TSTP Solution File: ALG145+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG145+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:10:18 EDT 2024
% Result : Unsatisfiable 0.17s 0.57s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 156
% Syntax : Number of formulae : 1329 ( 55 unt; 0 def)
% Number of atoms : 5353 (3103 equ)
% Maximal formula atoms : 176 ( 4 avg)
% Number of connectives : 7142 (3118 ~;2370 |;1521 &)
% ( 118 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 135 ( 133 usr; 134 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e1,e2) != e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e2,e1) != e2
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e2,e3) != e2
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e3,e0) != e3
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e3,e1) != e3
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e3,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e3,e3) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = 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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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(e3,e0) = e3
& op(e0,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(e3,e1) = e3
& op(e1,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(e3,e2) = e3
& op(e2,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(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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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(e3,e0) = e3
& op(e0,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(e3,e1) = e3
& op(e1,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(e3,e2) = e3
& op(e2,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 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e1,e2) != e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e2,e1) != e2
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e2,e3) != e2
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e3,e0) != e3
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e3,e1) != e3
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e3,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e3,e3) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( 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 ) ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f135,plain,
( op(e0,e1) != e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
( op(e0,e2) != e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
( op(e0,e3) != e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f138,plain,
( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f140,plain,
( op(e1,e2) != e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f141,plain,
( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f142,plain,
( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f143,plain,
( op(e2,e1) != e2
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f145,plain,
( op(e2,e3) != e2
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f146,plain,
( op(e3,e0) != e3
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f147,plain,
( op(e3,e1) != e3
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f148,plain,
( op(e3,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f150,plain,
( pd0_0
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f153,plain,
( pd0_0
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f154,plain,
( pd0_0
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f155,plain,
( pd0_0
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f156,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f157,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f159,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f161,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f163,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f165,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f168,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f169,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f171,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f176,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f177,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f182,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f183,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f184,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f185,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f186,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f187,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f188,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f189,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f190,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f191,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f192,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f193,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f196,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f197,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f198,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f199,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f200,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f201,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f202,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f203,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f202]) ).
fof(f204,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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(e3,e0) = e3
& op(e0,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(e3,e1) = e3
& op(e1,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(e3,e2) = e3
& op(e2,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(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f205,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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(e3,e0) = e3
& op(e0,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(e3,e1) = e3
& op(e1,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 ) ) ),
introduced(predicate_definition,[f204]) ).
fof(f206,plain,
( ~ pd0_0
| pd0_1
| ( op(e3,e2) = e3
& op(e2,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)],[f204,f205]) ).
fof(f207,plain,
( ~ pd0_0
| pd0_1
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f208,plain,
( ~ pd0_0
| pd0_1
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f209,plain,
( ~ pd0_0
| pd0_1
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f210,plain,
( ~ pd0_0
| pd0_1
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f211,plain,
( ~ pd0_0
| pd0_1
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f212,plain,
( ~ pd0_0
| pd0_1
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f213,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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(e3,e0) = e3
& op(e0,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(e3,e1) = e3
& op(e1,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(pre_NNF_transformation,[status(esa)],[f205]) ).
fof(f214,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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(e3,e0) = e3
& op(e0,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 ) ) ),
introduced(predicate_definition,[f213]) ).
fof(f215,plain,
( ~ pd0_1
| pd0_2
| ( op(e3,e1) = e3
& op(e1,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)],[f213,f214]) ).
fof(f216,plain,
( ~ pd0_1
| pd0_2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f217,plain,
( ~ pd0_1
| pd0_2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f218,plain,
( ~ pd0_1
| pd0_2
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f219,plain,
( ~ pd0_1
| pd0_2
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f220,plain,
( ~ pd0_1
| pd0_2
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f221,plain,
( ~ pd0_1
| pd0_2
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f222,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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(e3,e0) = e3
& op(e0,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(pre_NNF_transformation,[status(esa)],[f214]) ).
fof(f223,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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,[f222]) ).
fof(f224,plain,
( ~ pd0_2
| pd0_3
| ( op(e3,e0) = e3
& op(e0,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)],[f222,f223]) ).
fof(f225,plain,
( ~ pd0_2
| pd0_3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f226,plain,
( ~ pd0_2
| pd0_3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f227,plain,
( ~ pd0_2
| pd0_3
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f228,plain,
( ~ pd0_2
| pd0_3
| op(e3,op(e3,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f229,plain,
( ~ pd0_2
| pd0_3
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f230,plain,
( ~ pd0_2
| pd0_3
| op(e3,op(e3,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f231,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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(e3,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)],[f223]) ).
fof(f232,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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,[f231]) ).
fof(f233,plain,
( ~ pd0_3
| pd0_4
| ( op(e2,e3) = e2
& op(e3,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)],[f231,f232]) ).
fof(f234,plain,
( ~ pd0_3
| pd0_4
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f235,plain,
( ~ pd0_3
| pd0_4
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f236,plain,
( ~ pd0_3
| pd0_4
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f237,plain,
( ~ pd0_3
| pd0_4
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f238,plain,
( ~ pd0_3
| pd0_4
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f239,plain,
( ~ pd0_3
| pd0_4
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f240,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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) = 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)],[f232]) ).
fof(f241,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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,[f240]) ).
fof(f242,plain,
( ~ pd0_4
| pd0_5
| ( 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)],[f240,f241]) ).
fof(f243,plain,
( ~ pd0_4
| pd0_5
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f245,plain,
( ~ pd0_4
| pd0_5
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f247,plain,
( ~ pd0_4
| pd0_5
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f248,plain,
( ~ pd0_4
| pd0_5
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f249,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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,e1) = e2
& op(e1,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)],[f241]) ).
fof(f250,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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_5
| pd0_6
| ( op(e2,e1) = e2
& op(e1,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)],[f249,f250]) ).
fof(f252,plain,
( ~ pd0_5
| pd0_6
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f253,plain,
( ~ pd0_5
| pd0_6
| op(e1,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f254,plain,
( ~ pd0_5
| pd0_6
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f255,plain,
( ~ pd0_5
| pd0_6
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f256,plain,
( ~ pd0_5
| pd0_6
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f257,plain,
( ~ pd0_5
| pd0_6
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f258,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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(e2,e0) = e2
& op(e0,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(f259,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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,[f258]) ).
fof(f260,plain,
( ~ pd0_6
| pd0_7
| ( op(e2,e0) = e2
& op(e0,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)],[f258,f259]) ).
fof(f261,plain,
( ~ pd0_6
| pd0_7
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f262,plain,
( ~ pd0_6
| pd0_7
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f263,plain,
( ~ pd0_6
| pd0_7
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f264,plain,
( ~ pd0_6
| pd0_7
| op(e2,op(e2,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f265,plain,
( ~ pd0_6
| pd0_7
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f266,plain,
( ~ pd0_6
| pd0_7
| op(e2,op(e2,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f267,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,e3) = e1
& op(e3,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)],[f259]) ).
fof(f268,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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,[f267]) ).
fof(f269,plain,
( ~ pd0_7
| pd0_8
| ( op(e1,e3) = e1
& op(e3,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)],[f267,f268]) ).
fof(f270,plain,
( ~ pd0_7
| pd0_8
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f271,plain,
( ~ pd0_7
| pd0_8
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f272,plain,
( ~ pd0_7
| pd0_8
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f273,plain,
( ~ pd0_7
| pd0_8
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f274,plain,
( ~ pd0_7
| pd0_8
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f275,plain,
( ~ pd0_7
| pd0_8
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f269]) ).
fof(f276,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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(e2,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)],[f268]) ).
fof(f277,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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,[f276]) ).
fof(f278,plain,
( ~ pd0_8
| pd0_9
| ( op(e1,e2) = e1
& op(e2,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)],[f276,f277]) ).
fof(f279,plain,
( ~ pd0_8
| pd0_9
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f280,plain,
( ~ pd0_8
| pd0_9
| op(e2,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f281,plain,
( ~ pd0_8
| pd0_9
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f282,plain,
( ~ pd0_8
| pd0_9
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f283,plain,
( ~ pd0_8
| pd0_9
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f284,plain,
( ~ pd0_8
| pd0_9
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f285,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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) = 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)],[f277]) ).
fof(f286,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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,[f285]) ).
fof(f287,plain,
( ~ pd0_9
| pd0_10
| ( 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)],[f285,f286]) ).
fof(f288,plain,
( ~ pd0_9
| pd0_10
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f290,plain,
( ~ pd0_9
| pd0_10
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f291,plain,
( ~ pd0_9
| pd0_10
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f292,plain,
( ~ pd0_9
| pd0_10
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f293,plain,
( ~ pd0_9
| pd0_10
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f294,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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(e1,e0) = e1
& op(e0,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)],[f286]) ).
fof(f295,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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,[f294]) ).
fof(f296,plain,
( ~ pd0_10
| pd0_11
| ( op(e1,e0) = e1
& op(e0,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)],[f294,f295]) ).
fof(f297,plain,
( ~ pd0_10
| pd0_11
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f298,plain,
( ~ pd0_10
| pd0_11
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f299,plain,
( ~ pd0_10
| pd0_11
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f300,plain,
( ~ pd0_10
| pd0_11
| op(e1,op(e1,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f301,plain,
( ~ pd0_10
| pd0_11
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f302,plain,
( ~ pd0_10
| pd0_11
| op(e1,op(e1,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f303,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(e1,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,e2) = e0
& op(e2,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,e3) = e0
& op(e3,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)],[f295]) ).
fof(f304,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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,[f303]) ).
fof(f305,plain,
( ~ pd0_11
| pd0_12
| ( op(e0,e3) = e0
& op(e3,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(formula_renaming,[status(thm)],[f303,f304]) ).
fof(f306,plain,
( ~ pd0_11
| pd0_12
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f307,plain,
( ~ pd0_11
| pd0_12
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f308,plain,
( ~ pd0_11
| pd0_12
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f309,plain,
( ~ pd0_11
| pd0_12
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f310,plain,
( ~ pd0_11
| pd0_12
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f311,plain,
( ~ pd0_11
| pd0_12
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f312,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,e1) = e0
& op(e1,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,e2) = e0
& op(e2,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)],[f304]) ).
fof(f313,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(e1,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,[f312]) ).
fof(f314,plain,
( ~ pd0_12
| pd0_13
| ( op(e0,e2) = e0
& op(e2,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(formula_renaming,[status(thm)],[f312,f313]) ).
fof(f315,plain,
( ~ pd0_12
| pd0_13
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f316,plain,
( ~ pd0_12
| pd0_13
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f317,plain,
( ~ pd0_12
| pd0_13
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f318,plain,
( ~ pd0_12
| pd0_13
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f319,plain,
( ~ pd0_12
| pd0_13
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f320,plain,
( ~ pd0_12
| pd0_13
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f314]) ).
fof(f321,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(e1,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)],[f313]) ).
fof(f322,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 ) ),
introduced(predicate_definition,[f321]) ).
fof(f323,plain,
( ~ pd0_13
| pd0_14
| ( op(e0,e1) = e0
& op(e1,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(formula_renaming,[status(thm)],[f321,f322]) ).
fof(f324,plain,
( ~ pd0_13
| pd0_14
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f325,plain,
( ~ pd0_13
| pd0_14
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f326,plain,
( ~ pd0_13
| pd0_14
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f327,plain,
( ~ pd0_13
| pd0_14
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f328,plain,
( ~ pd0_13
| pd0_14
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f329,plain,
( ~ pd0_13
| pd0_14
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f330,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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f322]) ).
fof(f331,plain,
( ~ pd0_14
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f333,plain,
( ~ pd0_14
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f334,plain,
( ~ pd0_14
| op(e0,op(e0,e1)) != e1 ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f335,plain,
( ~ pd0_14
| op(e0,op(e0,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f336,plain,
( ~ pd0_14
| op(e0,op(e0,e3)) != e3 ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f337,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f338,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f341,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f344,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f347,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f337,f340,f343,f346]) ).
fof(f350,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f354,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f360,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f350,f353,f356,f359]) ).
fof(f363,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f366,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f32,f363,f366,f369,f372]) ).
fof(f376,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f377,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f376,f379,f382,f385]) ).
