%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG149+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 : n011.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 11:48:38 AM UTC 2026
% Result : Unsatisfiable 6.38s 1.32s
% Output : CNFRefutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 207
% Syntax : Number of formulae : 1498 ( 63 unt; 178 def)
% Number of atoms : 5511 (2745 equ)
% Maximal formula atoms : 132 ( 3 avg)
% Number of connectives : 6883 (2870 ~;2945 |; 846 &)
% ( 222 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 180 ( 178 usr; 179 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,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
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(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
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(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = 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,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != 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,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| sP0_prd )
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
op(e0,e0) != e0,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
op(e1,e1) != e1,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
op(e2,e2) != e2,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
op(e3,e3) != e3,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f139,plain,
( op(e0,e3) = e1
| op(e0,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f140,plain,
( op(e0,e3) = e2
| op(e0,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e1,e3) = e0
| op(e1,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f144,plain,
( op(e1,e3) = e2
| op(e1,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f146,plain,
( op(e2,e3) = e0
| op(e2,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f147,plain,
( op(e2,e3) = e1
| op(e2,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f148,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f150,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f151,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f152,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f154,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f155,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f157,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f159,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f161,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f163,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f165,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f167,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f169,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f171,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f173,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f175,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f177,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f179,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f181,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f183,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f185,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f187,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f189,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f191,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f193,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f195,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f197,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f199,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f201,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,definition,
( sP1_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f203,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f202]) ).
fof(f204,definition,
( sP2_prd
<=> ( ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f205,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& sP2_prd )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f203,f204]) ).
fof(f206,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ~ sP2_prd )
& ~ sP1_prd )
| sP0_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& sP2_prd )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( sP2_prd
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f210,plain,
( op(e3,e3) = e2
| ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f212,definition,
( sP3_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f213,plain,
( sP1_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f202,f212]) ).
fof(f214,definition,
( sP4_prd
<=> ( ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f215,plain,
( sP1_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& sP4_prd )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f213,f214]) ).
fof(f216,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ~ sP4_prd )
& ~ sP3_prd )
| sP1_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& sP4_prd )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( sP4_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f220,plain,
( op(e3,e3) = e1
| ~ sP4_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f221,plain,
( op(e3,e1) != e3
| ~ sP4_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f222,definition,
( sP5_prd
<=> ( ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f223,plain,
( sP2_prd
<=> ( ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f204,f222]) ).
fof(f224,plain,
( ( ( op(e3,e2) != e2
& op(e3,e2) = e2 )
| ~ sP5_prd
| sP2_prd )
& ( ( ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& sP5_prd )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
( sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f227,plain,
( op(e3,e2) = e2
| ~ sP5_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f228,plain,
( op(e3,e2) != e2
| ~ sP5_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f229,definition,
( sP6_prd
<=> ( ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f230,plain,
( sP3_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f212,f229]) ).
fof(f231,plain,
( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ~ sP6_prd
| sP3_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& sP6_prd )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f234,plain,
( op(e3,e3) = e0
| ~ sP6_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f235,plain,
( op(e3,e0) != e3
| ~ sP6_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f236,definition,
( sP7_prd
<=> ( ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f237,plain,
( sP4_prd
<=> ( ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f214,f236]) ).
fof(f238,plain,
( ( ( op(e3,e1) != e2
& op(e3,e2) = e1 )
| ~ sP7_prd
| sP4_prd )
& ( ( ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& sP7_prd )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( sP7_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f240,plain,
( op(e3,e1) = e2
| op(e3,e2) != e1
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f241,plain,
( op(e3,e2) = e1
| ~ sP7_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f243,definition,
( sP8_prd
<=> ( ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f244,plain,
( sP5_prd
<=> ( ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f222,f243]) ).
fof(f245,plain,
( ( ( op(e3,e2) != e1
& op(e3,e1) = e2 )
| ~ sP8_prd
| sP5_prd )
& ( ( ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& sP8_prd )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
( sP8_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f247,plain,
( op(e3,e2) = e1
| op(e3,e1) != e2
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f248,plain,
( op(e3,e1) = e2
| ~ sP8_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f249,plain,
( op(e3,e2) != e1
| ~ sP8_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f250,definition,
( sP9_prd
<=> ( ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f251,plain,
( sP6_prd
<=> ( ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f229,f250]) ).
fof(f252,plain,
( ( ( op(e3,e0) != e2
& op(e3,e2) = e0 )
| ~ sP9_prd
| sP6_prd )
& ( ( ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& sP9_prd )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( sP9_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e3,e0) = e2
| op(e3,e2) != e0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( op(e3,e2) = e0
| ~ sP9_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
( op(e3,e0) != e2
| ~ sP9_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,definition,
( sP10_prd
<=> ( ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f258,plain,
( sP7_prd
<=> ( ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f236,f257]) ).
fof(f259,plain,
( ( ( op(e3,e1) != e1
& op(e3,e1) = e1 )
| ~ sP10_prd
| sP7_prd )
& ( ( ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& sP10_prd )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f258]) ).
fof(f260,plain,
( sP10_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f262,plain,
( op(e3,e1) = e1
| ~ sP10_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f263,plain,
( op(e3,e1) != e1
| ~ sP10_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f264,definition,
( sP11_prd
<=> ( ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f265,plain,
( sP8_prd
<=> ( ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f243,f264]) ).
