(op(e3,e3),e3),e1)
| ~ spl0_61
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f660,f824]) ).
fof(f1580,plain,
( e2 != op(op(e1,e3),e1)
| ~ spl0_61
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f660,f1579]) ).
fof(f1583,plain,
( e3 != op(e1,e3)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f536,f112]) ).
fof(f1584,plain,
( e2 != op(op(op(e1,e1),e1),e3)
| ~ spl0_23
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f536,f768]) ).
fof(f1585,plain,
( e2 != op(op(e3,e1),e3)
| ~ spl0_23
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f536,f1584]) ).
fof(f1586,plain,
( e0 != op(op(e1,e3),op(e3,e3))
| ~ spl0_61
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f660,f805]) ).
fof(f1587,plain,
( e0 != op(op(e1,e3),e1)
| ~ spl0_61
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f660,f1586]) ).
fof(f1598,plain,
( e3 = e0
| ~ spl0_23
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f536,f527]) ).
fof(f1599,plain,
( $false
| ~ spl0_23
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1598,f128]) ).
fof(f1600,plain,
( ~ spl0_23
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1599]) ).
fof(f1606,plain,
( $false
| ~ spl0_38
| ~ spl0_42
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1466,f1564]) ).
fof(f1607,plain,
( ~ spl0_38
| ~ spl0_42
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1606]) ).
fof(f1631,plain,
( e1 != op(e1,e0)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f465,f78]) ).
fof(f1635,plain,
( ~ spl0_50
| ~ spl0_56
| spl0_67 ),
inference(split_clause,[status(thm)],[f1205,f623,f643,f714]) ).
fof(f1636,plain,
( $false
| ~ spl0_61
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f1521]) ).
fof(f1637,plain,
( ~ spl0_61
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1636]) ).
fof(f1640,plain,
( op(e0,e2) != e0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f501,f107]) ).
fof(f1641,plain,
( e3 != op(op(e0,e1),op(e1,e1))
| ~ spl0_20
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f527,f776]) ).
fof(f1642,plain,
( e3 != op(op(e0,e1),e0)
| ~ spl0_20
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f527,f1641]) ).
fof(f1648,plain,
( op(e1,e0) != e0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f527,f108]) ).
fof(f1649,plain,
( e0 != op(e1,e3)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f527,f112]) ).
fof(f1654,plain,
( e0 != op(e2,e2)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f566,f115]) ).
fof(f1657,plain,
( ~ spl0_25
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1295,f542,f646]) ).
fof(f1664,plain,
( e0 != op(e3,e0)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f566,f83]) ).
fof(f1670,plain,
( $false
| ~ spl0_20
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f1648]) ).
fof(f1671,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f1670]) ).
fof(f1681,plain,
( op(e1,e0) != e3
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f627,f82]) ).
fof(f1682,plain,
( op(e2,e0) != e0
| ~ spl0_32
| spl0_95 ),
inference(backward_demodulation,[status(thm)],[f566,f834]) ).
fof(f1683,plain,
( ~ spl0_32
| spl0_95 ),
inference(split_clause,[status(thm)],[f1682,f565,f832]) ).
fof(f1712,plain,
( op(e1,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f660,f100]) ).
fof(f1713,plain,
( ~ spl0_29
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1712,f555,f659]) ).
fof(f1716,plain,
( ~ spl0_57
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1577,f646,f659]) ).
fof(f1718,plain,
( ~ spl0_28
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1649,f552,f526]) ).
fof(f1720,plain,
( op(e1,e3) != e2
| ~ spl0_27
| spl0_103 ),
inference(backward_demodulation,[status(thm)],[f549,f872]) ).
fof(f1721,plain,
( ~ spl0_30
| ~ spl0_27
| spl0_103 ),
inference(split_clause,[status(thm)],[f1720,f558,f548,f870]) ).
fof(f1725,plain,
( op(e3,e1) != e2
| ~ spl0_57
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f647,f716]) ).
fof(f1726,plain,
( ~ spl0_54
| ~ spl0_57
| spl0_67 ),
inference(split_clause,[status(thm)],[f1725,f636,f646,f714]) ).
fof(f1727,plain,
( op(e3,e2) != e1
| ~ spl0_54
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f637,f712]) ).
fof(f1728,plain,
( ~ spl0_57
| ~ spl0_54
| spl0_66 ),
inference(split_clause,[status(thm)],[f1727,f646,f636,f710]) ).
fof(f1731,plain,
( op(e3,e0) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f637,f120]) ).
fof(f1737,plain,
( $false
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f1631]) ).
fof(f1738,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
( e1 != op(e2,e1)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f478,f85]) ).
fof(f1742,plain,
( op(e0,e1) != e1
| ~ spl0_5
| spl0_108 ),
inference(forward_demodulation,[status(thm)],[f478,f898]) ).
fof(f1743,plain,
( e1 != e1
| ~ spl0_5
| spl0_108 ),
inference(forward_demodulation,[status(thm)],[f478,f1742]) ).
fof(f1744,plain,
( $false
| ~ spl0_5
| spl0_108 ),
inference(trivial_equality_resolution,[status(esa)],[f1743]) ).
fof(f1745,plain,
( ~ spl0_5
| spl0_108 ),
inference(contradiction_clause,[status(thm)],[f1744]) ).
fof(f1761,plain,
( op(e2,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f660,f101]) ).
fof(f1762,plain,
( ~ spl0_45
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1761,f607,f659]) ).
fof(f1764,plain,
( ~ spl0_59
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1532,f652,f600]) ).
fof(f1765,plain,
( ~ spl0_46
| ~ spl0_43
| spl0_97 ),
inference(split_clause,[status(thm)],[f1546,f610,f600,f840]) ).
fof(f1767,plain,
( e1 != op(op(e3,e0),e3)
| ~ spl0_3
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f471,f1541]) ).
fof(f1789,plain,
( op(e3,e2) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f666,f125]) ).
fof(f1790,plain,
( ~ spl0_59
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1789,f652,f665]) ).
fof(f1791,plain,
( e1 = e3
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f660,f666]) ).
fof(f1792,plain,
( $false
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1791,f130]) ).
fof(f1793,plain,
( ~ spl0_61
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f1792]) ).
fof(f1804,plain,
( e3 != op(e2,e0)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f471,f79]) ).
fof(f1816,plain,
( ~ spl0_37
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1560,f581,f568]) ).
fof(f1819,plain,
( ~ spl0_22
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1354,f532,f519]) ).
fof(f1820,plain,
( ~ spl0_30
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1356,f558,f519]) ).
fof(f1822,plain,
( ~ spl0_50
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1352,f623,f519]) ).
fof(f1828,plain,
( op(e1,e0) != e1
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f543,f109]) ).
fof(f1833,plain,
( op(e1,e1) != e2
| ~ spl0_25
| spl0_103 ),
inference(backward_demodulation,[status(thm)],[f543,f872]) ).
fof(f1834,plain,
( ~ spl0_22
| ~ spl0_25
| spl0_103 ),
inference(split_clause,[status(thm)],[f1833,f532,f542,f870]) ).
fof(f1837,plain,
( ~ spl0_24
| ~ spl0_18
| spl0_101 ),
inference(split_clause,[status(thm)],[f1379,f539,f519,f862]) ).
fof(f1841,plain,
( e0 != op(e1,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f501,f96]) ).
fof(f1842,plain,
( ~ spl0_28
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1841,f552,f500]) ).
fof(f1843,plain,
( op(e0,e1) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f501,f106]) ).
fof(f1844,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1843,f474,f500]) ).
fof(f1871,plain,
( e2 != op(e2,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f494,f91]) ).
fof(f1872,plain,
( ~ spl0_42
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1871,f597,f493]) ).
fof(f1903,plain,
( e0 != op(e1,e3)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f540,f113]) ).
fof(f1904,plain,
( ~ spl0_28
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1903,f552,f539]) ).
fof(f1911,plain,
( e1 = e0
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f543,f540]) ).
fof(f1912,plain,
( $false
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1911,f126]) ).
fof(f1913,plain,
( ~ spl0_25
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1916,plain,
( e3 = e2
| ~ spl0_23
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f536,f533]) ).
fof(f1917,plain,
( $false
| ~ spl0_23
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1916,f131]) ).
fof(f1918,plain,
( ~ spl0_23
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1917]) ).
fof(f1924,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1681,f522,f626]) ).
fof(f1940,plain,
( op(e2,e2) != e2
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f650,f95]) ).
fof(f1941,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1940,f597,f649]) ).
fof(f1942,plain,
( e3 != op(e0,e2)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f484,f105]) ).
fof(f1943,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1942,f496,f483]) ).
fof(f1957,plain,
( e3 != op(op(op(e0,e0),e0),e2)
| ~ spl0_2
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f468,f752]) ).
fof(f1958,plain,
( e1 != op(op(op(e0,e0),e0),e2)
| ~ spl0_2
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f468,f733]) ).
fof(f1960,plain,
( op(e3,e0) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f631,f120]) ).
fof(f1961,plain,
( ~ spl0_48
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1960,f617,f630]) ).
fof(f1967,plain,
( e3 != op(e0,e1)
| ~ spl0_20
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f527,f764]) ).
fof(f1968,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_78 ),
inference(split_clause,[status(thm)],[f1967,f483,f526,f762]) ).
fof(f1969,plain,
( e1 = e3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f491,f497]) ).
fof(f1970,plain,
( $false
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1969,f130]) ).
fof(f1971,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1970]) ).
fof(f1976,plain,
( e3 = e2
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f484,f481]) ).
fof(f1977,plain,
( $false
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1976,f131]) ).
fof(f1978,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1977]) ).
fof(f1990,plain,
( ~ spl0_54
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1520,f636,f584]) ).
