%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG148+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:37 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.50s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 195
% Syntax : Number of formulae : 1399 ( 55 unt; 176 def)
% Number of atoms : 5739 (3087 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 7834 (3494 ~;3132 |;1003 &)
% ( 205 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 178 ( 176 usr; 177 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(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e3) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e2) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e1) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e0) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e3) = e3 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e2) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e1) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e0) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e3) = e3 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f139,plain,
( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f144,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f146,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f147,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f148,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f149,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f151,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f152,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f153,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f154,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f158,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f159,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f161,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f163,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f166,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f167,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f169,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f174,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f175,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f178,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f179,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f181,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f184,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f185,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f190,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f191,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f193,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f196,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f197,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f199,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f201,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f204,definition,
( sP1_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e1) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e0) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e3) = e3 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f205,plain,
( sP0_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e2) = e2 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f204]) ).
fof(f206,definition,
( sP2_prd
<=> ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f207,definition,
( sP3_prd
<=> ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f208,plain,
( sP0_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP3_prd
& sP2_prd
& op(e3,e2) = e2 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f205,f207,f206]) ).
fof(f209,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3 )
| ~ sP3_prd
| ~ sP2_prd
| op(e3,e2) != e2 )
& ~ sP1_prd )
| sP0_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP3_prd
& sP2_prd
& op(e3,e2) = e2 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( op(e3,e2) = e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( sP2_prd
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f212,plain,
( sP3_prd
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f213,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f214,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f215,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f220,definition,
( sP4_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e0) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e3) = e3 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f221,plain,
( sP1_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e1) = e1 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f204,f220]) ).
fof(f222,definition,
( sP5_prd
<=> ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f223,definition,
( sP6_prd
<=> ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f224,plain,
( sP1_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP6_prd
& sP5_prd
& op(e3,e1) = e1 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f221,f223,f222]) ).
fof(f225,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3 )
| ~ sP6_prd
| ~ sP5_prd
| op(e3,e1) != e1 )
& ~ sP4_prd )
| sP1_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP6_prd
& sP5_prd
& op(e3,e1) = e1 )
| sP4_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f224]) ).
fof(f226,plain,
( op(e3,e1) = e1
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
( sP5_prd
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f228,plain,
( sP6_prd
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f229,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f230,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP4_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f231,plain,
( ~ sP4_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f236,plain,
( ( ( op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP2_prd )
& ( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f206]) ).
fof(f237,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
( op(e0,e0) = e3
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f239,plain,
( op(e0,e3) = e0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f240,plain,
( ( ( op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP3_prd )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f207]) ).
fof(f241,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
( op(e1,e1) = e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f244,definition,
( sP7_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e3) = e3 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f245,plain,
( sP4_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e0) = e0 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f220,f244]) ).
fof(f246,definition,
( sP8_prd
<=> ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f247,definition,
( sP9_prd
<=> ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f248,plain,
( sP4_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP9_prd
& sP8_prd
& op(e3,e0) = e0 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f245,f247,f246]) ).
fof(f249,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3 )
| ~ sP9_prd
| ~ sP8_prd
| op(e3,e0) != e0 )
& ~ sP7_prd )
| sP4_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP9_prd
& sP8_prd
& op(e3,e0) = e0 )
| sP7_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
( op(e3,e0) = e0
| sP7_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( sP8_prd
| sP7_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f252,plain,
( sP9_prd
| sP7_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f253,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3
| sP7_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f254,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP7_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f255,plain,
( ~ sP7_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f256,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| ~ sP9_prd
| ~ sP8_prd
| op(e3,e0) != e0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f260,plain,
( ( ( op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP5_prd )
& ( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f222]) ).
fof(f261,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e0,e0) = e3
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f263,plain,
( op(e0,e3) = e0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f264,plain,
( ( ( op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP6_prd )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f223]) ).
fof(f265,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f266,plain,
( op(e1,e1) = e3
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f268,definition,
( sP10_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f269,plain,
( sP7_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e3) = e3 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f244,f268]) ).
fof(f270,definition,
( sP11_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f271,definition,
( sP12_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f272,plain,
( sP7_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP12_prd
& sP11_prd
& op(e2,e3) = e3 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f269,f271,f270]) ).
fof(f273,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP12_prd
| ~ sP11_prd
| op(e2,e3) != e3 )
& ~ sP10_prd )
| sP7_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP12_prd
& sP11_prd
& op(e2,e3) = e3 )
| sP10_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
( op(e2,e3) = e3
| sP10_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f275,plain,
( sP11_prd
| sP10_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f276,plain,
( sP12_prd
| sP10_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f277,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP10_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f278,plain,
( op(e3,e2) != e3
| op(e3,e3) != e2
| sP10_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f279,plain,
( ~ sP10_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f280,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP12_prd
| ~ sP11_prd
| op(e2,e3) != e3
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f284,plain,
( ( ( op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP8_prd )
& ( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f246]) ).
fof(f285,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e0,e0) = e3
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f287,plain,
( op(e0,e3) = e0
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f288,plain,
( ( ( op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP9_prd )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f247]) ).
fof(f289,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
( op(e1,e1) = e3
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f292,definition,
( sP13_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f293,plain,
( sP10_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f268,f292]) ).
fof(f294,definition,
( sP14_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f295,definition,
( sP15_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f296,plain,
( sP10_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP15_prd
& sP14_prd
& op(e2,e2) = e2 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f293,f295,f294]) ).
fof(f297,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP15_prd
| ~ sP14_prd
| op(e2,e2) != e2 )
& ~ sP13_prd )
| sP10_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP15_prd
& sP14_prd
& op(e2,e2) = e2 )
| sP13_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( op(e2,e2) = e2
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f300,plain,
( sP15_prd
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f301,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f302,plain,
( op(e3,e2) != e3
| op(e3,e3) != e2
| sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f303,plain,
( ~ sP13_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f308,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP11_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f270]) ).
fof(f309,plain,
( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(e0,e0) = e2
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f311,plain,
( op(e0,e2) = e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f312,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP12_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f271]) ).
fof(f313,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f314,plain,
( op(e1,e1) = e2
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f316,definition,
( sP16_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f317,plain,
( sP13_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e1) = e1 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f292,f316]) ).
fof(f318,definition,
( sP17_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f319,definition,
( sP18_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f320,plain,
( sP13_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP18_prd
& sP17_prd
& op(e2,e1) = e1 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f317,f319,f318]) ).
fof(f321,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP18_prd
| ~ sP17_prd
| op(e2,e1) != e1 )
& ~ sP16_prd )
| sP13_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP18_prd
& sP17_prd
& op(e2,e1) = e1 )
| sP16_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( op(e2,e1) = e1
| sP16_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f323,plain,
( sP17_prd
| sP16_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f324,plain,
( sP18_prd
| sP16_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f325,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP16_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f326,plain,
( op(e3,e2) != e3
| op(e3,e3) != e2
| sP16_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f327,plain,
( ~ sP16_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f328,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP18_prd
| ~ sP17_prd
| op(e2,e1) != e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f332,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP14_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f333,plain,
( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f334,plain,
( op(e0,e0) = e2
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f335,plain,
( op(e0,e2) = e0
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f336,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP15_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f337,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( op(e1,e1) = e2
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f340,definition,
( sP19_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f341,plain,
( sP16_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e0) = e0 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f340]) ).
fof(f342,definition,
( sP20_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f343,definition,
( sP21_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f344,plain,
( sP16_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP21_prd
& sP20_prd
& op(e2,e0) = e0 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f341,f343,f342]) ).
fof(f345,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e0) != e0 )
& ~ sP19_prd )
| sP16_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP21_prd
& sP20_prd
& op(e2,e0) = e0 )
| sP19_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f344]) ).
fof(f346,plain,
( op(e2,e0) = e0
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( sP20_prd
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f348,plain,
( sP21_prd
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f349,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f351,plain,
( ~ sP19_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f352,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e0) != e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f356,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP17_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f357,plain,
( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( op(e0,e0) = e2
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f359,plain,
( op(e0,e2) = e0
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f360,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP18_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f361,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f362,plain,
( op(e1,e1) = e2
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f364,definition,
( sP22_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f365,plain,
( sP19_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e3) = e3 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f340,f364]) ).
fof(f366,definition,
( sP23_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f367,definition,
( sP24_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f368,plain,
( sP19_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP24_prd
& sP23_prd
& op(e1,e3) = e3 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f365,f367,f366]) ).