fof(f266,plain,
( ( ( op(e3,e2) != e0
& op(e3,e0) = e2 )
| ~ sP11_prd
| sP8_prd )
& ( ( ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& sP11_prd )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( sP11_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f268,plain,
( op(e3,e2) = e0
| op(e3,e0) != e2
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f269,plain,
( op(e3,e0) = e2
| ~ sP11_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f270,plain,
( op(e3,e2) != e0
| ~ sP11_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f271,definition,
( sP12_prd
<=> ( ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f272,plain,
( sP9_prd
<=> ( ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f271]) ).
fof(f273,plain,
( ( ( op(e3,e0) != e1
& op(e3,e1) = e0 )
| ~ sP12_prd
| sP9_prd )
& ( ( ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& sP12_prd )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
( sP12_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f275,plain,
( op(e3,e0) = e1
| op(e3,e1) != e0
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f276,plain,
( op(e3,e1) = e0
| ~ sP12_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f277,plain,
( op(e3,e0) != e1
| ~ sP12_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f278,definition,
( sP13_prd
<=> ( ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f279,plain,
( sP10_prd
<=> ( ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f257,f278]) ).
fof(f280,plain,
( ( ( op(e3,e1) != e0
& op(e3,e0) = e1 )
| ~ sP13_prd
| sP10_prd )
& ( ( ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& sP13_prd )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
( sP13_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f282,plain,
( op(e3,e1) = e0
| op(e3,e0) != e1
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f283,plain,
( op(e3,e0) = e1
| ~ sP13_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f284,plain,
( op(e3,e1) != e0
| ~ sP13_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f285,definition,
( sP14_prd
<=> ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f286,plain,
( sP11_prd
<=> ( ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f264,f285]) ).
fof(f287,plain,
( ( ( op(e2,e2) != e3
& op(e2,e3) = e2 )
| ~ sP14_prd
| sP11_prd )
& ( ( ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& sP14_prd )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f286]) ).
fof(f288,plain,
( sP14_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f290,plain,
( op(e2,e3) = e2
| ~ sP14_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f291,plain,
( op(e2,e2) != e3
| ~ sP14_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f292,definition,
( sP15_prd
<=> ( ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f293,plain,
( sP12_prd
<=> ( ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f271,f292]) ).
fof(f294,plain,
( ( ( op(e3,e0) != e0
& op(e3,e0) = e0 )
| ~ sP15_prd
| sP12_prd )
& ( ( ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& sP15_prd )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( sP15_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f297,plain,
( op(e3,e0) = e0
| ~ sP15_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f298,plain,
( op(e3,e0) != e0
| ~ sP15_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f299,definition,
( sP16_prd
<=> ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f300,plain,
( sP13_prd
<=> ( ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f278,f299]) ).
fof(f301,plain,
( ( ( op(e2,e1) != e3
& op(e2,e3) = e1 )
| ~ sP16_prd
| sP13_prd )
& ( ( ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& sP16_prd )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
( sP16_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( op(e2,e1) = e3
| op(e2,e3) != e1
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f304,plain,
( op(e2,e3) = e1
| ~ sP16_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
( op(e2,e1) != e3
| ~ sP16_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f306,definition,
( sP17_prd
<=> ( ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f307,plain,
( sP14_prd
<=> ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f285,f306]) ).
fof(f308,plain,
( ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP17_prd
| sP14_prd )
& ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP17_prd )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f307]) ).
fof(f309,plain,
( sP17_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f311,plain,
( op(e2,e2) = e2
| ~ sP17_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f313,definition,
( sP18_prd
<=> ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f314,plain,
( sP15_prd
<=> ( ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f292,f313]) ).
fof(f315,plain,
( ( ( op(e2,e0) != e3
& op(e2,e3) = e0 )
| ~ sP18_prd
| sP15_prd )
& ( ( ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& sP18_prd )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( sP18_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e2,e0) = e3
| op(e2,e3) != e0
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f318,plain,
( op(e2,e3) = e0
| ~ sP18_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f319,plain,
( op(e2,e0) != e3
| ~ sP18_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f320,definition,
( sP19_prd
<=> ( ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f321,plain,
( sP16_prd
<=> ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f299,f320]) ).
fof(f322,plain,
( ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP19_prd
| sP16_prd )
& ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP19_prd )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f321]) ).
fof(f323,plain,
( sP19_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f324,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f325,plain,
( op(e2,e2) = e1
| ~ sP19_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f327,definition,
( sP20_prd
<=> ( ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f328,plain,
( sP17_prd
<=> ( ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f306,f327]) ).
fof(f329,plain,
( ( ( op(e2,e2) != e1
& op(e2,e1) = e2 )
| ~ sP20_prd
| sP17_prd )
& ( ( ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP20_prd )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( sP20_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f332,plain,
( op(e2,e1) = e2
| ~ sP20_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f333,plain,
( op(e2,e2) != e1
| ~ sP20_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f334,definition,
( sP21_prd
<=> ( ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f335,plain,
( sP18_prd
<=> ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f334]) ).
fof(f336,plain,
( ( ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP21_prd
| sP18_prd )
& ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP21_prd )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
( sP21_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f339,plain,
( op(e2,e2) = e0
| ~ sP21_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f340,plain,
( op(e2,e0) != e2
| ~ sP21_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f341,definition,
( sP22_prd
<=> ( ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f342,plain,
( sP19_prd
<=> ( ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f320,f341]) ).