fof(f389,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f389,f392,f395,f398]) ).
fof(f402,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f403,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f402,f405,f408,f411]) ).
fof(f415,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f422,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f425,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f415,f418,f421,f424]) ).
fof(f428,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f428,f431,f434,f437]) ).
fof(f441,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f441,f444,f447,f450]) ).
fof(f454,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f454,f457,f460,f463]) ).
fof(f467,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f467,f470,f473,f476]) ).
fof(f480,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f480,f483,f486,f489]) ).
fof(f493,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f493,f496,f499,f502]) ).
fof(f506,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f506,f509,f512,f515]) ).
fof(f519,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f519,f522,f525,f528]) ).
fof(f532,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f539,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f532,f535,f538,f541]) ).
fof(f545,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f337,f350,f363,f376]) ).
fof(f546,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f337,f389,f441,f493]) ).
fof(f547,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f340,f353,f366,f379]) ).
fof(f548,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f340,f392,f444,f496]) ).
fof(f549,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f343,f356,f369,f382]) ).
fof(f550,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f343,f395,f447,f499]) ).
fof(f551,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f346,f359,f372,f385]) ).
fof(f552,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f346,f398,f450,f502]) ).
fof(f553,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f389,f402,f415,f428]) ).
fof(f554,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f350,f402,f454,f506]) ).
fof(f555,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f392,f405,f418,f431]) ).
fof(f556,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f353,f405,f457,f509]) ).
fof(f557,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f395,f408,f421,f434]) ).
fof(f558,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f356,f408,f460,f512]) ).
fof(f559,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f398,f411,f424,f437]) ).
fof(f560,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f359,f411,f463,f515]) ).
fof(f561,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f441,f454,f467,f480]) ).
fof(f562,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f363,f415,f467,f519]) ).
fof(f563,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f444,f457,f470,f483]) ).
fof(f564,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f366,f418,f470,f522]) ).
fof(f565,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f447,f460,f473,f486]) ).
fof(f566,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f369,f421,f473,f525]) ).
fof(f567,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f450,f463,f476,f489]) ).
fof(f568,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f372,f424,f476,f528]) ).
fof(f569,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f493,f506,f519,f532]) ).
fof(f570,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f376,f428,f480,f532]) ).
fof(f571,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f496,f509,f522,f535]) ).
fof(f572,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f379,f431,f483,f535]) ).
fof(f573,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f499,f512,f525,f538]) ).
fof(f574,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f382,f434,f486,f538]) ).
fof(f575,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f502,f515,f528,f541]) ).
fof(f576,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f385,f437,f489,f541]) ).
fof(f578,plain,
( ~ spl0_4
| spl0_1
| spl0_21
| spl0_41
| spl0_61 ),
inference(split_clause,[status(thm)],[f135,f350,f340,f405,f470,f535]) ).
fof(f579,plain,
( ~ spl0_8
| spl0_2
| spl0_22
| spl0_42
| spl0_62 ),
inference(split_clause,[status(thm)],[f136,f363,f343,f408,f473,f538]) ).
fof(f580,plain,
( ~ spl0_12
| spl0_3
| spl0_23
| spl0_43
| spl0_63 ),
inference(split_clause,[status(thm)],[f137,f376,f346,f411,f476,f541]) ).
fof(f581,plain,
( ~ spl0_17
| spl0_0
| spl0_20
| spl0_40
| spl0_60 ),
inference(split_clause,[status(thm)],[f138,f392,f337,f402,f467,f532]) ).
fof(f583,plain,
( ~ spl0_25
| spl0_2
| spl0_22
| spl0_42
| spl0_62 ),
inference(split_clause,[status(thm)],[f140,f418,f343,f408,f473,f538]) ).
fof(f584,plain,
( ~ spl0_29
| spl0_3
| spl0_23
| spl0_43
| spl0_63 ),
inference(split_clause,[status(thm)],[f141,f431,f346,f411,f476,f541]) ).
fof(f585,plain,
( ~ spl0_34
| spl0_0
| spl0_20
| spl0_40
| spl0_60 ),
inference(split_clause,[status(thm)],[f142,f447,f337,f402,f467,f532]) ).
fof(f586,plain,
( ~ spl0_38
| spl0_1
| spl0_21
| spl0_41
| spl0_61 ),
inference(split_clause,[status(thm)],[f143,f460,f340,f405,f470,f535]) ).
fof(f588,plain,
( ~ spl0_46
| spl0_3
| spl0_23
| spl0_43
| spl0_63 ),
inference(split_clause,[status(thm)],[f145,f486,f346,f411,f476,f541]) ).
fof(f589,plain,
( ~ spl0_51
| spl0_0
| spl0_20
| spl0_40
| spl0_60 ),
inference(split_clause,[status(thm)],[f146,f502,f337,f402,f467,f532]) ).
fof(f590,plain,
( ~ spl0_55
| spl0_1
| spl0_21
| spl0_41
| spl0_61 ),
inference(split_clause,[status(thm)],[f147,f515,f340,f405,f470,f535]) ).
fof(f591,plain,
( ~ spl0_59
| spl0_2
| spl0_22
| spl0_42
| spl0_62 ),
inference(split_clause,[status(thm)],[f148,f528,f343,f408,f473,f538]) ).
fof(f593,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( spl0_64
| spl0_63 ),
inference(split_clause,[status(thm)],[f150,f593,f541]) ).
fof(f598,plain,
( spl0_65
<=> op(e3,op(e3,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f600,plain,
( op(e3,op(e3,e0)) != e0
| spl0_65 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f602,plain,
( spl0_66
<=> op(e3,op(e3,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( op(e3,op(e3,e1)) != e1
| spl0_66 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( spl0_64
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f153,f593,f602]) ).
fof(f606,plain,
( spl0_67
<=> op(e3,op(e3,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f608,plain,
( op(e3,op(e3,e2)) != e2
| spl0_67 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( spl0_64
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f154,f593,f606]) ).
fof(f610,plain,
( spl0_68
<=> op(e3,op(e3,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f612,plain,
( op(e3,op(e3,e3)) != e3
| spl0_68 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( spl0_64
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f155,f593,f610]) ).
fof(f614,plain,
( spl0_69
<=> e0 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f616,plain,
( e0 != op(op(e2,e2),e2)
| spl0_69 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( spl0_70
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| spl0_70 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( ~ spl0_69
| ~ spl0_70
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f157,f614,f617,f476]) ).
fof(f621,plain,
( spl0_71
<=> e0 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f623,plain,
( e0 != op(op(e3,e3),e3)
| spl0_71 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( spl0_72
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f626,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| spl0_72 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ spl0_71
| ~ spl0_72
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f159,f621,f624,f538]) ).
fof(f628,plain,
( spl0_73
<=> e0 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f630,plain,
( e0 != op(op(e1,e1),e1)
| spl0_73 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( spl0_74
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f633,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| spl0_74 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( ~ spl0_73
| ~ spl0_74
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f161,f628,f631,f411]) ).
fof(f635,plain,
( spl0_75
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f638,plain,
( ~ spl0_71
| ~ spl0_75
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f163,f621,f635,f535]) ).
fof(f639,plain,
( spl0_76
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f641,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| spl0_76 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ spl0_73
| ~ spl0_76
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f165,f628,f639,f408]) ).
fof(f647,plain,
( spl0_78
<=> e1 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( e1 != op(op(e2,e2),e2)
| spl0_78 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( spl0_79
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| spl0_79 ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,plain,
( ~ spl0_78
| ~ spl0_79
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f169,f647,f650,f476]) ).
fof(f654,plain,
( spl0_80
<=> e1 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( e1 != op(op(e3,e3),e3)
| spl0_80 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( spl0_81
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| spl0_81 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,plain,
( ~ spl0_80
| ~ spl0_81
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f171,f654,f657,f538]) ).
fof(f661,plain,
( spl0_82
<=> e1 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f664,plain,
( spl0_83
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| spl0_83 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f669,plain,
( spl0_84
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f671,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| spl0_84 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( ~ spl0_82
| ~ spl0_84
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f177,f661,f669,f343]) ).
fof(f674,plain,
( spl0_85
<=> e2 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( e2 != op(op(e1,e1),e1)
| spl0_85 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_86
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| spl0_86 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f681,plain,
( spl0_87
<=> e2 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f683,plain,
( e2 != op(op(e3,e3),e3)
| spl0_87 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( ~ spl0_87
| ~ spl0_81
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f183,f681,f657,f535]) ).
fof(f685,plain,
( spl0_88
<=> e2 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( e2 != op(op(e0,e0),e0)
| spl0_88 ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( spl0_89
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f690,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| spl0_89 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ spl0_88
| ~ spl0_89
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f185,f685,f688,f346]) ).
fof(f692,plain,
( ~ spl0_87
| ~ spl0_72
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f187,f681,f624,f532]) ).
fof(f693,plain,
( ~ spl0_88
| ~ spl0_84
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f189,f685,f669,f340]) ).
fof(f694,plain,
( ~ spl0_85
| ~ spl0_76
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f191,f674,f639,f402]) ).
fof(f695,plain,
( spl0_90
<=> e3 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f697,plain,
( e3 != op(op(e1,e1),e1)
| spl0_90 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( ~ spl0_90
| ~ spl0_86
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f193,f695,f677,f408]) ).
fof(f699,plain,
( spl0_91
<=> e3 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( e3 != op(op(e2,e2),e2)
| spl0_91 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f703,plain,
( spl0_92
<=> e3 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f705,plain,
( e3 != op(op(e0,e0),e0)
| spl0_92 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( ~ spl0_92
| ~ spl0_89
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f197,f703,f688,f343]) ).
fof(f707,plain,
( ~ spl0_91
| ~ spl0_70
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f199,f699,f617,f467]) ).
fof(f708,plain,
( ~ spl0_92
| ~ spl0_83
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f201,f703,f664,f340]) ).
fof(f709,plain,
( ~ spl0_90
| ~ spl0_74
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f203,f695,f631,f402]) ).
fof(f710,plain,
( spl0_93
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f713,plain,
( ~ spl0_64
| spl0_93
| spl0_59 ),
inference(split_clause,[status(thm)],[f207,f593,f710,f528]) ).
fof(f714,plain,
( ~ spl0_64
| spl0_93
| spl0_47 ),
inference(split_clause,[status(thm)],[f208,f593,f710,f489]) ).
fof(f715,plain,
( ~ spl0_64
| spl0_93
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f209,f593,f710,f598]) ).
fof(f716,plain,
( ~ spl0_64
| spl0_93
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f210,f593,f710,f602]) ).
fof(f717,plain,
( ~ spl0_64
| spl0_93
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f211,f593,f710,f606]) ).
fof(f718,plain,
( ~ spl0_64
| spl0_93
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f212,f593,f710,f610]) ).
fof(f719,plain,
( spl0_94
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f722,plain,
( ~ spl0_93
| spl0_94
| spl0_55 ),
inference(split_clause,[status(thm)],[f216,f710,f719,f515]) ).
fof(f723,plain,
( ~ spl0_93
| spl0_94
| spl0_31 ),
inference(split_clause,[status(thm)],[f217,f710,f719,f437]) ).
fof(f724,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f218,f710,f719,f598]) ).
fof(f725,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f219,f710,f719,f602]) ).
fof(f726,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f220,f710,f719,f606]) ).
fof(f727,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f221,f710,f719,f610]) ).
fof(f728,plain,
( spl0_95
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f731,plain,
( ~ spl0_94
| spl0_95
| spl0_51 ),
inference(split_clause,[status(thm)],[f225,f719,f728,f502]) ).
fof(f732,plain,
( ~ spl0_94
| spl0_95
| spl0_15 ),
inference(split_clause,[status(thm)],[f226,f719,f728,f385]) ).
fof(f733,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f227,f719,f728,f598]) ).
fof(f734,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f228,f719,f728,f602]) ).
fof(f735,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f229,f719,f728,f606]) ).
fof(f736,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f230,f719,f728,f610]) ).
fof(f737,plain,
( spl0_96
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( ~ spl0_95
| spl0_96
| spl0_46 ),
inference(split_clause,[status(thm)],[f234,f728,f737,f486]) ).