fof(f369,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP24_prd
| ~ sP23_prd
| op(e1,e3) != e3 )
& ~ sP22_prd )
| sP19_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP24_prd
& sP23_prd
& op(e1,e3) = e3 )
| sP22_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f368]) ).
fof(f370,plain,
( op(e1,e3) = e3
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f371,plain,
( sP23_prd
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f372,plain,
( sP24_prd
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f373,plain,
( op(e2,e1) != e2
| op(e2,e2) != e1
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f374,plain,
( op(e3,e1) != e3
| op(e3,e3) != e1
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f375,plain,
( ~ sP22_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f376,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP24_prd
| ~ sP23_prd
| op(e1,e3) != e3
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f380,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP20_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f342]) ).
fof(f381,plain,
( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
( op(e0,e0) = e2
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f383,plain,
( op(e0,e2) = e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f384,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP21_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f343]) ).
fof(f385,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(e1,e1) = e2
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,definition,
( sP25_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f389,plain,
( sP22_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e2) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f364,f388]) ).
fof(f390,definition,
( sP26_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f391,definition,
( sP27_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f392,plain,
( sP22_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP27_prd
& sP26_prd
& op(e1,e2) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f389,f391,f390]) ).
fof(f393,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP27_prd
| ~ sP26_prd
| op(e1,e2) != e2 )
& ~ sP25_prd )
| sP22_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP27_prd
& sP26_prd
& op(e1,e2) = e2 )
| sP25_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f392]) ).
fof(f394,plain,
( op(e1,e2) = e2
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f395,plain,
( sP26_prd
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f396,plain,
( sP27_prd
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f397,plain,
( op(e2,e1) != e2
| op(e2,e2) != e1
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f398,plain,
( op(e3,e1) != e3
| op(e3,e3) != e1
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f399,plain,
( ~ sP25_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f400,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP27_prd
| ~ sP26_prd
| op(e1,e2) != e2
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f401,plain,
( op(e3,e1) = e3
| op(e2,e2) = e1
| ~ sP27_prd
| ~ sP26_prd
| op(e1,e2) != e2
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f404,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP23_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f366]) ).
fof(f405,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f406,plain,
( op(e0,e0) = e1
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f407,plain,
( op(e0,e1) = e0
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f408,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP24_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f367]) ).
fof(f409,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f410,plain,
( op(e1,e1) = e1
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f412,definition,
( sP28_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f413,plain,
( sP25_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f388,f412]) ).
fof(f414,definition,
( sP29_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f415,definition,
( sP30_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f416,plain,
( sP25_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP30_prd
& sP29_prd
& op(e1,e1) = e1 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f413,f415,f414]) ).
fof(f417,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP30_prd
| ~ sP29_prd
| op(e1,e1) != e1 )
& ~ sP28_prd )
| sP25_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP30_prd
& sP29_prd
& op(e1,e1) = e1 )
| sP28_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f418,plain,
( op(e1,e1) = e1
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f419,plain,
( sP29_prd
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f420,plain,
( sP30_prd
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f422,plain,
( op(e3,e1) != e3
| op(e3,e3) != e1
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f423,plain,
( ~ sP28_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f428,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP26_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f390]) ).
fof(f429,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( op(e0,e0) = e1
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f431,plain,
( op(e0,e1) = e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f432,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP27_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f433,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f434,plain,
( op(e1,e1) = e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f436,definition,
( sP31_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f437,plain,
( sP28_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e0) = e0 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f412,f436]) ).
fof(f438,definition,
( sP32_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f439,definition,
( sP33_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f440,plain,
( sP28_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP33_prd
& sP32_prd
& op(e1,e0) = e0 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f437,f439,f438]) ).
fof(f441,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP33_prd
| ~ sP32_prd
| op(e1,e0) != e0 )
& ~ sP31_prd )
| sP28_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP33_prd
& sP32_prd
& op(e1,e0) = e0 )
| sP31_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
( op(e1,e0) = e0
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f443,plain,
( sP32_prd
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f444,plain,
( sP33_prd
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f445,plain,
( op(e2,e1) != e2
| op(e2,e2) != e1
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f446,plain,
( op(e3,e1) != e3
| op(e3,e3) != e1
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f447,plain,
( ~ sP31_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f448,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| ~ sP33_prd
| ~ sP32_prd
| op(e1,e0) != e0
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f452,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP29_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f414]) ).
fof(f453,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f454,plain,
( op(e0,e0) = e1
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f455,plain,
( op(e0,e1) = e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f456,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP30_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f415]) ).
fof(f457,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f458,plain,
( op(e1,e1) = e1
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f460,definition,
( sP34_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f461,plain,
( sP31_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e3) = e3 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f436,f460]) ).
fof(f462,definition,
( sP35_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f463,definition,
( sP36_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f464,plain,
( sP31_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP36_prd
& sP35_prd
& op(e0,e3) = e3 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f461,f463,f462]) ).
fof(f465,plain,
( ( ( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP36_prd
| ~ sP35_prd
| op(e0,e3) != e3 )
& ~ sP34_prd )
| sP31_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP36_prd
& sP35_prd
& op(e0,e3) = e3 )
| sP34_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f464]) ).
fof(f466,plain,
( op(e0,e3) = e3
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f467,plain,
( sP35_prd
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f468,plain,
( sP36_prd
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f469,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f470,plain,
( op(e3,e0) != e3
| op(e3,e3) != e0
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f471,plain,
( ~ sP34_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f472,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP36_prd
| ~ sP35_prd
| op(e0,e3) != e3
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f476,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP32_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f438]) ).
fof(f477,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f478,plain,
( op(e0,e0) = e1
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f479,plain,
( op(e0,e1) = e0
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f480,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP33_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f439]) ).
fof(f481,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f482,plain,
( op(e1,e1) = e1
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f484,definition,
( sP37_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f485,plain,
( sP34_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e2) = e2 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f460,f484]) ).
fof(f486,definition,
( sP38_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f487,definition,
( sP39_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f488,plain,
( sP34_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP39_prd
& sP38_prd
& op(e0,e2) = e2 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f485,f487,f486]) ).
fof(f489,plain,
( ( ( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP39_prd
| ~ sP38_prd
| op(e0,e2) != e2 )
& ~ sP37_prd )
| sP34_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP39_prd
& sP38_prd
& op(e0,e2) = e2 )
| sP37_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op(e0,e2) = e2
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f491,plain,
( sP38_prd
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f492,plain,
( sP39_prd
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f493,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f494,plain,
( op(e3,e0) != e3
| op(e3,e3) != e0
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f495,plain,
( ~ sP37_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f496,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP39_prd
| ~ sP38_prd
| op(e0,e2) != e2
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f500,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP35_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f462]) ).
fof(f501,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f502,plain,
( op(e0,e0) = e0
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f504,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP36_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f463]) ).
fof(f505,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f506,plain,
( op(e1,e1) = e0
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f507,plain,
( op(e1,e0) = e1
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f508,definition,
( sP40_prd
<=> ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f509,plain,
( sP37_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e1) = e1 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f484,f508]) ).
fof(f510,definition,
( sP41_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f511,definition,
( sP42_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f512,plain,
( sP37_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP42_prd
& sP41_prd
& op(e0,e1) = e1 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f509,f511,f510]) ).
fof(f513,plain,
( ( ( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP42_prd
| ~ sP41_prd
| op(e0,e1) != e1 )
& ~ sP40_prd )
| sP37_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP42_prd
& sP41_prd
& op(e0,e1) = e1 )
| sP40_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f512]) ).
fof(f514,plain,
( op(e0,e1) = e1
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f515,plain,
( sP41_prd
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f516,plain,
( sP42_prd
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f517,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f518,plain,
( op(e3,e0) != e3
| op(e3,e3) != e0
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f519,plain,
( ~ sP40_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f520,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP42_prd
| ~ sP41_prd
| op(e0,e1) != e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f523,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| ~ sP42_prd
| ~ sP41_prd
| op(e0,e1) != e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f524,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP38_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f486]) ).
fof(f525,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f526,plain,
( op(e0,e0) = e0
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f528,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP39_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f487]) ).
fof(f529,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f528]) ).
fof(f530,plain,
( op(e1,e1) = e0
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f528]) ).
fof(f531,plain,
( op(e1,e0) = e1
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f528]) ).
fof(f532,definition,
( sP43_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f533,definition,
( sP44_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f534,plain,
( sP40_prd
<=> ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP44_prd
& sP43_prd
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f508,f533,f532]) ).
fof(f535,plain,
( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP44_prd
| ~ sP43_prd
| op(e0,e0) != e0
| sP40_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP44_prd
& sP43_prd
& op(e0,e0) = e0 )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f534]) ).