fof(f343,plain,
( ( ( op(e2,e1) != e1
& op(e2,e1) = e1 )
| ~ sP22_prd
| sP19_prd )
& ( ( ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& sP22_prd )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f342]) ).
fof(f344,plain,
( sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f346,plain,
( op(e2,e1) = e1
| ~ sP22_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f348,definition,
( sP23_prd
<=> ( ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f349,plain,
( sP20_prd
<=> ( ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f348]) ).
fof(f350,plain,
( ( ( op(e2,e2) != e0
& op(e2,e0) = e2 )
| ~ sP23_prd
| sP20_prd )
& ( ( ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP23_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
( sP23_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f352,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f353,plain,
( op(e2,e0) = e2
| ~ sP23_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f354,plain,
( op(e2,e2) != e0
| ~ sP23_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f355,definition,
( sP24_prd
<=> ( ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f356,plain,
( sP21_prd
<=> ( ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f334,f355]) ).
fof(f357,plain,
( ( ( op(e2,e0) != e1
& op(e2,e1) = e0 )
| ~ sP24_prd
| sP21_prd )
& ( ( ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& sP24_prd )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( sP24_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f359,plain,
( op(e2,e0) = e1
| op(e2,e1) != e0
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f360,plain,
( op(e2,e1) = e0
| ~ sP24_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f361,plain,
( op(e2,e0) != e1
| ~ sP24_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f362,definition,
( sP25_prd
<=> ( ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f363,plain,
( sP22_prd
<=> ( ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f341,f362]) ).
fof(f364,plain,
( ( ( op(e2,e1) != e0
& op(e2,e0) = e1 )
| ~ sP25_prd
| sP22_prd )
& ( ( ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& sP25_prd )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f363]) ).
fof(f365,plain,
( sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f366,plain,
( op(e2,e1) = e0
| op(e2,e0) != e1
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f367,plain,
( op(e2,e0) = e1
| ~ sP25_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f368,plain,
( op(e2,e1) != e0
| ~ sP25_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f369,definition,
( sP26_prd
<=> ( ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f370,plain,
( sP23_prd
<=> ( ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f348,f369]) ).
fof(f371,plain,
( ( ( op(e1,e2) != e3
& op(e1,e3) = e2 )
| ~ sP26_prd
| sP23_prd )
& ( ( ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& sP26_prd )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
( sP26_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
( op(e1,e2) = e3
| op(e1,e3) != e2
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f374,plain,
( op(e1,e3) = e2
| ~ sP26_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f375,plain,
( op(e1,e2) != e3
| ~ sP26_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f376,definition,
( sP27_prd
<=> ( ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f377,plain,
( sP24_prd
<=> ( ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f355,f376]) ).
fof(f378,plain,
( ( ( op(e2,e0) != e0
& op(e2,e0) = e0 )
| ~ sP27_prd
| sP24_prd )
& ( ( ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& sP27_prd )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f377]) ).
fof(f379,plain,
( sP27_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f381,plain,
( op(e2,e0) = e0
| ~ sP27_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f382,plain,
( op(e2,e0) != e0
| ~ sP27_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f383,definition,
( sP28_prd
<=> ( ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f384,plain,
( sP25_prd
<=> ( ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f362,f383]) ).
fof(f385,plain,
( ( ( op(e1,e1) != e3
& op(e1,e3) = e1 )
| ~ sP28_prd
| sP25_prd )
& ( ( ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& sP28_prd )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f387,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f388,plain,
( op(e1,e3) = e1
| ~ sP28_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f390,definition,
( sP29_prd
<=> ( ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f391,plain,
( sP26_prd
<=> ( ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f369,f390]) ).
fof(f392,plain,
( ( ( op(e1,e2) != e2
& op(e1,e2) = e2 )
| ~ sP29_prd
| sP26_prd )
& ( ( ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& sP29_prd )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( sP29_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f395,plain,
( op(e1,e2) = e2
| ~ sP29_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( op(e1,e2) != e2
| ~ sP29_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f397,definition,
( sP30_prd
<=> ( ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f398,plain,
( sP27_prd
<=> ( ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f376,f397]) ).
fof(f399,plain,
( ( ( op(e1,e0) != e3
& op(e1,e3) = e0 )
| ~ sP30_prd
| sP27_prd )
& ( ( ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& sP30_prd )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f398]) ).
fof(f400,plain,
( sP30_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f401,plain,
( op(e1,e0) = e3
| op(e1,e3) != e0
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f402,plain,
( op(e1,e3) = e0
| ~ sP30_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f403,plain,
( op(e1,e0) != e3
| ~ sP30_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f404,definition,
( sP31_prd
<=> ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f405,plain,
( sP28_prd
<=> ( ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f383,f404]) ).
fof(f406,plain,
( ( ( op(e1,e1) != e2
& op(e1,e2) = e1 )
| ~ sP31_prd
| sP28_prd )
& ( ( ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& sP31_prd )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f408,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f409,plain,
( op(e1,e2) = e1
| ~ sP31_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f410,plain,
( op(e1,e1) != e2
| ~ sP31_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f411,definition,
( sP32_prd
<=> ( ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f412,plain,
( sP29_prd
<=> ( ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f390,f411]) ).
