TSTP Solution File: ALG148+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG148+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:10:20 EDT 2024
% Result : Unsatisfiable 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 128
% Syntax : Number of formulae : 976 ( 54 unt; 0 def)
% Number of atoms : 5232 (3603 equ)
% Maximal formula atoms : 180 ( 5 avg)
% Number of connectives : 7969 (3713 ~;2904 |;1242 &)
% ( 95 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 112 ( 110 usr; 111 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e1) = e1
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e2) = e2
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e3) = e3
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) )
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(op(e3,e3),e3),e3)
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(op(e2,e2),e2),e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(op(e1,e1),e1),e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(op(e1,e1),e1),e1)
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(op(e2,e2),e2),e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(op(e0,e0),e0),e0)
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(op(e2,e2),e2),e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(op(e1,e1),e1),e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(op(e3,e3),e3),e3)
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(op(e1,e1),e1),e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(op(e1,e1),e1),e1)
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(op(e2,e2),e2),e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(op(e1,e1),e1),e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(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(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,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e1) = e1
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e2) = e2
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( ( pd0_0
| ( op(e3,e3) = e3
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) )
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( pd0_0
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
( pd0_0
| op(e0,e0) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
( pd0_0
| op(e1,e1) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
( pd0_0
| op(e2,e2) != e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f138,plain,
( pd0_0
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f139,plain,
( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f141,plain,
( op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f142,plain,
( op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f143,plain,
( op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f144,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f146,plain,
( op(e1,e1) != e2
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f147,plain,
( op(e1,e1) != e3
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f148,plain,
( op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f149,plain,
( op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f151,plain,
( op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f152,plain,
( op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f153,plain,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f154,plain,
( op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f156,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f157,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f159,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f162,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f163,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f166,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f167,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f170,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f171,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f174,plain,
( e1 != op(e0,e0)
| e2 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f175,plain,
( e1 != op(e0,e0)
| e2 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f177,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f182,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f183,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f184,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f185,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f188,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f189,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f194,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f195,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f196,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f197,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f200,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f201,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f204,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e1) = e1
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e2) = e2
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != 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,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e1) = e1
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
introduced(predicate_definition,[f204]) ).
fof(f206,plain,
( ~ pd0_0
| pd0_1
| ( op(e3,e2) = e2
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f204,f205]) ).
fof(f207,plain,
( ~ pd0_0
| pd0_1
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f208,plain,
( ~ pd0_0
| pd0_1
| op(e0,e0) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f209,plain,
( ~ pd0_0
| pd0_1
| op(e1,e1) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f210,plain,
( ~ pd0_0
| pd0_1
| op(e2,e2) != e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f211,plain,
( ~ pd0_0
| pd0_1
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f212,plain,
( ~ pd0_1
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) )
| ( op(e3,e1) = e1
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f205]) ).
fof(f213,plain,
( pd0_2
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ) ),
introduced(predicate_definition,[f212]) ).
fof(f214,plain,
( ~ pd0_1
| pd0_2
| ( op(e3,e1) = e1
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f212,f213]) ).
fof(f215,plain,
( ~ pd0_1
| pd0_2
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f216,plain,
( ~ pd0_1
| pd0_2
| op(e0,e0) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f217,plain,
( ~ pd0_1
| pd0_2
| op(e1,e1) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f218,plain,
( ~ pd0_1
| pd0_2
| op(e2,e2) != e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f219,plain,
( ~ pd0_1
| pd0_2
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f220,plain,
( ~ pd0_2
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f213]) ).
fof(f221,plain,
( pd0_3
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f220]) ).
fof(f222,plain,
( ~ pd0_2
| pd0_3
| ( op(e3,e0) = e0
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f220,f221]) ).
fof(f223,plain,
( ~ pd0_2
| pd0_3
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f224,plain,
( ~ pd0_2
| pd0_3
| op(e0,e0) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f225,plain,
( ~ pd0_2
| pd0_3
| op(e1,e1) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f227,plain,
( ~ pd0_2
| pd0_3
| op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f228,plain,
( ~ pd0_3
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f221]) ).
fof(f229,plain,
( pd0_4
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f228]) ).
fof(f230,plain,
( ~ pd0_3
| pd0_4
| ( op(e2,e3) = e3
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f228,f229]) ).
fof(f231,plain,
( ~ pd0_3
| pd0_4
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f232,plain,
( ~ pd0_3
| pd0_4
| op(e0,e0) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f233,plain,
( ~ pd0_3
| pd0_4
| op(e1,e1) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f234,plain,
( ~ pd0_3
| pd0_4
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f235,plain,
( ~ pd0_3
| pd0_4
| op(e3,e3) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f236,plain,
( ~ pd0_4
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f229]) ).
fof(f237,plain,
( pd0_5
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f236]) ).
fof(f238,plain,
( ~ pd0_4
| pd0_5
| ( op(e2,e2) = e2
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f236,f237]) ).
fof(f239,plain,
( ~ pd0_4
| pd0_5
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f240,plain,
( ~ pd0_4
| pd0_5
| op(e0,e0) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f241,plain,
( ~ pd0_4
| pd0_5
| op(e1,e1) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f242,plain,
( ~ pd0_4
| pd0_5
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f243,plain,
( ~ pd0_4
| pd0_5
| op(e3,e3) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f244,plain,
( ~ pd0_5
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) )
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f237]) ).
fof(f245,plain,
( pd0_6
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ) ),
introduced(predicate_definition,[f244]) ).
fof(f246,plain,
( ~ pd0_5
| pd0_6
| ( op(e2,e1) = e1
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f244,f245]) ).
fof(f247,plain,
( ~ pd0_5
| pd0_6
| op(e2,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f248,plain,
( ~ pd0_5
| pd0_6
| op(e0,e0) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f249,plain,
( ~ pd0_5
| pd0_6
| op(e1,e1) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f250,plain,
( ~ pd0_5
| pd0_6
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f251,plain,
( ~ pd0_5
| pd0_6
| op(e3,e3) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f252,plain,
( ~ pd0_6
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f245]) ).
fof(f253,plain,
( pd0_7
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f252]) ).
fof(f254,plain,
( ~ pd0_6
| pd0_7
| ( op(e2,e0) = e0
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f252,f253]) ).
fof(f255,plain,
( ~ pd0_6
| pd0_7
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f256,plain,
( ~ pd0_6
| pd0_7
| op(e0,e0) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f257,plain,
( ~ pd0_6
| pd0_7
| op(e1,e1) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f258,plain,
( ~ pd0_6
| pd0_7
| op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f259,plain,
( ~ pd0_6
| pd0_7
| op(e3,e3) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f260,plain,
( ~ pd0_7
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f253]) ).
fof(f261,plain,
( pd0_8
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f260]) ).
fof(f262,plain,
( ~ pd0_7
| pd0_8
| ( op(e1,e3) = e3
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f260,f261]) ).
fof(f263,plain,
( ~ pd0_7
| pd0_8
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f264,plain,
( ~ pd0_7
| pd0_8
| op(e0,e0) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f265,plain,
( ~ pd0_7
| pd0_8
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f266,plain,
( ~ pd0_7
| pd0_8
| op(e2,e2) != e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f267,plain,
( ~ pd0_7
| pd0_8
| op(e3,e3) != e1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f268,plain,
( ~ pd0_8
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f261]) ).
fof(f269,plain,
( pd0_9
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f268]) ).
fof(f270,plain,
( ~ pd0_8
| pd0_9
| ( op(e1,e2) = e2
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f268,f269]) ).
fof(f271,plain,
( ~ pd0_8
| pd0_9
| op(e1,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f272,plain,
( ~ pd0_8
| pd0_9
| op(e0,e0) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f273,plain,
( ~ pd0_8
| pd0_9
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f274,plain,
( ~ pd0_8
| pd0_9
| op(e2,e2) != e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f275,plain,
( ~ pd0_8
| pd0_9
| op(e3,e3) != e1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f276,plain,
( ~ pd0_9
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) )
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f269]) ).
fof(f277,plain,
( pd0_10
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ) ),
introduced(predicate_definition,[f276]) ).