fof(f536,plain,
( op(e0,e0) = e0
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f537,plain,
( sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f539,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f540,plain,
( op(e3,e0) != e3
| op(e3,e3) != e0
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f545,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP41_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f510]) ).
fof(f546,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f547,plain,
( op(e0,e0) = e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f549,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP42_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f511]) ).
fof(f550,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f551,plain,
( op(e1,e1) = e0
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f552,plain,
( op(e1,e0) = e1
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f553,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP43_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f532]) ).
fof(f554,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f553]) ).
fof(f555,plain,
( op(e0,e0) = e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f553]) ).
fof(f557,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP44_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f533]) ).
fof(f558,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f559,plain,
( op(e1,e1) = e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f560,plain,
( op(e1,e0) = e1
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f561,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f564,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f561,f564,f567,f570]) ).
fof(f574,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f574,f577,f580,f583]) ).
fof(f587,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f587,f590,f593,f596]) ).
fof(f600,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f603,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f600,f603,f606,f609]) ).
fof(f613,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f613,f616,f619,f622]) ).
fof(f626,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f626,f629,f632,f635]) ).
fof(f639,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f639,f642,f645,f648]) ).
fof(f652,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f652,f655,f658,f661]) ).
fof(f665,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f665,f668,f671,f674]) ).
fof(f678,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f678,f681,f684,f687]) ).
fof(f691,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f691,f694,f697,f700]) ).
fof(f704,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f704,f707,f710,f713]) ).
fof(f717,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f717,f720,f723,f726]) ).
fof(f730,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f730,f733,f736,f739]) ).
fof(f743,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f743,f746,f749,f752]) ).
fof(f756,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f756,f759,f762,f765]) ).
fof(f769,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f561,f574,f587,f600]) ).
fof(f770,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f561,f613,f665,f717]) ).
fof(f771,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f564,f577,f590,f603]) ).
fof(f772,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f564,f616,f668,f720]) ).
fof(f773,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f567,f580,f593,f606]) ).
fof(f774,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f567,f619,f671,f723]) ).
fof(f775,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f570,f583,f596,f609]) ).
fof(f776,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f570,f622,f674,f726]) ).
fof(f777,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f613,f626,f639,f652]) ).
fof(f778,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f574,f626,f678,f730]) ).
fof(f780,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f577,f629,f681,f733]) ).
fof(f781,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f619,f632,f645,f658]) ).
fof(f782,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f580,f632,f684,f736]) ).
fof(f783,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f622,f635,f648,f661]) ).
fof(f784,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f583,f635,f687,f739]) ).
fof(f785,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f665,f678,f691,f704]) ).
fof(f786,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f587,f639,f691,f743]) ).
fof(f787,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f668,f681,f694,f707]) ).
fof(f788,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f590,f642,f694,f746]) ).
fof(f789,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f671,f684,f697,f710]) ).
fof(f790,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f593,f645,f697,f749]) ).
fof(f791,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f674,f687,f700,f713]) ).
fof(f793,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f717,f730,f743,f756]) ).
fof(f794,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f600,f652,f704,f756]) ).
fof(f795,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f720,f733,f746,f759]) ).
fof(f796,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f603,f655,f707,f759]) ).
fof(f797,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f723,f736,f749,f762]) ).
fof(f798,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f606,f658,f710,f762]) ).
fof(f799,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f726,f739,f752,f765]) ).
fof(f800,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f609,f661,f713,f765]) ).
fof(f801,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f801,f765]) ).
fof(f805,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f801,f570,f600]) ).
fof(f806,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f801,f635,f655]) ).
fof(f807,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f801,f700,f710]) ).
fof(f808,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f801,f765]) ).
fof(f809,plain,
( sQ63_spl
| sQ42_spl
| sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f139,f561,f629,f697,f765]) ).
fof(f811,plain,
( sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f141,f564,f574]) ).
fof(f812,plain,
( sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f142,f567,f587]) ).
fof(f813,plain,
( sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f143,f570,f600]) ).
fof(f814,plain,
( sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f144,f626,f616]) ).
fof(f816,plain,
( sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f146,f632,f642]) ).
fof(f817,plain,
( sQ29_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f147,f635,f655]) ).
fof(f818,plain,
( sQ34_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f148,f691,f671]) ).
fof(f819,plain,
( sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f149,f694,f684]) ).
fof(f821,plain,
( sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f151,f700,f710]) ).
fof(f822,plain,
( sQ51_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f152,f756,f726]) ).
fof(f823,plain,
( sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f153,f759,f739]) ).
fof(f824,plain,
( sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f154,f762,f752]) ).
fof(f826,definition,
( sQ65_spl
<=> e1 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( sQ65_spl
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ66_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( sQ66_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f833,definition,
( sQ67_spl
<=> e1 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( sQ67_spl
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ68_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( sQ68_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f159,f691,f833,f836]) ).
fof(f840,definition,
( sQ69_spl
<=> e2 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ69_spl
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,definition,
( sQ70_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( sQ70_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f161,f756,f840,f843]) ).
fof(f847,definition,
( sQ71_spl
<=> e2 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( sQ71_spl
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,definition,
( sQ72_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( sQ72_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,plain,
( ~ sQ72_spl
| ~ sQ71_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f163,f626,f847,f850]) ).
fof(f857,definition,
( sQ74_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( sQ74_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f861,definition,
( sQ75_spl
<=> e3 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( sQ75_spl
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ76_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( sQ76_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( ~ sQ76_spl
| ~ sQ75_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f167,f626,f861,f864]) ).
fof(f868,definition,
( sQ77_spl
<=> e0 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( sQ77_spl
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ66_spl
| ~ sQ77_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f169,f759,f868,f829]) ).
fof(f872,definition,
( sQ78_spl
<=> e0 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( sQ78_spl
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f876,definition,
( sQ79_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( sQ79_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f880,definition,
( sQ80_spl
<=> e2 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( sQ80_spl
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ81_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( sQ81_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f175,f564,f880,f883]) ).
fof(f887,definition,
( sQ82_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( sQ82_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f891,definition,
( sQ83_spl
<=> e3 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( sQ83_spl
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,definition,
( sQ84_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( sQ84_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f179,f564,f891,f894]) ).
fof(f898,plain,
( ~ sQ70_spl
| ~ sQ77_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f181,f762,f868,f843]) ).
fof(f903,plain,
( ~ sQ79_spl
| ~ sQ65_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f185,f762,f826,f876]) ).
fof(f904,definition,
( sQ86_spl
<=> e1 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( sQ86_spl
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f908,definition,
( sQ87_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( sQ87_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f912,definition,
( sQ88_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( sQ88_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( ~ sQ88_spl
| ~ sQ83_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f191,f567,f891,f912]) ).
fof(f916,plain,
( ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f193,f700,f872,f857]) ).
fof(f918,plain,
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f197,f700,f833,f887]) ).
fof(f919,plain,
( ~ sQ84_spl
| ~ sQ86_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f199,f570,f904,f894]) ).
fof(f920,plain,
( ~ sQ87_spl
| ~ sQ71_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f201,f635,f847,f908]) ).
fof(f922,definition,
( sQ89_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( sQ58_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f210,f801,f922,f749]) ).
fof(f926,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( sQ90_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f211,f801,f922,f926]) ).
fof(f930,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( sQ91_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f212,f801,f922,f930]) ).
fof(f934,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f213,f801,f922,f700,f710]) ).
fof(f935,plain,
( ~ sQ63_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f214,f801,f922,f765]) ).
fof(f936,plain,
( ~ sQ89_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f215,f801,f922]) ).
fof(f941,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( sQ53_spl
| sQ92_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f226,f922,f941,f733]) ).
fof(f945,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( sQ93_spl
| sQ92_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f227,f922,f941,f945]) ).
fof(f949,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( sQ94_spl
| sQ92_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f228,f922,f941,f949]) ).
fof(f953,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ92_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f229,f922,f941,f700,f710]) ).
fof(f954,plain,
( ~ sQ63_spl
| sQ92_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f230,f922,f941,f765]) ).
fof(f955,plain,
( ~ sQ92_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f231,f922,f941]) ).
fof(f960,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f237,f926,f570,f600]) ).
fof(f961,plain,
( sQ3_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f238,f926,f570]) ).
fof(f962,plain,
( sQ12_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f239,f926,f600]) ).
fof(f963,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f241,f930,f635,f655]) ).
fof(f964,plain,
( sQ23_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f242,f930,f635]) ).