fof(f413,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ~ sP32_prd
| sP29_prd )
& ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& sP32_prd )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f412]) ).
fof(f414,plain,
( sP32_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f415,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f416,plain,
( op(e1,e1) = e2
| ~ sP32_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f417,plain,
( op(e1,e2) != e1
| ~ sP32_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f418,definition,
( sP33_prd
<=> ( ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f419,plain,
( sP30_prd
<=> ( ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f397,f418]) ).
fof(f420,plain,
( ( ( op(e1,e0) != e2
& op(e1,e2) = e0 )
| ~ sP33_prd
| sP30_prd )
& ( ( ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& sP33_prd )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f419]) ).
fof(f421,plain,
( sP33_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f422,plain,
( op(e1,e0) = e2
| op(e1,e2) != e0
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f423,plain,
( op(e1,e2) = e0
| ~ sP33_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f424,plain,
( op(e1,e0) != e2
| ~ sP33_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f425,definition,
( sP34_prd
<=> ( ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f426,plain,
( sP31_prd
<=> ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f404,f425]) ).
fof(f427,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ~ sP34_prd
| sP31_prd )
& ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& sP34_prd )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f426]) ).
fof(f428,plain,
( sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f430,plain,
( op(e1,e1) = e1
| ~ sP34_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f432,definition,
( sP35_prd
<=> ( ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f433,plain,
( sP32_prd
<=> ( ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f411,f432]) ).
fof(f434,plain,
( ( ( op(e1,e2) != e0
& op(e1,e0) = e2 )
| ~ sP35_prd
| sP32_prd )
& ( ( ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& sP35_prd )
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f433]) ).
fof(f435,plain,
( sP35_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
( op(e1,e2) = e0
| op(e1,e0) != e2
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f437,plain,
( op(e1,e0) = e2
| ~ sP35_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f438,plain,
( op(e1,e2) != e0
| ~ sP35_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f439,definition,
( sP36_prd
<=> ( ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f440,plain,
( sP33_prd
<=> ( ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f418,f439]) ).
fof(f441,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ~ sP36_prd
| sP33_prd )
& ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& sP36_prd )
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
( sP36_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f443,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f444,plain,
( op(e1,e1) = e0
| ~ sP36_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f445,plain,
( op(e1,e0) != e1
| ~ sP36_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f446,definition,
( sP37_prd
<=> ( ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f447,plain,
( sP34_prd
<=> ( ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f425,f446]) ).
fof(f448,plain,
( ( ( op(e1,e1) != e0
& op(e1,e0) = e1 )
| ~ sP37_prd
| sP34_prd )
& ( ( ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& sP37_prd )
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f447]) ).
fof(f449,plain,
( sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f451,plain,
( op(e1,e0) = e1
| ~ sP37_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f452,plain,
( op(e1,e1) != e0
| ~ sP37_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f453,definition,
( sP38_prd
<=> ( ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f454,plain,
( sP35_prd
<=> ( ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f432,f453]) ).
fof(f455,plain,
( ( ( op(e0,e2) != e3
& op(e0,e3) = e2 )
| ~ sP38_prd
| sP35_prd )
& ( ( ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& sP38_prd )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f454]) ).
fof(f456,plain,
( sP38_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f457,plain,
( op(e0,e2) = e3
| op(e0,e3) != e2
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f458,plain,
( op(e0,e3) = e2
| ~ sP38_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f459,plain,
( op(e0,e2) != e3
| ~ sP38_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f455]) ).
fof(f460,definition,
( sP39_prd
<=> ( ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f461,plain,
( sP36_prd
<=> ( ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f439,f460]) ).
fof(f462,plain,
( ( ( op(e1,e0) != e0
& op(e1,e0) = e0 )
| ~ sP39_prd
| sP36_prd )
& ( ( ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& sP39_prd )
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f461]) ).
fof(f463,plain,
( sP39_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f465,plain,
( op(e1,e0) = e0
| ~ sP39_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f466,plain,
( op(e1,e0) != e0
| ~ sP39_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f467,definition,
( sP40_prd
<=> ( ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f468,plain,
( sP37_prd
<=> ( ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f446,f467]) ).
fof(f469,plain,
( ( ( op(e0,e1) != e3
& op(e0,e3) = e1 )
| ~ sP40_prd
| sP37_prd )
& ( ( ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& sP40_prd )
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f468]) ).
fof(f470,plain,
( sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f471,plain,
( op(e0,e1) = e3
| op(e0,e3) != e1
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f472,plain,
( op(e0,e3) = e1
| ~ sP40_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f473,plain,
( op(e0,e1) != e3
| ~ sP40_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f474,definition,
( sP41_prd
<=> ( ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f475,plain,
( sP38_prd
<=> ( ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f453,f474]) ).
fof(f476,plain,
( ( ( op(e0,e2) != e2
& op(e0,e2) = e2 )
| ~ sP41_prd
| sP38_prd )
& ( ( ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& sP41_prd )
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f475]) ).
fof(f477,plain,
( sP41_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f479,plain,
( op(e0,e2) = e2
| ~ sP41_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f480,plain,
( op(e0,e2) != e2
| ~ sP41_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f481,definition,
( sP42_prd
<=> ( ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f482,plain,
( sP39_prd
<=> ( ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f460,f481]) ).