fof(f278,plain,
( ~ pd0_9
| pd0_10
| ( op(e1,e1) = e1
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f276,f277]) ).
fof(f279,plain,
( ~ pd0_9
| pd0_10
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f280,plain,
( ~ pd0_9
| pd0_10
| op(e0,e0) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f281,plain,
( ~ pd0_9
| pd0_10
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f284,plain,
( ~ pd0_10
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f277]) ).
fof(f285,plain,
( pd0_11
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ) ),
introduced(predicate_definition,[f284]) ).
fof(f286,plain,
( ~ pd0_10
| pd0_11
| ( op(e1,e0) = e0
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f284,f285]) ).
fof(f287,plain,
( ~ pd0_10
| pd0_11
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f288,plain,
( ~ pd0_10
| pd0_11
| op(e0,e0) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f289,plain,
( ~ pd0_10
| pd0_11
| op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f290,plain,
( ~ pd0_10
| pd0_11
| op(e2,e2) != e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f292,plain,
( ~ pd0_11
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f285]) ).
fof(f293,plain,
( pd0_12
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ) ),
introduced(predicate_definition,[f292]) ).
fof(f294,plain,
( ~ pd0_11
| pd0_12
| ( op(e0,e3) = e3
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f292,f293]) ).
fof(f295,plain,
( ~ pd0_11
| pd0_12
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f294]) ).
fof(f296,plain,
( ~ pd0_11
| pd0_12
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f294]) ).
fof(f297,plain,
( ~ pd0_11
| pd0_12
| op(e1,e1) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f294]) ).
fof(f298,plain,
( ~ pd0_11
| pd0_12
| op(e2,e2) != e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f294]) ).
fof(f299,plain,
( ~ pd0_11
| pd0_12
| op(e3,e3) != e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f294]) ).
fof(f300,plain,
( ~ pd0_12
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f293]) ).
fof(f301,plain,
( pd0_13
=> ( ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ) ),
introduced(predicate_definition,[f300]) ).
fof(f302,plain,
( ~ pd0_12
| pd0_13
| ( op(e0,e2) = e2
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f300,f301]) ).
fof(f303,plain,
( ~ pd0_12
| pd0_13
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f304,plain,
( ~ pd0_12
| pd0_13
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f305,plain,
( ~ pd0_12
| pd0_13
| op(e1,e1) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f306,plain,
( ~ pd0_12
| pd0_13
| op(e2,e2) != e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f307,plain,
( ~ pd0_12
| pd0_13
| op(e3,e3) != e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f308,plain,
( ~ pd0_13
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) )
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f301]) ).
fof(f309,plain,
( pd0_14
=> ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
introduced(predicate_definition,[f308]) ).
fof(f310,plain,
( ~ pd0_13
| pd0_14
| ( op(e0,e1) = e1
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f308,f309]) ).
fof(f311,plain,
( ~ pd0_13
| pd0_14
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f312,plain,
( ~ pd0_13
| pd0_14
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f313,plain,
( ~ pd0_13
| pd0_14
| op(e1,e1) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f316,plain,
( ~ pd0_14
| ( op(e0,e0) = e0
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f309]) ).
fof(f317,plain,
( ~ pd0_14
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f318,plain,
( ~ pd0_14
| op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f319,plain,
( ~ pd0_14
| op(e1,e1) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f320,plain,
( ~ pd0_14
| op(e2,e2) != e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f321,plain,
( ~ pd0_14
| op(e3,e3) != e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f322,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f322,f325,f328,f331]) ).
fof(f335,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f335,f338,f341,f344]) ).
fof(f348,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f32,f348,f351,f354,f357]) ).
fof(f361,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f361,f364,f367,f370]) ).
fof(f374,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f374,f377,f380,f383]) ).
fof(f387,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f387,f390,f393,f396]) ).
fof(f400,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f400,f403,f406,f409]) ).
fof(f413,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f413,f416,f419,f422]) ).
fof(f426,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f426,f429,f432,f435]) ).
fof(f439,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f439,f442,f445,f448]) ).
fof(f452,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f452,f455,f458,f461]) ).
fof(f465,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f466,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f469,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f465,f468,f471,f474]) ).
fof(f478,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f478,f481,f484,f487]) ).
fof(f491,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f492,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f491,f494,f497,f500]) ).
fof(f504,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f508,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f511,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f514,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f504,f507,f510,f513]) ).
fof(f517,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f517,f520,f523,f526]) ).
fof(f530,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f322,f335,f348,f361]) ).
fof(f531,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f322,f374,f426,f478]) ).
fof(f532,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f325,f338,f351,f364]) ).
fof(f533,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f325,f377,f429,f481]) ).
fof(f534,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f328,f341,f354,f367]) ).
fof(f536,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f331,f344,f357,f370]) ).
fof(f537,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f331,f383,f435,f487]) ).
fof(f538,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f374,f387,f400,f413]) ).
fof(f539,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f335,f387,f439,f491]) ).
fof(f540,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f377,f390,f403,f416]) ).
fof(f541,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f338,f390,f442,f494]) ).
fof(f542,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f380,f393,f406,f419]) ).
fof(f543,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f341,f393,f445,f497]) ).
fof(f544,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f383,f396,f409,f422]) ).
fof(f545,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f344,f396,f448,f500]) ).
fof(f546,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f426,f439,f452,f465]) ).
fof(f547,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f348,f400,f452,f504]) ).
fof(f548,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f429,f442,f455,f468]) ).
fof(f549,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f351,f403,f455,f507]) ).
fof(f550,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f432,f445,f458,f471]) ).
fof(f551,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f354,f406,f458,f510]) ).
fof(f552,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f435,f448,f461,f474]) ).
fof(f553,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f357,f409,f461,f513]) ).
fof(f554,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f478,f491,f504,f517]) ).
fof(f556,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f481,f494,f507,f520]) ).
fof(f557,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f364,f416,f468,f520]) ).
fof(f558,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f484,f497,f510,f523]) ).
fof(f559,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f367,f419,f471,f523]) ).
fof(f560,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f487,f500,f513,f526]) ).
fof(f561,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f370,f422,f474,f526]) ).
fof(f562,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( spl0_64
| spl0_63 ),
inference(split_clause,[status(thm)],[f134,f562,f526]) ).
fof(f566,plain,
( spl0_64
| ~ spl0_3
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f135,f562,f331,f361]) ).
fof(f567,plain,
( spl0_64
| ~ spl0_23
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f136,f562,f396,f416]) ).
fof(f568,plain,
( spl0_64
| ~ spl0_43
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f137,f562,f461,f471]) ).
fof(f569,plain,
( spl0_64
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f138,f562,f526]) ).
fof(f570,plain,
( spl0_0
| spl0_21
| spl0_42
| spl0_63 ),
inference(split_clause,[status(thm)],[f139,f322,f390,f458,f526]) ).
fof(f572,plain,
( ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f141,f325,f335]) ).
fof(f573,plain,
( ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f142,f328,f348]) ).
fof(f574,plain,
( ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f143,f331,f361]) ).
fof(f575,plain,
( ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f144,f387,f377]) ).
fof(f577,plain,
( ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f146,f393,f403]) ).
fof(f578,plain,
( ~ spl0_23
| spl0_29 ),
inference(split_clause,[status(thm)],[f147,f396,f416]) ).
fof(f579,plain,
( ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f148,f452,f432]) ).
fof(f580,plain,
( ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f149,f455,f445]) ).
fof(f582,plain,
( ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f151,f461,f471]) ).
fof(f583,plain,
( ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f152,f517,f487]) ).
fof(f584,plain,
( ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f153,f520,f500]) ).
fof(f585,plain,
( ~ spl0_62
| spl0_59 ),
inference(split_clause,[status(thm)],[f154,f523,f513]) ).
fof(f587,plain,
( spl0_65
<=> e1 = op(op(op(e3,e3),e3),e3) ),
introduced(split_symbol_definition) ).
fof(f589,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| spl0_65 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( spl0_66
<=> e2 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f593,plain,
( ~ spl0_60
| ~ spl0_65
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f157,f517,f587,f590]) ).