fof(f966,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( sQ48_spl
| sQ95_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f250,f941,f966,f717]) ).
fof(f970,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( sQ96_spl
| sQ95_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f251,f941,f966,f970]) ).
fof(f974,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( sQ97_spl
| sQ95_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f252,f941,f966,f974]) ).
fof(f978,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ95_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f253,f941,f966,f700,f710]) ).
fof(f979,plain,
( ~ sQ63_spl
| sQ95_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f254,f941,f966,f765]) ).
fof(f980,plain,
( ~ sQ95_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f255,f941,f966]) ).
fof(f981,plain,
( sQ63_spl
| sQ43_spl
| ~ sQ97_spl
| ~ sQ96_spl
| ~ sQ48_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f256,f941,f717,f970,f974,f700,f765]) ).
fof(f985,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f261,f945,f570,f600]) ).
fof(f986,plain,
( sQ3_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f262,f945,f570]) ).
fof(f987,plain,
( sQ12_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f263,f945,f600]) ).
fof(f988,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f265,f949,f635,f655]) ).
fof(f989,plain,
( sQ23_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f266,f949,f635]) ).
fof(f991,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( sQ47_spl
| sQ98_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f274,f966,f991,f713]) ).
fof(f995,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( sQ99_spl
| sQ98_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f275,f966,f991,f995]) ).
fof(f999,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1002,plain,
( sQ100_spl
| sQ98_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f276,f966,f991,f999]) ).
fof(f1003,plain,
( ~ sQ42_spl
| sQ98_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f277,f966,f991,f697]) ).
fof(f1004,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| sQ98_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f278,f966,f991,f762,f752]) ).
fof(f1005,plain,
( ~ sQ98_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f279,f966,f991]) ).
fof(f1006,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ47_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f280,f966,f713,f995,f999,f697,f762]) ).
fof(f1010,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f285,f970,f570,f600]) ).
fof(f1011,plain,
( sQ3_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f286,f970,f570]) ).
fof(f1012,plain,
( sQ12_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f287,f970,f600]) ).
fof(f1013,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f289,f974,f635,f655]) ).
fof(f1014,plain,
( sQ23_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f290,f974,f635]) ).
fof(f1016,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( sQ42_spl
| sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f298,f991,f1016,f697]) ).
fof(f1020,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1024,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( sQ103_spl
| sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f300,f991,f1016,f1024]) ).
fof(f1028,plain,
( ~ sQ42_spl
| sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f301,f991,f1016,f697]) ).
fof(f1029,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f302,f991,f1016,f762,f752]) ).
fof(f1030,plain,
( ~ sQ101_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f303,f991,f1016]) ).
fof(f1035,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f309,f995,f567,f587]) ).
fof(f1036,plain,
( sQ2_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f310,f995,f567]) ).
fof(f1037,plain,
( sQ8_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f311,f995,f587]) ).
fof(f1038,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f313,f999,f632,f642]) ).
fof(f1039,plain,
( sQ22_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f314,f999,f632]) ).
fof(f1041,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( sQ37_spl
| sQ104_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f322,f1016,f1041,f681]) ).
fof(f1045,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( sQ105_spl
| sQ104_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f323,f1016,f1041,f1045]) ).
fof(f1049,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( sQ106_spl
| sQ104_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f324,f1016,f1041,f1049]) ).
fof(f1053,plain,
( ~ sQ42_spl
| sQ104_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f325,f1016,f1041,f697]) ).
fof(f1054,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| sQ104_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f326,f1016,f1041,f762,f752]) ).
fof(f1055,plain,
( ~ sQ104_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f327,f1016,f1041]) ).
fof(f1056,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ106_spl
| ~ sQ105_spl
| ~ sQ37_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f328,f1016,f681,f1045,f1049,f697,f762]) ).
fof(f1060,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f333,f1020,f567,f587]) ).
fof(f1061,plain,
( sQ2_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f334,f1020,f567]) ).
fof(f1062,plain,
( sQ8_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f335,f1020,f587]) ).
fof(f1063,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f337,f1024,f632,f642]) ).
fof(f1064,plain,
( sQ22_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f338,f1024,f632]) ).
fof(f1066,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( sQ32_spl
| sQ107_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f346,f1041,f1066,f665]) ).
fof(f1070,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( sQ108_spl
| sQ107_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f347,f1041,f1066,f1070]) ).
fof(f1074,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( sQ109_spl
| sQ107_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f348,f1041,f1066,f1074]) ).
fof(f1078,plain,
( ~ sQ42_spl
| sQ107_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f349,f1041,f1066,f697]) ).
fof(f1080,plain,
( ~ sQ107_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f351,f1041,f1066]) ).
fof(f1081,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ32_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f352,f1041,f665,f1070,f1074,f697,f762]) ).
fof(f1085,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f357,f1045,f567,f587]) ).
fof(f1086,plain,
( sQ2_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f358,f1045,f567]) ).
fof(f1087,plain,
( sQ8_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f359,f1045,f587]) ).
fof(f1088,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f361,f1049,f632,f642]) ).
fof(f1089,plain,
( sQ22_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f362,f1049,f632]) ).
fof(f1091,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
( sQ31_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f370,f1066,f1091,f661]) ).
fof(f1095,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( sQ111_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f371,f1066,f1091,f1095]) ).
fof(f1099,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( sQ112_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f372,f1066,f1091,f1099]) ).
fof(f1103,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f373,f1066,f1091,f694,f684]) ).
fof(f1104,plain,
( ~ sQ55_spl
| ~ sQ61_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f374,f1066,f1091,f759,f739]) ).
fof(f1105,plain,
( ~ sQ110_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f375,f1066,f1091]) ).
fof(f1106,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ112_spl
| ~ sQ111_spl
| ~ sQ31_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f376,f1066,f661,f1095,f1099,f694,f759]) ).
fof(f1110,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f381,f1070,f567,f587]) ).
fof(f1111,plain,
( sQ2_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f382,f1070,f567]) ).
fof(f1112,plain,
( sQ8_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f383,f1070,f587]) ).
fof(f1113,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f385,f1074,f632,f642]) ).
fof(f1114,plain,
( sQ22_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f386,f1074,f632]) ).
fof(f1116,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( sQ26_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f394,f1091,f1116,f645]) ).
fof(f1120,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( sQ114_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f395,f1091,f1116,f1120]) ).
fof(f1124,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( sQ115_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f396,f1091,f1116,f1124]) ).
fof(f1128,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f397,f1091,f1116,f694,f684]) ).
fof(f1129,plain,
( ~ sQ55_spl
| ~ sQ61_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f398,f1091,f1116,f759,f739]) ).
fof(f1130,plain,
( ~ sQ113_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f399,f1091,f1116]) ).
fof(f1131,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ115_spl
| ~ sQ114_spl
| ~ sQ26_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f400,f1091,f645,f1120,f1124,f694,f759]) ).
fof(f1132,plain,
( sQ55_spl
| sQ41_spl
| ~ sQ115_spl
| ~ sQ114_spl
| ~ sQ26_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f401,f1091,f645,f1120,f1124,f694,f739]) ).
fof(f1135,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f405,f1095,f564,f574]) ).
fof(f1136,plain,
( sQ1_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f406,f1095,f564]) ).
fof(f1137,plain,
( sQ4_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f407,f1095,f574]) ).
fof(f1138,plain,
( ~ sQ21_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f409,f1099,f629]) ).
fof(f1139,plain,
( sQ21_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f410,f1099,f629]) ).
fof(f1141,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ21_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f418,f1116,f1141,f629]) ).
fof(f1145,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( sQ117_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f419,f1116,f1141,f1145]) ).
fof(f1149,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( sQ118_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f420,f1116,f1141,f1149]) ).
fof(f1154,plain,
( ~ sQ55_spl
| ~ sQ61_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f422,f1116,f1141,f759,f739]) ).
fof(f1155,plain,
( ~ sQ116_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f423,f1116,f1141]) ).
fof(f1160,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f429,f1120,f564,f574]) ).
fof(f1161,plain,
( sQ1_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f430,f1120,f564]) ).
fof(f1162,plain,
( sQ4_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f431,f1120,f574]) ).
fof(f1163,plain,
( ~ sQ21_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f433,f1124,f629]) ).
fof(f1164,plain,
( sQ21_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f434,f1124,f629]) ).
fof(f1166,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( sQ16_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f442,f1141,f1166,f613]) ).
fof(f1170,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( sQ120_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f443,f1141,f1166,f1170]) ).
fof(f1174,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( sQ121_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f444,f1141,f1166,f1174]) ).