fof(f483,plain,
( ( ( op(e0,e0) != e3
& op(e0,e3) = e0 )
| ~ sP42_prd
| sP39_prd )
& ( ( ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& sP42_prd )
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f482]) ).
fof(f484,plain,
( sP42_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f486,plain,
( op(e0,e3) = e0
| ~ sP42_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f487,plain,
( op(e0,e0) != e3
| ~ sP42_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f488,definition,
( sP43_prd
<=> ( ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f489,plain,
( sP40_prd
<=> ( ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f467,f488]) ).
fof(f490,plain,
( ( ( op(e0,e1) != e2
& op(e0,e2) = e1 )
| ~ sP43_prd
| sP40_prd )
& ( ( ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& sP43_prd )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f489]) ).
fof(f491,plain,
( sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f490]) ).
fof(f492,plain,
( op(e0,e1) = e2
| op(e0,e2) != e1
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f490]) ).
fof(f493,plain,
( op(e0,e2) = e1
| ~ sP43_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f490]) ).
fof(f494,plain,
( op(e0,e1) != e2
| ~ sP43_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f490]) ).
fof(f495,plain,
( ( ( op(e0,e2) != e1
& op(e0,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP41_prd )
& ( ( ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f474]) ).
fof(f496,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f497,plain,
( op(e0,e2) = e1
| op(e0,e1) != e2
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f498,plain,
( op(e0,e1) = e2
| op(e0,e0) = e2
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f499,plain,
( op(e0,e2) != e1
| op(e0,e0) = e2
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f500,plain,
( op(e0,e1) = e2
| op(e0,e2) != e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f502,definition,
( sP44_prd
<=> ( ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f503,plain,
( sP42_prd
<=> ( ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f481,f502]) ).
fof(f504,plain,
( ( ( op(e0,e0) != e2
& op(e0,e2) = e0 )
| ~ sP44_prd
| sP42_prd )
& ( ( ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& sP44_prd )
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f503]) ).
fof(f505,plain,
( sP44_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f506,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f507,plain,
( op(e0,e2) = e0
| ~ sP44_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f508,plain,
( op(e0,e0) != e2
| ~ sP44_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f509,plain,
( ( ( op(e0,e1) != e1
& op(e0,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP43_prd )
& ( ( ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f488]) ).
fof(f510,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f512,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f513,plain,
( op(e0,e1) != e1
| op(e0,e0) = e1
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f514,plain,
( op(e0,e1) = e1
| op(e0,e1) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f509]) ).
fof(f516,plain,
( ( ( op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP44_prd )
& ( ( ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f502]) ).
fof(f518,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f519,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f520,plain,
( op(e0,e0) != e1
| op(e0,e0) = e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f523,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f523,f526,f529,f532]) ).
fof(f536,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f536,f539,f542,f545]) ).
fof(f549,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f549,f552,f555,f558]) ).
fof(f562,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f562,f565,f568,f571]) ).
fof(f575,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f575,f578,f581,f584]) ).
fof(f588,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f588,f591,f594,f597]) ).
fof(f601,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f601,f604,f607,f610]) ).
fof(f614,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f614,f617,f620,f623]) ).
fof(f627,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f627,f630,f633,f636]) ).
fof(f640,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f640,f643,f646,f649]) ).
fof(f653,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f653,f656,f659,f662]) ).
fof(f666,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f666,f669,f672,f675]) ).
fof(f679,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f679,f682,f685,f688]) ).
fof(f692,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f692,f695,f698,f701]) ).
fof(f705,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f705,f708,f711,f714]) ).
fof(f718,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f718,f721,f724,f727]) ).
fof(f731,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f523,f536,f549,f562]) ).
fof(f732,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f523,f575,f627,f679]) ).
fof(f733,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f526,f539,f552,f565]) ).
fof(f734,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f526,f578,f630,f682]) ).
fof(f735,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f529,f542,f555,f568]) ).
fof(f736,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f529,f581,f633,f685]) ).
fof(f737,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f532,f545,f558,f571]) ).
fof(f738,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f532,f584,f636,f688]) ).
fof(f739,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f575,f588,f601,f614]) ).
fof(f740,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f536,f588,f640,f692]) ).
fof(f741,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f578,f591,f604,f617]) ).
fof(f742,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f539,f591,f643,f695]) ).
fof(f743,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f581,f594,f607,f620]) ).
fof(f744,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f542,f594,f646,f698]) ).
fof(f745,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f584,f597,f610,f623]) ).
fof(f746,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f545,f597,f649,f701]) ).
fof(f747,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f627,f640,f653,f666]) ).
fof(f748,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f549,f601,f653,f705]) ).
fof(f749,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f630,f643,f656,f669]) ).
fof(f750,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f552,f604,f656,f708]) ).
fof(f751,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f633,f646,f659,f672]) ).
fof(f752,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f555,f607,f659,f711]) ).
fof(f754,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f558,f610,f662,f714]) ).
fof(f755,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f679,f692,f705,f718]) ).
fof(f756,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f562,f614,f666,f718]) ).
fof(f757,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f682,f695,f708,f721]) ).
fof(f758,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f565,f617,f669,f721]) ).
fof(f759,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f685,f698,f711,f724]) ).
fof(f760,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f568,f620,f672,f724]) ).
fof(f761,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f688,f701,f714,f727]) ).