fof(f2010,plain,
( op(e0,e0) != e1
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f569,f79]) ).
fof(f2026,plain,
( e2 != op(e3,e1)
| ~ spl0_23
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f536,f760]) ).
fof(f2027,plain,
( ~ spl0_54
| ~ spl0_23
| spl0_77 ),
inference(split_clause,[status(thm)],[f2026,f636,f535,f758]) ).
fof(f2028,plain,
( e1 != op(e2,e0)
| ~ spl0_2
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f468,f747]) ).
fof(f2029,plain,
( ~ spl0_33
| ~ spl0_2
| spl0_74 ),
inference(split_clause,[status(thm)],[f2028,f568,f467,f745]) ).
fof(f2062,plain,
( e2 = e1
| ~ spl0_62
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f663,f660]) ).
fof(f2063,plain,
( $false
| ~ spl0_62
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f129]) ).
fof(f2064,plain,
( ~ spl0_62
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2065,plain,
( ~ spl0_13
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1523,f503,f659]) ).
fof(f2070,plain,
( e0 != op(e2,e1)
| ~ spl0_30
| ~ spl0_61
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f559,f1587]) ).
fof(f2074,plain,
( op(e0,e0) = e1
| ~ spl0_4
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f475,f897]) ).
fof(f2075,plain,
( $false
| ~ spl0_33
| ~ spl0_4
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f2074,f2010]) ).
fof(f2076,plain,
( ~ spl0_33
| ~ spl0_4
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2078,plain,
( e1 != op(op(e2,e0),e2)
| ~ spl0_2
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f468,f1958]) ).
fof(f2079,plain,
( e3 != op(op(e2,e0),e2)
| ~ spl0_2
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f468,f1957]) ).
fof(f2080,plain,
( e2 != op(e1,e0)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f468,f78]) ).
fof(f2081,plain,
( ~ spl0_18
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2080,f519,f467]) ).
fof(f2087,plain,
( e2 != op(e0,e2)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f468,f103]) ).
fof(f2094,plain,
( op(e2,e2) != e0
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f644,f95]) ).
fof(f2099,plain,
( ~ spl0_45
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1288,f607,f503]) ).
fof(f2101,plain,
( op(e3,e2) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f663,f125]) ).
fof(f2103,plain,
( e1 != op(op(op(e3,e3),e3),e2)
| ~ spl0_62
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f663,f816]) ).
fof(f2104,plain,
( e0 != op(op(op(e3,e3),e3),e2)
| ~ spl0_62
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f663,f805]) ).
fof(f2111,plain,
( e1 = e0
| ~ spl0_13
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f504,f501]) ).
fof(f2112,plain,
( $false
| ~ spl0_13
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2111,f126]) ).
fof(f2113,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2112]) ).
fof(f2116,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1828,f516,f542]) ).
fof(f2119,plain,
( e0 != op(e3,e1)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f527,f88]) ).
fof(f2120,plain,
( ~ spl0_52
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f2119,f630,f526]) ).
fof(f2127,plain,
( op(e1,e1) = e2
| ~ spl0_25
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f543,f871]) ).
fof(f2127_001,plain,
( op(e1,e1) = e2
| ~ spl0_25
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f543,f871]) ).
fof(f2128,plain,
( e0 = e2
| ~ spl0_20
| ~ spl0_25
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f527,f2127]) ).
fof(f2129,plain,
( $false
| ~ spl0_20
| ~ spl0_25
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f2128,f127]) ).
fof(f2130,plain,
( ~ spl0_20
| ~ spl0_25
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f2129]) ).
fof(f2135,plain,
( op(e3,e1) != e3
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f653,f123]) ).
fof(f2136,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f2135,f639,f652]) ).
fof(f2144,plain,
( op(e0,e0) != e3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f510,f104]) ).
fof(f2145,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2144,f470,f509]) ).
fof(f2146,plain,
( ~ spl0_50
| ~ spl0_3
| spl0_71 ),
inference(split_clause,[status(thm)],[f1539,f623,f470,f734]) ).
fof(f2147,plain,
( e3 != op(e1,e3)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f510,f96]) ).
fof(f2154,plain,
( ~ spl0_35
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1804,f574,f470]) ).
fof(f2167,plain,
( e0 != op(e0,e3)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f462,f104]) ).
fof(f2168,plain,
( ~ spl0_12
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2167,f500,f461]) ).
fof(f2176,plain,
( op(e2,e2) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f608,f119]) ).
fof(f2177,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2176,f594,f607]) ).
fof(f2179,plain,
( ~ spl0_31
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1583,f561,f535]) ).
fof(f2200,plain,
( ~ spl0_49
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1250,f620,f516]) ).
fof(f2203,plain,
( e0 = e3
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f462,f471]) ).
fof(f2204,plain,
( $false
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2203,f128]) ).
fof(f2205,plain,
( ~ spl0_0
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
( op(e0,e3) != e0
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f657,f98]) ).
fof(f2213,plain,
( ~ spl0_50
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1731,f623,f636]) ).
fof(f2231,plain,
( e0 != op(op(op(e1,e1),e1),e3)
| ~ spl0_23
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f536,f757]) ).
fof(f2232,plain,
( e0 != op(op(e3,e1),e3)
| ~ spl0_23
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f536,f2231]) ).
fof(f2233,plain,
( e0 != op(e2,e3)
| ~ spl0_54
| ~ spl0_23
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f637,f2232]) ).
fof(f2236,plain,
( op(e3,e1) != e0
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f657,f124]) ).
fof(f2238,plain,
( e1 != op(op(op(e3,e3),e3),e0)
| ~ spl0_60
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f657,f816]) ).
fof(f2239,plain,
( e1 != op(op(e0,e3),e0)
| ~ spl0_60
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f657,f2238]) ).
fof(f2242,plain,
( e2 != op(op(op(e3,e3),e3),e0)
| ~ spl0_60
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f657,f824]) ).
fof(f2243,plain,
( e2 != op(op(e0,e3),e0)
| ~ spl0_60
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f657,f2242]) ).
fof(f2252,plain,
( e2 != op(e3,e3)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f559,f100]) ).
fof(f2263,plain,
( op(e1,e1) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f640,f88]) ).
fof(f2264,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2263,f535,f639]) ).
fof(f2265,plain,
( e2 = e3
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f637,f640]) ).
fof(f2266,plain,
( $false
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f2265,f131]) ).
fof(f2267,plain,
( ~ spl0_54
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f2266]) ).
fof(f2268,plain,
( e2 != op(e3,e3)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f624,f122]) ).
fof(f2270,plain,
( op(e0,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f624,f80]) ).
fof(f2271,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2270,f467,f623]) ).
fof(f2276,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2087,f493,f467]) ).
fof(f2286,plain,
( e2 != op(e3,e2)
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f624,f121]) ).
fof(f2310,plain,
( e0 != op(e3,e3)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f605,f101]) ).
fof(f2311,plain,
( ~ spl0_60
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f2310,f656,f604]) ).
fof(f2314,plain,
( ~ spl0_32
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1550,f565,f604]) ).
fof(f2323,plain,
( e0 != op(e3,e1)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f475,f86]) ).
fof(f2327,plain,
( e1 != op(e2,e3)
| ~ spl0_50
| ~ spl0_3
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f624,f1767]) ).
fof(f2333,plain,
( e2 = op(e3,e0)
| ~ spl0_3
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f471,f735]) ).
fof(f2340,plain,
( e2 != op(e0,e3)
| ~ spl0_52
| ~ spl0_23
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f631,f1585]) ).
fof(f2341,plain,
( ~ spl0_14
| ~ spl0_52
| ~ spl0_23
| spl0_79 ),
inference(split_clause,[status(thm)],[f2340,f506,f630,f535,f766]) ).
fof(f2347,plain,
( op(e0,e3) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f559,f96]) ).
fof(f2348,plain,
( ~ spl0_14
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2347,f506,f558]) ).
fof(f2354,plain,
( e3 != op(op(op(e2,e2),e2),e1)
| ~ spl0_41
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f595,f800]) ).
fof(f2355,plain,
( op(e0,e2) != e1
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f595,f91]) ).
fof(f2356,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f2355,f490,f594]) ).
fof(f2358,plain,
( $false
| ~ spl0_4
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f2323]) ).
fof(f2359,plain,
( ~ spl0_4
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f2358]) ).
fof(f2365,plain,
( ~ spl0_48
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1664,f617,f565]) ).
fof(f2373,plain,
( op(e2,e0) != e2
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f585,f114]) ).
fof(f2378,plain,
( op(e2,e2) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f614,f119]) ).
fof(f2379,plain,
( ~ spl0_43
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f2378,f600,f613]) ).
fof(f2401,plain,
( e3 != op(e0,e2)
| ~ spl0_32
| ~ spl0_2
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f566,f2079]) ).
fof(f2402,plain,
( e3 != op(op(op(e0,e0),e0),e2)
| ~ spl0_2
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f468,f752]) ).
fof(f2418,plain,
( e3 != op(e3,e0)
| ~ spl0_7
| ~ spl0_20
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f484,f1642]) ).
fof(f2422,plain,
( e1 = e0
| ~ spl0_61
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f660,f657]) ).
fof(f2423,plain,
( $false
| ~ spl0_61
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f2422,f126]) ).
fof(f2424,plain,
( ~ spl0_61
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f2423]) ).
fof(f2430,plain,
( op(e0,e1) != e0
| ~ spl0_1
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f465,f894]) ).
fof(f2431,plain,
( ~ spl0_4
| ~ spl0_1
| spl0_107 ),
inference(split_clause,[status(thm)],[f2430,f474,f464,f892]) ).
fof(f2438,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2094,f591,f643]) ).
fof(f2458,plain,
( op(e0,e2) != e3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f510,f107]) ).
fof(f2459,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2458,f496,f509]) ).