fof(f1178,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f445,f1141,f1166,f694,f684]) ).
fof(f1179,plain,
( ~ sQ55_spl
| ~ sQ61_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f446,f1141,f1166,f759,f739]) ).
fof(f1180,plain,
( ~ sQ119_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f447,f1141,f1166]) ).
fof(f1181,plain,
( sQ61_spl
| sQ41_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ16_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f448,f1141,f613,f1170,f1174,f694,f759]) ).
fof(f1185,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f453,f1145,f564,f574]) ).
fof(f1186,plain,
( sQ1_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f454,f1145,f564]) ).
fof(f1187,plain,
( sQ4_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f455,f1145,f574]) ).
fof(f1188,plain,
( ~ sQ21_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f457,f1149,f629]) ).
fof(f1189,plain,
( sQ21_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f458,f1149,f629]) ).
fof(f1191,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( sQ15_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f466,f1166,f1191,f609]) ).
fof(f1195,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1198,plain,
( sQ123_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f467,f1166,f1191,f1195]) ).
fof(f1199,definition,
( sQ124_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( sQ124_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f468,f1166,f1191,f1199]) ).
fof(f1203,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f469,f1166,f1191,f691,f671]) ).
fof(f1204,plain,
( ~ sQ51_spl
| ~ sQ60_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f470,f1166,f1191,f756,f726]) ).
fof(f1205,plain,
( ~ sQ122_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f471,f1166,f1191]) ).
fof(f1206,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ124_spl
| ~ sQ123_spl
| ~ sQ15_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f472,f1166,f609,f1195,f1199,f691,f756]) ).
fof(f1210,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f477,f1170,f564,f574]) ).
fof(f1211,plain,
( sQ1_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f478,f1170,f564]) ).
fof(f1212,plain,
( sQ4_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f479,f1170,f574]) ).
fof(f1213,plain,
( ~ sQ21_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f481,f1174,f629]) ).
fof(f1214,plain,
( sQ21_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f482,f1174,f629]) ).
fof(f1216,definition,
( sQ125_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( sQ10_spl
| sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f490,f1191,f1216,f593]) ).
fof(f1220,definition,
( sQ126_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( sQ126_spl
| sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f491,f1191,f1216,f1220]) ).
fof(f1224,definition,
( sQ127_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( sQ127_spl
| sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f492,f1191,f1216,f1224]) ).
fof(f1228,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f493,f1191,f1216,f691,f671]) ).
fof(f1229,plain,
( ~ sQ51_spl
| ~ sQ60_spl
| sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f494,f1191,f1216,f756,f726]) ).
fof(f1230,plain,
( ~ sQ125_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f495,f1191,f1216]) ).
fof(f1231,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ127_spl
| ~ sQ126_spl
| ~ sQ10_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f496,f1191,f593,f1220,f1224,f691,f756]) ).
fof(f1235,plain,
( ~ sQ0_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f501,f1195,f561]) ).
fof(f1236,plain,
( sQ0_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f502,f1195,f561]) ).
fof(f1238,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f505,f1199,f626,f616]) ).
fof(f1239,plain,
( sQ20_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f506,f1199,f626]) ).
fof(f1240,plain,
( sQ17_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f507,f1199,f616]) ).
fof(f1241,definition,
( sQ128_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( sQ5_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f514,f1216,f1241,f577]) ).
fof(f1245,definition,
( sQ129_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1248,plain,
( sQ129_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f515,f1216,f1241,f1245]) ).
fof(f1249,definition,
( sQ130_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( sQ130_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f516,f1216,f1241,f1249]) ).
fof(f1253,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f517,f1216,f1241,f691,f671]) ).
fof(f1254,plain,
( ~ sQ51_spl
| ~ sQ60_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f518,f1216,f1241,f756,f726]) ).
fof(f1255,plain,
( ~ sQ128_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f519,f1216,f1241]) ).
fof(f1256,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ130_spl
| ~ sQ129_spl
| ~ sQ5_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f520,f1216,f577,f1245,f1249,f691,f756]) ).
fof(f1259,plain,
( sQ51_spl
| sQ34_spl
| ~ sQ130_spl
| ~ sQ129_spl
| ~ sQ5_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f523,f1216,f577,f1245,f1249,f671,f726]) ).
fof(f1260,plain,
( ~ sQ0_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f525,f1220,f561]) ).
fof(f1261,plain,
( sQ0_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f526,f1220,f561]) ).
fof(f1263,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f529,f1224,f626,f616]) ).
fof(f1264,plain,
( sQ20_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f530,f1224,f626]) ).
fof(f1265,plain,
( sQ17_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f531,f1224,f616]) ).
fof(f1266,plain,
( sQ0_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f536,f1241,f561]) ).
fof(f1267,definition,
( sQ131_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( sQ131_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f537,f1241,f1267]) ).
fof(f1271,definition,
( sQ132_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f539,f1241,f691,f671]) ).
fof(f1276,plain,
( ~ sQ51_spl
| ~ sQ60_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f540,f1241,f756,f726]) ).
fof(f1281,plain,
( ~ sQ0_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f546,f1245,f561]) ).
fof(f1282,plain,
( sQ0_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f547,f1245,f561]) ).
fof(f1284,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f550,f1249,f626,f616]) ).
fof(f1285,plain,
( sQ20_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f551,f1249,f626]) ).
fof(f1286,plain,
( sQ17_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f552,f1249,f616]) ).
fof(f1287,plain,
( ~ sQ0_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f554,f1267,f561]) ).
fof(f1288,plain,
( sQ0_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f555,f1267,f561]) ).
fof(f1290,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f558,f1271,f626,f616]) ).
fof(f1291,plain,
( sQ20_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f559,f1271,f626]) ).
fof(f1292,plain,
( sQ17_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f560,f1271,f616]) ).
fof(f1293,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f737,f86]) ).
fof(f1294,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f724,f83]) ).
fof(f1295,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f724,f82]) ).
fof(f1296,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f724,f80]) ).
fof(f1297,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f607,f604]) ).
fof(f1298,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1297,f129]) ).
fof(f1299,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f737,f88]) ).
fof(f1301,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f750,f747]) ).
fof(f1302,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1301,f129]) ).
fof(f1303,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1302]) ).
fof(f1305,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f737,f734]) ).
fof(f1306,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f129]) ).
fof(f1307,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f724,f718]) ).
fof(f1309,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1308,f127]) ).
fof(f1310,plain,
( ~ sQ48_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1309]) ).
fof(f1311,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f705,f708]) ).
fof(f1312,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f126]) ).
fof(f1313,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f659,f653]) ).
fof(f1315,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1314,f127]) ).
fof(f1316,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1317,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f744,f92]) ).
fof(f1318,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f731,f89]) ).
fof(f1319,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f649,f90]) ).
fof(f1320,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f597,f91]) ).
fof(f1321,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f688,f87]) ).
fof(f1322,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f688,f85]) ).
fof(f1324,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f675,f81]) ).
fof(f1326,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f597,f591]) ).
fof(f1327,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1326,f130]) ).
fof(f1328,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1327]) ).
fof(f1329,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f675,f669]) ).
fof(f1330,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1329,f130]) ).
fof(f1331,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1330]) ).
fof(f1332,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f649,f640]) ).
fof(f1333,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1332,f128]) ).
fof(f1334,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1333]) ).
fof(f1335,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f688,f679]) ).
fof(f1336,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f128]) ).
fof(f1337,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1336]) ).
fof(f1339,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f744,f94]) ).
fof(f1341,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f584,f84]) ).
fof(f1342,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f623,f78]) ).
fof(f1343,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1342,f570,f622]) ).
fof(f1344,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f581,f584]) ).
fof(f1345,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1344,f131]) ).
fof(f1346,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1347,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f620,f623]) ).
fof(f1348,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1347,f131]) ).
fof(f1349,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1348]) ).
fof(f1352,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f740,f731]) ).
fof(f1353,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1352,f128]) ).
fof(f1354,plain,
( ~ sQ52_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1357,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f698,f695]) ).
fof(f1358,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1357,f129]) ).
fof(f1359,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1358]) ).
fof(f1360,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f685,f89]) ).
fof(f1361,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f753,f744]) ).
fof(f1362,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1361,f128]) ).
fof(f1363,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1362]) ).
fof(f1364,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1320,f700,f596]) ).
fof(f1366,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f575,f84]) ).
fof(f1367,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f643,f94]) ).
fof(f1370,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f575,f102]) ).
fof(f1372,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f565,f103]) ).