fof(f762,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f571,f623,f675,f727]) ).
fof(f763,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f763,f532,f562]) ).
fof(f767,plain,
( sQ13_spl
| ~ sQ7_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f139,f763,f545,f565]) ).
fof(f768,plain,
( sQ14_spl
| ~ sQ11_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f140,f763,f558,f568]) ).
fof(f770,plain,
( sQ28_spl
| ~ sQ19_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f142,f763,f584,f614]) ).
fof(f771,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f143,f763,f597,f617]) ).
fof(f772,plain,
( sQ30_spl
| ~ sQ27_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f144,f763,f610,f620]) ).
fof(f774,plain,
( sQ44_spl
| ~ sQ35_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f146,f763,f636,f666]) ).
fof(f775,plain,
( sQ45_spl
| ~ sQ39_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f147,f763,f649,f669]) ).
fof(f776,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f148,f763,f662,f672]) ).
fof(f778,plain,
( sQ60_spl
| ~ sQ51_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f150,f763,f688,f718]) ).
fof(f779,plain,
( sQ61_spl
| ~ sQ55_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f151,f763,f701,f721]) ).
fof(f780,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f152,f763,f714,f724]) ).
fof(f782,definition,
( sQ65_spl
<=> e1 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( sQ65_spl
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ66_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( sQ66_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( ~ sQ3_spl
| ~ sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f155,f782,f785,f532]) ).
fof(f789,definition,
( sQ67_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ67_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f157,f782,f789,f529]) ).
fof(f793,definition,
( sQ68_spl
<=> e2 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( sQ68_spl
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ69_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ69_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ3_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f159,f793,f796,f532]) ).
fof(f800,plain,
( ~ sQ1_spl
| ~ sQ67_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f161,f793,f789,f526]) ).
fof(f801,definition,
( sQ70_spl
<=> e3 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( sQ70_spl
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ2_spl
| ~ sQ69_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f163,f801,f796,f529]) ).
fof(f805,plain,
( ~ sQ1_spl
| ~ sQ66_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f165,f801,f785,f526]) ).
fof(f806,definition,
( sQ71_spl
<=> e0 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( sQ71_spl
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,definition,
( sQ72_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( sQ72_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( ~ sQ23_spl
| ~ sQ72_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f167,f806,f809,f597]) ).
fof(f813,definition,
( sQ73_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( sQ73_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( ~ sQ22_spl
| ~ sQ73_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f169,f806,f813,f594]) ).
fof(f817,definition,
( sQ74_spl
<=> e2 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( sQ74_spl
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ75_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( sQ75_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( ~ sQ23_spl
| ~ sQ75_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f171,f817,f820,f597]) ).
fof(f824,plain,
( ~ sQ20_spl
| ~ sQ73_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f173,f817,f813,f588]) ).
fof(f825,definition,
( sQ76_spl
<=> e3 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( sQ76_spl
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( ~ sQ22_spl
| ~ sQ75_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f175,f825,f820,f594]) ).
fof(f829,plain,
( ~ sQ20_spl
| ~ sQ72_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f177,f825,f809,f588]) ).
fof(f830,definition,
( sQ77_spl
<=> e0 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( sQ77_spl
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ78_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( sQ78_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( ~ sQ43_spl
| ~ sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f179,f830,f833,f662]) ).
fof(f837,definition,
( sQ79_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ79_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( ~ sQ41_spl
| ~ sQ79_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f181,f830,f837,f656]) ).
fof(f841,definition,
( sQ80_spl
<=> e1 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( sQ80_spl
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ81_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( sQ81_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( ~ sQ43_spl
| ~ sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f183,f841,f844,f662]) ).
fof(f848,plain,
( ~ sQ40_spl
| ~ sQ79_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f185,f841,f837,f653]) ).
fof(f849,definition,
( sQ82_spl
<=> e3 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( sQ82_spl
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,plain,
( ~ sQ41_spl
| ~ sQ81_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f187,f849,f844,f656]) ).
fof(f853,plain,
( ~ sQ40_spl
| ~ sQ78_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f189,f849,f833,f653]) ).
fof(f854,definition,
( sQ83_spl
<=> e0 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( sQ83_spl
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ84_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( sQ84_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( ~ sQ62_spl
| ~ sQ84_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f191,f854,f857,f724]) ).
fof(f861,definition,
( sQ85_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( sQ85_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,plain,
( ~ sQ61_spl
| ~ sQ85_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f193,f854,f861,f721]) ).
fof(f865,definition,
( sQ86_spl
<=> e1 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( sQ86_spl
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ87_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( sQ87_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ62_spl
| ~ sQ87_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f195,f865,f868,f724]) ).
fof(f872,plain,
( ~ sQ60_spl
| ~ sQ85_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f197,f865,f861,f718]) ).
fof(f873,definition,
( sQ88_spl
<=> e2 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( sQ88_spl
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( ~ sQ61_spl
| ~ sQ87_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f199,f873,f868,f721]) ).
fof(f877,plain,
( ~ sQ60_spl
| ~ sQ84_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f201,f873,f857,f718]) ).
fof(f878,definition,
( sQ89_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f881,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( sQ90_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f207,f763,f878,f881]) ).
fof(f885,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f208,f763,f878,f724,f714]) ).
fof(f886,plain,
( ~ sQ89_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f209,f763,f878]) ).