fof(f741,plain,
( ~ spl0_95
| spl0_96
| spl0_58 ),
inference(split_clause,[status(thm)],[f235,f728,f737,f525]) ).
fof(f742,plain,
( spl0_97
<=> op(e2,op(e2,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( op(e2,op(e2,e0)) != e0
| spl0_97 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f236,f728,f737,f742]) ).
fof(f746,plain,
( spl0_98
<=> op(e2,op(e2,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op(e2,op(e2,e1)) = e1
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( op(e2,op(e2,e1)) != e1
| spl0_98 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f237,f728,f737,f746]) ).
fof(f750,plain,
( spl0_99
<=> op(e2,op(e2,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( op(e2,op(e2,e2)) != e2
| spl0_99 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f238,f728,f737,f750]) ).
fof(f754,plain,
( spl0_100
<=> op(e2,op(e2,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op(e2,op(e2,e3)) != e3
| spl0_100 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f239,f728,f737,f754]) ).
fof(f758,plain,
( spl0_101
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f761,plain,
( ~ spl0_96
| spl0_101
| spl0_42 ),
inference(split_clause,[status(thm)],[f243,f737,f758,f473]) ).
fof(f763,plain,
( ~ spl0_96
| spl0_101
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f245,f737,f758,f742]) ).
fof(f765,plain,
( ~ spl0_96
| spl0_101
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f247,f737,f758,f750]) ).
fof(f766,plain,
( ~ spl0_96
| spl0_101
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f248,f737,f758,f754]) ).
fof(f767,plain,
( spl0_102
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f770,plain,
( ~ spl0_101
| spl0_102
| spl0_38 ),
inference(split_clause,[status(thm)],[f252,f758,f767,f460]) ).
fof(f771,plain,
( ~ spl0_101
| spl0_102
| spl0_26 ),
inference(split_clause,[status(thm)],[f253,f758,f767,f421]) ).
fof(f772,plain,
( ~ spl0_101
| spl0_102
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f254,f758,f767,f742]) ).
fof(f773,plain,
( ~ spl0_101
| spl0_102
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f255,f758,f767,f746]) ).
fof(f774,plain,
( ~ spl0_101
| spl0_102
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f256,f758,f767,f750]) ).
fof(f775,plain,
( ~ spl0_101
| spl0_102
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f257,f758,f767,f754]) ).
fof(f776,plain,
( spl0_103
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( ~ spl0_102
| spl0_103
| spl0_34 ),
inference(split_clause,[status(thm)],[f261,f767,f776,f447]) ).
fof(f780,plain,
( ~ spl0_102
| spl0_103
| spl0_10 ),
inference(split_clause,[status(thm)],[f262,f767,f776,f369]) ).
fof(f781,plain,
( ~ spl0_102
| spl0_103
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f263,f767,f776,f742]) ).
fof(f782,plain,
( ~ spl0_102
| spl0_103
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f264,f767,f776,f746]) ).
fof(f783,plain,
( ~ spl0_102
| spl0_103
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f265,f767,f776,f750]) ).
fof(f784,plain,
( ~ spl0_102
| spl0_103
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f266,f767,f776,f754]) ).
fof(f785,plain,
( spl0_104
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( ~ spl0_103
| spl0_104
| spl0_29 ),
inference(split_clause,[status(thm)],[f270,f776,f785,f431]) ).
fof(f789,plain,
( ~ spl0_103
| spl0_104
| spl0_53 ),
inference(split_clause,[status(thm)],[f271,f776,f785,f509]) ).
fof(f790,plain,
( spl0_105
<=> op(e1,op(e1,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( op(e1,op(e1,e0)) != e0
| spl0_105 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( ~ spl0_103
| spl0_104
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f272,f776,f785,f790]) ).
fof(f794,plain,
( spl0_106
<=> op(e1,op(e1,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f796,plain,
( op(e1,op(e1,e1)) != e1
| spl0_106 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( ~ spl0_103
| spl0_104
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f273,f776,f785,f794]) ).
fof(f798,plain,
( spl0_107
<=> op(e1,op(e1,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( op(e1,op(e1,e2)) != e2
| spl0_107 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( ~ spl0_103
| spl0_104
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f274,f776,f785,f798]) ).
fof(f802,plain,
( spl0_108
<=> op(e1,op(e1,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f804,plain,
( op(e1,op(e1,e3)) != e3
| spl0_108 ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( ~ spl0_103
| spl0_104
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f275,f776,f785,f802]) ).
fof(f806,plain,
( spl0_109
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f809,plain,
( ~ spl0_104
| spl0_109
| spl0_25 ),
inference(split_clause,[status(thm)],[f279,f785,f806,f418]) ).
fof(f810,plain,
( ~ spl0_104
| spl0_109
| spl0_37 ),
inference(split_clause,[status(thm)],[f280,f785,f806,f457]) ).
fof(f811,plain,
( ~ spl0_104
| spl0_109
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f281,f785,f806,f790]) ).
fof(f812,plain,
( ~ spl0_104
| spl0_109
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f282,f785,f806,f794]) ).
fof(f813,plain,
( ~ spl0_104
| spl0_109
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f283,f785,f806,f798]) ).
fof(f814,plain,
( ~ spl0_104
| spl0_109
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f284,f785,f806,f802]) ).
fof(f815,plain,
( spl0_110
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( ~ spl0_109
| spl0_110
| spl0_21 ),
inference(split_clause,[status(thm)],[f288,f806,f815,f405]) ).
fof(f820,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f290,f806,f815,f790]) ).
fof(f821,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f291,f806,f815,f794]) ).
fof(f822,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f292,f806,f815,f798]) ).
fof(f823,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f293,f806,f815,f802]) ).
fof(f824,plain,
( spl0_111
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f827,plain,
( ~ spl0_110
| spl0_111
| spl0_17 ),
inference(split_clause,[status(thm)],[f297,f815,f824,f392]) ).
fof(f828,plain,
( ~ spl0_110
| spl0_111
| spl0_5 ),
inference(split_clause,[status(thm)],[f298,f815,f824,f353]) ).
fof(f829,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f299,f815,f824,f790]) ).
fof(f830,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f300,f815,f824,f794]) ).
fof(f831,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f301,f815,f824,f798]) ).
fof(f832,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f302,f815,f824,f802]) ).
fof(f833,plain,
( spl0_112
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( ~ spl0_111
| spl0_112
| spl0_12 ),
inference(split_clause,[status(thm)],[f306,f824,f833,f376]) ).
fof(f837,plain,
( ~ spl0_111
| spl0_112
| spl0_48 ),
inference(split_clause,[status(thm)],[f307,f824,f833,f493]) ).
fof(f838,plain,
( spl0_113
<=> op(e0,op(e0,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f840,plain,
( op(e0,op(e0,e0)) != e0
| spl0_113 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( ~ spl0_111
| spl0_112
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f308,f824,f833,f838]) ).
fof(f842,plain,
( spl0_114
<=> op(e0,op(e0,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op(e0,op(e0,e1)) != e1
| spl0_114 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( ~ spl0_111
| spl0_112
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f309,f824,f833,f842]) ).
fof(f846,plain,
( spl0_115
<=> op(e0,op(e0,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f848,plain,
( op(e0,op(e0,e2)) != e2
| spl0_115 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( ~ spl0_111
| spl0_112
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f310,f824,f833,f846]) ).
fof(f850,plain,
( spl0_116
<=> op(e0,op(e0,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( op(e0,op(e0,e3)) = e3
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( op(e0,op(e0,e3)) != e3
| spl0_116 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,plain,
( ~ spl0_111
| spl0_112
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f311,f824,f833,f850]) ).
fof(f854,plain,
( spl0_117
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f857,plain,
( ~ spl0_112
| spl0_117
| spl0_8 ),
inference(split_clause,[status(thm)],[f315,f833,f854,f363]) ).
fof(f858,plain,
( ~ spl0_112
| spl0_117
| spl0_32 ),
inference(split_clause,[status(thm)],[f316,f833,f854,f441]) ).
fof(f859,plain,
( ~ spl0_112
| spl0_117
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f317,f833,f854,f838]) ).
fof(f860,plain,
( ~ spl0_112
| spl0_117
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f318,f833,f854,f842]) ).
fof(f861,plain,
( ~ spl0_112
| spl0_117
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f319,f833,f854,f846]) ).
fof(f862,plain,
( ~ spl0_112
| spl0_117
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f320,f833,f854,f850]) ).
fof(f863,plain,
( spl0_118
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f866,plain,
( ~ spl0_117
| spl0_118
| spl0_4 ),
inference(split_clause,[status(thm)],[f324,f854,f863,f350]) ).
fof(f867,plain,
( ~ spl0_117
| spl0_118
| spl0_16 ),
inference(split_clause,[status(thm)],[f325,f854,f863,f389]) ).
fof(f868,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f326,f854,f863,f838]) ).
fof(f869,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f327,f854,f863,f842]) ).
fof(f870,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f328,f854,f863,f846]) ).
fof(f871,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f329,f854,f863,f850]) ).
fof(f872,plain,
( ~ spl0_118
| spl0_0 ),
inference(split_clause,[status(thm)],[f331,f863,f337]) ).
fof(f874,plain,
( ~ spl0_118
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f333,f863,f838]) ).
fof(f875,plain,
( ~ spl0_118
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f334,f863,f842]) ).
fof(f876,plain,
( ~ spl0_118
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f335,f863,f846]) ).
fof(f877,plain,
( ~ spl0_118
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f336,f863,f850]) ).
fof(f878,plain,
( e0 != op(e1,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f338,f78]) ).
fof(f882,plain,
( e0 != op(e2,e0)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f338,f79]) ).
fof(f883,plain,
( e0 != op(e3,e0)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f338,f80]) ).
fof(f884,plain,
( op(e0,e1) != e1
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f406,f84]) ).
fof(f885,plain,
( e1 != op(e2,e1)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f406,f87]) ).
fof(f887,plain,
( e0 != op(e0,e1)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f338,f102]) ).
fof(f888,plain,
( e0 != op(e0,e2)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f338,f103]) ).
fof(f890,plain,
( op(e1,e0) != e1
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f406,f108]) ).
fof(f892,plain,
( e1 != op(e1,e3)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f406,f112]) ).
fof(f894,plain,
( op(e2,e1) != e2
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f474,f117]) ).
fof(f895,plain,
( op(e2,e0) != e2
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f474,f115]) ).
fof(f896,plain,
( e2 != op(e3,e2)
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f474,f95]) ).
fof(f898,plain,
( op(e0,e2) != e2
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f474,f91]) ).
fof(f899,plain,
( op(e3,e2) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f542,f125]) ).
fof(f900,plain,
( op(e3,e1) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f542,f124]) ).
fof(f901,plain,
( op(e3,e0) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f542,f122]) ).
fof(f902,plain,
( op(e2,e3) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f542,f101]) ).
fof(f903,plain,
( op(e1,e3) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f542,f100]) ).
fof(f904,plain,
( op(e0,e3) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f542,f98]) ).
fof(f905,plain,
( op(e2,e1) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f490,f118]) ).
fof(f906,plain,
( op(e2,e0) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f490,f116]) ).
fof(f907,plain,
( op(e1,e3) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f490,f99]) ).
fof(f908,plain,
( op(e0,e3) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f490,f97]) ).
fof(f909,plain,
( e0 != op(e1,e3)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f390,f110]) ).
fof(f912,plain,
( $false
| ~ spl0_0
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f882]) ).
fof(f913,plain,
( ~ spl0_0
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f914,plain,
( e0 != op(e2,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f390,f81]) ).
fof(f915,plain,
( e0 != op(e3,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f390,f82]) ).
fof(f918,plain,
( e0 != op(e3,e1)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f494,f120]) ).
fof(f919,plain,
( op(e2,e0) != e0
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f494,f83]) ).
fof(f920,plain,
( $false
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f884]) ).
fof(f921,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( e0 != e0
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f390,f878]) ).
fof(f924,plain,
( $false
| ~ spl0_16
| ~ spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f923]) ).
fof(f925,plain,
( ~ spl0_16
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f928,plain,
( op(e2,e0) != e1
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f458,f114]) ).
fof(f929,plain,
( e1 != op(e3,e1)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f458,f89]) ).