fof(f2466,plain,
( ~ spl0_35
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1374,f574,f626]) ).
fof(f2482,plain,
( e1 != op(e2,e2)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f582,f117]) ).
fof(f2483,plain,
( ~ spl0_41
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2482,f594,f581]) ).
fof(f2486,plain,
( op(e2,e3) = e3
| ~ spl0_47
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f614,f845]) ).
fof(f2491,plain,
( op(e0,e0) != e0
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f566,f79]) ).
fof(f2492,plain,
( ~ spl0_0
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f2491,f461,f565]) ).
fof(f2494,plain,
( op(e1,e0) != e0
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f566,f81]) ).
fof(f2511,plain,
( e0 != op(e0,e1)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f462,f102]) ).
fof(f2515,plain,
( e1 != op(e1,e0)
| ~ spl0_13
| ~ spl0_60
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f504,f2239]) ).
fof(f2516,plain,
( ~ spl0_17
| ~ spl0_13
| ~ spl0_60
| spl0_91 ),
inference(split_clause,[status(thm)],[f2515,f516,f503,f656,f814]) ).
fof(f2526,plain,
( e3 != op(op(e1,e2),e1)
| ~ spl0_41
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f595,f2354]) ).
fof(f2529,plain,
( ~ spl0_52
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2236,f630,f656]) ).
fof(f2554,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1293,f594,f646]) ).
fof(f2575,plain,
( e3 = e0
| ~ spl0_55
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f640,f631]) ).
fof(f2576,plain,
( $false
| ~ spl0_55
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f2575,f128]) ).
fof(f2577,plain,
( ~ spl0_55
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f2576]) ).
fof(f2587,plain,
( e3 != op(e2,e1)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f575,f114]) ).
fof(f2588,plain,
( op(e1,e0) != e3
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f575,f81]) ).
fof(f2591,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1390,f490,f542]) ).
fof(f2598,plain,
( op(e1,e1) != e2
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f585,f87]) ).
fof(f2599,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2598,f532,f584]) ).
fof(f2600,plain,
( ~ spl0_46
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1558,f610,f584]) ).
fof(f2626,plain,
( e3 != op(e2,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f484,f85]) ).
fof(f2644,plain,
( op(e2,e1) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f608,f118]) ).
fof(f2645,plain,
( ~ spl0_37
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2644,f581,f607]) ).
fof(f2646,plain,
( op(e2,e0) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f608,f116]) ).
fof(f2687,plain,
( e3 != op(op(e2,e0),e2)
| ~ spl0_2
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f468,f2402]) ).
fof(f2688,plain,
( e3 != op(op(e0,e2),op(e2,e2))
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f592,f800]) ).
fof(f2689,plain,
( e3 != op(e1,op(e2,e2))
| ~ spl0_9
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f491,f2688]) ).
fof(f2690,plain,
( e3 != op(e1,e0)
| ~ spl0_9
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f592,f2689]) ).
fof(f2696,plain,
( op(e0,e0) != e3
| ~ spl0_12
| spl0_110 ),
inference(forward_demodulation,[status(thm)],[f501,f906]) ).
fof(f2698,plain,
( op(e0,e3) != e1
| ~ spl0_7
| spl0_108 ),
inference(forward_demodulation,[status(thm)],[f484,f898]) ).
fof(f2709,plain,
( e3 != op(op(op(e1,e1),e1),e2)
| ~ spl0_22
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f533,f776]) ).
fof(f2710,plain,
( e3 != op(op(e2,e1),e2)
| ~ spl0_22
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f533,f2709]) ).
fof(f2714,plain,
( op(e0,e1) != e2
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f533,f84]) ).
fof(f2717,plain,
( e1 != op(e3,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f491,f92]) ).
fof(f2718,plain,
( ~ spl0_57
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2717,f646,f490]) ).
fof(f2727,plain,
( op(e1,e2) != e0
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f592,f93]) ).
fof(f2728,plain,
( ~ spl0_24
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f2727,f539,f591]) ).
fof(f2732,plain,
( op(e0,e0) != e3
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f484,f102]) ).
fof(f2761,plain,
( e0 != op(op(e2,e3),e2)
| ~ spl0_62
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f663,f2104]) ).
fof(f2766,plain,
( e3 = op(e0,e2)
| ~ spl0_40
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f592,f787]) ).
fof(f2767,plain,
( e3 = e1
| ~ spl0_9
| ~ spl0_40
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f491,f2766]) ).
fof(f2768,plain,
( $false
| ~ spl0_9
| ~ spl0_40
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2767,f130]) ).
fof(f2769,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2768]) ).
fof(f2776,plain,
( e1 != op(e1,e3)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f517,f110]) ).
fof(f2811,plain,
( e0 != op(e2,e3)
| ~ spl0_62
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f663,f819]) ).
fof(f2822,plain,
( op(e0,e1) != e1
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f634,f86]) ).
fof(f2831,plain,
( ~ spl0_11
| ~ spl0_32
| ~ spl0_2
| spl0_75 ),
inference(split_clause,[status(thm)],[f2401,f496,f565,f467,f750]) ).
fof(f2890,plain,
( e3 != op(op(e1,e2),op(e2,e2))
| ~ spl0_41
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f595,f800]) ).
fof(f2891,plain,
( e3 != op(e2,op(e2,e2))
| ~ spl0_26
| ~ spl0_41
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f546,f2890]) ).
fof(f2892,plain,
( e3 != op(e2,e1)
| ~ spl0_26
| ~ spl0_41
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f595,f2891]) ).
fof(f2954,plain,
( op(e1,e3) = e1
| ~ spl0_23
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f536,f867]) ).
fof(f2955,plain,
( spl0_29
| ~ spl0_23
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f2954,f555,f535,f866]) ).
fof(f2958,plain,
( op(e3,e1) != e1
| ~ spl0_53
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f634,f712]) ).
fof(f2959,plain,
( e1 != e1
| ~ spl0_53
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f634,f2958]) ).
fof(f2960,plain,
( $false
| ~ spl0_53
| spl0_66 ),
inference(trivial_equality_resolution,[status(esa)],[f2959]) ).
fof(f2961,plain,
( ~ spl0_53
| spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2960]) ).
fof(f2975,plain,
( e0 != op(e3,e1)
| ~ spl0_23
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f536,f771]) ).
fof(f2986,plain,
( e2 != op(e0,e1)
| ~ spl0_28
| ~ spl0_61
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f553,f1580]) ).
fof(f2996,plain,
( e1 != op(e3,e0)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f569,f83]) ).
fof(f3001,plain,
( e0 != op(e1,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f462,f78]) ).
fof(f3002,plain,
( e0 != op(e3,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f462,f80]) ).
fof(f3043,plain,
( e3 != op(e3,op(e2,e2))
| ~ spl0_11
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f497,f2688]) ).
fof(f3044,plain,
( e3 != op(e3,e0)
| ~ spl0_11
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f592,f3043]) ).
fof(f3045,plain,
( e3 != e3
| ~ spl0_51
| ~ spl0_11
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f627,f3044]) ).
fof(f3046,plain,
( $false
| ~ spl0_51
| ~ spl0_11
| ~ spl0_40
| spl0_87 ),
inference(trivial_equality_resolution,[status(esa)],[f3045]) ).
fof(f3047,plain,
( ~ spl0_51
| ~ spl0_11
| ~ spl0_40
| spl0_87 ),
inference(contradiction_clause,[status(thm)],[f3046]) ).
fof(f3071,plain,
( op(e1,e1) != e1
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f543,f111]) ).
fof(f3093,plain,
( $false
| ~ spl0_23
| spl0_80
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f2975]) ).
fof(f3094,plain,
( ~ spl0_23
| spl0_80
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3140,plain,
( ~ spl0_14
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1259,f506,f610]) ).
fof(f3145,plain,
( e2 != op(e3,e3)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f611,f101]) ).
fof(f3175,plain,
( e2 != op(e2,e3)
| ~ spl0_54
| ~ spl0_23
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f637,f1585]) ).
fof(f3176,plain,
( ~ spl0_46
| ~ spl0_54
| ~ spl0_23
| spl0_79 ),
inference(split_clause,[status(thm)],[f3175,f610,f636,f535,f766]) ).
fof(f3181,plain,
( op(e1,e2) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f653,f94]) ).
fof(f3195,plain,
( e3 != op(e2,e2)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f575,f115]) ).
fof(f3206,plain,
( e2 = e3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f507,f510]) ).
fof(f3207,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f3206,f131]) ).
fof(f3208,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f3207]) ).
fof(f3222,plain,
( e0 != op(e3,e3)
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f553,f100]) ).
fof(f3240,plain,
( op(e2,e1) != e1
| ~ spl0_37
| spl0_96 ),
inference(forward_demodulation,[status(thm)],[f582,f838]) ).
fof(f3241,plain,
( e1 != e1
| ~ spl0_37
| spl0_96 ),
inference(forward_demodulation,[status(thm)],[f582,f3240]) ).
fof(f3242,plain,
( $false
| ~ spl0_37
| spl0_96 ),
inference(trivial_equality_resolution,[status(esa)],[f3241]) ).
fof(f3243,plain,
( ~ spl0_37
| spl0_96 ),
inference(contradiction_clause,[status(thm)],[f3242]) ).
fof(f3244,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2511,f474,f461]) ).
fof(f3259,plain,
( ~ spl0_19
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f2588,f522,f574]) ).
fof(f3261,plain,
( ~ spl0_62
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2252,f662,f558]) ).
fof(f3264,plain,
( ~ spl0_44
| ~ spl0_62
| spl0_92 ),
inference(split_clause,[status(thm)],[f2811,f604,f662,f817]) ).
fof(f3273,plain,
( e0 != op(e1,e2)
| ~ spl0_45
| ~ spl0_62
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f608,f2761]) ).