fof(f887,plain,
( sQ62_spl
| ~ sQ90_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f210,f763,f881,f724]) ).
fof(f889,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f892,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( sQ92_spl
| sQ91_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f217,f878,f889,f892]) ).
fof(f896,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ91_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f218,f878,f889,f721,f701]) ).
fof(f897,plain,
( ~ sQ91_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f219,f878,f889]) ).
fof(f898,plain,
( sQ61_spl
| ~ sQ92_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f220,f878,f892,f721]) ).
fof(f899,plain,
( ~ sQ55_spl
| ~ sQ92_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f221,f878,f892,f701]) ).
fof(f900,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( sQ93_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f225,f881,f900]) ).
fof(f905,plain,
( sQ58_spl
| ~ sQ93_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f227,f881,f900,f711]) ).
fof(f906,plain,
( ~ sQ58_spl
| ~ sQ93_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f228,f881,f900,f711]) ).
fof(f907,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( sQ94_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f232,f889,f907]) ).
fof(f911,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f233,f889,f718,f688]) ).
fof(f912,plain,
( sQ60_spl
| ~ sQ94_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f234,f889,f907,f718]) ).
fof(f913,plain,
( ~ sQ51_spl
| ~ sQ94_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f235,f889,f907,f688]) ).
fof(f914,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( sQ95_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f239,f892,f914]) ).
fof(f918,plain,
( sQ54_spl
| ~ sQ57_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f240,f892,f708,f698]) ).
fof(f919,plain,
( sQ57_spl
| ~ sQ95_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f241,f892,f914,f708]) ).
fof(f921,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( sQ96_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f246,f900,f921]) ).
fof(f925,plain,
( sQ57_spl
| ~ sQ54_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f247,f900,f698,f708]) ).
fof(f926,plain,
( sQ54_spl
| ~ sQ96_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f248,f900,f921,f698]) ).
fof(f927,plain,
( ~ sQ57_spl
| ~ sQ96_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f249,f900,f921,f708]) ).
fof(f928,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( sQ97_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f253,f907,f928]) ).
fof(f932,plain,
( sQ50_spl
| ~ sQ56_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f254,f907,f705,f685]) ).
fof(f933,plain,
( sQ56_spl
| ~ sQ97_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f255,f907,f928,f705]) ).
fof(f934,plain,
( ~ sQ50_spl
| ~ sQ97_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f256,f907,f928,f685]) ).
fof(f935,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ98_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f260,f914,f935]) ).
fof(f940,plain,
( sQ53_spl
| ~ sQ98_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f262,f914,f935,f695]) ).
fof(f941,plain,
( ~ sQ53_spl
| ~ sQ98_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f263,f914,f935,f695]) ).
fof(f942,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( sQ99_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f267,f921,f942]) ).
fof(f946,plain,
( sQ56_spl
| ~ sQ50_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f268,f921,f685,f705]) ).
fof(f947,plain,
( sQ50_spl
| ~ sQ99_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f269,f921,f942,f685]) ).
fof(f948,plain,
( ~ sQ56_spl
| ~ sQ99_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f270,f921,f942,f705]) ).
fof(f949,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( sQ100_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f274,f928,f949]) ).
fof(f953,plain,
( sQ49_spl
| ~ sQ52_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f275,f928,f692,f682]) ).
fof(f954,plain,
( sQ52_spl
| ~ sQ100_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f276,f928,f949,f692]) ).
fof(f955,plain,
( ~ sQ49_spl
| ~ sQ100_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f277,f928,f949,f682]) ).
fof(f956,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f281,f935,f956]) ).
fof(f960,plain,
( sQ52_spl
| ~ sQ49_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f282,f935,f682,f692]) ).
fof(f961,plain,
( sQ49_spl
| ~ sQ101_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f283,f935,f956,f682]) ).
fof(f962,plain,
( ~ sQ52_spl
| ~ sQ101_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f284,f935,f956,f692]) ).
fof(f963,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( sQ102_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f288,f942,f963]) ).
fof(f967,plain,
( sQ43_spl
| ~ sQ46_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f289,f942,f672,f662]) ).
fof(f968,plain,
( sQ46_spl
| ~ sQ102_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f290,f942,f963,f672]) ).
fof(f969,plain,
( ~ sQ43_spl
| ~ sQ102_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f291,f942,f963,f662]) ).
fof(f970,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( sQ103_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f295,f949,f970]) ).
fof(f975,plain,
( sQ48_spl
| ~ sQ103_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f297,f949,f970,f679]) ).
fof(f976,plain,
( ~ sQ48_spl
| ~ sQ103_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f298,f949,f970,f679]) ).
fof(f977,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( sQ104_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f302,f956,f977]) ).
fof(f981,plain,
( sQ39_spl
| ~ sQ45_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f303,f956,f669,f649]) ).
fof(f982,plain,
( sQ45_spl
| ~ sQ104_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f304,f956,f977,f669]) ).
fof(f983,plain,
( ~ sQ39_spl
| ~ sQ104_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f305,f956,f977,f649]) ).
fof(f984,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( sQ105_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f309,f963,f984]) ).
fof(f989,plain,
( sQ42_spl
| ~ sQ105_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f311,f963,f984,f659]) ).
fof(f991,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( sQ106_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f316,f970,f991]) ).