fof(f930,plain,
( op(e0,e1) != e1
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f458,f85]) ).
fof(f931,plain,
( op(e1,e1) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f510,f88]) ).
fof(f932,plain,
( e1 != op(e3,e2)
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f510,f123]) ).
fof(f933,plain,
( op(e0,e1) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f510,f86]) ).
fof(f934,plain,
( op(e0,e0) != e2
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f370,f103]) ).
fof(f935,plain,
( e2 != op(e0,e3)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f370,f107]) ).
fof(f936,plain,
( op(e0,e1) != e2
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f370,f105]) ).
fof(f937,plain,
( e2 != op(e3,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f370,f92]) ).
fof(f938,plain,
( e2 != op(e1,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f370,f90]) ).
fof(f939,plain,
( op(e1,e1) != e2
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f422,f111]) ).
fof(f940,plain,
( e2 != op(e1,e3)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f422,f113]) ).
fof(f941,plain,
( e2 != op(e3,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f422,f94]) ).
fof(f942,plain,
( op(e0,e0) != e3
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f386,f104]) ).
fof(f944,plain,
( e3 != op(e1,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f386,f96]) ).
fof(f945,plain,
( op(e1,e1) != e3
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f438,f112]) ).
fof(f946,plain,
( e3 = e2
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f438,f435]) ).
fof(f947,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f131]) ).
fof(f948,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f947]) ).
fof(f949,plain,
( e0 != e0
| ~ spl0_48
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f494,f883]) ).
fof(f950,plain,
( $false
| ~ spl0_48
| ~ spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f949]) ).
fof(f951,plain,
( ~ spl0_48
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f952,plain,
( op(e1,e0) != e2
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f422,f109]) ).
fof(f955,plain,
( ~ spl0_32
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f914,f441,f389]) ).
fof(f956,plain,
( e0 != e0
| ~ spl0_48
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f494,f915]) ).
fof(f957,plain,
( $false
| ~ spl0_48
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f956]) ).
fof(f958,plain,
( ~ spl0_48
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f957]) ).
fof(f959,plain,
( e1 != e1
| ~ spl0_37
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f458,f885]) ).
fof(f960,plain,
( $false
| ~ spl0_37
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f959]) ).
fof(f961,plain,
( ~ spl0_37
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( op(e3,e0) != e1
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f510,f120]) ).
fof(f964,plain,
( e3 = e2
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f386,f383]) ).
fof(f965,plain,
( $false
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f964,f131]) ).
fof(f966,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f510,f516]) ).
fof(f969,plain,
( $false
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f130]) ).
fof(f970,plain,
( ~ spl0_53
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f971,plain,
( op(e3,e1) != e2
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f526,f123]) ).
fof(f972,plain,
( op(e0,e1) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f513,f86]) ).
fof(f973,plain,
( op(e1,e1) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f513,f88]) ).
fof(f975,plain,
( op(e2,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f500,f83]) ).
fof(f976,plain,
( op(e0,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f500,f80]) ).
fof(f977,plain,
( op(e1,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f500,f82]) ).
fof(f983,plain,
( e3 = e1
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f490,f484]) ).
fof(f984,plain,
( $false
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f130]) ).
fof(f985,plain,
( ~ spl0_47
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( e1 != op(e2,e3)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f458,f118]) ).
fof(f987,plain,
( e1 != op(e2,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f380,f97]) ).
fof(f988,plain,
( e1 != op(e1,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f380,f96]) ).
fof(f989,plain,
( op(e0,e1) != e1
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f380,f106]) ).
fof(f990,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f989,f353,f379]) ).
fof(f991,plain,
( op(e0,e0) != e1
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f380,f104]) ).
fof(f994,plain,
( op(e2,e1) != e2
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f513,f89]) ).
fof(f995,plain,
( e2 = e1
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f526,f523]) ).
fof(f996,plain,
( $false
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f129]) ).
fof(f997,plain,
( ~ spl0_58
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( e2 != op(e3,e2)
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f500,f121]) ).
fof(f1001,plain,
( ~ spl0_5
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f930,f353,f457]) ).
fof(f1005,plain,
( e2 = e1
| ~ spl0_50
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f500,f497]) ).
fof(f1006,plain,
( $false
| ~ spl0_50
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1005,f129]) ).
fof(f1007,plain,
( ~ spl0_50
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( op(e2,e1) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f481,f118]) ).
fof(f1010,plain,
( op(e1,e3) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f481,f99]) ).
fof(f1011,plain,
( op(e2,e0) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f481,f116]) ).
fof(f1014,plain,
( op(e1,e1) != e0
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f429,f112]) ).
fof(f1016,plain,
( e2 = e0
| ~ spl0_54
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f513,f507]) ).
fof(f1017,plain,
( $false
| ~ spl0_54
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f127]) ).
fof(f1018,plain,
( ~ spl0_54
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f1017]) ).
fof(f1020,plain,
( e2 = e3
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f422,f425]) ).
fof(f1021,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f131]) ).
fof(f1022,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1021]) ).
fof(f1024,plain,
( op(e1,e2) != e0
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f520,f94]) ).
fof(f1025,plain,
( e2 = e3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f370,f373]) ).
fof(f1026,plain,
( $false
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f131]) ).
fof(f1027,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1028,plain,
( e2 = e3
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f474,f477]) ).
fof(f1029,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1028,f131]) ).
fof(f1030,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1029]) ).
fof(f1031,plain,
( op(e0,e2) != e0
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f520,f92]) ).
fof(f1032,plain,
( op(e2,e2) != e0
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f481,f119]) ).
fof(f1033,plain,
( op(e2,e2) != e0
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f520,f95]) ).
fof(f1036,plain,
( e3 != op(e2,e2)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f464,f117]) ).
fof(f1037,plain,
( e3 != op(e3,e1)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f464,f89]) ).
fof(f1038,plain,
( op(e0,e1) != e3
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f464,f85]) ).
fof(f1039,plain,
( op(e2,e0) != e3
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f464,f114]) ).
fof(f1041,plain,
( e3 != op(e2,e2)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f451,f115]) ).
fof(f1042,plain,
( e3 != op(e3,e0)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f451,f83]) ).
fof(f1043,plain,
( op(e1,e0) != e3
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f451,f81]) ).
fof(f1044,plain,
( op(e0,e0) != e3
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f451,f79]) ).
fof(f1045,plain,
( e1 != op(e2,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f367,f91]) ).
fof(f1046,plain,
( e1 != op(e1,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f367,f90]) ).
fof(f1047,plain,
( op(e0,e1) != e1
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f367,f105]) ).
fof(f1048,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1047,f353,f366]) ).
fof(f1049,plain,
( e1 != op(e0,e3)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f367,f107]) ).
fof(f1050,plain,
( op(e0,e0) != e1
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f367,f103]) ).
fof(f1053,plain,
( e3 = e2
| ~ spl0_35
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f451,f448]) ).
fof(f1054,plain,
( $false
| ~ spl0_35
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f131]) ).
fof(f1055,plain,
( ~ spl0_35
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( e0 = e3
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f520,f529]) ).
fof(f1057,plain,
( $false
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f128]) ).
fof(f1058,plain,
( ~ spl0_56
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1057]) ).
fof(f1059,plain,
( e0 = e1
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f429,f432]) ).
fof(f1060,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f126]) ).
fof(f1061,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f1060]) ).
fof(f1062,plain,
( ~ spl0_32
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f919,f441,f493]) ).
fof(f1063,plain,
( op(e0,e0) != e1
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f445,f79]) ).
fof(f1064,plain,
( op(e1,e0) != e1
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f445,f81]) ).
fof(f1066,plain,
( e1 != op(e2,e2)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f445,f115]) ).
fof(f1067,plain,
( e0 != op(e1,e3)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f416,f113]) ).
fof(f1069,plain,
( op(e0,e2) != e0
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f416,f90]) ).
fof(f1070,plain,
( e0 != op(e2,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f416,f93]) ).
fof(f1071,plain,
( op(e1,e1) != e0
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f416,f111]) ).
fof(f1072,plain,
( op(e1,e0) != e0
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f416,f109]) ).
fof(f1073,plain,
( e3 = e0
| ~ spl0_39
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f464,f455]) ).
fof(f1074,plain,
( $false
| ~ spl0_39
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f128]) ).
fof(f1075,plain,
( ~ spl0_39
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1077,plain,
( e0 = e3
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f481,f490]) ).
fof(f1078,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f128]) ).
fof(f1079,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f907,f437,f489]) ).
fof(f1084,plain,
( e1 != op(e2,e3)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f445,f116]) ).
fof(f1086,plain,
( e3 != op(e0,e2)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f360,f105]) ).
fof(f1087,plain,
( e3 != op(e3,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f360,f86]) ).
fof(f1088,plain,
( e3 != op(e0,e3)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f360,f106]) ).
fof(f1091,plain,
( e3 != op(e1,e3)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f399,f110]) ).
fof(f1092,plain,
( e3 != op(e3,e0)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f399,f82]) ).
fof(f1093,plain,
( op(e0,e0) != e3
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f399,f78]) ).
fof(f1095,plain,
( e3 = e2
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f360,f357]) ).
fof(f1096,plain,
( $false
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1095,f131]) ).
fof(f1097,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1096]) ).
fof(f1098,plain,
( e3 = e2
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f399,f396]) ).
fof(f1099,plain,
( $false
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1098,f131]) ).
fof(f1100,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1099]) ).
fof(f1101,plain,
( op(e1,e0) != e0
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f403,f108]) ).
fof(f1102,plain,
( op(e0,e1) != e0
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f403,f84]) ).
fof(f1103,plain,
( e2 != op(e0,e1)
| ~ spl0_20
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f403,f676]) ).
fof(f1104,plain,
( e3 != op(op(e1,e1),e0)
| ~ spl0_20
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f403,f641]) ).
fof(f1105,plain,
( e3 != op(e0,e0)
| ~ spl0_20
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f403,f1104]) ).
fof(f1106,plain,
( e0 != op(e2,e1)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f403,f87]) ).
fof(f1111,plain,
( e3 != op(e0,e1)
| ~ spl0_20
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f403,f697]) ).
fof(f1112,plain,
( e1 != op(e1,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f341,f78]) ).
fof(f1113,plain,
( e1 != op(e0,e1)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f341,f102]) ).
fof(f1114,plain,
( e2 != op(e1,e0)
| ~ spl0_1
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f341,f687]) ).
fof(f1115,plain,
( e3 != op(op(e0,e0),e1)
| ~ spl0_1
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f341,f671]) ).
fof(f1116,plain,
( e3 != op(e1,e1)
| ~ spl0_1
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f341,f1115]) ).
fof(f1119,plain,
( e1 != op(e3,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f341,f80]) ).
fof(f1121,plain,
( e1 != op(op(e0,e0),e1)
| ~ spl0_1
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f341,f690]) ).
fof(f1122,plain,
( e1 != op(e1,e1)
| ~ spl0_1
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f341,f1121]) ).
fof(f1124,plain,
( e3 != op(e1,e0)
| ~ spl0_1
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f341,f705]) ).
fof(f1125,plain,
( e2 != op(op(e0,e0),e1)
| ~ spl0_1
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f341,f666]) ).
fof(f1126,plain,
( e2 != op(e1,e1)
| ~ spl0_1
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f341,f1125]) ).
fof(f1129,plain,
( op(e2,e1) != e0
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f468,f117]) ).
fof(f1131,plain,
( op(e0,e2) != e0
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f468,f91]) ).
fof(f1143,plain,
( e1 = e2
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f341,f344]) ).
fof(f1144,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f129]) ).
fof(f1145,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1148,plain,
( e0 = e1
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f468,f471]) ).
fof(f1149,plain,
( $false
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1148,f126]) ).
fof(f1150,plain,
( ~ spl0_40
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( e0 = e2
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f403,f409]) ).
fof(f1152,plain,
( $false
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1151,f127]) ).
fof(f1153,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( e3 = e0
| ~ spl0_63
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f542,f533]) ).
fof(f1155,plain,
( $false
| ~ spl0_63
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1154,f128]) ).