fof(f3274,plain,
( ~ spl0_24
| ~ spl0_45
| ~ spl0_62
| spl0_88 ),
inference(split_clause,[status(thm)],[f3273,f539,f607,f662,f803]) ).
fof(f3299,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2373,f571,f584]) ).
fof(f3317,plain,
( op(e1,e3) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f608,f99]) ).
fof(f3318,plain,
( ~ spl0_29
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f3317,f555,f607]) ).
fof(f3319,plain,
( e0 = e1
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f605,f608]) ).
fof(f3320,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f3319,f126]) ).
fof(f3321,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f3320]) ).
fof(f3322,plain,
( e2 != op(e2,e3)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f572,f116]) ).
fof(f3326,plain,
( ~ spl0_39
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1360,f587,f613]) ).
fof(f3333,plain,
( ~ spl0_39
| ~ spl0_26
| ~ spl0_41
| spl0_87 ),
inference(split_clause,[status(thm)],[f2892,f587,f545,f594,f798]) ).
fof(f3337,plain,
( ~ spl0_39
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2626,f587,f483]) ).
fof(f3347,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f3181,f548,f652]) ).
fof(f3349,plain,
( op(e3,e3) = e2
| ~ spl0_59
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f653,f715]) ).
fof(f3350,plain,
( spl0_62
| ~ spl0_59
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f3349,f662,f652,f714]) ).
fof(f3359,plain,
( op(e0,e1) != e3
| ~ spl0_13
| spl0_110 ),
inference(forward_demodulation,[status(thm)],[f504,f906]) ).
fof(f3360,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_110 ),
inference(split_clause,[status(thm)],[f3359,f483,f503,f904]) ).
fof(f3365,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2732,f470,f483]) ).
fof(f3366,plain,
( ~ spl0_13
| ~ spl0_7
| spl0_108 ),
inference(split_clause,[status(thm)],[f2698,f503,f483,f896]) ).
fof(f3387,plain,
( e1 = e2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f504,f507]) ).
fof(f3388,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f3387,f129]) ).
fof(f3389,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f3388]) ).
fof(f3392,plain,
( ~ spl0_40
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1654,f591,f565]) ).
fof(f3395,plain,
( ~ spl0_16
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f2494,f513,f565]) ).
fof(f3398,plain,
( ~ spl0_62
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2268,f662,f623]) ).
fof(f3399,plain,
( ~ spl0_58
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2286,f649,f623]) ).
fof(f3407,plain,
( ~ spl0_6
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2714,f480,f532]) ).
fof(f3408,plain,
( e2 != op(e3,e1)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f533,f88]) ).
fof(f3445,plain,
( ~ spl0_62
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f3145,f662,f610]) ).
fof(f3456,plain,
( ~ spl0_58
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f2101,f649,f662]) ).
fof(f3474,plain,
( ~ spl0_33
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2646,f568,f607]) ).
fof(f3483,plain,
( op(e1,e2) != e3
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f562,f113]) ).
fof(f3484,plain,
( ~ spl0_27
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f3483,f548,f561]) ).
fof(f3492,plain,
( e0 != op(e2,e1)
| ~ spl0_22
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f533,f771]) ).
fof(f3493,plain,
( ~ spl0_36
| ~ spl0_22
| spl0_80 ),
inference(split_clause,[status(thm)],[f3492,f578,f532,f769]) ).
fof(f3494,plain,
( e0 != op(op(op(e1,e1),e1),e2)
| ~ spl0_22
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f533,f757]) ).
fof(f3495,plain,
( e0 != op(op(e2,e1),e2)
| ~ spl0_22
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f533,f3494]) ).
fof(f3512,plain,
( e1 != op(e2,e3)
| ~ spl0_62
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f663,f808]) ).
fof(f3513,plain,
( ~ spl0_45
| ~ spl0_62
| spl0_89 ),
inference(split_clause,[status(thm)],[f3512,f607,f662,f806]) ).
fof(f3518,plain,
( ~ spl0_54
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f3408,f636,f532]) ).
fof(f3521,plain,
( e3 != op(e2,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f549,f93]) ).
fof(f3522,plain,
( ~ spl0_43
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f3521,f600,f548]) ).
fof(f3532,plain,
( ~ spl0_49
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f2996,f620,f568]) ).
fof(f3565,plain,
( e3 != op(e1,e2)
| ~ spl0_33
| ~ spl0_2
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f569,f2687]) ).
fof(f3566,plain,
( e3 != e3
| ~ spl0_27
| ~ spl0_33
| ~ spl0_2
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f549,f3565]) ).
fof(f3567,plain,
( $false
| ~ spl0_27
| ~ spl0_33
| ~ spl0_2
| spl0_75 ),
inference(trivial_equality_resolution,[status(esa)],[f3566]) ).
fof(f3568,plain,
( ~ spl0_27
| ~ spl0_33
| ~ spl0_2
| spl0_75 ),
inference(contradiction_clause,[status(thm)],[f3567]) ).
fof(f3574,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f2822,f477,f633]) ).
fof(f3583,plain,
( ~ spl0_46
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f3322,f610,f571]) ).
fof(f3589,plain,
( op(e3,e2) != e2
| ~ spl0_58
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f650,f716]) ).
fof(f3590,plain,
( ~ spl0_58
| spl0_67 ),
inference(split_clause,[status(thm)],[f3589,f649,f714]) ).
fof(f3594,plain,
( ~ spl0_48
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f3002,f617,f461]) ).
fof(f3599,plain,
( ~ spl0_29
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f2776,f555,f516]) ).
fof(f3607,plain,
( e3 = e1
| ~ spl0_19
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f523,f517]) ).
fof(f3608,plain,
( $false
| ~ spl0_19
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f3607,f130]) ).
fof(f3609,plain,
( ~ spl0_19
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3627,plain,
( op(e2,e0) != e0
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f579,f114]) ).
fof(f3632,plain,
( e0 != op(e0,e2)
| ~ spl0_36
| ~ spl0_22
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f579,f3495]) ).
fof(f3633,plain,
( ~ spl0_8
| ~ spl0_36
| ~ spl0_22
| spl0_76 ),
inference(split_clause,[status(thm)],[f3632,f487,f578,f532,f755]) ).
fof(f3635,plain,
( e1 != op(e3,e2)
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f634,f123]) ).
fof(f3636,plain,
( ~ spl0_57
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f3635,f646,f633]) ).
fof(f3642,plain,
( op(e0,e0) != e2
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f572,f79]) ).
fof(f3643,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f3642,f467,f571]) ).
fof(f3654,plain,
( op(e1,e3) = e3
| ~ spl0_31
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f562,f875]) ).
fof(f3663,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1640,f487,f500]) ).
fof(f3674,plain,
( e0 = e3
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f618,f627]) ).
fof(f3675,plain,
( $false
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f3674,f128]) ).
fof(f3676,plain,
( ~ spl0_48
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f3675]) ).
fof(f3739,plain,
( ~ spl0_39
| ~ spl0_18
| ~ spl0_1
| spl0_75 ),
inference(split_clause,[status(thm)],[f1442,f587,f519,f464,f750]) ).
fof(f3794,plain,
( op(e2,e3) = e1
| ~ spl0_39
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f588,f837]) ).
fof(f3830,plain,
( e3 != op(op(e0,e1),op(e1,e1))
| ~ spl0_20
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f527,f776]) ).
fof(f3856,plain,
( op(e3,e0) != e0
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f644,f121]) ).
fof(f3871,plain,
( e2 = op(e1,e0)
| ~ spl0_1
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f465,f735]) ).
fof(f3901,plain,
( op(e0,e2) != e1
| ~ spl0_6
| spl0_108 ),
inference(backward_demodulation,[status(thm)],[f481,f898]) ).
fof(f3963,plain,
( e3 != op(op(e0,e1),e0)
| ~ spl0_20
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f527,f3830]) ).
fof(f3971,plain,
( e3 = op(e0,e1)
| ~ spl0_20
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f527,f763]) ).
fof(f4030,plain,
( op(e0,e2) != e0
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f644,f92]) ).
fof(f4039,plain,
( ~ spl0_51
| ~ spl0_7
| ~ spl0_20
| spl0_81 ),
inference(split_clause,[status(thm)],[f2418,f626,f483,f526,f774]) ).
fof(f4137,plain,
( e0 != op(e1,e3)
| ~ spl0_61
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f660,f819]) ).
fof(f4162,plain,
( op(e0,e2) != e2
| ~ spl0_10
| spl0_109 ),
inference(backward_demodulation,[status(thm)],[f494,f902]) ).
fof(f4163,plain,
( ~ spl0_10
| spl0_109 ),
inference(split_clause,[status(thm)],[f4162,f493,f900]) ).
fof(f4173,plain,
( e3 != op(e2,e1)
| ~ spl0_22
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f533,f764]) ).
fof(f4175,plain,
( e3 != op(e1,e2)
| ~ spl0_37
| ~ spl0_22
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f582,f2710]) ).
fof(f4189,plain,
( op(e2,e3) = e3
| ~ spl0_47
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f2486,f845]) ).
fof(f4209,plain,
( op(e3,e2) != e0
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f657,f125]) ).
fof(f4222,plain,
( $false
| ~ spl0_37
| ~ spl0_22
| spl0_81
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f4175]) ).
fof(f4223,plain,
( ~ spl0_37
| ~ spl0_22
| spl0_81
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f4222]) ).
fof(f4227,plain,
( op(e0,e1) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f640,f86]) ).
fof(f4244,plain,
( e1 != op(e0,e3)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f491,f107]) ).
fof(f4356,plain,
( e1 != op(e0,e3)
| ~ spl0_60
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f657,f808]) ).