fof(f594,plain,
( spl0_67
<=> e1 = op(op(op(e2,e2),e2),e2) ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| spl0_67 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( spl0_68
<=> e3 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f599,plain,
( e3 != op(op(e2,e2),e2)
| spl0_68 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( ~ spl0_40
| ~ spl0_67
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f159,f452,f594,f597]) ).
fof(f608,plain,
( spl0_71
<=> e2 = op(op(op(e1,e1),e1),e1) ),
introduced(split_symbol_definition) ).
fof(f610,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| spl0_71 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( spl0_72
<=> e3 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( e3 != op(op(e1,e1),e1)
| spl0_72 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( ~ spl0_20
| ~ spl0_71
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f163,f387,f608,f611]) ).
fof(f615,plain,
( spl0_73
<=> e3 = op(op(op(e2,e2),e2),e2) ),
introduced(split_symbol_definition) ).
fof(f617,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| spl0_73 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f622,plain,
( spl0_75
<=> e3 = op(op(op(e1,e1),e1),e1) ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| spl0_75 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,plain,
( spl0_76
<=> e2 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( e2 != op(op(e1,e1),e1)
| spl0_76 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( ~ spl0_20
| ~ spl0_75
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f167,f387,f622,f625]) ).
fof(f633,plain,
( spl0_78
<=> e0 = op(op(op(e2,e2),e2),e2) ),
introduced(split_symbol_definition) ).
fof(f635,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| spl0_78 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( ~ spl0_41
| ~ spl0_78
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f171,f455,f633,f597]) ).
fof(f637,plain,
( spl0_79
<=> e0 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( e0 != op(op(e3,e3),e3)
| spl0_79 ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f641,plain,
( spl0_80
<=> e2 = op(op(op(e0,e0),e0),e0) ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| spl0_80 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( spl0_81
<=> e3 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( e3 != op(op(e0,e0),e0)
| spl0_81 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( ~ spl0_1
| ~ spl0_80
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f175,f325,f641,f644]) ).
fof(f648,plain,
( spl0_82
<=> e0 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( e0 = op(op(e2,e2),e2)
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f650,plain,
( e0 != op(op(e2,e2),e2)
| spl0_82 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( ~ spl0_41
| ~ spl0_73
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f177,f455,f615,f648]) ).
fof(f660,plain,
( spl0_85
<=> e0 = op(op(op(e1,e1),e1),e1) ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| spl0_85 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( ~ spl0_22
| ~ spl0_85
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f183,f393,f660,f611]) ).
fof(f664,plain,
( ~ spl0_62
| ~ spl0_65
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f185,f523,f587,f637]) ).
fof(f669,plain,
( spl0_87
<=> e0 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f671,plain,
( e0 != op(op(e1,e1),e1)
| spl0_87 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( ~ spl0_22
| ~ spl0_75
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f189,f393,f622,f669]) ).
fof(f678,plain,
( ~ spl0_23
| ~ spl0_85
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f195,f396,f660,f625]) ).
fof(f679,plain,
( ~ spl0_43
| ~ spl0_67
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f197,f461,f594,f648]) ).
fof(f681,plain,
( ~ spl0_23
| ~ spl0_71
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f201,f396,f608,f669]) ).
fof(f683,plain,
( spl0_89
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f686,plain,
( ~ spl0_64
| spl0_89
| spl0_58 ),
inference(split_clause,[status(thm)],[f207,f562,f683,f510]) ).
fof(f687,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_3
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f208,f562,f683,f331,f361]) ).
fof(f688,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_23
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f209,f562,f683,f396,f416]) ).
fof(f689,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_43
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f210,f562,f683,f461,f471]) ).
fof(f690,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f211,f562,f683,f526]) ).
fof(f691,plain,
( spl0_90
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f694,plain,
( ~ spl0_89
| spl0_90
| spl0_53 ),
inference(split_clause,[status(thm)],[f215,f683,f691,f494]) ).
fof(f695,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_3
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f216,f683,f691,f331,f361]) ).
fof(f696,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_23
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f217,f683,f691,f396,f416]) ).
fof(f697,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_43
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f218,f683,f691,f461,f471]) ).
fof(f698,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f219,f683,f691,f526]) ).
fof(f699,plain,
( spl0_91
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f702,plain,
( ~ spl0_90
| spl0_91
| spl0_48 ),
inference(split_clause,[status(thm)],[f223,f691,f699,f478]) ).
fof(f703,plain,
( ~ spl0_90
| spl0_91
| ~ spl0_3
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f224,f691,f699,f331,f361]) ).
fof(f704,plain,
( ~ spl0_90
| spl0_91
| ~ spl0_23
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f225,f691,f699,f396,f416]) ).
fof(f706,plain,
( ~ spl0_90
| spl0_91
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f227,f691,f699,f526]) ).
fof(f707,plain,
( spl0_92
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f710,plain,
( ~ spl0_91
| spl0_92
| spl0_47 ),
inference(split_clause,[status(thm)],[f231,f699,f707,f474]) ).
fof(f711,plain,
( ~ spl0_91
| spl0_92
| ~ spl0_2
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f232,f699,f707,f328,f348]) ).
fof(f712,plain,
( ~ spl0_91
| spl0_92
| ~ spl0_22
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f233,f699,f707,f393,f403]) ).
fof(f713,plain,
( ~ spl0_91
| spl0_92
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f234,f699,f707,f458]) ).
fof(f714,plain,
( ~ spl0_91
| spl0_92
| ~ spl0_62
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f235,f699,f707,f523,f513]) ).
fof(f715,plain,
( spl0_93
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f718,plain,
( ~ spl0_92
| spl0_93
| spl0_42 ),
inference(split_clause,[status(thm)],[f239,f707,f715,f458]) ).
fof(f719,plain,
( ~ spl0_92
| spl0_93
| ~ spl0_2
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f240,f707,f715,f328,f348]) ).
fof(f720,plain,
( ~ spl0_92
| spl0_93
| ~ spl0_22
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f241,f707,f715,f393,f403]) ).
fof(f721,plain,
( ~ spl0_92
| spl0_93
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f242,f707,f715,f458]) ).
fof(f722,plain,
( ~ spl0_92
| spl0_93
| ~ spl0_62
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f243,f707,f715,f523,f513]) ).
fof(f723,plain,
( spl0_94
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f726,plain,
( ~ spl0_93
| spl0_94
| spl0_37 ),
inference(split_clause,[status(thm)],[f247,f715,f723,f442]) ).
fof(f727,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_2
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f248,f715,f723,f328,f348]) ).
fof(f728,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_22
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f249,f715,f723,f393,f403]) ).
fof(f729,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f250,f715,f723,f458]) ).
fof(f730,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_62
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f251,f715,f723,f523,f513]) ).
fof(f731,plain,
( spl0_95
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( ~ spl0_94
| spl0_95
| spl0_32 ),
inference(split_clause,[status(thm)],[f255,f723,f731,f426]) ).
fof(f735,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_2
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f256,f723,f731,f328,f348]) ).
fof(f736,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_22
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f257,f723,f731,f393,f403]) ).
fof(f737,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f258,f723,f731,f458]) ).
fof(f738,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_62
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f259,f723,f731,f523,f513]) ).
fof(f739,plain,
( spl0_96
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f742,plain,
( ~ spl0_95
| spl0_96
| spl0_31 ),
inference(split_clause,[status(thm)],[f263,f731,f739,f422]) ).
fof(f743,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_1
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f264,f731,f739,f325,f335]) ).
fof(f744,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f265,f731,f739,f390]) ).
fof(f745,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_41
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f266,f731,f739,f455,f445]) ).
fof(f746,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_61
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f267,f731,f739,f520,f500]) ).
fof(f747,plain,
( spl0_97
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( ~ spl0_96
| spl0_97
| spl0_26 ),
inference(split_clause,[status(thm)],[f271,f739,f747,f406]) ).
fof(f751,plain,
( ~ spl0_96
| spl0_97
| ~ spl0_1
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f272,f739,f747,f325,f335]) ).
fof(f752,plain,
( ~ spl0_96
| spl0_97
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f273,f739,f747,f390]) ).
fof(f753,plain,
( ~ spl0_96
| spl0_97
| ~ spl0_41
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f274,f739,f747,f455,f445]) ).