fof(f1156,plain,
( ~ spl0_63
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1158,plain,
( e3 != op(e3,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f347,f80]) ).
fof(f1160,plain,
( e3 != op(e0,e1)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f347,f102]) ).
fof(f1162,plain,
( op(e0,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f536,f98]) ).
fof(f1163,plain,
( op(e1,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f536,f100]) ).
fof(f1164,plain,
( op(e2,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f536,f101]) ).
fof(f1165,plain,
( op(e3,e0) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f536,f122]) ).
fof(f1168,plain,
( e1 = e2
| ~ spl0_61
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f536,f539]) ).
fof(f1169,plain,
( $false
| ~ spl0_61
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f129]) ).
fof(f1170,plain,
( ~ spl0_61
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1171,plain,
( ~ spl0_21
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f931,f405,f509]) ).
fof(f1174,plain,
( ~ spl0_58
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f896,f525,f473]) ).
fof(f1180,plain,
( e3 = e1
| ~ spl0_3
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f347,f341]) ).
fof(f1181,plain,
( $false
| ~ spl0_3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f130]) ).
fof(f1182,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1181]) ).
fof(f1183,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f416,f419]) ).
fof(f1184,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f126]) ).
fof(f1185,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
( e1 != e1
| ~ spl0_33
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f445,f928]) ).
fof(f1187,plain,
( $false
| ~ spl0_33
| ~ spl0_37 ),
inference(trivial_equality_resolution,[status(esa)],[f1186]) ).
fof(f1188,plain,
( ~ spl0_33
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1187]) ).
fof(f1189,plain,
( ~ spl0_53
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f929,f509,f457]) ).
fof(f1190,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f940,f434,f421]) ).
fof(f1191,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1102,f350,f402]) ).
fof(f1192,plain,
( ~ spl0_57
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f932,f522,f509]) ).
fof(f1193,plain,
( ~ spl0_13
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1049,f379,f366]) ).
fof(f1194,plain,
( ~ spl0_41
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1045,f470,f366]) ).
fof(f1195,plain,
( ~ spl0_15
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f904,f385,f541]) ).
fof(f1196,plain,
( ~ spl0_10
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f898,f369,f473]) ).
fof(f1197,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1063,f340,f444]) ).
fof(f1198,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1033,f467,f519]) ).
fof(f1200,plain,
( op(e0,e0) != e3
| ~ spl0_12
| spl0_116 ),
inference(backward_demodulation,[status(thm)],[f377,f852]) ).
fof(f1201,plain,
( ~ spl0_3
| ~ spl0_12
| spl0_116 ),
inference(split_clause,[status(thm)],[f1200,f346,f376,f850]) ).
fof(f1202,plain,
( op(e0,e0) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f377,f104]) ).
fof(f1203,plain,
( e0 != op(e3,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f377,f98]) ).
fof(f1204,plain,
( ~ spl0_60
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1203,f532,f376]) ).
fof(f1205,plain,
( op(e0,e1) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f377,f106]) ).
fof(f1206,plain,
( e0 != op(e1,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f377,f96]) ).
fof(f1207,plain,
( ~ spl0_28
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1206,f428,f376]) ).
fof(f1208,plain,
( op(e0,e2) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f377,f107]) ).
fof(f1209,plain,
( ~ spl0_55
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f900,f515,f541]) ).
fof(f1210,plain,
( ~ spl0_31
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f903,f437,f541]) ).
fof(f1211,plain,
( ~ spl0_29
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f892,f431,f405]) ).
fof(f1212,plain,
( ~ spl0_55
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1087,f515,f359]) ).
fof(f1213,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_90 ),
inference(split_clause,[status(thm)],[f1111,f359,f402,f695]) ).
fof(f1214,plain,
( ~ spl0_20
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1071,f402,f415]) ).
fof(f1215,plain,
( ~ spl0_45
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f987,f483,f379]) ).
fof(f1216,plain,
( ~ spl0_29
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f988,f431,f379]) ).
fof(f1217,plain,
( ~ spl0_36
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1129,f454,f467]) ).
fof(f1218,plain,
( ~ spl0_8
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1131,f363,f467]) ).
fof(f1219,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f976,f343,f499]) ).
fof(f1220,plain,
( ~ spl0_8
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1031,f363,f519]) ).
fof(f1221,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f887,f350,f337]) ).
fof(f1222,plain,
( ~ spl0_26
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f938,f421,f369]) ).
fof(f1223,plain,
( ~ spl0_28
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1010,f428,f480]) ).
fof(f1224,plain,
( ~ spl0_28
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1067,f428,f415]) ).
fof(f1225,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1072,f389,f415]) ).
fof(f1227,plain,
( op(e3,e0) != e1
| ~ spl0_52
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f507,f604]) ).
fof(f1228,plain,
( ~ spl0_49
| ~ spl0_52
| spl0_66 ),
inference(split_clause,[status(thm)],[f1227,f496,f506,f602]) ).
fof(f1230,plain,
( e0 != op(e3,e3)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f507,f124]) ).
fof(f1231,plain,
( op(e1,e1) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f507,f88]) ).
fof(f1232,plain,
( op(e0,e1) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f507,f86]) ).
fof(f1233,plain,
( ~ spl0_4
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1232,f350,f506]) ).
fof(f1234,plain,
( op(e2,e1) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f507,f89]) ).
fof(f1235,plain,
( ~ spl0_36
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1234,f454,f506]) ).
fof(f1238,plain,
( ~ spl0_6
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f972,f356,f512]) ).
fof(f1239,plain,
( ~ spl0_38
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f994,f460,f512]) ).
fof(f1240,plain,
( ~ spl0_6
| ~ spl0_20
| spl0_85 ),
inference(split_clause,[status(thm)],[f1103,f356,f402,f674]) ).
fof(f1241,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1101,f389,f402]) ).
fof(f1242,plain,
( ~ spl0_13
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1162,f379,f535]) ).
fof(f1243,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f936,f356,f369]) ).
fof(f1244,plain,
( ~ spl0_58
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f937,f525,f369]) ).
fof(f1245,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1064,f392,f444]) ).
fof(f1246,plain,
( ~ spl0_55
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1037,f515,f463]) ).
fof(f1247,plain,
( ~ spl0_22
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f973,f408,f512]) ).
fof(f1248,plain,
( ~ spl0_25
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1046,f418,f366]) ).
fof(f1249,plain,
( ~ spl0_51
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f901,f502,f541]) ).
fof(f1251,plain,
( ~ spl0_20
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1014,f402,f428]) ).
fof(f1253,plain,
( ~ spl0_38
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f894,f460,f473]) ).
fof(f1254,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f906,f450,f489]) ).
fof(f1255,plain,
( ~ spl0_31
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1091,f437,f398]) ).
fof(f1256,plain,
( ~ spl0_20
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1231,f402,f506]) ).
fof(f1258,plain,
( ~ spl0_32
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1011,f441,f480]) ).
fof(f1259,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_88 ),
inference(split_clause,[status(thm)],[f1114,f395,f340,f685]) ).
fof(f1260,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f991,f340,f379]) ).
fof(f1261,plain,
( ~ spl0_49
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1119,f496,f340]) ).
fof(f1263,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f908,f385,f489]) ).
fof(f1264,plain,
( ~ spl0_59
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f899,f528,f541]) ).
fof(f1265,plain,
( ~ spl0_45
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1164,f483,f535]) ).
fof(f1266,plain,
( ~ spl0_35
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1039,f450,f463]) ).
fof(f1267,plain,
( ~ spl0_3
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1044,f346,f450]) ).
fof(f1268,plain,
( ~ spl0_45
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1084,f483,f444]) ).
fof(f1269,plain,
( ~ spl0_39
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f905,f463,f489]) ).
fof(f1272,plain,
( e1 != op(e1,e2)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f406,f111]) ).
fof(f1273,plain,
( ~ spl0_25
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1272,f418,f405]) ).
fof(f1276,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1069,f363,f415]) ).
fof(f1277,plain,
( ~ spl0_43
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1036,f476,f463]) ).
fof(f1278,plain,
( ~ spl0_7
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1038,f359,f463]) ).
fof(f1279,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f935,f382,f369]) ).
fof(f1280,plain,
( ~ spl0_8
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f888,f363,f337]) ).
fof(f1281,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f975,f447,f499]) ).
fof(f1283,plain,
( ~ spl0_51
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1042,f502,f450]) ).
fof(f1284,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f890,f392,f405]) ).
fof(f1286,plain,
( ~ spl0_41
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1066,f470,f444]) ).
fof(f1287,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f934,f343,f369]) ).
fof(f1288,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1050,f340,f366]) ).
fof(f1290,plain,
( ~ spl0_21
| ~ spl0_1
| spl0_89 ),
inference(split_clause,[status(thm)],[f1122,f405,f340,f688]) ).
fof(f1291,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1205,f350,f376]) ).
fof(f1292,plain,
( e0 != op(e2,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f377,f97]) ).
fof(f1293,plain,
( ~ spl0_60
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1230,f532,f506]) ).
fof(f1294,plain,
( ~ spl0_45
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f986,f483,f457]) ).
fof(f1295,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1208,f363,f376]) ).
fof(f1296,plain,
( ~ spl0_17
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1112,f392,f340]) ).
fof(f1297,plain,
( ~ spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1113,f353,f340]) ).
fof(f1298,plain,
( ~ spl0_36
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1106,f454,f402]) ).
fof(f1301,plain,
( e1 != op(e3,e3)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f523,f125]) ).
fof(f1302,plain,
( op(e2,e2) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f523,f95]) ).
fof(f1303,plain,
( op(e3,e0) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f523,f121]) ).
fof(f1304,plain,
( op(e0,e2) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f523,f92]) ).
fof(f1311,plain,
( e2 != op(e3,e3)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f513,f124]) ).
fof(f1312,plain,
( ~ spl0_62
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1311,f538,f512]) ).
fof(f1313,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f942,f346,f385]) ).
fof(f1315,plain,
( ~ spl0_51
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1158,f502,f346]) ).
fof(f1316,plain,
( ~ spl0_19
| ~ spl0_1
| spl0_92 ),
inference(split_clause,[status(thm)],[f1124,f398,f340,f703]) ).
fof(f1317,plain,
( ~ spl0_22
| ~ spl0_1
| spl0_83 ),
inference(split_clause,[status(thm)],[f1126,f408,f340,f664]) ).
fof(f1318,plain,
( ~ spl0_58
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f941,f525,f421]) ).
fof(f1321,plain,
( e3 != op(e3,e1)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f412,f88]) ).
fof(f1322,plain,
( ~ spl0_55
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1321,f515,f411]) ).
fof(f1324,plain,
( op(e1,e0) != e3
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f412,f108]) ).
fof(f1325,plain,
( op(e0,e1) != e3
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f412,f84]) ).
fof(f1326,plain,
( e3 != op(e2,e1)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f412,f87]) ).
fof(f1328,plain,
( e3 != op(e1,e2)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f412,f111]) ).
fof(f1329,plain,
( ~ spl0_27
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1328,f424,f411]) ).
fof(f1330,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1088,f385,f359]) ).
fof(f1331,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1202,f337,f376]) ).
fof(f1332,plain,
( ~ spl0_44
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1292,f480,f376]) ).
fof(f1335,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f933,f353,f509]) ).
fof(f1336,plain,
( ~ spl0_49
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f963,f496,f509]) ).
fof(f1338,plain,
( ~ spl0_23
| ~ spl0_1
| spl0_84 ),
inference(split_clause,[status(thm)],[f1116,f411,f340,f669]) ).
fof(f1339,plain,
( ~ spl0_34
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f895,f447,f473]) ).
fof(f1341,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1325,f359,f411]) ).
fof(f1342,plain,
( ~ spl0_43
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1041,f476,f450]) ).
fof(f1343,plain,
( ~ spl0_19
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1043,f398,f450]) ).
fof(f1344,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1302,f470,f522]) ).
fof(f1345,plain,
( ~ spl0_49
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1303,f496,f522]) ).
fof(f1346,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f939,f408,f421]) ).
fof(f1347,plain,
( ~ spl0_19
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1324,f398,f411]) ).
fof(f1348,plain,
( e0 != op(e3,e1)
| ~ spl0_23
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f412,f630]) ).