fof(f4385,plain,
( e1 != op(e0,e2)
| ~ spl0_40
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f592,f784]) ).
fof(f4386,plain,
( ~ spl0_9
| ~ spl0_40
| spl0_83 ),
inference(split_clause,[status(thm)],[f4385,f490,f591,f782]) ).
fof(f4392,plain,
( e3 != op(e0,e2)
| ~ spl0_40
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f592,f788]) ).
fof(f4398,plain,
( e2 != op(op(op(e0,e0),e0),e3)
| ~ spl0_3
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f471,f744]) ).
fof(f4399,plain,
( e2 != op(op(e3,e0),e3)
| ~ spl0_3
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f471,f4398]) ).
fof(f4405,plain,
( e1 != op(op(op(e0,e0),e0),e3)
| ~ spl0_3
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f471,f733]) ).
fof(f4406,plain,
( e1 != op(op(e3,e0),e3)
| ~ spl0_3
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f471,f4405]) ).
fof(f4420,plain,
( op(e1,e0) != e0
| ~ spl0_16
| spl0_101 ),
inference(backward_demodulation,[status(thm)],[f514,f864]) ).
fof(f4421,plain,
( ~ spl0_16
| spl0_101 ),
inference(split_clause,[status(thm)],[f4420,f513,f862]) ).
fof(f4422,plain,
( e0 != op(e1,e2)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f514,f109]) ).
fof(f4432,plain,
( e1 = op(e0,e2)
| ~ spl0_40
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f592,f783]) ).
fof(f4439,plain,
( ~ spl0_8
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f4030,f487,f643]) ).
fof(f4458,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1302,f461,f487]) ).
fof(f4465,plain,
( ~ spl0_43
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f3195,f600,f574]) ).
fof(f4492,plain,
( ~ spl0_31
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1192,f561,f665]) ).
fof(f4507,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f3071,f529,f542]) ).
fof(f4510,plain,
( spl0_22
| ~ spl0_25
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f2127,f532,f542,f870]) ).
fof(f4512,plain,
( op(e1,e2) = e2
| ~ spl0_26
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f546,f871]) ).
fof(f4513,plain,
( e1 = e2
| ~ spl0_25
| ~ spl0_26
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f543,f4512]) ).
fof(f4514,plain,
( $false
| ~ spl0_25
| ~ spl0_26
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f4513,f129]) ).
fof(f4515,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f4514]) ).
fof(f4526,plain,
( ~ spl0_32
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f3627,f565,f578]) ).
fof(f4528,plain,
( op(e0,e1) != e0
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f579,f85]) ).
fof(f4529,plain,
( ~ spl0_4
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f4528,f474,f578]) ).
fof(f4566,plain,
( ~ spl0_56
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f4209,f643,f656]) ).
fof(f4570,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f634,f640]) ).
fof(f4571,plain,
( $false
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f4570,f130]) ).
fof(f4572,plain,
( ~ spl0_53
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f4571]) ).
fof(f4612,plain,
( e2 != op(e3,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f507,f98]) ).
fof(f4613,plain,
( ~ spl0_62
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f4612,f662,f506]) ).
fof(f4615,plain,
( op(e0,e2) != e2
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f507,f107]) ).
fof(f4616,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f4615,f493,f506]) ).
fof(f4625,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f475,f478]) ).
fof(f4626,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f4625,f126]) ).
fof(f4627,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f4626]) ).
fof(f4763,plain,
( ~ spl0_28
| ~ spl0_61
| spl0_92 ),
inference(split_clause,[status(thm)],[f4137,f552,f659,f817]) ).
fof(f4783,plain,
( e3 != op(op(e0,e2),op(e2,e2))
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f592,f800]) ).
fof(f4912,plain,
( op(e3,e0) != e1
| ~ spl0_52
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f631,f712]) ).
fof(f4929,plain,
( op(e1,e1) != e2
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f546,f111]) ).
fof(f4930,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f4929,f532,f545]) ).
fof(f4935,plain,
( e3 = e2
| ~ spl0_35
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f575,f572]) ).
fof(f4936,plain,
( $false
| ~ spl0_35
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f4935,f131]) ).
fof(f4937,plain,
( ~ spl0_35
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f4936]) ).
fof(f4956,plain,
( ~ spl0_12
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2206,f500,f656]) ).
fof(f4960,plain,
( op(e1,e1) != e1
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f556,f112]) ).
fof(f4961,plain,
( ~ spl0_21
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f4960,f529,f555]) ).
fof(f4978,plain,
( e3 != op(e3,e1)
| ~ spl0_19
| ~ spl0_1
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f523,f1441]) ).
fof(f4979,plain,
( ~ spl0_55
| ~ spl0_19
| ~ spl0_1
| spl0_75 ),
inference(split_clause,[status(thm)],[f4978,f639,f522,f464,f750]) ).
fof(f4988,plain,
( op(e0,e0) != e1
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f621,f80]) ).
fof(f4989,plain,
( ~ spl0_1
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f4988,f464,f620]) ).
fof(f4998,plain,
( e3 = e0
| ~ spl0_19
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f523,f514]) ).
fof(f4999,plain,
( $false
| ~ spl0_19
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f4998,f128]) ).
fof(f5000,plain,
( ~ spl0_19
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f4999]) ).
fof(f5004,plain,
( ~ spl0_7
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f4227,f483,f639]) ).
fof(f5035,plain,
( e3 != op(e1,e2)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f523,f109]) ).
fof(f5036,plain,
( ~ spl0_27
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f5035,f548,f522]) ).
fof(f5042,plain,
( op(e0,e1) != e3
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f640,f86]) ).
fof(f5043,plain,
( $false
| ~ spl0_55
| ~ spl0_20
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f3971,f5042]) ).
fof(f5044,plain,
( ~ spl0_55
| ~ spl0_20
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f5043]) ).
fof(f5100,plain,
( $false
| ~ spl0_60
| spl0_89
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f4356]) ).
fof(f5101,plain,
( ~ spl0_60
| spl0_89
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f5100]) ).
fof(f5103,plain,
( op(e3,e3) != e2
| ~ spl0_59
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f653,f716]) ).
fof(f5182,plain,
( ~ spl0_6
| ~ spl0_28
| ~ spl0_61
| spl0_93 ),
inference(split_clause,[status(thm)],[f2986,f480,f552,f659,f822]) ).
fof(f5251,plain,
( e3 != op(e1,op(e2,e2))
| ~ spl0_83
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f4432,f4783]) ).
fof(f5252,plain,
( e3 != op(e1,e0)
| ~ spl0_83
| ~ spl0_40
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f592,f5251]) ).
fof(f5378,plain,
( ~ spl0_33
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1251,f568,f516]) ).
fof(f5389,plain,
( e2 != op(e1,e3)
| ~ spl0_53
| ~ spl0_23
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f634,f1585]) ).
fof(f5390,plain,
( ~ spl0_30
| ~ spl0_53
| ~ spl0_23
| spl0_79 ),
inference(split_clause,[status(thm)],[f5389,f558,f633,f535,f766]) ).
fof(f5391,plain,
( ~ spl0_13
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f4244,f503,f490]) ).
fof(f5458,plain,
( e2 != op(e1,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f494,f90]) ).
fof(f5459,plain,
( ~ spl0_26
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f5458,f545,f493]) ).
fof(f5480,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2147,f561,f509]) ).
fof(f5499,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1471,f483,f509]) ).
fof(f5513,plain,
( e2 = e0
| ~ spl0_10
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f494,f488]) ).
fof(f5514,plain,
( $false
| ~ spl0_10
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f5513,f127]) ).
fof(f5515,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f5514]) ).
fof(f5541,plain,
( e2 != op(op(op(e0,e0),e0),e1)
| ~ spl0_1
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f465,f744]) ).
fof(f5573,plain,
( e2 != op(e3,e0)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f572,f83]) ).
fof(f5574,plain,
( ~ spl0_50
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f5573,f623,f571]) ).
fof(f5576,plain,
( e0 != op(e1,e2)
| ~ spl0_41
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f595,f795]) ).
fof(f5586,plain,
( e2 != op(e0,e3)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f481,f106]) ).
fof(f5587,plain,
( ~ spl0_14
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f5586,f506,f480]) ).
fof(f5591,plain,
( e2 != op(op(e1,e0),e1)
| ~ spl0_1
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f465,f5541]) ).
fof(f5592,plain,
( e2 != op(e2,e1)
| ~ spl0_71
| ~ spl0_1
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f3871,f5591]) ).
fof(f5597,plain,
( e1 != op(e0,e1)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f465,f102]) ).
fof(f5598,plain,
( ~ spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f5597,f477,f464]) ).
fof(f5603,plain,
( ~ spl0_37
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1739,f581,f477]) ).
fof(f5604,plain,
( op(e2,e0) != e3
| ~ spl0_47
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f4189,f116]) ).
fof(f5605,plain,
( ~ spl0_35
| ~ spl0_47
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f5604,f574,f613,f844]) ).
fof(f5621,plain,
( $false
| ~ spl0_71
| ~ spl0_1
| spl0_73
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f5592]) ).
fof(f5622,plain,
( ~ spl0_71
| ~ spl0_1
| spl0_73
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f5621]) ).
fof(f5627,plain,
( e0 != op(e2,e3)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f592,f119]) ).
fof(f5637,plain,
( ~ spl0_19
| ~ spl0_83
| ~ spl0_40
| spl0_87 ),
inference(split_clause,[status(thm)],[f5252,f522,f782,f591,f798]) ).
fof(f5689,plain,
( op(e1,e3) = e0
| ~ spl0_19
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f523,f863]) ).
fof(f5799,plain,
( ~ spl0_19
| ~ spl0_9
| ~ spl0_40
| spl0_87 ),
inference(split_clause,[status(thm)],[f2690,f522,f490,f591,f798]) ).