fof(f754,plain,
( ~ spl0_96
| spl0_97
| ~ spl0_61
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f275,f739,f747,f520,f500]) ).
fof(f755,plain,
( spl0_98
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f758,plain,
( ~ spl0_97
| spl0_98
| spl0_21 ),
inference(split_clause,[status(thm)],[f279,f747,f755,f390]) ).
fof(f759,plain,
( ~ spl0_97
| spl0_98
| ~ spl0_1
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f280,f747,f755,f325,f335]) ).
fof(f760,plain,
( ~ spl0_97
| spl0_98
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f281,f747,f755,f390]) ).
fof(f763,plain,
( spl0_99
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( ~ spl0_98
| spl0_99
| spl0_16 ),
inference(split_clause,[status(thm)],[f287,f755,f763,f374]) ).
fof(f767,plain,
( ~ spl0_98
| spl0_99
| ~ spl0_1
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f288,f755,f763,f325,f335]) ).
fof(f768,plain,
( ~ spl0_98
| spl0_99
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f289,f755,f763,f390]) ).
fof(f769,plain,
( ~ spl0_98
| spl0_99
| ~ spl0_41
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f290,f755,f763,f455,f445]) ).
fof(f771,plain,
( spl0_100
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f774,plain,
( ~ spl0_99
| spl0_100
| spl0_15 ),
inference(split_clause,[status(thm)],[f295,f763,f771,f370]) ).
fof(f775,plain,
( ~ spl0_99
| spl0_100
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f296,f763,f771,f322]) ).
fof(f776,plain,
( ~ spl0_99
| spl0_100
| ~ spl0_20
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f297,f763,f771,f387,f377]) ).
fof(f777,plain,
( ~ spl0_99
| spl0_100
| ~ spl0_40
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f298,f763,f771,f452,f432]) ).
fof(f778,plain,
( ~ spl0_99
| spl0_100
| ~ spl0_60
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f299,f763,f771,f517,f487]) ).
fof(f779,plain,
( spl0_101
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( ~ spl0_100
| spl0_101
| spl0_10 ),
inference(split_clause,[status(thm)],[f303,f771,f779,f354]) ).
fof(f783,plain,
( ~ spl0_100
| spl0_101
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f304,f771,f779,f322]) ).
fof(f784,plain,
( ~ spl0_100
| spl0_101
| ~ spl0_20
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f305,f771,f779,f387,f377]) ).
fof(f785,plain,
( ~ spl0_100
| spl0_101
| ~ spl0_40
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f306,f771,f779,f452,f432]) ).
fof(f786,plain,
( ~ spl0_100
| spl0_101
| ~ spl0_60
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f307,f771,f779,f517,f487]) ).
fof(f787,plain,
( spl0_102
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f790,plain,
( ~ spl0_101
| spl0_102
| spl0_5 ),
inference(split_clause,[status(thm)],[f311,f779,f787,f338]) ).
fof(f791,plain,
( ~ spl0_101
| spl0_102
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f312,f779,f787,f322]) ).
fof(f792,plain,
( ~ spl0_101
| spl0_102
| ~ spl0_20
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f313,f779,f787,f387,f377]) ).
fof(f795,plain,
( ~ spl0_102
| spl0_0 ),
inference(split_clause,[status(thm)],[f317,f787,f322]) ).
fof(f796,plain,
( ~ spl0_102
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f318,f787,f322]) ).
fof(f797,plain,
( ~ spl0_102
| ~ spl0_20
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f319,f787,f387,f377]) ).
fof(f798,plain,
( ~ spl0_102
| ~ spl0_40
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f320,f787,f452,f432]) ).
fof(f799,plain,
( ~ spl0_102
| ~ spl0_60
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f321,f787,f517,f487]) ).
fof(f800,plain,
( op(e1,e0) != e0
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f479,f82]) ).
fof(f801,plain,
( $false
| ~ spl0_16
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f375]) ).
fof(f802,plain,
( ~ spl0_16
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( op(e0,e0) != e0
| ~ spl0_32 ),
inference(paramodulation,[status(thm)],[f427,f79]) ).
fof(f804,plain,
( ~ spl0_0
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f803,f322,f426]) ).
fof(f805,plain,
( op(e0,e0) != e0
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f479,f80]) ).
fof(f806,plain,
( e3 = e2
| ~ spl0_30
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f423,f420]) ).
fof(f807,plain,
( $false
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f806,f131]) ).
fof(f808,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( e3 = e2
| ~ spl0_14
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f371,f368]) ).
fof(f810,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f131]) ).
fof(f811,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( op(e0,e0) != e0
| ~ spl0_16 ),
inference(paramodulation,[status(thm)],[f375,f78]) ).
fof(f813,plain,
( ~ spl0_0
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f812,f322,f374]) ).
fof(f814,plain,
( op(e1,e0) != e0
| ~ spl0_32 ),
inference(paramodulation,[status(thm)],[f427,f81]) ).
fof(f815,plain,
( ~ spl0_16
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f814,f374,f426]) ).
fof(f816,plain,
( ~ spl0_0
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f805,f322,f478]) ).
fof(f817,plain,
( e1 = e2
| ~ spl0_54
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f495,f498]) ).
fof(f818,plain,
( $false
| ~ spl0_54
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f129]) ).
fof(f819,plain,
( ~ spl0_54
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( op(e2,e0) != e2
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f485,f83]) ).
fof(f821,plain,
( $false
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f433]) ).
fof(f822,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( op(e1,e0) != e2
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f485,f82]) ).
fof(f824,plain,
( $false
| ~ spl0_18
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f381]) ).
fof(f825,plain,
( ~ spl0_18
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f826,plain,
( e3 = e1
| ~ spl0_45
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f475,f469]) ).
fof(f827,plain,
( $false
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f130]) ).
fof(f828,plain,
( ~ spl0_45
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f829,plain,
( op(e0,e1) != e1
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f443,f85]) ).
fof(f830,plain,
( $false
| ~ spl0_5
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f829,f339]) ).
fof(f831,plain,
( ~ spl0_5
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f830]) ).
fof(f832,plain,
( op(e1,e1) != e1
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f443,f87]) ).
fof(f833,plain,
( ~ spl0_21
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f832,f390,f442]) ).
fof(f834,plain,
( e2 = e1
| ~ spl0_57
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f511,f508]) ).
fof(f835,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f834,f129]) ).
fof(f836,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f835]) ).
fof(f837,plain,
( op(e2,e0) != e1
| ~ spl0_49 ),
inference(paramodulation,[status(thm)],[f482,f83]) ).
fof(f838,plain,
( $false
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f430]) ).
fof(f839,plain,
( ~ spl0_33
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( e2 = e0
| ~ spl0_24
| ~ spl0_26 ),
inference(paramodulation,[status(thm)],[f407,f401]) ).
fof(f841,plain,
( $false
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f840,f127]) ).
fof(f842,plain,
( ~ spl0_24
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( op(e0,e1) != e0
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f440,f85]) ).
fof(f844,plain,
( $false
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f336]) ).
fof(f845,plain,
( ~ spl0_4
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( op(e1,e0) != e1
| ~ spl0_49 ),
inference(paramodulation,[status(thm)],[f482,f82]) ).
fof(f847,plain,
( op(e1,e0) != e3
| ~ spl0_35 ),
inference(paramodulation,[status(thm)],[f436,f81]) ).
fof(f848,plain,
( $false
| ~ spl0_19
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f384]) ).
fof(f849,plain,
( ~ spl0_19
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f848]) ).
fof(f850,plain,
( op(e2,e0) != e0
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f479,f83]) ).
fof(f851,plain,
( e3 = e2
| ~ spl0_34
| ~ spl0_35 ),
inference(paramodulation,[status(thm)],[f436,f433]) ).
fof(f852,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f131]) ).
fof(f853,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f854,plain,
( $false
| ~ spl0_48
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f850]) ).
fof(f855,plain,
( ~ spl0_48
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f854]) ).
fof(f856,plain,
( op(e1,e0) != e2
| ~ spl0_34 ),
inference(paramodulation,[status(thm)],[f433,f81]) ).