fof(f1362,plain,
( op(e0,e0) != e2
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f357,f102]) ).
fof(f1366,plain,
( e1 != op(e2,e3)
| ~ spl0_62
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f539,f656]) ).
fof(f1369,plain,
( op(e2,e3) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f539,f101]) ).
fof(f1370,plain,
( op(e1,e3) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f539,f100]) ).
fof(f1376,plain,
( e1 != op(e2,e3)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f432,f99]) ).
fof(f1387,plain,
( op(e2,e2) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f490,f119]) ).
fof(f1402,plain,
( op(e2,e1) != e0
| ~ spl0_33
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f445,f744]) ).
fof(f1403,plain,
( e0 != e0
| ~ spl0_36
| ~ spl0_33
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f455,f1402]) ).
fof(f1404,plain,
( $false
| ~ spl0_36
| ~ spl0_33
| spl0_97 ),
inference(trivial_equality_resolution,[status(esa)],[f1403]) ).
fof(f1405,plain,
( ~ spl0_36
| ~ spl0_33
| spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1404]) ).
fof(f1407,plain,
( op(e0,e2) != e1
| ~ spl0_6
| spl0_114 ),
inference(forward_demodulation,[status(thm)],[f357,f844]) ).
fof(f1408,plain,
( e0 != op(e2,e3)
| ~ spl0_62
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f539,f623]) ).
fof(f1409,plain,
( ~ spl0_44
| ~ spl0_62
| spl0_71 ),
inference(split_clause,[status(thm)],[f1408,f480,f538,f621]) ).
fof(f1410,plain,
( e2 = e0
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f357,f351]) ).
fof(f1411,plain,
( $false
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1410,f127]) ).
fof(f1412,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1411]) ).
fof(f1414,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f494,f122]) ).
fof(f1415,plain,
( ~ spl0_60
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1414,f532,f493]) ).
fof(f1417,plain,
( op(e0,e1) != e0
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f455,f85]) ).
fof(f1418,plain,
( ~ spl0_49
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1165,f496,f535]) ).
fof(f1419,plain,
( ~ spl0_28
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f909,f428,f389]) ).
fof(f1420,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1093,f346,f398]) ).
fof(f1426,plain,
( op(e1,e2) != e2
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f474,f93]) ).
fof(f1427,plain,
( ~ spl0_26
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f1426,f421,f473]) ).
fof(f1429,plain,
( e2 != op(e2,e3)
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f474,f119]) ).
fof(f1430,plain,
( ~ spl0_46
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f1429,f486,f473]) ).
fof(f1432,plain,
( ~ spl0_40
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1070,f467,f415]) ).
fof(f1442,plain,
( ~ spl0_45
| ~ spl0_62
| spl0_80 ),
inference(split_clause,[status(thm)],[f1366,f483,f538,f654]) ).
fof(f1444,plain,
( ~ spl0_52
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f918,f506,f493]) ).
fof(f1447,plain,
( ~ spl0_43
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1387,f476,f489]) ).
fof(f1448,plain,
( ~ spl0_4
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1417,f350,f454]) ).
fof(f1451,plain,
( ~ spl0_9
| ~ spl0_6
| spl0_114 ),
inference(split_clause,[status(thm)],[f1407,f366,f356,f842]) ).
fof(f1455,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f944,f437,f385]) ).
fof(f1456,plain,
( ~ spl0_61
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1301,f535,f522]) ).
fof(f1457,plain,
( ~ spl0_36
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1009,f454,f480]) ).
fof(f1458,plain,
( ~ spl0_18
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f977,f395,f499]) ).
fof(f1459,plain,
( ~ spl0_29
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1163,f431,f535]) ).
fof(f1463,plain,
( ~ spl0_24
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1024,f415,f519]) ).
fof(f1467,plain,
( op(e3,e0) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f516,f120]) ).
fof(f1468,plain,
( e3 != op(e3,e2)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f516,f123]) ).
fof(f1469,plain,
( ~ spl0_59
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1468,f528,f515]) ).
fof(f1471,plain,
( ~ spl0_45
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1376,f483,f431]) ).
fof(f1473,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1086,f372,f359]) ).
fof(f1474,plain,
( ~ spl0_46
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1369,f486,f538]) ).
fof(f1475,plain,
( ~ spl0_30
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1370,f434,f538]) ).
fof(f1476,plain,
( op(e3,e2) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f539,f125]) ).
fof(f1477,plain,
( ~ spl0_58
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1476,f525,f538]) ).
fof(f1478,plain,
( ~ spl0_52
| ~ spl0_23
| spl0_73 ),
inference(split_clause,[status(thm)],[f1348,f506,f411,f628]) ).
fof(f1481,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f945,f411,f437]) ).
fof(f1500,plain,
( op(e1,e1) != e3
| ~ spl0_29
| spl0_108 ),
inference(backward_demodulation,[status(thm)],[f432,f804]) ).
fof(f1504,plain,
( op(e3,e0) != e0
| ~ spl0_48
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f494,f600]) ).
fof(f1505,plain,
( e0 != e0
| ~ spl0_48
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f494,f1504]) ).
fof(f1506,plain,
( $false
| ~ spl0_48
| spl0_65 ),
inference(trivial_equality_resolution,[status(esa)],[f1505]) ).
fof(f1507,plain,
( ~ spl0_48
| spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1511,plain,
( op(e0,e0) = e3
| ~ spl0_12
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f377,f851]) ).
fof(f1527,plain,
( op(e3,e1) != e1
| ~ spl0_53
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f510,f604]) ).
fof(f1528,plain,
( e1 != e1
| ~ spl0_53
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f510,f1527]) ).
fof(f1529,plain,
( $false
| ~ spl0_53
| spl0_66 ),
inference(trivial_equality_resolution,[status(esa)],[f1528]) ).
fof(f1530,plain,
( ~ spl0_53
| spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1529]) ).
fof(f1559,plain,
( op(e1,e0) != e0
| ~ spl0_16
| spl0_105 ),
inference(backward_demodulation,[status(thm)],[f390,f792]) ).
fof(f1560,plain,
( ~ spl0_16
| spl0_105 ),
inference(split_clause,[status(thm)],[f1559,f389,f790]) ).
fof(f1563,plain,
( ~ spl0_40
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1032,f467,f480]) ).
fof(f1566,plain,
( e0 != op(e3,e3)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f481,f101]) ).
fof(f1583,plain,
( op(e0,e1) != e1
| ~ spl0_5
| spl0_114 ),
inference(forward_demodulation,[status(thm)],[f354,f844]) ).
fof(f1584,plain,
( e1 != e1
| ~ spl0_5
| spl0_114 ),
inference(forward_demodulation,[status(thm)],[f354,f1583]) ).
fof(f1585,plain,
( $false
| ~ spl0_5
| spl0_114 ),
inference(trivial_equality_resolution,[status(esa)],[f1584]) ).
fof(f1586,plain,
( ~ spl0_5
| spl0_114 ),
inference(contradiction_clause,[status(thm)],[f1585]) ).
fof(f1590,plain,
( op(e1,e0) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f432,f110]) ).
fof(f1608,plain,
( op(e1,e2) != e1
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f471,f93]) ).
fof(f1612,plain,
( e2 != op(e3,e3)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f500,f122]) ).
fof(f1613,plain,
( ~ spl0_62
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1612,f538,f499]) ).
fof(f1614,plain,
( e2 != op(e3,e1)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f500,f120]) ).
fof(f1617,plain,
( ~ spl0_54
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f971,f512,f525]) ).
fof(f1629,plain,
( ~ spl0_3
| ~ spl0_20
| spl0_76 ),
inference(split_clause,[status(thm)],[f1105,f346,f402,f639]) ).
fof(f1630,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1160,f359,f346]) ).
fof(f1631,plain,
( ~ spl0_47
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f902,f489,f541]) ).
fof(f1641,plain,
( ~ spl0_54
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1614,f512,f499]) ).
fof(f1643,plain,
( ~ spl0_25
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1608,f418,f470]) ).
fof(f1645,plain,
( op(e2,e1) != e1
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f471,f117]) ).
fof(f1646,plain,
( ~ spl0_37
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1645,f457,f470]) ).
fof(f1649,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1362,f343,f356]) ).
fof(f1659,plain,
( e3 != op(e0,e2)
| ~ spl0_40
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f468,f701]) ).
fof(f1680,plain,
( e2 != op(e0,op(e1,e1))
| ~ spl0_20
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f403,f633]) ).
fof(f1681,plain,
( e2 != op(e0,e0)
| ~ spl0_20
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f403,f1680]) ).
fof(f1683,plain,
( op(e0,e2) != e2
| ~ spl0_10
| spl0_115 ),
inference(backward_demodulation,[status(thm)],[f370,f848]) ).
fof(f1684,plain,
( ~ spl0_10
| spl0_115 ),
inference(split_clause,[status(thm)],[f1683,f369,f846]) ).
fof(f1712,plain,
( op(e2,e1) != e1
| ~ spl0_37
| spl0_98 ),
inference(forward_demodulation,[status(thm)],[f458,f748]) ).
fof(f1713,plain,
( e1 != e1
| ~ spl0_37
| spl0_98 ),
inference(forward_demodulation,[status(thm)],[f458,f1712]) ).
fof(f1714,plain,
( $false
| ~ spl0_37
| spl0_98 ),
inference(trivial_equality_resolution,[status(esa)],[f1713]) ).
fof(f1715,plain,
( ~ spl0_37
| spl0_98 ),
inference(contradiction_clause,[status(thm)],[f1714]) ).
fof(f1716,plain,
( ~ spl0_11
| ~ spl0_40
| spl0_91 ),
inference(split_clause,[status(thm)],[f1659,f372,f467,f699]) ).
fof(f1723,plain,
( ~ spl0_18
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f952,f395,f421]) ).
fof(f1724,plain,
( e3 = e0
| ~ spl0_43
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f477,f468]) ).
fof(f1725,plain,
( $false
| ~ spl0_43
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f128]) ).
fof(f1726,plain,
( ~ spl0_43
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1731,plain,
( ~ spl0_60
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1566,f532,f480]) ).
fof(f1736,plain,
( e3 != op(e3,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f373,f92]) ).
fof(f1737,plain,
( e3 != op(e1,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f373,f90]) ).
fof(f1738,plain,
( ~ spl0_27
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1737,f424,f372]) ).
fof(f1740,plain,
( e3 != op(e0,e3)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f373,f107]) ).
fof(f1741,plain,
( ~ spl0_15
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1740,f385,f372]) ).
fof(f1748,plain,
( ~ spl0_39
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1326,f463,f411]) ).
fof(f1752,plain,
( op(e1,e0) != e1
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f419,f109]) ).
fof(f1753,plain,
( e1 != op(e3,e2)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f419,f94]) ).
fof(f1755,plain,
( ~ spl0_58
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f999,f525,f499]) ).
fof(f1757,plain,
( ~ spl0_59
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1736,f528,f372]) ).
fof(f1762,plain,
( ~ spl0_9
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1304,f366,f522]) ).
fof(f1763,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1590,f392,f431]) ).
fof(f1771,plain,
( e1 != op(e1,e3)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f419,f113]) ).
fof(f1778,plain,
( e3 != op(e3,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f425,f94]) ).
fof(f1779,plain,
( ~ spl0_59
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1778,f528,f424]) ).
fof(f1814,plain,
( op(e1,e2) != e2
| ~ spl0_26
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f422,f800]) ).
fof(f1815,plain,
( e2 != e2
| ~ spl0_26
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f422,f1814]) ).
fof(f1816,plain,
( $false
| ~ spl0_26
| spl0_107 ),
inference(trivial_equality_resolution,[status(esa)],[f1815]) ).
fof(f1817,plain,
( ~ spl0_26
| spl0_107 ),
inference(contradiction_clause,[status(thm)],[f1816]) ).
fof(f1818,plain,
( e0 != op(e3,e3)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f429,f100]) ).
fof(f1819,plain,
( ~ spl0_60
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1818,f532,f428]) ).
fof(f1820,plain,
( e3 != op(e2,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f425,f93]) ).
fof(f1821,plain,
( ~ spl0_43
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1820,f476,f424]) ).