fof(f1375,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e2 = e1 ),
inference(backward_demodulation,[status(thm)],[f568,f565]) ).
fof(f1376,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1375,f129]) ).
fof(f1377,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1376]) ).
fof(f1378,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f633,f630]) ).
fof(f1379,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f129]) ).
fof(f1380,plain,
( ~ sQ21_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1382,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f575,f578]) ).
fof(f1383,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1382,f126]) ).
fof(f1384,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1383]) ).
fof(f1385,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f685,f679]) ).
fof(f1386,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1385,f127]) ).
fof(f1387,plain,
( ~ sQ36_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1386]) ).
fof(f1388,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f588,f103]) ).
fof(f1389,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1366,f626,f574]) ).
fof(f1390,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1370,f561,f574]) ).
fof(f1391,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1324,f622,f674]) ).
fof(f1392,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1321,f635,f687]) ).
fof(f1393,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1322,f583,f687]) ).
fof(f1394,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1295,f619,f723]) ).
fof(f1395,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1341,f635,f583]) ).
fof(f1396,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f588,f105]) ).
fof(f1397,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f588,f107]) ).
fof(f1398,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f643,f109]) ).
fof(f1400,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f643,f111]) ).
fof(f1404,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f630,f1400]) ).
fof(f1405,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1404]) ).
fof(f1406,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f753,f94]) ).
fof(f1407,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f588,f591]) ).
fof(f1408,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1407,f126]) ).
fof(f1409,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1408]) ).
fof(f1410,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1372,f590,f564]) ).
fof(f1411,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f753,f92]) ).
fof(f1412,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1398,f616,f642]) ).
fof(f1413,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1388,f561,f587]) ).
fof(f1414,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1397,f600,f587]) ).
fof(f1416,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1293,f580,f736]) ).
fof(f1418,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f682,f118]) ).
fof(f1419,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f682,f117]) ).
fof(f1420,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f682,f114]) ).
fof(f1421,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f672,f116]) ).
fof(f1422,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f672,f115]) ).
fof(f1423,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1422,f697,f671]) ).
fof(f1426,plain,
( ~ sQ59_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f753,f121]) ).
fof(f1427,plain,
( ~ sQ51_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f1426]) ).
fof(f1428,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1427]) ).
fof(f1429,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1367,f746,f642]) ).
fof(f1430,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f721,f122]) ).
fof(f1431,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f721,f120]) ).
fof(f1432,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f643,f113]) ).
fof(f1433,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1432,f655,f642]) ).
fof(f1434,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1360,f736,f684]) ).
fof(f1437,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f721,f83]) ).
fof(f1438,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f721,f82]) ).
fof(f1443,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f578,f86]) ).
fof(f1444,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f578,f106]) ).
fof(f1446,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f766,f124]) ).
fof(f1447,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f766,f101]) ).
fof(f1448,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f766,f100]) ).
fof(f1449,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f766,f98]) ).
fof(f1450,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1446,f739,f765]) ).
fof(f1451,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1447,f713,f765]) ).
fof(f1455,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f666,f81]) ).
fof(f1458,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f698,f119]) ).
fof(f1461,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f714,f99]) ).
fof(f1462,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f714,f97]) ).
fof(f1466,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f666,f79]) ).
fof(f1470,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f630,f88]) ).
fof(f1471,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f630,f112]) ).
fof(f1472,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f630,f108]) ).
fof(f1473,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1471,f655,f629]) ).
fof(f1483,plain,
( ~ sQ61_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f1430]) ).
fof(f1484,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f1485,plain,
( ~ sQ17_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f1438]) ).
fof(f1486,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1485]) ).
fof(f1488,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f698,f701]) ).
fof(f1489,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1488,f131]) ).
fof(f1490,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1489]) ).
fof(f1491,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f666,f669]) ).
fof(f1492,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1491,f126]) ).
fof(f1493,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1492]) ).
fof(f1494,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1444,f603,f577]) ).
fof(f1495,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1437,f668,f720]) ).
fof(f1496,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1418,f707,f681]) ).
fof(f1497,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1466,f561,f665]) ).
fof(f1498,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f620,f78]) ).
fof(f1500,plain,
( ~ sQ18_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f620,f110]) ).
fof(f1501,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f750,f95]) ).
fof(f1502,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f750,f123]) ).
fof(f1503,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1501,f697,f749]) ).
fof(f1505,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1443,f733,f577]) ).
fof(f1506,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1472,f616,f629]) ).
fof(f1507,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f620,f617]) ).
fof(f1508,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1507,f129]) ).
fof(f1509,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1508]) ).
fof(f1510,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1319,f596,f648]) ).
fof(f1513,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f740,f89]) ).
fof(f1517,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f698,f93]) ).
fof(f1518,plain,
( ~ sQ42_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f698,f117]) ).
fof(f1525,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f568,f103]) ).
fof(f1526,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f568,f102]) ).
fof(f1527,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f568,f104]) ).
fof(f1528,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1527,f606,f567]) ).
fof(f1529,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1318,f678,f730]) ).
fof(f1530,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1300,f632,f736]) ).
fof(f1532,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f578,f105]) ).
fof(f1533,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f578,f84]) ).
fof(f1534,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f578,f85]) ).
fof(f1537,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f679,f114]) ).
fof(f1538,plain,
( ~ sQ36_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f679,f118]) ).
fof(f1539,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f679,f87]) ).
fof(f1540,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1539,f626,f678]) ).
fof(f1541,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1396,f574,f587]) ).
fof(f1542,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1420,f668,f681]) ).
fof(f1543,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1534,f681,f577]) ).
fof(f1544,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1317,f587,f743]) ).
fof(f1545,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1296,f567,f723]) ).
fof(f1546,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1538,f704,f678]) ).
fof(f1547,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1500,f658,f619]) ).
fof(f1550,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f747,f125]) ).
fof(f1552,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f747,f92]) ).
fof(f1553,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f747,f121]) ).
fof(f1554,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1552,f590,f746]) ).
fof(f1555,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1553,f720,f746]) ).
fof(f1561,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f698,f91]) ).
fof(f1565,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f705,f99]) ).
fof(f1566,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f705,f101]) ).
fof(f1567,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f705,f116]) ).
fof(f1569,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f718,f122]) ).
fof(f1570,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f718,f83]) ).
fof(f1571,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f718,f82]) ).
fof(f1572,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f718,f80]) ).
fof(f1574,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f731,f86]) ).
fof(f1578,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f718,f120]) ).
fof(f1579,plain,
( ~ sQ48_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f731,f1578]) ).
fof(f1580,plain,
( ~ sQ48_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1579]) ).
fof(f1581,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1580]) ).
fof(f1582,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f747,f95]) ).
fof(f1583,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f747,f123]) ).
fof(f1585,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f669,f81]) ).
fof(f1586,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f669,f79]) ).
fof(f1587,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1586,f564,f668]) ).
fof(f1591,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f714,f705]) ).
fof(f1592,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f128]) ).
fof(f1593,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1592]) ).
fof(f1595,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f757,f98]) ).
fof(f1596,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f757,f100]) ).
fof(f1599,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f649,f93]) ).
fof(f1608,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f575,f106]) ).
fof(f1610,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f614,f110]) ).
fof(f1611,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f614,f78]) ).
fof(f1612,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f614,f108]) ).
fof(f1615,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f675,f115]) ).
fof(f1617,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f672,f675]) ).
fof(f1618,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1617,f131]) ).
fof(f1619,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1618]) ).
fof(f1620,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1533,f629,f577]) ).
fof(f1622,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f711,f1458]) ).
fof(f1623,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1622]) ).
fof(f1624,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1626,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1339,f639,f743]) ).
fof(f1628,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1610,f652,f613]) ).
fof(f1629,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1455,f613,f665]) ).
fof(f1630,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1526,f580,f567]) ).
fof(f1631,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1517,f645,f697]) ).
fof(f1632,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1406,f648,f752]) ).
fof(f1633,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1550,f759,f746]) ).
fof(f1634,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1570,f665,f717]) ).
fof(f1635,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1565,f652,f704]) ).
fof(f1636,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1567,f665,f704]) ).
fof(f1641,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f705,f97]) ).
fof(f1646,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1641,f600,f704]) ).
fof(f1647,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1421,f710,f671]) ).
fof(f1648,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1595,f600,f756]) ).
fof(f1649,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1611,f561,f613]) ).
fof(f1650,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1502,f736,f749]) ).
fof(f1657,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f701,f117]) ).
fof(f1661,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f636,f112]) ).
fof(f1687,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f711,f708]) ).