fof(f857,plain,
( op(e0,e0) != e2
| ~ spl0_34 ),
inference(paramodulation,[status(thm)],[f433,f79]) ).
fof(f858,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f857,f328,f432]) ).
fof(f860,plain,
( e3 = e2
| ~ spl0_6
| ~ spl0_7 ),
inference(paramodulation,[status(thm)],[f345,f342]) ).
fof(f861,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f131]) ).
fof(f862,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f861]) ).
fof(f863,plain,
( $false
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f846,f378]) ).
fof(f864,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f863]) ).
fof(f865,plain,
( op(e0,e0) != e1
| ~ spl0_49 ),
inference(paramodulation,[status(thm)],[f482,f80]) ).
fof(f866,plain,
( ~ spl0_1
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f865,f325,f481]) ).
fof(f867,plain,
( $false
| ~ spl0_34
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f856]) ).
fof(f868,plain,
( ~ spl0_34
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( op(e1,e2) != e2
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f459,f93]) ).
fof(f870,plain,
( ~ spl0_26
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f869,f406,f458]) ).
fof(f871,plain,
( op(e0,e2) != e2
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f459,f91]) ).
fof(f872,plain,
( $false
| ~ spl0_10
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f355]) ).
fof(f873,plain,
( ~ spl0_10
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f874,plain,
( op(e0,e0) != e2
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f485,f80]) ).
fof(f875,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f874,f328,f484]) ).
fof(f876,plain,
( op(e0,e2) != e0
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f505,f92]) ).
fof(f877,plain,
( op(e0,e1) != e0
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f492,f86]) ).
fof(f878,plain,
( ~ spl0_4
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f877,f335,f491]) ).
fof(f879,plain,
( op(e1,e1) != e0
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f492,f88]) ).
fof(f880,plain,
( ~ spl0_20
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f879,f387,f491]) ).
fof(f881,plain,
( op(e2,e1) != e0
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f492,f89]) ).
fof(f882,plain,
( ~ spl0_36
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f881,f439,f491]) ).
fof(f883,plain,
( op(e1,e1) != e0
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f440,f87]) ).
fof(f884,plain,
( ~ spl0_20
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f883,f387,f439]) ).
fof(f885,plain,
( e0 = e2
| ~ spl0_58
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f505,f511]) ).
fof(f886,plain,
( $false
| ~ spl0_58
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f885,f127]) ).
fof(f887,plain,
( ~ spl0_58
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f886]) ).
fof(f888,plain,
( op(e0,e2) != e2
| ~ spl0_26 ),
inference(paramodulation,[status(thm)],[f407,f90]) ).
fof(f889,plain,
( $false
| ~ spl0_10
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f888,f355]) ).
fof(f890,plain,
( ~ spl0_10
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f893,plain,
( op(e0,e0) != e1
| ~ spl0_17 ),
inference(paramodulation,[status(thm)],[f378,f78]) ).
fof(f894,plain,
( op(e0,e3) != e0
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f466,f97]) ).
fof(f897,plain,
( op(e0,e1) != e0
| ~ spl0_20 ),
inference(paramodulation,[status(thm)],[f388,f84]) ).
fof(f898,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f897,f335,f387]) ).
fof(f899,plain,
( op(e0,e2) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f511,f92]) ).
fof(f902,plain,
( op(e1,e0) != e1
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f430,f81]) ).
fof(f903,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f902,f377,f429]) ).
fof(f904,plain,
( op(e0,e0) != e1
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f430,f79]) ).
fof(f905,plain,
( $false
| ~ spl0_44
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f362,f894]) ).
fof(f906,plain,
( ~ spl0_44
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f905]) ).
fof(f907,plain,
( op(e0,e1) != e3
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f449,f85]) ).
fof(f908,plain,
( op(e1,e1) != e3
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f449,f87]) ).
fof(f909,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f893,f325,f377]) ).
fof(f910,plain,
( $false
| ~ spl0_58
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f899]) ).
fof(f911,plain,
( ~ spl0_58
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f910]) ).
fof(f912,plain,
( op(e0,e2) != e3
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f410,f90]) ).
fof(f918,plain,
( op(e1,e3) != e0
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f466,f99]) ).
fof(f919,plain,
( $false
| ~ spl0_28
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f414]) ).
fof(f920,plain,
( ~ spl0_28
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( e0 = e1
| ~ spl0_5
| ~ spl0_4 ),
inference(paramodulation,[status(thm)],[f336,f339]) ).
fof(f923,plain,
( $false
| ~ spl0_5
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f922,f126]) ).
fof(f924,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( $false
| ~ spl0_27
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f912]) ).
fof(f927,plain,
( ~ spl0_27
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( $false
| ~ spl0_39
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f907]) ).
fof(f929,plain,
( ~ spl0_39
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( op(e2,e3) != e2
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f524,f101]) ).
fof(f932,plain,
( op(e1,e3) != e2
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f524,f100]) ).
fof(f933,plain,
( ~ spl0_30
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f932,f419,f523]) ).
fof(f934,plain,
( op(e0,e3) != e2
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f524,f98]) ).
fof(f935,plain,
( op(e0,e0) != e3
| ~ spl0_19 ),
inference(paramodulation,[status(thm)],[f384,f78]) ).
fof(f936,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f935,f331,f383]) ).
fof(f938,plain,
( op(e0,e2) != e0
| ~ spl0_24 ),
inference(paramodulation,[status(thm)],[f401,f90]) ).
fof(f939,plain,
( $false
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f349]) ).
fof(f940,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f941,plain,
( op(e0,e2) != e1
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f365,f107]) ).
fof(f942,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f941,f352]) ).
fof(f943,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f942]) ).
fof(f944,plain,
( op(e0,e1) != e1
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f365,f106]) ).
fof(f945,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f944,f338,f364]) ).
fof(f946,plain,
( op(e0,e1) != e2
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f394,f84]) ).
fof(f947,plain,
( ~ spl0_14
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f934,f367,f523]) ).
fof(f948,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f904,f325,f429]) ).
fof(f949,plain,
( op(e1,e2) != e1
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f456,f93]) ).
fof(f950,plain,
( $false
| ~ spl0_25
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f404]) ).
fof(f951,plain,
( ~ spl0_25
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f952,plain,
( op(e0,e2) != e1
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f456,f91]) ).
fof(f953,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f952,f351,f455]) ).
fof(f954,plain,
( ~ spl0_8
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f876,f348,f504]) ).
fof(f955,plain,
( $false
| ~ spl0_62
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f931]) ).
fof(f956,plain,
( ~ spl0_62
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f957,plain,
( ~ spl0_6
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f946,f341,f393]) ).
fof(f958,plain,
( op(e0,e1) != e3
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f371,f106]) ).
fof(f965,plain,
( op(e2,e2) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f511,f95]) ).
fof(f966,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f965,f458,f510]) ).
fof(f968,plain,
( op(e1,e2) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f511,f94]) ).
fof(f969,plain,
( ~ spl0_26
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f968,f406,f510]) ).
fof(f970,plain,
( op(e0,e2) != e3
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f371,f107]) ).
fof(f971,plain,
( op(e0,e3) != e0
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f414,f96]) ).
fof(f972,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f971,f361,f413]) ).
fof(f980,plain,
( op(e1,e1) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f495,f88]) ).
fof(f981,plain,
( op(e0,e1) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f495,f86]) ).
fof(f982,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f981,f338,f494]) ).
fof(f984,plain,
( op(e1,e1) != e1
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f404,f111]) ).
fof(f985,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f984,f390,f403]) ).
fof(f986,plain,
( op(e1,e0) != e1
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f404,f109]) ).
fof(f987,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f986,f377,f403]) ).
fof(f990,plain,
( op(e0,e2) != e1
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f404,f90]) ).
fof(f991,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f990,f351,f403]) ).
fof(f992,plain,
( op(e0,e0) != e0
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f349,f103]) ).
fof(f993,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f992,f322,f348]) ).
fof(f994,plain,
( op(e2,e1) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f495,f89]) ).
fof(f995,plain,
( ~ spl0_37
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f994,f442,f494]) ).
fof(f996,plain,
( op(e0,e1) != e0
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f349,f105]) ).