fof(f1827,plain,
( e3 != op(e1,e3)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f425,f113]) ).
fof(f1828,plain,
( ~ spl0_31
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1827,f437,f424]) ).
fof(f1829,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f429,f438]) ).
fof(f1830,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1829,f128]) ).
fof(f1831,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1833,plain,
( op(e0,e1) != e3
| ~ spl0_13
| spl0_116 ),
inference(backward_demodulation,[status(thm)],[f380,f852]) ).
fof(f1856,plain,
( e2 != op(e2,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f357,f85]) ).
fof(f1861,plain,
( op(e2,e0) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f487,f116]) ).
fof(f1865,plain,
( op(e2,e1) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f487,f118]) ).
fof(f1881,plain,
( op(e0,e3) != e2
| ~ spl0_11
| spl0_115 ),
inference(forward_demodulation,[status(thm)],[f373,f848]) ).
fof(f1900,plain,
( op(e3,e2) != e0
| ~ spl0_50
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f500,f600]) ).
fof(f1926,plain,
( op(e3,e3) != e3
| ~ spl0_63
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f542,f612]) ).
fof(f1927,plain,
( ~ spl0_63
| spl0_68 ),
inference(split_clause,[status(thm)],[f1926,f541,f610]) ).
fof(f1976,plain,
( op(e3,e1) != e3
| ~ spl0_61
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f536,f612]) ).
fof(f1978,plain,
( e2 != op(e1,e3)
| ~ spl0_61
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f536,f683]) ).
fof(f1979,plain,
( ~ spl0_30
| ~ spl0_61
| spl0_87 ),
inference(split_clause,[status(thm)],[f1978,f434,f535,f681]) ).
fof(f1985,plain,
( e0 != op(e1,op(e3,e3))
| ~ spl0_61
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f536,f659]) ).
fof(f1986,plain,
( e0 != op(e1,e1)
| ~ spl0_61
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f536,f1985]) ).
fof(f2009,plain,
( e2 != op(e3,e0)
| ~ spl0_12
| ~ spl0_116
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f1511,f687]) ).
fof(f2010,plain,
( e2 != e2
| ~ spl0_50
| ~ spl0_12
| ~ spl0_116
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f500,f2009]) ).
fof(f2011,plain,
( $false
| ~ spl0_50
| ~ spl0_12
| ~ spl0_116
| spl0_88 ),
inference(trivial_equality_resolution,[status(esa)],[f2010]) ).
fof(f2012,plain,
( ~ spl0_50
| ~ spl0_12
| ~ spl0_116
| spl0_88 ),
inference(contradiction_clause,[status(thm)],[f2011]) ).
fof(f2013,plain,
( e1 != op(e3,op(e0,e0))
| ~ spl0_12
| ~ spl0_116
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f1511,f690]) ).
fof(f2014,plain,
( e1 != op(e3,e3)
| ~ spl0_12
| ~ spl0_116
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f1511,f2013]) ).
fof(f2015,plain,
( e1 != e1
| ~ spl0_61
| ~ spl0_12
| ~ spl0_116
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f536,f2014]) ).
fof(f2016,plain,
( $false
| ~ spl0_61
| ~ spl0_12
| ~ spl0_116
| spl0_89 ),
inference(trivial_equality_resolution,[status(esa)],[f2015]) ).
fof(f2017,plain,
( ~ spl0_61
| ~ spl0_12
| ~ spl0_116
| spl0_89 ),
inference(contradiction_clause,[status(thm)],[f2016]) ).
fof(f2025,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1752,f392,f418]) ).
fof(f2026,plain,
( e3 = e1
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f529,f523]) ).
fof(f2027,plain,
( $false
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f2026,f130]) ).
fof(f2028,plain,
( ~ spl0_59
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2029,plain,
( ~ spl0_51
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1092,f502,f398]) ).
fof(f2033,plain,
( ~ spl0_20
| ~ spl0_61
| spl0_81 ),
inference(split_clause,[status(thm)],[f1986,f402,f535,f657]) ).
fof(f2034,plain,
( ~ spl0_51
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1467,f502,f515]) ).
fof(f2042,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1865,f460,f486]) ).
fof(f2044,plain,
( op(e3,e1) != e2
| ~ spl0_57
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f523,f608]) ).
fof(f2073,plain,
( e2 != op(e2,e0)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f396,f81]) ).
fof(f2074,plain,
( ~ spl0_34
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2073,f447,f395]) ).
fof(f2076,plain,
( e2 != op(e1,e1)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f396,f108]) ).
fof(f2077,plain,
( ~ spl0_22
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2076,f408,f395]) ).
fof(f2078,plain,
( e2 != op(e1,e3)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f396,f110]) ).
fof(f2079,plain,
( ~ spl0_30
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2078,f434,f395]) ).
fof(f2088,plain,
( ~ spl0_38
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1856,f460,f356]) ).
fof(f2113,plain,
( op(e0,e1) != e2
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f409,f84]) ).
fof(f2114,plain,
( e2 != op(e1,e3)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f409,f112]) ).
fof(f2121,plain,
( op(e1,e1) != e0
| ~ spl0_17
| spl0_105 ),
inference(forward_demodulation,[status(thm)],[f393,f792]) ).
fof(f2132,plain,
( e0 != op(op(e3,e3),e2)
| ~ spl0_62
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f539,f659]) ).
fof(f2133,plain,
( e0 != op(e2,e2)
| ~ spl0_62
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f539,f2132]) ).
fof(f2152,plain,
( op(e2,e1) != e3
| ~ spl0_45
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f484,f756]) ).
fof(f2153,plain,
( e3 != e3
| ~ spl0_39
| ~ spl0_45
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f464,f2152]) ).
fof(f2154,plain,
( $false
| ~ spl0_39
| ~ spl0_45
| spl0_100 ),
inference(trivial_equality_resolution,[status(esa)],[f2153]) ).
fof(f2155,plain,
( ~ spl0_39
| ~ spl0_45
| spl0_100 ),
inference(contradiction_clause,[status(thm)],[f2154]) ).
fof(f2162,plain,
( e0 != op(e2,e1)
| ~ spl0_22
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f409,f630]) ).
fof(f2171,plain,
( e3 != op(e2,e1)
| ~ spl0_22
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f409,f697]) ).
fof(f2172,plain,
( e3 != e3
| ~ spl0_39
| ~ spl0_22
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f464,f2171]) ).
fof(f2173,plain,
( $false
| ~ spl0_39
| ~ spl0_22
| spl0_90 ),
inference(trivial_equality_resolution,[status(esa)],[f2172]) ).
fof(f2174,plain,
( ~ spl0_39
| ~ spl0_22
| spl0_90 ),
inference(contradiction_clause,[status(thm)],[f2173]) ).
fof(f2175,plain,
( e0 != op(e2,op(e1,e1))
| ~ spl0_22
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f409,f679]) ).
fof(f2176,plain,
( e0 != op(e2,e2)
| ~ spl0_22
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f409,f2175]) ).
fof(f2190,plain,
( e1 != op(op(e2,e2),e0)
| ~ spl0_40
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f468,f619]) ).
fof(f2191,plain,
( e1 != op(e0,e0)
| ~ spl0_40
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f468,f2190]) ).
fof(f2217,plain,
( e0 != e0
| ~ spl0_40
| ~ spl0_62
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f468,f2133]) ).
fof(f2218,plain,
( $false
| ~ spl0_40
| ~ spl0_62
| spl0_81 ),
inference(trivial_equality_resolution,[status(esa)],[f2217]) ).
fof(f2219,plain,
( ~ spl0_40
| ~ spl0_62
| spl0_81 ),
inference(contradiction_clause,[status(thm)],[f2218]) ).
fof(f2223,plain,
( e3 != op(e2,op(e1,e1))
| ~ spl0_22
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f409,f641]) ).
fof(f2224,plain,
( e3 != op(e2,e2)
| ~ spl0_22
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f409,f2223]) ).
fof(f2225,plain,
( ~ spl0_6
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2113,f356,f408]) ).
fof(f2235,plain,
( ~ spl0_30
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2114,f434,f408]) ).
fof(f2240,plain,
( e2 = e3
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f409,f412]) ).
fof(f2241,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2240,f131]) ).
fof(f2242,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f2241]) ).
fof(f2245,plain,
( op(e3,e3) != e0
| ~ spl0_51
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f503,f600]) ).
fof(f2246,plain,
( ~ spl0_60
| ~ spl0_51
| spl0_65 ),
inference(split_clause,[status(thm)],[f2245,f532,f502,f598]) ).
fof(f2258,plain,
( ~ spl0_54
| ~ spl0_57
| spl0_67 ),
inference(split_clause,[status(thm)],[f2044,f512,f522,f606]) ).
fof(f2265,plain,
( op(e0,e0) != e0
| ~ spl0_0
| spl0_113 ),
inference(forward_demodulation,[status(thm)],[f338,f840]) ).
fof(f2266,plain,
( e0 != e0
| ~ spl0_0
| spl0_113 ),
inference(forward_demodulation,[status(thm)],[f338,f2265]) ).
fof(f2267,plain,
( $false
| ~ spl0_0
| spl0_113 ),
inference(trivial_equality_resolution,[status(esa)],[f2266]) ).
fof(f2268,plain,
( ~ spl0_0
| spl0_113 ),
inference(contradiction_clause,[status(thm)],[f2267]) ).
fof(f2269,plain,
( ~ spl0_14
| ~ spl0_11
| spl0_115 ),
inference(split_clause,[status(thm)],[f1881,f382,f372,f846]) ).
fof(f2271,plain,
( e3 != op(e2,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f373,f91]) ).
fof(f2278,plain,
( ~ spl0_56
| ~ spl0_50
| spl0_65 ),
inference(split_clause,[status(thm)],[f1900,f519,f499,f598]) ).
fof(f2279,plain,
( ~ spl0_55
| ~ spl0_61
| spl0_68 ),
inference(split_clause,[status(thm)],[f1976,f515,f535,f610]) ).
fof(f2284,plain,
( op(e2,e2) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f484,f119]) ).
fof(f2286,plain,
( op(e0,e0) != e3
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f373,f103]) ).
fof(f2315,plain,
( e2 != op(e2,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f383,f97]) ).
fof(f2382,plain,
( op(e2,e2) != e2
| ~ spl0_42
| spl0_99 ),
inference(forward_demodulation,[status(thm)],[f474,f752]) ).
fof(f2383,plain,
( e2 != e2
| ~ spl0_42
| spl0_99 ),
inference(forward_demodulation,[status(thm)],[f474,f2382]) ).
fof(f2384,plain,
( $false
| ~ spl0_42
| spl0_99 ),
inference(trivial_equality_resolution,[status(esa)],[f2383]) ).
fof(f2385,plain,
( ~ spl0_42
| spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2384]) ).
fof(f2393,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_116 ),
inference(split_clause,[status(thm)],[f1833,f359,f379,f850]) ).
fof(f2415,plain,
( op(e2,e2) != e1
| ~ spl0_38
| spl0_98 ),
inference(forward_demodulation,[status(thm)],[f461,f748]) ).
fof(f2430,plain,
( op(e2,e3) != e3
| ~ spl0_47
| spl0_100 ),
inference(backward_demodulation,[status(thm)],[f490,f756]) ).
fof(f2431,plain,
( ~ spl0_47
| spl0_100 ),
inference(split_clause,[status(thm)],[f2430,f489,f754]) ).
fof(f2438,plain,
( ~ spl0_57
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1753,f522,f418]) ).
fof(f2443,plain,
( ~ spl0_29
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1771,f431,f418]) ).
fof(f2448,plain,
( op(e1,e3) != e2
| ~ spl0_27
| spl0_107 ),
inference(backward_demodulation,[status(thm)],[f425,f800]) ).
fof(f2468,plain,
( e2 != op(e2,e1)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f448,f114]) ).
fof(f2469,plain,
( ~ spl0_38
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2468,f460,f447]) ).
fof(f2472,plain,
( ~ spl0_41
| ~ spl0_38
| spl0_98 ),
inference(split_clause,[status(thm)],[f2415,f470,f460,f746]) ).