fof(f5865,plain,
( op(e1,e0) != e1
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f530,f108]) ).
fof(f5866,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f5865,f516,f529]) ).
fof(f5867,plain,
( e1 != op(e3,e1)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f530,f88]) ).
fof(f5868,plain,
( ~ spl0_53
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f5867,f633,f529]) ).
fof(f5898,plain,
( ~ spl0_39
| ~ spl0_22
| spl0_78 ),
inference(split_clause,[status(thm)],[f4173,f587,f532,f762]) ).
fof(f5900,plain,
( ~ spl0_11
| ~ spl0_40
| spl0_84 ),
inference(split_clause,[status(thm)],[f4392,f496,f591,f786]) ).
fof(f5912,plain,
( ~ spl0_39
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f2587,f587,f574]) ).
fof(f5929,plain,
( e1 = op(e3,e3)
| ~ spl0_63
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f666,f807]) ).
fof(f5930,plain,
( spl0_61
| ~ spl0_63
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f5929,f659,f665,f806]) ).
fof(f5943,plain,
( e0 = e1
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f592,f595]) ).
fof(f5944,plain,
( $false
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f5943,f126]) ).
fof(f5945,plain,
( ~ spl0_40
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f5944]) ).
fof(f5946,plain,
( e1 != op(e3,e2)
| ~ spl0_35
| ~ spl0_2
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f575,f2078]) ).
fof(f6137,plain,
( ~ spl0_9
| ~ spl0_6
| spl0_108 ),
inference(split_clause,[status(thm)],[f3901,f490,f480,f896]) ).
fof(f6190,plain,
( ~ spl0_3
| ~ spl0_12
| spl0_110 ),
inference(split_clause,[status(thm)],[f2696,f470,f500,f904]) ).
fof(f6194,plain,
( op(e0,e1) != e2
| ~ spl0_9
| spl0_109 ),
inference(forward_demodulation,[status(thm)],[f491,f902]) ).
fof(f6195,plain,
( e2 != e2
| ~ spl0_6
| ~ spl0_9
| spl0_109 ),
inference(forward_demodulation,[status(thm)],[f481,f6194]) ).
fof(f6196,plain,
( $false
| ~ spl0_6
| ~ spl0_9
| spl0_109 ),
inference(trivial_equality_resolution,[status(esa)],[f6195]) ).
fof(f6197,plain,
( ~ spl0_6
| ~ spl0_9
| spl0_109 ),
inference(contradiction_clause,[status(thm)],[f6196]) ).
fof(f6232,plain,
( e2 != op(e2,e3)
| ~ spl0_71
| ~ spl0_3
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f2333,f4399]) ).
fof(f6233,plain,
( e1 != op(e2,e3)
| ~ spl0_71
| ~ spl0_3
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f2333,f4406]) ).
fof(f6272,plain,
( ~ spl0_45
| ~ spl0_50
| ~ spl0_3
| spl0_70 ),
inference(split_clause,[status(thm)],[f2327,f607,f623,f470,f731]) ).
fof(f6331,plain,
( $false
| ~ spl0_71
| ~ spl0_3
| spl0_70
| ~ spl0_39
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f3794,f6233]) ).
fof(f6332,plain,
( ~ spl0_71
| ~ spl0_3
| spl0_70
| ~ spl0_39
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f6331]) ).
fof(f6346,plain,
( e3 != op(e2,e0)
| ~ spl0_2
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f468,f740]) ).
fof(f6347,plain,
( ~ spl0_35
| ~ spl0_2
| spl0_72 ),
inference(split_clause,[status(thm)],[f6346,f574,f467,f738]) ).
fof(f6426,plain,
( ~ spl0_44
| ~ spl0_54
| ~ spl0_23
| spl0_76 ),
inference(split_clause,[status(thm)],[f2233,f604,f636,f535,f755]) ).
fof(f6498,plain,
( e1 != op(op(op(e2,e2),e2),e3)
| ~ spl0_43
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f601,f792]) ).
fof(f6516,plain,
( op(e3,e1) != e0
| ~ spl0_49
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f621,f708]) ).
fof(f6659,plain,
( e1 != op(op(e2,e3),e2)
| ~ spl0_62
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f663,f2103]) ).
fof(f6660,plain,
( e1 != op(e0,e2)
| ~ spl0_44
| ~ spl0_62
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f605,f6659]) ).
fof(f6661,plain,
( e1 != e1
| ~ spl0_9
| ~ spl0_44
| ~ spl0_62
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f491,f6660]) ).
fof(f6662,plain,
( $false
| ~ spl0_9
| ~ spl0_44
| ~ spl0_62
| spl0_91 ),
inference(trivial_equality_resolution,[status(esa)],[f6661]) ).
fof(f6663,plain,
( ~ spl0_9
| ~ spl0_44
| ~ spl0_62
| spl0_91 ),
inference(contradiction_clause,[status(thm)],[f6662]) ).
fof(f6664,plain,
( e1 != op(op(op(e3,e3),e3),e2)
| ~ spl0_62
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f663,f816]) ).
fof(f6665,plain,
( e1 != op(op(e2,e3),e2)
| ~ spl0_62
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f663,f6664]) ).
fof(f6677,plain,
( e1 != op(e3,e2)
| ~ spl0_43
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f601,f784]) ).
fof(f6678,plain,
( ~ spl0_57
| ~ spl0_43
| spl0_83 ),
inference(split_clause,[status(thm)],[f6677,f646,f600,f782]) ).
fof(f6679,plain,
( e1 != op(op(e3,e2),e3)
| ~ spl0_43
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f601,f6498]) ).
fof(f6685,plain,
( e1 = op(e2,e3)
| ~ spl0_62
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f663,f807]) ).
fof(f6696,plain,
( e3 != op(e1,e0)
| ~ spl0_1
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f465,f740]) ).
fof(f6697,plain,
( ~ spl0_19
| ~ spl0_1
| spl0_72 ),
inference(split_clause,[status(thm)],[f6696,f522,f464,f738]) ).
fof(f6773,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f618,f122]) ).
fof(f6800,plain,
( e0 != op(e2,e3)
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f579,f118]) ).
fof(f6822,plain,
( op(e2,e0) != e1
| ~ spl0_36
| spl0_96 ),
inference(forward_demodulation,[status(thm)],[f579,f838]) ).
fof(f6897,plain,
( e1 != op(e1,e2)
| ~ spl0_89
| ~ spl0_62
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f6685,f6665]) ).
fof(f6923,plain,
( e1 != op(e1,e3)
| ~ spl0_57
| ~ spl0_43
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f647,f6679]) ).
fof(f6937,plain,
( e0 != op(op(e3,e2),op(e2,e2))
| ~ spl0_43
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f601,f781]) ).
fof(f6938,plain,
( e0 != op(e1,op(e2,e2))
| ~ spl0_57
| ~ spl0_43
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f647,f6937]) ).
fof(f6939,plain,
( e0 != op(e1,e3)
| ~ spl0_57
| ~ spl0_43
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f601,f6938]) ).
fof(f6940,plain,
( e0 != e0
| ~ spl0_19
| ~ spl0_101
| ~ spl0_57
| ~ spl0_43
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f5689,f6939]) ).
fof(f6941,plain,
( $false
| ~ spl0_19
| ~ spl0_101
| ~ spl0_57
| ~ spl0_43
| spl0_82 ),
inference(trivial_equality_resolution,[status(esa)],[f6940]) ).
fof(f6942,plain,
( ~ spl0_19
| ~ spl0_101
| ~ spl0_57
| ~ spl0_43
| spl0_82 ),
inference(contradiction_clause,[status(thm)],[f6941]) ).
fof(f6946,plain,
( ~ spl0_44
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f6800,f604,f578]) ).
fof(f6959,plain,
( e0 != op(e3,e0)
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f514,f82]) ).
fof(f6960,plain,
( ~ spl0_48
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f6959,f617,f513]) ).
fof(f6979,plain,
( ~ spl0_33
| ~ spl0_36
| spl0_96 ),
inference(split_clause,[status(thm)],[f6822,f568,f578,f836]) ).
fof(f6986,plain,
( ~ spl0_6
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1565,f480,f584]) ).
fof(f6998,plain,
( e0 = e2
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f579,f585]) ).
fof(f6999,plain,
( $false
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f6998,f127]) ).
fof(f7000,plain,
( ~ spl0_36
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f6999]) ).
fof(f7009,plain,
( ~ spl0_29
| ~ spl0_57
| ~ spl0_43
| spl0_85 ),
inference(split_clause,[status(thm)],[f6923,f555,f646,f600,f790]) ).
fof(f7030,plain,
( ~ spl0_24
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f4422,f539,f513]) ).
fof(f7041,plain,
( e3 = e1
| ~ spl0_31
| ~ spl0_104
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f3654,f556]) ).
fof(f7042,plain,
( $false
| ~ spl0_31
| ~ spl0_104
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f7041,f130]) ).
fof(f7043,plain,
( ~ spl0_31
| ~ spl0_104
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f7042]) ).
fof(f7073,plain,
( e0 != op(e3,e2)
| ~ spl0_43
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f601,f795]) ).
fof(f7079,plain,
( $false
| ~ spl0_43
| spl0_86
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f7073]) ).
fof(f7080,plain,
( ~ spl0_43
| spl0_86
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f7079]) ).
fof(f7127,plain,
( op(e0,e3) = e1
| ~ spl0_7
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f484,f897]) ).
fof(f7222,plain,
( e2 != op(e3,op(e1,e1))
| ~ spl0_78
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f763,f768]) ).
fof(f7223,plain,
( e2 != op(e3,e0)
| ~ spl0_20
| ~ spl0_78
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f527,f7222]) ).