fof(f997,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f996,f335,f348]) ).
fof(f998,plain,
( ~ spl0_21
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f980,f390,f494]) ).
fof(f999,plain,
( op(e0,e0) != e1
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f365,f104]) ).
fof(f1000,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f999,f325,f364]) ).
fof(f1001,plain,
( $false
| ~ spl0_15
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f970]) ).
fof(f1002,plain,
( ~ spl0_15
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1005,plain,
( op(e0,e0) != e3
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f488,f80]) ).
fof(f1006,plain,
( ~ spl0_3
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1005,f331,f487]) ).
fof(f1008,plain,
( op(e2,e1) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f475,f118]) ).
fof(f1012,plain,
( op(e3,e1) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f511,f123]) ).
fof(f1013,plain,
( e3 = e2
| ~ spl0_46
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f475,f472]) ).
fof(f1014,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f131]) ).
fof(f1015,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1016,plain,
( op(e1,e0) != e3
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f488,f82]) ).
fof(f1017,plain,
( op(e0,e1) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f362,f106]) ).
fof(f1018,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1017,f335,f361]) ).
fof(f1019,plain,
( op(e2,e2) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f472,f119]) ).
fof(f1020,plain,
( ~ spl0_42
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1019,f458,f471]) ).
fof(f1021,plain,
( op(e2,e1) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f472,f118]) ).
fof(f1023,plain,
( op(e1,e3) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f472,f99]) ).
fof(f1024,plain,
( ~ spl0_30
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1023,f419,f471]) ).
fof(f1025,plain,
( op(e0,e3) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f472,f97]) ).
fof(f1026,plain,
( op(e0,e0) != e2
| ~ spl0_6 ),
inference(paramodulation,[status(thm)],[f342,f102]) ).
fof(f1027,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1026,f328,f341]) ).
fof(f1030,plain,
( op(e2,e0) != e3
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f488,f83]) ).
fof(f1031,plain,
( ~ spl0_35
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1030,f435,f487]) ).
fof(f1034,plain,
( op(e0,e2) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f362,f107]) ).
fof(f1035,plain,
( op(e0,e0) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f362,f104]) ).
fof(f1036,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1035,f322,f361]) ).
fof(f1037,plain,
( op(e1,e3) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f475,f99]) ).
fof(f1038,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1037,f422,f474]) ).
fof(f1039,plain,
( op(e0,e3) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f475,f97]) ).
fof(f1040,plain,
( op(e2,e0) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f475,f116]) ).
fof(f1041,plain,
( $false
| ~ spl0_47
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f1039]) ).
fof(f1042,plain,
( ~ spl0_47
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( op(e0,e0) != e3
| ~ spl0_35 ),
inference(paramodulation,[status(thm)],[f436,f79]) ).
fof(f1045,plain,
( ~ spl0_3
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1044,f331,f435]) ).
fof(f1046,plain,
( ~ spl0_39
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1008,f448,f474]) ).
fof(f1047,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f908,f396,f448]) ).
fof(f1049,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f958,f344,f370]) ).
fof(f1051,plain,
( op(e2,e1) != e2
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f498,f89]) ).
fof(f1052,plain,
( op(e1,e1) != e2
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f498,f88]) ).
fof(f1053,plain,
( ~ spl0_22
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1052,f393,f497]) ).
fof(f1054,plain,
( ~ spl0_54
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1012,f497,f510]) ).
fof(f1055,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1040,f435,f474]) ).
fof(f1056,plain,
( $false
| ~ spl0_54
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f1051]) ).
fof(f1057,plain,
( ~ spl0_54
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1056]) ).
fof(f1062,plain,
( op(e0,e0) != e3
| ~ spl0_7 ),
inference(paramodulation,[status(thm)],[f345,f102]) ).
fof(f1063,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1062,f331,f344]) ).
fof(f1064,plain,
( $false
| ~ spl0_12
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f1034]) ).
fof(f1065,plain,
( ~ spl0_12
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1064]) ).
fof(f1066,plain,
( op(e0,e1) != e2
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f498,f86]) ).
fof(f1068,plain,
( op(e1,e2) != e1
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f417,f113]) ).
fof(f1069,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1068,f403,f416]) ).
fof(f1070,plain,
( op(e0,e0) != e3
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f371,f104]) ).
fof(f1071,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1070,f331,f370]) ).
fof(f1072,plain,
( op(e1,e1) != e1
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f417,f112]) ).
fof(f1076,plain,
( op(e3,e2) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f527,f125]) ).
fof(f1077,plain,
( op(e3,e1) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f527,f124]) ).
fof(f1078,plain,
( op(e3,e0) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f527,f122]) ).
fof(f1079,plain,
( ~ spl0_51
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1078,f487,f526]) ).
fof(f1080,plain,
( op(e2,e3) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f527,f101]) ).
fof(f1081,plain,
( ~ spl0_47
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1080,f474,f526]) ).
fof(f1082,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1021,f445,f471]) ).
fof(f1083,plain,
( ~ spl0_14
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1025,f367,f471]) ).
fof(f1084,plain,
( op(e1,e3) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f527,f100]) ).
fof(f1085,plain,
( ~ spl0_31
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1084,f422,f526]) ).
fof(f1086,plain,
( op(e0,e3) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f527,f98]) ).
fof(f1087,plain,
( ~ spl0_15
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1086,f370,f526]) ).
fof(f1088,plain,
( op(e1,e0) != e1
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f417,f110]) ).
fof(f1090,plain,
( $false
| ~ spl0_63
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f1076]) ).
fof(f1091,plain,
( ~ spl0_63
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( $false
| ~ spl0_63
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f1077]) ).
fof(f1093,plain,
( ~ spl0_63
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1095,plain,
( $false
| ~ spl0_29
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f1072]) ).
fof(f1096,plain,
( ~ spl0_29
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1106,plain,
( e0 != op(op(e1,e2),e2)
| spl0_78
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f456,f635]) ).
fof(f1107,plain,
( e3 != op(op(e1,e2),e2)
| spl0_73
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f456,f617]) ).
fof(f1108,plain,
( e2 = e3
| ~ spl0_59
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f511,f514]) ).
fof(f1109,plain,
( $false
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f131]) ).
fof(f1110,plain,
( ~ spl0_59
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( op(e0,e3) != e1
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f417,f96]) ).
fof(f1113,plain,
( ~ spl0_13
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1112,f364,f416]) ).
fof(f1114,plain,
( op(e3,e1) != e3
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f514,f123]) ).
fof(f1115,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1114,f500,f513]) ).
fof(f1117,plain,
( op(e1,e2) != e3
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f514,f94]) ).
fof(f1118,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1117,f409,f513]) ).
fof(f1119,plain,
( $false
| ~ spl0_29
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f1088]) ).
fof(f1120,plain,
( ~ spl0_29
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1124,plain,
( op(e0,e0) != e2
| ~ spl0_18 ),
inference(paramodulation,[status(thm)],[f381,f78]) ).
fof(f1125,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1124,f328,f380]) ).
fof(f1126,plain,
( ~ spl0_6
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1066,f341,f497]) ).
fof(f1134,plain,
( op(e3,e2) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f521,f125]) ).
fof(f1135,plain,
( ~ spl0_57
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1134,f507,f520]) ).
fof(f1136,plain,
( op(e2,e3) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f521,f101]) ).
fof(f1137,plain,
( ~ spl0_45
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1136,f468,f520]) ).
fof(f1138,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1016,f383,f487]) ).
fof(f1139,plain,
( op(e0,e1) != e3
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f501,f86]) ).
fof(f1140,plain,
( ~ spl0_7
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1139,f344,f500]) ).
fof(f1141,plain,
( op(e0,e3) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f521,f98]) ).
fof(f1142,plain,
( ~ spl0_13
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1141,f364,f520]) ).
fof(f1143,plain,
( op(e3,e0) != e3
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f501,f120]) ).
fof(f1145,plain,
( op(e3,e0) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f521,f122]) ).
fof(f1146,plain,
( ~ spl0_49
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1145,f481,f520]) ).