fof(f1688,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1687,f129]) ).
fof(f1689,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1691,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1572,f561,f717]) ).
fof(f1703,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f675,f79]) ).
fof(f1708,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f727,f721]) ).
fof(f1709,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1708,f130]) ).
fof(f1710,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1709]) ).
fof(f1711,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1498,f567,f619]) ).
fof(f1713,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1582,f694,f746]) ).
fof(f1714,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1294,f671,f723]) ).
fof(f1715,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1574,f574,f730]) ).
fof(f1716,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1608,f600,f574]) ).
fof(f1717,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1703,f570,f674]) ).
fof(f1719,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1657,f687,f700]) ).
fof(f1720,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1612,f626,f613]) ).
fof(f1721,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1566,f756,f704]) ).
fof(f1722,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1585,f616,f668]) ).
fof(f1745,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f666,f115]) ).
fof(f1747,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f646,f113]) ).
fof(f1768,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f750,f125]) ).
fof(f1770,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1768,f762,f749]) ).
fof(f1771,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1513,f687,f739]) ).
fof(f1773,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1596,f652,f756]) ).
fof(f1774,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1561,f593,f697]) ).
fof(f1775,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1518,f684,f697]) ).
fof(f1778,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f685,f688]) ).
fof(f1779,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1778,f131]) ).
fof(f1780,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1779]) ).
fof(f1781,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1470,f733,f629]) ).
fof(f1782,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1583,f733,f746]) ).
fof(f1783,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1537,f665,f678]) ).
fof(f1784,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1449,f609,f765]) ).
fof(f1785,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1615,f700,f674]) ).
fof(f1786,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1599,f700,f648]) ).
fof(f1788,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1462,f609,f713]) ).
fof(f1793,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f685,f118]) ).
fof(f1798,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f695,f119]) ).
fof(f1799,plain,
( ~ sQ41_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f695,f91]) ).
fof(f1804,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f646,f90]) ).
fof(f1812,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f740,f86]) ).
fof(f1819,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f630,f87]) ).
fof(f1830,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f760,f98]) ).
fof(f1844,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f620,f614]) ).
fof(f1845,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1844,f127]) ).
fof(f1846,plain,
( ~ sQ16_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1845]) ).
fof(f1848,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1745,f691,f665]) ).
fof(f1850,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1819,f681,f629]) ).
fof(f1851,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f575,f85]) ).
fof(f1852,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1804,f593,f645]) ).
fof(f1853,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f646,f640]) ).
fof(f1854,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1853,f127]) ).
fof(f1855,plain,
( ~ sQ24_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1854]) ).
fof(f1862,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f565,f893]) ).
fof(f1864,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f565,f104]) ).
fof(f1879,plain,
( sQ84_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f565,f896]) ).
fof(f1887,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f623,f82]) ).
fof(f1888,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f727,f1887]) ).
fof(f1889,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1888]) ).
fof(f1890,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1889]) ).
fof(f1892,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f740,f734]) ).
fof(f1893,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1892,f130]) ).
fof(f1894,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1893]) ).
fof(f1896,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1851,f678,f574]) ).
fof(f1897,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f1864]) ).
fof(f1898,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1897]) ).
fof(f1899,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1532,f590,f577]) ).
fof(f1900,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1747,f658,f645]) ).
fof(f1901,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1799,f590,f694]) ).
fof(f1902,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1431,f733,f720]) ).
fof(f1918,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f685,f114]) ).
fof(f1927,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f646,f94]) ).
fof(f1928,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1927,f749,f645]) ).
fof(f1929,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1793,f710,f684]) ).
fof(f1930,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1879,f619,f564,f894]) ).
fof(f1931,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1461,f661,f713]) ).
fof(f1932,plain,
( ~ sQ7_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f1812]) ).
fof(f1933,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1932]) ).
fof(f1936,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f640,f93]) ).
fof(f1938,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f734,f89]) ).
fof(f1964,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f763,f122]) ).
fof(f1966,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1964,f723,f762]) ).
fof(f1970,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f610,f96]) ).
fof(f1973,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f724,f121]) ).
fof(f1975,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1973,f749,f723]) ).
fof(f1976,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1936,f691,f639]) ).
fof(f1977,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1970,f661,f609]) ).
fof(f1978,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1661,f661,f635]) ).
fof(f1979,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1448,f661,f765]) ).
fof(f2096,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f740,f123]) ).
fof(f2122,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f565,f78]) ).
fof(f2129,plain,
( sQ80_spl
| ~ sQ1_spl
| e2 != op(op(e1,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f565,f882]) ).
fof(f2130,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f623,f2129]) ).
fof(f2131,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f724,f2130]) ).
fof(f2132,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2131]) ).
fof(f2133,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2132]) ).
fof(f2134,plain,
( sQ81_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f565,f885]) ).
fof(f2135,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f623,f2134]) ).
fof(f2136,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2135]) ).
fof(f2137,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2136]) ).
fof(f2147,plain,
( sQ71_spl
| ~ sQ23_spl
| e2 != op(op(e3,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f636,f849]) ).
fof(f2159,plain,
( sQ86_spl
| ~ sQ3_spl
| e1 != op(op(e3,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f571,f906]) ).
fof(f2245,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f571,f80]) ).
fof(f2259,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f581,f105]) ).
fof(f2265,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f581,f85]) ).
fof(f2267,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f711,f101]) ).
fof(f2271,plain,
( ~ sQ29_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f656,f99]) ).
fof(f2292,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f701,f95]) ).
fof(f2294,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f731,f2147]) ).
fof(f2295,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f581,f2294]) ).
fof(f2296,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2295]) ).
fof(f2297,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2298,plain,
( sQ87_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f636,f910]) ).
fof(f2299,plain,
( sQ87_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f731,f2298]) ).
fof(f2300,plain,
( sQ87_spl
| ~ sQ23_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2299]) ).
fof(f2301,plain,
( sQ87_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2300]) ).
fof(f2302,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2122,f616,f564]) ).
fof(f2311,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2271,f707,f655]) ).
fof(f2314,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1798,f707,f694]) ).
fof(f2411,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f604,f97]) ).
fof(f2419,plain,
( sQ83_spl
| ~ sQ2_spl
| e3 != op(op(e2,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f568,f893]) ).
fof(f2420,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f669,f2419]) ).
fof(f2421,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ33_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f623,f2420]) ).
fof(f2422,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ33_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2421]) ).
fof(f2423,plain,
( sQ83_spl
| ~ sQ2_spl
| ~ sQ33_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2422]) ).
fof(f2428,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2292,f752,f700]) ).
fof(f2448,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2267,f762,f710]) ).
fof(f2452,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f763,f766]) ).
fof(f2453,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2452,f131]) ).
fof(f2454,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2453]) ).
fof(f2455,plain,
( sQ88_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f568,f914]) ).
fof(f2457,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1569,f756,f717]) ).
fof(f2458,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1571,f613,f717]) ).
fof(f2460,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1918,f671,f684]) ).
fof(f2461,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2096,f752,f739]) ).
fof(f2463,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1411,f596,f752]) ).
fof(f2663,plain,
( sQ67_spl
| ~ sQ40_spl
| e1 != op(op(e0,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f692,f835]) ).
fof(f2666,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f597,f2663]) ).
fof(f2667,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f747,f2666]) ).
fof(f2668,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2667]) ).
fof(f2669,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2668]) ).
fof(f2670,plain,
( sQ68_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f692,f838]) ).
fof(f2671,plain,
( sQ68_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f597,f2670]) ).
fof(f2672,plain,
( sQ68_spl
| ~ sQ40_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2671]) ).
fof(f2673,plain,
( sQ68_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2672]) ).
fof(f2682,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2245,f726,f570]) ).
fof(f2686,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f672,f669]) ).
fof(f2687,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2686,f129]) ).
fof(f2688,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2687]) ).
fof(f2820,plain,
( sQ72_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f627,f852]) ).
fof(f2822,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(op(e0,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f627,f863]) ).
fof(f2823,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f581,f2822]) ).
fof(f2824,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f688,f2823]) ).
fof(f2825,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2824]) ).
fof(f2826,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2825]) ).
fof(f2827,plain,
( sQ76_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f627,f866]) ).
fof(f2828,plain,
( sQ76_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f581,f2827]) ).
fof(f2829,plain,
( sQ76_spl
| ~ sQ20_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2828]) ).
fof(f2830,plain,
( sQ76_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2829]) ).
fof(f2840,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2820,f583,f626,f850]) ).