fof(f7251,plain,
( e1 != op(e0,e3)
| ~ spl0_56
| ~ spl0_43
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f644,f6679]) ).
fof(f7252,plain,
( e1 != e1
| ~ spl0_7
| ~ spl0_108
| ~ spl0_56
| ~ spl0_43
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f7127,f7251]) ).
fof(f7253,plain,
( $false
| ~ spl0_7
| ~ spl0_108
| ~ spl0_56
| ~ spl0_43
| spl0_85 ),
inference(trivial_equality_resolution,[status(esa)],[f7252]) ).
fof(f7254,plain,
( ~ spl0_7
| ~ spl0_108
| ~ spl0_56
| ~ spl0_43
| spl0_85 ),
inference(contradiction_clause,[status(thm)],[f7253]) ).
fof(f7264,plain,
( ~ spl0_25
| ~ spl0_89
| ~ spl0_62
| spl0_91 ),
inference(split_clause,[status(thm)],[f6897,f542,f806,f662,f814]) ).
fof(f7278,plain,
( ~ spl0_52
| ~ spl0_49
| spl0_65 ),
inference(split_clause,[status(thm)],[f6516,f630,f620,f706]) ).
fof(f7295,plain,
( ~ spl0_62
| ~ spl0_59
| spl0_67 ),
inference(split_clause,[status(thm)],[f5103,f662,f652,f714]) ).
fof(f7328,plain,
( ~ spl0_49
| ~ spl0_52
| spl0_66 ),
inference(split_clause,[status(thm)],[f4912,f620,f630,f710]) ).
fof(f7394,plain,
( e1 != op(e3,op(e2,e2))
| ~ spl0_84
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f787,f792]) ).
fof(f7395,plain,
( e1 != op(e3,e0)
| ~ spl0_40
| ~ spl0_84
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f592,f7394]) ).
fof(f7396,plain,
( e1 != e1
| ~ spl0_49
| ~ spl0_40
| ~ spl0_84
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f621,f7395]) ).
fof(f7397,plain,
( $false
| ~ spl0_49
| ~ spl0_40
| ~ spl0_84
| spl0_85 ),
inference(trivial_equality_resolution,[status(esa)],[f7396]) ).
fof(f7398,plain,
( ~ spl0_49
| ~ spl0_40
| ~ spl0_84
| spl0_85 ),
inference(contradiction_clause,[status(thm)],[f7397]) ).
fof(f7444,plain,
( ~ spl0_50
| ~ spl0_20
| ~ spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f7223,f623,f526,f762,f766]) ).
fof(f7535,plain,
( e3 != op(e1,e2)
| ~ spl0_41
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f595,f788]) ).
fof(f7536,plain,
( ~ spl0_27
| ~ spl0_41
| spl0_84 ),
inference(split_clause,[status(thm)],[f7535,f548,f594,f786]) ).
fof(f7734,plain,
( e0 != op(op(e2,e1),op(e1,e1))
| ~ spl0_22
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f533,f757]) ).
fof(f7735,plain,
( e0 != op(e3,op(e1,e1))
| ~ spl0_39
| ~ spl0_22
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f588,f7734]) ).
fof(f7736,plain,
( e0 != op(e3,e2)
| ~ spl0_39
| ~ spl0_22
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f533,f7735]) ).
fof(f7801,plain,
( e3 != op(op(op(e1,e1),e1),e2)
| ~ spl0_22
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f533,f776]) ).
fof(f7802,plain,
( e3 != op(op(e2,e1),e2)
| ~ spl0_22
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f533,f7801]) ).
fof(f7807,plain,
( e2 != op(op(op(e0,e0),e0),e3)
| ~ spl0_3
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f471,f744]) ).
fof(f7808,plain,
( e2 != op(op(e3,e0),e3)
| ~ spl0_3
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f471,f7807]) ).
fof(f7809,plain,
( e2 != op(e1,e3)
| ~ spl0_49
| ~ spl0_3
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f621,f7808]) ).
fof(f7814,plain,
( e0 != op(e3,op(e2,e2))
| ~ spl0_84
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f787,f781]) ).
fof(f7815,plain,
( e0 != op(e3,e1)
| ~ spl0_41
| ~ spl0_84
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f595,f7814]) ).
fof(f7816,plain,
( e0 != e0
| ~ spl0_52
| ~ spl0_41
| ~ spl0_84
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f631,f7815]) ).
fof(f7817,plain,
( $false
| ~ spl0_52
| ~ spl0_41
| ~ spl0_84
| spl0_82 ),
inference(trivial_equality_resolution,[status(esa)],[f7816]) ).
fof(f7818,plain,
( ~ spl0_52
| ~ spl0_41
| ~ spl0_84
| spl0_82 ),
inference(contradiction_clause,[status(thm)],[f7817]) ).
fof(f7826,plain,
( ~ spl0_46
| ~ spl0_71
| ~ spl0_3
| spl0_73 ),
inference(split_clause,[status(thm)],[f6232,f610,f734,f470,f742]) ).
fof(f7834,plain,
( ~ spl0_56
| ~ spl0_39
| ~ spl0_22
| spl0_76 ),
inference(split_clause,[status(thm)],[f7736,f643,f587,f532,f755]) ).
fof(f7876,plain,
( ~ spl0_60
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f3222,f656,f552]) ).
fof(f7961,plain,
( ~ spl0_60
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f6773,f656,f617]) ).
fof(f8003,plain,
( e3 = e0
| ~ spl0_63
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f666,f657]) ).
fof(f8004,plain,
( $false
| ~ spl0_63
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f8003,f128]) ).
fof(f8005,plain,
( ~ spl0_63
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f8004]) ).
fof(f8016,plain,
( op(e0,e1) != e2
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f494,f105]) ).
fof(f8076,plain,
( ~ spl0_24
| ~ spl0_41
| spl0_86 ),
inference(split_clause,[status(thm)],[f5576,f539,f594,f793]) ).
fof(f8153,plain,
( e2 != op(e1,e0)
| ~ spl0_13
| ~ spl0_60
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f504,f2243]) ).
fof(f8234,plain,
( e2 != op(e1,op(e3,e3))
| ~ spl0_89
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f807,f824]) ).
fof(f8340,plain,
( ~ spl0_12
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1191,f500,f604]) ).
fof(f8345,plain,
( ~ spl0_48
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f3856,f617,f643]) ).
fof(f8428,plain,
( e2 != op(e3,e1)
| ~ spl0_19
| ~ spl0_1
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f523,f1436]) ).
fof(f8463,plain,
( e3 = e2
| ~ spl0_63
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f666,f663]) ).
fof(f8464,plain,
( $false
| ~ spl0_63
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f8463,f131]) ).
fof(f8465,plain,
( ~ spl0_63
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f8464]) ).
fof(f8518,plain,
( e3 != op(e0,e1)
| ~ spl0_24
| ~ spl0_41
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f540,f2526]) ).
fof(f8519,plain,
( ~ spl0_7
| ~ spl0_24
| ~ spl0_41
| spl0_87 ),
inference(split_clause,[status(thm)],[f8518,f483,f539,f594,f798]) ).
fof(f8630,plain,
( e3 != op(e0,e2)
| ~ spl0_36
| ~ spl0_22
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f579,f7802]) ).
fof(f8683,plain,
( ~ spl0_63
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1362,f665,f613]) ).
fof(f8710,plain,
( ~ spl0_23
| ~ spl0_29
| spl0_104 ),
inference(split_clause,[status(thm)],[f1423,f535,f555,f874]) ).
fof(f8740,plain,
( e1 = e2
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f556,f559]) ).
fof(f8741,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f8740,f129]) ).
fof(f8742,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f8741]) ).
fof(f8799,plain,
( ~ spl0_30
| ~ spl0_49
| ~ spl0_3
| spl0_73 ),
inference(split_clause,[status(thm)],[f7809,f558,f620,f470,f742]) ).
fof(f8979,plain,
( e1 != op(e3,e0)
| ~ spl0_3
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f471,f747]) ).
fof(f8980,plain,
( e1 != e1
| ~ spl0_49
| ~ spl0_3
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f621,f8979]) ).
fof(f8981,plain,
( $false
| ~ spl0_49
| ~ spl0_3
| spl0_74 ),
inference(trivial_equality_resolution,[status(esa)],[f8980]) ).
fof(f8982,plain,
( ~ spl0_49
| ~ spl0_3
| spl0_74 ),
inference(contradiction_clause,[status(thm)],[f8981]) ).
fof(f8984,plain,
( e3 = op(e1,e1)
| ~ spl0_21
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f530,f763]) ).
fof(f8985,plain,
( e3 = e1
| ~ spl0_21
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f530,f8984]) ).
fof(f8986,plain,
( $false
| ~ spl0_21
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f8985,f130]) ).
fof(f8987,plain,
( ~ spl0_21
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f8986]) ).
fof(f9067,plain,
( ~ spl0_11
| ~ spl0_36
| ~ spl0_22
| spl0_81 ),
inference(split_clause,[status(thm)],[f8630,f496,f578,f532,f774]) ).
fof(f9163,plain,
( e1 != op(op(e0,e3),op(e3,e3))
| ~ spl0_60
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f657,f816]) ).
fof(f9164,plain,
( e1 != op(e2,op(e3,e3))
| ~ spl0_14
| ~ spl0_60
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f507,f9163]) ).
fof(f9165,plain,
( e1 != op(e2,e0)
| ~ spl0_14
| ~ spl0_60
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f657,f9164]) ).
fof(f9271,plain,
( ~ spl0_57
| ~ spl0_35
| ~ spl0_2
| spl0_70 ),
inference(split_clause,[status(thm)],[f5946,f646,f574,f467,f731]) ).
fof(f9393,plain,
( ~ spl0_44
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f5627,f604,f591]) ).