fof(f1147,plain,
( op(e0,e1) != e2
| ~ spl0_38 ),
inference(paramodulation,[status(thm)],[f446,f85]) ).
fof(f1148,plain,
( op(e2,e0) != e2
| ~ spl0_38 ),
inference(paramodulation,[status(thm)],[f446,f114]) ).
fof(f1149,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1148,f432,f445]) ).
fof(f1150,plain,
( op(e1,e2) != e0
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f414,f113]) ).
fof(f1151,plain,
( ~ spl0_24
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1150,f400,f413]) ).
fof(f1154,plain,
( op(e1,e0) != e1
| ~ spl0_21 ),
inference(paramodulation,[status(thm)],[f391,f108]) ).
fof(f1155,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1154,f377,f390]) ).
fof(f1156,plain,
( op(e0,e1) != e1
| ~ spl0_21 ),
inference(paramodulation,[status(thm)],[f391,f84]) ).
fof(f1157,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1156,f338,f390]) ).
fof(f1160,plain,
( op(e0,e3) != e2
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f420,f96]) ).
fof(f1187,plain,
( op(e3,e2) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f518,f125]) ).
fof(f1206,plain,
( e2 != op(op(e0,e1),e1)
| spl0_71
| ~ spl0_20 ),
inference(paramodulation,[status(thm)],[f388,f610]) ).
fof(f1207,plain,
( e3 != op(op(e0,e1),e1)
| spl0_75
| ~ spl0_20 ),
inference(paramodulation,[status(thm)],[f388,f624]) ).
fof(f1208,plain,
( e1 != op(op(e0,e2),e2)
| spl0_67
| ~ spl0_40 ),
inference(paramodulation,[status(thm)],[f453,f596]) ).
fof(f1216,plain,
( e1 != op(op(e0,e3),e3)
| spl0_65
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f518,f589]) ).
fof(f1218,plain,
( e2 != op(e3,e1)
| spl0_71
| ~ spl0_20
| ~ spl0_7 ),
inference(paramodulation,[status(thm)],[f345,f1206]) ).
fof(f1219,plain,
( ~ spl0_54
| spl0_71
| ~ spl0_20
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1218,f497,f608,f387,f344]) ).
fof(f1220,plain,
( e3 != op(e0,e1)
| spl0_72
| ~ spl0_20 ),
inference(paramodulation,[status(thm)],[f388,f613]) ).
fof(f1221,plain,
( ~ spl0_7
| spl0_72
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1220,f344,f611,f387]) ).
fof(f1223,plain,
( $false
| ~ spl0_30
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f1160]) ).
fof(f1224,plain,
( ~ spl0_30
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1223]) ).
fof(f1226,plain,
( op(e0,e0) != e0
| ~ spl0_4 ),
inference(paramodulation,[status(thm)],[f336,f102]) ).
fof(f1227,plain,
( ~ spl0_0
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1226,f322,f335]) ).
fof(f1228,plain,
( op(e1,e3) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f521,f100]) ).
fof(f1229,plain,
( ~ spl0_29
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1228,f416,f520]) ).
fof(f1230,plain,
( ~ spl0_56
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f1187,f504,f517]) ).
fof(f1231,plain,
( op(e2,e3) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f518,f101]) ).
fof(f1232,plain,
( ~ spl0_44
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f1231,f465,f517]) ).
fof(f1233,plain,
( $false
| ~ spl0_55
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f1143]) ).
fof(f1234,plain,
( ~ spl0_55
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1233]) ).
fof(f1240,plain,
( op(e0,e2) != e3
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f462,f91]) ).
fof(f1241,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1240,f357,f461]) ).
fof(f1280,plain,
( e2 != op(op(e1,e0),e0)
| spl0_80
| ~ spl0_1 ),
inference(paramodulation,[status(thm)],[f326,f643]) ).
fof(f1310,plain,
( e3 != op(e0,e2)
| spl0_73
| ~ spl0_41
| ~ spl0_24 ),
inference(paramodulation,[status(thm)],[f401,f1107]) ).
fof(f1311,plain,
( ~ spl0_11
| spl0_73
| ~ spl0_41
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1310,f357,f615,f455,f400]) ).
fof(f1312,plain,
( e0 != op(e1,e2)
| spl0_82
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f456,f650]) ).
fof(f1313,plain,
( ~ spl0_24
| spl0_82
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1312,f400,f648,f455]) ).
fof(f1316,plain,
( op(e1,e2) != e0
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f505,f94]) ).
fof(f1316_001,plain,
( op(e1,e2) != e0
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f505,f94]) ).
fof(f1328,plain,
( e0 = op(e1,e2)
| ~ spl0_82
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f456,f649]) ).
fof(f1329,plain,
( $false
| ~ spl0_56
| ~ spl0_82
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f1316]) ).
fof(f1330,plain,
( ~ spl0_56
| ~ spl0_82
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1329]) ).
fof(f1345,plain,
( e0 != op(e3,e2)
| spl0_78
| ~ spl0_41
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f410,f1106]) ).
fof(f1346,plain,
( ~ spl0_56
| spl0_78
| ~ spl0_41
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1345,f504,f633,f455,f409]) ).
fof(f1349,plain,
( e3 != op(e1,e2)
| spl0_68
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f456,f599]) ).
fof(f1350,plain,
( ~ spl0_27
| spl0_68
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1349,f409,f597,f455]) ).
fof(f1373,plain,
( e2 != op(e3,e0)
| spl0_80
| ~ spl0_1
| ~ spl0_19 ),
inference(paramodulation,[status(thm)],[f384,f1280]) ).
fof(f1374,plain,
( ~ spl0_50
| spl0_80
| ~ spl0_1
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1373,f484,f641,f325,f383]) ).
fof(f1384,plain,
( e3 != op(e1,e0)
| spl0_81
| ~ spl0_1 ),
inference(paramodulation,[status(thm)],[f326,f646]) ).
fof(f1385,plain,
( ~ spl0_19
| spl0_81
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1384,f383,f644,f325]) ).
fof(f1455,plain,
( e3 != op(e2,e1)
| spl0_75
| ~ spl0_20
| ~ spl0_6 ),
inference(paramodulation,[status(thm)],[f342,f1207]) ).
fof(f1456,plain,
( ~ spl0_39
| spl0_75
| ~ spl0_20
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1455,f448,f622,f387,f341]) ).
fof(f1457,plain,
( e2 != op(e0,e1)
| spl0_76
| ~ spl0_20 ),
inference(paramodulation,[status(thm)],[f388,f627]) ).
fof(f1458,plain,
( ~ spl0_6
| spl0_76
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1457,f341,f625,f387]) ).
fof(f1478,plain,
( op(e2,e1) != e2
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f459,f117]) ).
fof(f1496,plain,
( e3 != op(op(e2,e1),e1)
| spl0_75
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f394,f624]) ).
fof(f1503,plain,
( e1 != op(op(e2,e3),e3)
| spl0_65
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f524,f589]) ).
fof(f1519,plain,
( e3 != op(e0,e1)
| spl0_75
| ~ spl0_22
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f440,f1496]) ).
fof(f1520,plain,
( ~ spl0_7
| spl0_75
| ~ spl0_22
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1519,f344,f622,f393,f439]) ).
fof(f1523,plain,
( e0 != op(e2,e1)
| spl0_87
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f394,f671]) ).
fof(f1524,plain,
( ~ spl0_36
| spl0_87
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1523,f439,f669,f393]) ).
fof(f1532,plain,
( $false
| ~ spl0_42
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f1478]) ).
fof(f1533,plain,
( ~ spl0_42
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1532]) ).
fof(f1543,plain,
( e2 != op(op(e3,e1),e1)
| spl0_71
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f397,f610]) ).
fof(f1568,plain,
( e1 != op(op(e3,e2),e2)
| spl0_67
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f462,f596]) ).
fof(f1595,plain,
( e2 != op(e0,e1)
| spl0_71
| ~ spl0_23
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f492,f1543]) ).
fof(f1596,plain,
( ~ spl0_6
| spl0_71
| ~ spl0_23
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1595,f341,f608,f396,f491]) ).
fof(f1599,plain,
( e0 != op(e3,e1)
| spl0_87
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f397,f671]) ).