fof(f2476,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2271,f476,f372]) ).
fof(f2484,plain,
( op(e1,e0) != e1
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f497,f82]) ).
fof(f2485,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f2484,f392,f496]) ).
fof(f2490,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2286,f346,f372]) ).
fof(f2498,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2284,f470,f483]) ).
fof(f2500,plain,
( ~ spl0_36
| ~ spl0_22
| spl0_73 ),
inference(split_clause,[status(thm)],[f2162,f454,f408,f628]) ).
fof(f2510,plain,
( ~ spl0_34
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1861,f447,f486]) ).
fof(f2511,plain,
( ~ spl0_46
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2315,f486,f382]) ).
fof(f2512,plain,
( ~ spl0_2
| ~ spl0_20
| spl0_74 ),
inference(split_clause,[status(thm)],[f1681,f343,f402,f631]) ).
fof(f2567,plain,
( e0 != op(e3,e2)
| ~ spl0_43
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f477,f616]) ).
fof(f2568,plain,
( ~ spl0_56
| ~ spl0_43
| spl0_69 ),
inference(split_clause,[status(thm)],[f2567,f519,f476,f614]) ).
fof(f2572,plain,
( e1 != op(e3,op(e2,e2))
| ~ spl0_43
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f477,f619]) ).
fof(f2587,plain,
( op(e2,e0) != e0
| ~ spl0_32
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f442,f744]) ).
fof(f2588,plain,
( e0 != e0
| ~ spl0_32
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f442,f2587]) ).
fof(f2589,plain,
( $false
| ~ spl0_32
| spl0_97 ),
inference(trivial_equality_resolution,[status(esa)],[f2588]) ).
fof(f2590,plain,
( ~ spl0_32
| spl0_97 ),
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2591,plain,
( op(e1,e2) != e1
| ~ spl0_22
| spl0_106 ),
inference(backward_demodulation,[status(thm)],[f409,f796]) ).
fof(f2594,plain,
( ~ spl0_43
| ~ spl0_22
| spl0_76 ),
inference(split_clause,[status(thm)],[f2224,f476,f408,f639]) ).
fof(f2614,plain,
( op(e1,e3) != e0
| ~ spl0_19
| spl0_105 ),
inference(forward_demodulation,[status(thm)],[f399,f792]) ).
fof(f2623,plain,
( e0 != op(e3,op(e2,e2))
| ~ spl0_43
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f477,f652]) ).
fof(f2624,plain,
( e0 != op(e3,e3)
| ~ spl0_43
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f477,f2623]) ).
fof(f2653,plain,
( op(e0,e0) != e2
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f383,f104]) ).
fof(f2668,plain,
( $false
| ~ spl0_43
| spl0_79
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f2624]) ).
fof(f2669,plain,
( ~ spl0_43
| spl0_79
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f2668]) ).
fof(f2671,plain,
( ~ spl0_28
| ~ spl0_19
| spl0_105 ),
inference(split_clause,[status(thm)],[f2614,f428,f398,f790]) ).
fof(f2677,plain,
( ~ spl0_40
| ~ spl0_22
| spl0_86 ),
inference(split_clause,[status(thm)],[f2176,f467,f408,f677]) ).
fof(f2680,plain,
( ~ spl0_25
| ~ spl0_22
| spl0_106 ),
inference(split_clause,[status(thm)],[f2591,f418,f408,f794]) ).
fof(f2684,plain,
( ~ spl0_23
| ~ spl0_29
| spl0_108 ),
inference(split_clause,[status(thm)],[f1500,f411,f431,f802]) ).
fof(f2732,plain,
( e1 != op(e3,e2)
| ~ spl0_43
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f477,f649]) ).
fof(f2733,plain,
( ~ spl0_57
| ~ spl0_43
| spl0_78 ),
inference(split_clause,[status(thm)],[f2732,f522,f476,f647]) ).
fof(f2757,plain,
( e2 != op(op(e1,e1),e3)
| ~ spl0_23
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f412,f633]) ).
fof(f2795,plain,
( op(e3,e2) != e2
| ~ spl0_58
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f526,f608]) ).
fof(f2796,plain,
( e2 != e2
| ~ spl0_58
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f526,f2795]) ).
fof(f2797,plain,
( $false
| ~ spl0_58
| spl0_67 ),
inference(trivial_equality_resolution,[status(esa)],[f2796]) ).
fof(f2798,plain,
( ~ spl0_58
| spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2797]) ).
fof(f2804,plain,
( op(e1,e0) != e2
| ~ spl0_24
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f416,f800]) ).
fof(f2888,plain,
( $false
| ~ spl0_24
| spl0_107
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f2804]) ).
fof(f2889,plain,
( ~ spl0_24
| spl0_107
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2888]) ).
fof(f2890,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2653,f343,f382]) ).
fof(f2894,plain,
( e2 != op(e3,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f383,f98]) ).
fof(f2898,plain,
( e2 != op(e2,e0)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f344,f79]) ).
fof(f2899,plain,
( ~ spl0_34
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2898,f447,f343]) ).
fof(f3056,plain,
( op(e1,e1) != e1
| ~ spl0_21
| spl0_106 ),
inference(backward_demodulation,[status(thm)],[f406,f796]) ).
fof(f3057,plain,
( ~ spl0_21
| spl0_106 ),
inference(split_clause,[status(thm)],[f3056,f405,f794]) ).
fof(f3076,plain,
( ~ spl0_20
| ~ spl0_17
| spl0_105 ),
inference(split_clause,[status(thm)],[f2121,f402,f392,f790]) ).
fof(f3082,plain,
( ~ spl0_30
| ~ spl0_27
| spl0_107 ),
inference(split_clause,[status(thm)],[f2448,f434,f424,f798]) ).
fof(f3161,plain,
( op(e1,e3) != e3
| ~ spl0_31
| spl0_108 ),
inference(backward_demodulation,[status(thm)],[f438,f804]) ).
fof(f3162,plain,
( ~ spl0_31
| spl0_108 ),
inference(split_clause,[status(thm)],[f3161,f437,f802]) ).
fof(f3166,plain,
( ~ spl0_1
| ~ spl0_40
| spl0_70 ),
inference(split_clause,[status(thm)],[f2191,f340,f467,f617]) ).
fof(f3173,plain,
( op(e0,e1) != e2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f383,f106]) ).
fof(f3189,plain,
( e3 != op(e2,e0)
| ~ spl0_2
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f344,f705]) ).
fof(f3190,plain,
( ~ spl0_35
| ~ spl0_2
| spl0_92 ),
inference(split_clause,[status(thm)],[f3189,f450,f343,f703]) ).
fof(f3307,plain,
( op(e2,e2) = e1
| ~ spl0_38
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f461,f747]) ).
fof(f3327,plain,
( e1 != op(op(e3,e3),e2)
| ~ spl0_62
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f539,f626]) ).
fof(f3328,plain,
( e1 != op(e2,e2)
| ~ spl0_62
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f539,f3327]) ).
fof(f3329,plain,
( e1 != e1
| ~ spl0_38
| ~ spl0_98
| ~ spl0_62
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f3307,f3328]) ).
fof(f3330,plain,
( $false
| ~ spl0_38
| ~ spl0_98
| ~ spl0_62
| spl0_72 ),
inference(trivial_equality_resolution,[status(esa)],[f3329]) ).
fof(f3331,plain,
( ~ spl0_38
| ~ spl0_98
| ~ spl0_62
| spl0_72 ),
inference(contradiction_clause,[status(thm)],[f3330]) ).
fof(f3332,plain,
( e1 != op(e3,e3)
| ~ spl0_43
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f477,f2572]) ).
fof(f3333,plain,
( ~ spl0_61
| ~ spl0_43
| spl0_70 ),
inference(split_clause,[status(thm)],[f3332,f535,f476,f617]) ).
fof(f3448,plain,
( op(e0,e3) != e3
| ~ spl0_15
| spl0_116 ),
inference(backward_demodulation,[status(thm)],[f386,f852]) ).
fof(f3449,plain,
( ~ spl0_15
| spl0_116 ),
inference(split_clause,[status(thm)],[f3448,f385,f850]) ).
fof(f3451,plain,
( ~ spl0_62
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2894,f538,f382]) ).
fof(f3454,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f3173,f356,f382]) ).
fof(f3473,plain,
( e2 != op(e3,e3)
| ~ spl0_23
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f412,f2757]) ).
fof(f3474,plain,
( ~ spl0_62
| ~ spl0_23
| spl0_74 ),
inference(split_clause,[status(thm)],[f3473,f538,f411,f631]) ).
fof(f3475,plain,
$false,
inference(sat_refutation,[status(thm)],[f349,f362,f375,f388,f401,f414,f427,f440,f453,f466,f479,f492,f505,f518,f531,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f578,f579,f580,f581,f583,f584,f585,f586,f588,f589,f590,f591,f596,f605,f609,f613,f620,f627,f634,f638,f642,f653,f660,f672,f684,f691,f692,f693,f694,f698,f706,f707,f708,f709,f713,f714,f715,f716,f717,f718,f722,f723,f724,f725,f726,f727,f731,f732,f733,f734,f735,f736,f740,f741,f745,f749,f753,f757,f761,f763,f765,f766,f770,f771,f772,f773,f774,f775,f779,f780,f781,f782,f783,f784,f788,f789,f793,f797,f801,f805,f809,f810,f811,f812,f813,f814,f818,f820,f821,f822,f823,f827,f828,f829,f830,f831,f832,f836,f837,f841,f845,f849,f853,f857,f858,f859,f860,f861,f862,f866,f867,f868,f869,f870,f871,f872,f874,f875,f876,f877,f913,f921,f925,f948,f951,f955,f958,f961,f966,f970,f985,f990,f997,f1001,f1007,f1018,f1022,f1027,f1030,f1048,f1055,f1058,f1061,f1062,f1075,f1079,f1081,f1097,f1100,f1145,f1150,f1153,f1156,f1170,f1171,f1174,f1182,f1185,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1201,f1204,f1207,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1225,f1228,f1233,f1235,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1251,f1253,f1254,f1255,f1256,f1258,f1259,f1260,f1261,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1273,f1276,f1277,f1278,f1279,f1280,f1281,f1283,f1284,f1286,f1287,f1288,f1290,f1291,f1293,f1294,f1295,f1296,f1297,f1298,f1312,f1313,f1315,f1316,f1317,f1318,f1322,f1329,f1330,f1331,f1332,f1335,f1336,f1338,f1339,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1405,f1409,f1412,f1415,f1418,f1419,f1420,f1427,f1430,f1432,f1442,f1444,f1447,f1448,f1451,f1455,f1456,f1457,f1458,f1459,f1463,f1469,f1471,f1473,f1474,f1475,f1477,f1478,f1481,f1507,f1530,f1560,f1563,f1586,f1613,f1617,f1629,f1630,f1631,f1641,f1643,f1646,f1649,f1684,f1715,f1716,f1723,f1726,f1731,f1738,f1741,f1748,f1755,f1757,f1762,f1763,f1779,f1817,f1819,f1821,f1828,f1831,f1927,f1979,f2012,f2017,f2025,f2028,f2029,f2033,f2034,f2042,f2074,f2077,f2079,f2088,f2155,f2174,f2219,f2225,f2235,f2242,f2246,f2258,f2268,f2269,f2278,f2279,f2385,f2393,f2431,f2438,f2443,f2469,f2472,f2476,f2485,f2490,f2498,f2500,f2510,f2511,f2512,f2568,f2590,f2594,f2669,f2671,f2677,f2680,f2684,f2733,f2798,f2889,f2890,f2899,f3057,f3076,f3082,f3162,f3166,f3190,f3331,f3333,f3449,f3451,f3454,f3474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG145+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n015.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
% 0.11/0.33 % DateTime : Mon Apr 29 23:54:47 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.34 % Drodi V3.6.0
% 0.17/0.57 % Refutation found
% 0.17/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.71/0.60 % Elapsed time: 0.259190 seconds
% 1.71/0.60 % CPU time: 1.748512 seconds
% 1.71/0.60 % Total memory used: 33.140 MB
% 1.71/0.60 % Net memory used: 31.965 MB
%------------------------------------------------------------------------------