fof(f9409,plain,
( op(e1,e3) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f611,f99]) ).
fof(f9410,plain,
( ~ spl0_30
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f9409,f558,f610]) ).
fof(f9427,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f8016,f480,f493]) ).
fof(f9456,plain,
( ~ spl0_16
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f3001,f513,f461]) ).
fof(f9469,plain,
( e2 = e0
| ~ spl0_46
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f611,f605]) ).
fof(f9470,plain,
( $false
| ~ spl0_46
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f9469,f127]) ).
fof(f9471,plain,
( ~ spl0_46
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f9470]) ).
fof(f9639,plain,
( e3 != op(e2,e0)
| ~ spl0_6
| ~ spl0_20
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f481,f3963]) ).
fof(f9640,plain,
( e3 != e3
| ~ spl0_35
| ~ spl0_6
| ~ spl0_20
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f575,f9639]) ).
fof(f9641,plain,
( $false
| ~ spl0_35
| ~ spl0_6
| ~ spl0_20
| spl0_81 ),
inference(trivial_equality_resolution,[status(esa)],[f9640]) ).
fof(f9642,plain,
( ~ spl0_35
| ~ spl0_6
| ~ spl0_20
| spl0_81 ),
inference(contradiction_clause,[status(thm)],[f9641]) ).
fof(f9645,plain,
( e2 != op(e1,e0)
| ~ spl0_60
| ~ spl0_89
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f657,f8234]) ).
fof(f9646,plain,
( ~ spl0_18
| ~ spl0_60
| ~ spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f9645,f519,f656,f806,f822]) ).
fof(f9747,plain,
( ~ spl0_18
| ~ spl0_13
| ~ spl0_60
| spl0_93 ),
inference(split_clause,[status(thm)],[f8153,f519,f503,f656,f822]) ).
fof(f10004,plain,
( ~ spl0_54
| ~ spl0_19
| ~ spl0_1
| spl0_73 ),
inference(split_clause,[status(thm)],[f8428,f636,f522,f464,f742]) ).
fof(f10368,plain,
( e2 != op(e0,e1)
| ~ spl0_20
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f527,f760]) ).
fof(f10369,plain,
( e2 != e2
| ~ spl0_6
| ~ spl0_20
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f481,f10368]) ).
fof(f10370,plain,
( $false
| ~ spl0_6
| ~ spl0_20
| spl0_77 ),
inference(trivial_equality_resolution,[status(esa)],[f10369]) ).
fof(f10371,plain,
( ~ spl0_6
| ~ spl0_20
| spl0_77 ),
inference(contradiction_clause,[status(thm)],[f10370]) ).
fof(f10461,plain,
( ~ spl0_33
| ~ spl0_14
| ~ spl0_60
| spl0_91 ),
inference(split_clause,[status(thm)],[f9165,f568,f506,f656,f814]) ).
fof(f10668,plain,
( e2 != op(e0,e3)
| ~ spl0_60
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f657,f812]) ).
fof(f10669,plain,
( e2 != e2
| ~ spl0_14
| ~ spl0_60
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f507,f10668]) ).
fof(f10670,plain,
( $false
| ~ spl0_14
| ~ spl0_60
| spl0_90 ),
inference(trivial_equality_resolution,[status(esa)],[f10669]) ).
fof(f10671,plain,
( ~ spl0_14
| ~ spl0_60
| spl0_90 ),
inference(contradiction_clause,[status(thm)],[f10670]) ).
fof(f10724,plain,
( ~ spl0_36
| ~ spl0_30
| ~ spl0_61
| spl0_88 ),
inference(split_clause,[status(thm)],[f2070,f578,f558,f659,f803]) ).
fof(f10770,plain,
( e1 != op(e1,e2)
| ~ spl0_33
| ~ spl0_2
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f569,f2078]) ).
fof(f10771,plain,
( e1 != e1
| ~ spl0_25
| ~ spl0_33
| ~ spl0_2
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f543,f10770]) ).
fof(f10772,plain,
( $false
| ~ spl0_25
| ~ spl0_33
| ~ spl0_2
| spl0_70 ),
inference(trivial_equality_resolution,[status(esa)],[f10771]) ).
fof(f10773,plain,
( ~ spl0_25
| ~ spl0_33
| ~ spl0_2
| spl0_70 ),
inference(contradiction_clause,[status(thm)],[f10772]) ).
fof(f10774,plain,
$false,
inference(sat_refutation,[status(thm)],[f473,f486,f499,f512,f525,f538,f551,f564,f577,f590,f603,f616,f629,f642,f655,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f704,f705,f709,f713,f717,f725,f726,f727,f728,f729,f737,f741,f748,f749,f753,f754,f761,f765,f772,f773,f777,f778,f785,f789,f796,f797,f801,f802,f809,f813,f820,f821,f825,f826,f830,f831,f835,f839,f843,f847,f851,f852,f853,f854,f855,f856,f860,f861,f865,f869,f873,f877,f881,f882,f883,f884,f885,f886,f890,f891,f895,f899,f903,f907,f911,f912,f913,f914,f915,f916,f920,f921,f922,f923,f924,f925,f929,f930,f931,f932,f933,f934,f938,f939,f940,f941,f943,f947,f948,f949,f950,f952,f956,f957,f958,f959,f960,f961,f965,f966,f967,f968,f969,f970,f974,f975,f976,f977,f978,f979,f983,f984,f985,f986,f987,f988,f992,f993,f994,f995,f996,f997,f1001,f1002,f1003,f1004,f1005,f1006,f1010,f1011,f1012,f1013,f1014,f1015,f1019,f1020,f1021,f1022,f1023,f1024,f1028,f1029,f1030,f1032,f1033,f1037,f1038,f1039,f1041,f1042,f1046,f1047,f1048,f1049,f1050,f1051,f1055,f1056,f1057,f1058,f1059,f1060,f1064,f1065,f1066,f1067,f1068,f1069,f1073,f1074,f1075,f1076,f1077,f1078,f1082,f1083,f1084,f1085,f1086,f1087,f1091,f1092,f1093,f1094,f1095,f1096,f1100,f1101,f1102,f1103,f1104,f1105,f1109,f1110,f1111,f1112,f1113,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1129,f1132,f1135,f1138,f1141,f1144,f1147,f1150,f1153,f1156,f1160,f1163,f1167,f1169,f1171,f1176,f1184,f1187,f1196,f1212,f1220,f1225,f1233,f1236,f1239,f1241,f1246,f1256,f1262,f1265,f1278,f1282,f1283,f1291,f1299,f1304,f1343,f1348,f1366,f1371,f1389,f1392,f1395,f1409,f1413,f1422,f1426,f1427,f1429,f1430,f1431,f1432,f1434,f1445,f1446,f1447,f1457,f1461,f1463,f1494,f1495,f1504,f1514,f1517,f1519,f1549,f1556,f1569,f1575,f1600,f1607,f1635,f1637,f1657,f1671,f1683,f1713,f1716,f1718,f1721,f1726,f1728,f1738,f1745,f1762,f1764,f1765,f1790,f1793,f1816,f1819,f1820,f1822,f1834,f1837,f1842,f1844,f1872,f1904,f1913,f1918,f1924,f1941,f1943,f1961,f1968,f1971,f1978,f1990,f2027,f2029,f2064,f2065,f2076,f2081,f2099,f2113,f2116,f2120,f2130,f2136,f2145,f2146,f2154,f2168,f2177,f2179,f2200,f2205,f2213,f2264,f2267,f2271,f2276,f2311,f2314,f2341,f2348,f2356,f2359,f2365,f2379,f2424,f2431,f2438,f2459,f2466,f2483,f2492,f2516,f2529,f2554,f2577,f2591,f2599,f2600,f2645,f2718,f2728,f2769,f2831,f2955,f2961,f3047,f3094,f3140,f3176,f3208,f3243,f3244,f3259,f3261,f3264,f3274,f3299,f3318,f3321,f3326,f3333,f3337,f3347,f3350,f3360,f3365,f3366,f3389,f3392,f3395,f3398,f3399,f3407,f3445,f3456,f3474,f3484,f3493,f3513,f3518,f3522,f3532,f3568,f3574,f3583,f3590,f3594,f3599,f3609,f3633,f3636,f3643,f3663,f3676,f3739,f4039,f4163,f4223,f4386,f4421,f4439,f4458,f4465,f4492,f4507,f4510,f4515,f4526,f4529,f4566,f4572,f4613,f4616,f4627,f4763,f4930,f4937,f4956,f4961,f4979,f4989,f5000,f5004,f5036,f5044,f5101,f5182,f5378,f5390,f5391,f5459,f5480,f5499,f5515,f5574,f5587,f5598,f5603,f5605,f5622,f5637,f5799,f5866,f5868,f5898,f5900,f5912,f5930,f5945,f6137,f6190,f6197,f6272,f6332,f6347,f6426,f6663,f6678,f6697,f6942,f6946,f6960,f6979,f6986,f7000,f7009,f7030,f7043,f7080,f7254,f7264,f7278,f7295,f7328,f7398,f7444,f7536,f7818,f7826,f7834,f7876,f7961,f8005,f8076,f8340,f8345,f8465,f8519,f8683,f8710,f8742,f8799,f8982,f8987,f9067,f9271,f9393,f9410,f9427,f9456,f9471,f9642,f9646,f9747,f10004,f10371,f10461,f10671,f10724,f10773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG163+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:29:41 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 8.51/1.43 % Refutation found
% 8.51/1.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.51/1.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.69/1.46 % Elapsed time: 1.128461 seconds
% 8.69/1.46 % CPU time: 8.741446 seconds
% 8.69/1.46 % Total memory used: 55.856 MB
% 8.69/1.46 % Net memory used: 53.906 MB
%------------------------------------------------------------------------------