fof(f1600,plain,
( ~ spl0_52
| spl0_87
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1599,f491,f669,f396]) ).
fof(f1607,plain,
( op(e2,e0) != e3
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f462,f115]) ).
fof(f1608,plain,
( ~ spl0_35
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1607,f435,f461]) ).
fof(f1614,plain,
( op(e0,e3) != e3
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f423,f96]) ).
fof(f1615,plain,
( ~ spl0_15
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1614,f370,f422]) ).
fof(f1625,plain,
( e3 != op(e2,e1)
| spl0_72
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f394,f613]) ).
fof(f1626,plain,
( ~ spl0_39
| spl0_72
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1625,f448,f611,f393]) ).
fof(f1640,plain,
( op(e0,e3) != e1
| ~ spl0_45 ),
inference(paramodulation,[status(thm)],[f469,f97]) ).
fof(f1641,plain,
( ~ spl0_13
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1640,f364,f468]) ).
fof(f1642,plain,
( ~ spl0_6
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1147,f341,f445]) ).
fof(f1646,plain,
( op(e2,e2) != e1
| ~ spl0_45 ),
inference(paramodulation,[status(thm)],[f469,f119]) ).
fof(f1647,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1646,f455,f468]) ).
fof(f1648,plain,
( op(e0,e1) != e2
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f355,f105]) ).
fof(f1649,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1648,f341,f354]) ).
fof(f1701,plain,
( e0 != op(op(e2,e1),e1)
| spl0_85
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f394,f662]) ).
fof(f1714,plain,
( e1 != op(e0,e3)
| spl0_65
| ~ spl0_62
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f466,f1503]) ).
fof(f1715,plain,
( ~ spl0_13
| spl0_65
| ~ spl0_62
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1714,f364,f587,f523,f465]) ).
fof(f1720,plain,
( op(e2,e0) != e0
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f440,f114]) ).
fof(f1721,plain,
( ~ spl0_32
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1720,f426,f439]) ).
fof(f1722,plain,
( ~ spl0_24
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1316,f400,f504]) ).
fof(f1723,plain,
( e2 != op(e3,e1)
| spl0_76
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f397,f627]) ).
fof(f1724,plain,
( ~ spl0_54
| spl0_76
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1723,f497,f625,f396]) ).
fof(f1727,plain,
( op(e1,e3) != e1
| ~ spl0_45 ),
inference(paramodulation,[status(thm)],[f469,f99]) ).
fof(f1728,plain,
( ~ spl0_29
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1727,f416,f468]) ).
fof(f1730,plain,
( op(e0,e2) != e1
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f508,f92]) ).
fof(f1731,plain,
( op(e3,e0) != e1
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f508,f121]) ).
fof(f1732,plain,
( ~ spl0_49
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1731,f481,f507]) ).
fof(f1768,plain,
( e0 != op(op(e3,e1),e1)
| spl0_85
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f397,f662]) ).
fof(f1800,plain,
( e1 != op(e0,e2)
| spl0_67
| ~ spl0_43
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f505,f1568]) ).
fof(f1801,plain,
( ~ spl0_9
| spl0_67
| ~ spl0_43
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1800,f351,f594,f461,f504]) ).
fof(f1873,plain,
( e1 != op(e2,e3)
| spl0_65
| ~ spl0_60
| ~ spl0_14 ),
inference(paramodulation,[status(thm)],[f368,f1216]) ).
fof(f1874,plain,
( ~ spl0_45
| spl0_65
| ~ spl0_60
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1873,f468,f587,f517,f367]) ).
fof(f1877,plain,
( e1 != op(e3,e2)
| spl0_67
| ~ spl0_40
| ~ spl0_11 ),
inference(paramodulation,[status(thm)],[f358,f1208]) ).
fof(f1878,plain,
( ~ spl0_57
| spl0_67
| ~ spl0_40
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1877,f507,f594,f452,f357]) ).
fof(f1879,plain,
( e3 != op(e0,e2)
| spl0_68
| ~ spl0_40 ),
inference(paramodulation,[status(thm)],[f453,f599]) ).
fof(f1880,plain,
( ~ spl0_11
| spl0_68
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1879,f357,f597,f452]) ).
fof(f1944,plain,
( e0 != op(e3,e1)
| spl0_85
| ~ spl0_22
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f449,f1701]) ).
fof(f1945,plain,
( ~ spl0_52
| spl0_85
| ~ spl0_22
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1944,f491,f660,f393,f448]) ).
fof(f1947,plain,
( e0 != op(e2,e3)
| spl0_79
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f524,f639]) ).
fof(f1948,plain,
( ~ spl0_44
| spl0_79
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1947,f465,f637,f523]) ).
fof(f2018,plain,
( e0 != op(e2,e1)
| spl0_85
| ~ spl0_23
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f498,f1768]) ).
fof(f2019,plain,
( ~ spl0_36
| spl0_85
| ~ spl0_23
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f2018,f439,f660,f396,f497]) ).
fof(f2020,plain,
( $false
| ~ spl0_57
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f1730]) ).
fof(f2021,plain,
( ~ spl0_57
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f2020]) ).
fof(f2022,plain,
( e0 != op(e3,e2)
| spl0_82
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f462,f650]) ).
fof(f2023,plain,
( ~ spl0_56
| spl0_82
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f2022,f504,f648,f461]) ).
fof(f2032,plain,
$false,
inference(sat_refutation,[status(thm)],[f334,f347,f360,f373,f386,f399,f412,f425,f438,f451,f464,f477,f490,f503,f516,f529,f530,f531,f532,f533,f534,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f556,f557,f558,f559,f560,f561,f565,f566,f567,f568,f569,f570,f572,f573,f574,f575,f577,f578,f579,f580,f582,f583,f584,f585,f593,f600,f614,f628,f636,f647,f651,f663,f664,f672,f678,f679,f681,f686,f687,f688,f689,f690,f694,f695,f696,f697,f698,f702,f703,f704,f706,f710,f711,f712,f713,f714,f718,f719,f720,f721,f722,f726,f727,f728,f729,f730,f734,f735,f736,f737,f738,f742,f743,f744,f745,f746,f750,f751,f752,f753,f754,f758,f759,f760,f766,f767,f768,f769,f774,f775,f776,f777,f778,f782,f783,f784,f785,f786,f790,f791,f792,f795,f796,f797,f798,f799,f802,f804,f808,f811,f813,f815,f816,f819,f822,f825,f828,f831,f833,f836,f839,f842,f845,f849,f853,f855,f858,f862,f864,f866,f868,f870,f873,f875,f878,f880,f882,f884,f887,f890,f898,f903,f906,f909,f911,f920,f924,f927,f929,f933,f936,f940,f943,f945,f947,f948,f951,f953,f954,f956,f957,f966,f969,f972,f982,f985,f987,f991,f993,f995,f997,f998,f1000,f1002,f1006,f1015,f1018,f1020,f1024,f1027,f1031,f1036,f1038,f1042,f1045,f1046,f1047,f1049,f1053,f1054,f1055,f1057,f1063,f1065,f1069,f1071,f1079,f1081,f1082,f1083,f1085,f1087,f1091,f1093,f1096,f1110,f1113,f1115,f1118,f1120,f1125,f1126,f1135,f1137,f1138,f1140,f1142,f1146,f1149,f1151,f1155,f1157,f1219,f1221,f1224,f1227,f1229,f1230,f1232,f1234,f1241,f1311,f1313,f1330,f1346,f1350,f1374,f1385,f1456,f1458,f1520,f1524,f1533,f1596,f1600,f1608,f1615,f1626,f1641,f1642,f1647,f1649,f1715,f1721,f1722,f1724,f1728,f1732,f1801,f1874,f1878,f1880,f1945,f1948,f2019,f2021,f2023]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG148+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 23:26:02 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 0.22/0.52 % Refutation found
% 0.22/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.53 % Elapsed time: 0.175528 seconds
% 0.22/0.53 % CPU time: 1.281604 seconds
% 0.22/0.53 % Total memory used: 29.114 MB
% 0.22/0.53 % Net memory used: 27.985 MB
%------------------------------------------------------------------------------