fof(f2860,plain,
( sQ69_spl
| ~ sQ60_spl
| e2 != op(op(e0,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f757,f842]) ).
fof(f2894,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f604,f2860]) ).
fof(f2896,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2894,f658,f603,f756,f840]) ).
fof(f2898,plain,
( sQ70_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f757,f845]) ).
fof(f2899,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f604,f2898]) ).
fof(f2900,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2899]) ).
fof(f2901,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2900]) ).
fof(f2909,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1525,f593,f567]) ).
fof(f2912,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f594,f92]) ).
fof(f2923,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f594,f588]) ).
fof(f2924,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2923,f127]) ).
fof(f2925,plain,
( ~ sQ8_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2924]) ).
fof(f2930,plain,
( sQ78_spl
| ~ sQ43_spl
| e0 != op(op(e3,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f701,f874]) ).
fof(f2935,plain,
( sQ82_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f701,f889]) ).
fof(f3006,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f669,f116]) ).
fof(f3042,plain,
( ~ sQ56_spl
| sQ82_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f2935]) ).
fof(f3043,plain,
( ~ sQ56_spl
| sQ82_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3042]) ).
fof(f3093,plain,
( sQ86_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f724,f2159]) ).
fof(f3094,plain,
( sQ86_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f669,f3093]) ).
fof(f3095,plain,
( sQ86_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3094]) ).
fof(f3096,plain,
( sQ86_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3095]) ).
fof(f3099,plain,
( sQ84_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f571,f896]) ).
fof(f3100,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f724,f3099]) ).
fof(f3101,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3100]) ).
fof(f3102,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f3101]) ).
fof(f3137,plain,
( sQ65_spl
| ~ sQ62_spl
| e1 != op(op(e2,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f763,f828]) ).
fof(f3138,plain,
( sQ65_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f705,f3137]) ).
fof(f3168,plain,
( ~ sQ13_spl
| sQ65_spl
| ~ sQ62_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f3138]) ).
fof(f3169,plain,
( ~ sQ13_spl
| sQ65_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3168]) ).
fof(f3170,plain,
( sQ79_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f763,f878]) ).
fof(f3171,plain,
( sQ79_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f705,f3170]) ).
fof(f3172,plain,
( sQ79_spl
| ~ sQ62_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3171]) ).
fof(f3173,plain,
( sQ79_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3172]) ).
fof(f3177,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1938,f681,f733]) ).
fof(f3353,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f620,f1862]) ).
fof(f3354,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f675,f3353]) ).
fof(f3355,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3354]) ).
fof(f3356,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3355]) ).
fof(f3429,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f747,f2930]) ).
fof(f3430,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f640,f3429]) ).
fof(f3431,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3430]) ).
fof(f3432,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f3431]) ).
fof(f3435,plain,
( sQ74_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f701,f859]) ).
fof(f3436,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f747,f3435]) ).
fof(f3437,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3436]) ).
fof(f3438,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f3437]) ).
fof(f3439,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2912,f749,f593]) ).
fof(f3445,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f594,f591]) ).
fof(f3446,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3445,f129]) ).
fof(f3447,plain,
( ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f3446]) ).
fof(f3448,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3006,f707,f668]) ).
fof(f3450,plain,
( sQ88_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2455,f668,f567,f912]) ).
fof(f3459,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2411,f707,f603]) ).
fof(f3463,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1419,f694,f681]) ).
fof(f3466,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2265,f684,f580]) ).
fof(f3467,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2259,f593,f580]) ).
fof(f3470,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1830,f603,f759]) ).
fof(f3595,plain,
( sQ77_spl
| ~ sQ62_spl
| e0 != op(op(e2,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f763,f870]) ).
fof(f3596,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f708,f3595]) ).
fof(f3597,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f653,f3596]) ).
fof(f3598,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3597]) ).
fof(f3599,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f3598]) ).
fof(f3602,plain,
( sQ70_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f763,f845]) ).
fof(f3603,plain,
( sQ70_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f708,f3602]) ).
fof(f3604,plain,
( sQ70_spl
| ~ sQ62_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3603]) ).
fof(f3605,plain,
( sQ70_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3604]) ).
fof(f3706,plain,
( sQ66_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f760,f831]) ).
fof(f3710,plain,
( sQ66_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3706,f658,f759,f829]) ).
fof(f3712,plain,
( sQ77_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f760,f870]) ).
fof(f3713,plain,
( sQ77_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f659,f3712]) ).
fof(f3714,plain,
( sQ77_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f705,f3713]) ).
fof(f3715,plain,
( sQ77_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3714]) ).
fof(f3716,plain,
( sQ77_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3715]) ).
fof(f3717,plain,
$false,
inference(sat_refutation,[status(thm)],[f573,f586,f599,f612,f625,f638,f651,f664,f677,f690,f703,f716,f729,f742,f755,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f793,f794,f795,f796,f797,f798,f799,f800,f804,f805,f806,f807,f808,f809,f811,f812,f813,f814,f816,f817,f818,f819,f821,f822,f823,f824,f839,f846,f853,f867,f871,f886,f897,f898,f903,f915,f916,f918,f919,f920,f925,f929,f933,f934,f935,f936,f944,f948,f952,f953,f954,f955,f960,f961,f962,f963,f964,f969,f973,f977,f978,f979,f980,f981,f985,f986,f987,f988,f989,f994,f998,f1002,f1003,f1004,f1005,f1006,f1010,f1011,f1012,f1013,f1014,f1019,f1027,f1028,f1029,f1030,f1035,f1036,f1037,f1038,f1039,f1044,f1048,f1052,f1053,f1054,f1055,f1056,f1060,f1061,f1062,f1063,f1064,f1069,f1073,f1077,f1078,f1080,f1081,f1085,f1086,f1087,f1088,f1089,f1094,f1098,f1102,f1103,f1104,f1105,f1106,f1110,f1111,f1112,f1113,f1114,f1119,f1123,f1127,f1128,f1129,f1130,f1131,f1132,f1135,f1136,f1137,f1138,f1139,f1144,f1148,f1152,f1154,f1155,f1160,f1161,f1162,f1163,f1164,f1169,f1173,f1177,f1178,f1179,f1180,f1181,f1185,f1186,f1187,f1188,f1189,f1194,f1198,f1202,f1203,f1204,f1205,f1206,f1210,f1211,f1212,f1213,f1214,f1219,f1223,f1227,f1228,f1229,f1230,f1231,f1235,f1236,f1238,f1239,f1240,f1244,f1248,f1252,f1253,f1254,f1255,f1256,f1259,f1260,f1261,f1263,f1264,f1265,f1266,f1270,f1275,f1276,f1281,f1282,f1284,f1285,f1286,f1287,f1288,f1290,f1291,f1292,f1299,f1303,f1307,f1310,f1313,f1316,f1328,f1331,f1334,f1337,f1343,f1346,f1349,f1354,f1359,f1363,f1364,f1377,f1380,f1384,f1387,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1405,f1409,f1410,f1412,f1413,f1414,f1416,f1423,f1428,f1429,f1433,f1434,f1450,f1451,f1473,f1484,f1486,f1490,f1493,f1494,f1495,f1496,f1497,f1503,f1505,f1506,f1509,f1510,f1528,f1529,f1530,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1554,f1555,f1581,f1587,f1593,f1619,f1620,f1624,f1626,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1646,f1647,f1648,f1649,f1650,f1689,f1691,f1710,f1711,f1713,f1714,f1715,f1716,f1717,f1719,f1720,f1721,f1722,f1770,f1771,f1773,f1774,f1775,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1788,f1846,f1848,f1850,f1852,f1855,f1890,f1894,f1896,f1898,f1899,f1900,f1901,f1902,f1928,f1929,f1930,f1931,f1933,f1966,f1975,f1976,f1977,f1978,f1979,f2133,f2137,f2297,f2301,f2302,f2311,f2314,f2423,f2428,f2448,f2454,f2457,f2458,f2460,f2461,f2463,f2669,f2673,f2682,f2688,f2826,f2830,f2840,f2896,f2901,f2909,f2925,f3043,f3096,f3102,f3169,f3173,f3177,f3356,f3432,f3438,f3439,f3447,f3448,f3450,f3459,f3463,f3466,f3467,f3470,f3599,f3605,f3710,f3716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG148+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 13:00:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.50 % Refutation found
% 0.10/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.53 % Elapsed time: 0.152755 seconds
% 0.18/0.53 % CPU time: 0.876733 seconds
% 0.18/0.53 % Total memory used: 29.384 MB
% 0.18/0.53 % Net memory used: 29.038 MB
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