fof(f995,plain,
( sQ35_spl
| ~ sQ44_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f317,f970,f666,f636]) ).
fof(f996,plain,
( sQ44_spl
| ~ sQ106_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f318,f970,f991,f666]) ).
fof(f997,plain,
( ~ sQ35_spl
| ~ sQ106_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f319,f970,f991,f636]) ).
fof(f998,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ107_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f323,f977,f998]) ).
fof(f1002,plain,
( sQ38_spl
| ~ sQ41_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f324,f977,f656,f646]) ).
fof(f1003,plain,
( sQ41_spl
| ~ sQ107_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f325,f977,f998,f656]) ).
fof(f1005,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( sQ108_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f330,f984,f1005]) ).
fof(f1009,plain,
( sQ41_spl
| ~ sQ38_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f331,f984,f646,f656]) ).
fof(f1010,plain,
( sQ38_spl
| ~ sQ108_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f332,f984,f1005,f646]) ).
fof(f1011,plain,
( ~ sQ41_spl
| ~ sQ108_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f333,f984,f1005,f656]) ).
fof(f1012,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( sQ109_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f337,f991,f1012]) ).
fof(f1016,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f338,f991,f653,f633]) ).
fof(f1017,plain,
( sQ40_spl
| ~ sQ109_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f339,f991,f1012,f653]) ).
fof(f1018,plain,
( ~ sQ34_spl
| ~ sQ109_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f340,f991,f1012,f633]) ).
fof(f1019,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1022,plain,
( sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f344,f998,f1019]) ).
fof(f1024,plain,
( sQ37_spl
| ~ sQ110_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f346,f998,f1019,f643]) ).
fof(f1026,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( sQ111_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f351,f1005,f1026]) ).
fof(f1030,plain,
( sQ40_spl
| ~ sQ34_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f352,f1005,f633,f653]) ).
fof(f1031,plain,
( sQ34_spl
| ~ sQ111_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f353,f1005,f1026,f633]) ).
fof(f1032,plain,
( ~ sQ40_spl
| ~ sQ111_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f354,f1005,f1026,f653]) ).
fof(f1033,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( sQ112_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f358,f1012,f1033]) ).
fof(f1037,plain,
( sQ33_spl
| ~ sQ36_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f359,f1012,f640,f630]) ).
fof(f1038,plain,
( sQ36_spl
| ~ sQ112_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f360,f1012,f1033,f640]) ).
fof(f1039,plain,
( ~ sQ33_spl
| ~ sQ112_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f361,f1012,f1033,f630]) ).
fof(f1040,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f365,f1019,f1040]) ).
fof(f1044,plain,
( sQ36_spl
| ~ sQ33_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f366,f1019,f630,f640]) ).
fof(f1045,plain,
( sQ33_spl
| ~ sQ113_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f367,f1019,f1040,f630]) ).
fof(f1046,plain,
( ~ sQ36_spl
| ~ sQ113_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f368,f1019,f1040,f640]) ).
fof(f1047,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( sQ114_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f372,f1026,f1047]) ).
fof(f1051,plain,
( sQ27_spl
| ~ sQ30_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f373,f1026,f620,f610]) ).
fof(f1052,plain,
( sQ30_spl
| ~ sQ114_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f374,f1026,f1047,f620]) ).
fof(f1053,plain,
( ~ sQ27_spl
| ~ sQ114_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f375,f1026,f1047,f610]) ).
fof(f1054,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( sQ115_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f379,f1033,f1054]) ).
fof(f1059,plain,
( sQ32_spl
| ~ sQ115_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f381,f1033,f1054,f627]) ).
fof(f1060,plain,
( ~ sQ32_spl
| ~ sQ115_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f382,f1033,f1054,f627]) ).
fof(f1061,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f386,f1040,f1061]) ).
fof(f1065,plain,
( sQ23_spl
| ~ sQ29_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f387,f1040,f617,f597]) ).
fof(f1066,plain,
( sQ29_spl
| ~ sQ116_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f388,f1040,f1061,f617]) ).
fof(f1068,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( sQ117_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f393,f1047,f1068]) ).
fof(f1073,plain,
( sQ26_spl
| ~ sQ117_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f395,f1047,f1068,f607]) ).
fof(f1074,plain,
( ~ sQ26_spl
| ~ sQ117_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f396,f1047,f1068,f607]) ).
fof(f1075,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( sQ118_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f400,f1054,f1075]) ).
fof(f1079,plain,
( sQ19_spl
| ~ sQ28_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f401,f1054,f614,f584]) ).
fof(f1080,plain,
( sQ28_spl
| ~ sQ118_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f402,f1054,f1075,f614]) ).
fof(f1081,plain,
( ~ sQ19_spl
| ~ sQ118_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f403,f1054,f1075,f584]) ).
fof(f1082,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f407,f1061,f1082]) ).
fof(f1086,plain,
( sQ22_spl
| ~ sQ25_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f408,f1061,f604,f594]) ).
fof(f1087,plain,
( sQ25_spl
| ~ sQ119_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f409,f1061,f1082,f604]) ).
fof(f1088,plain,
( ~ sQ22_spl
| ~ sQ119_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f410,f1061,f1082,f594]) ).
fof(f1089,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( sQ120_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f414,f1068,f1089]) ).
fof(f1093,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f415,f1068,f594,f604]) ).
fof(f1094,plain,
( sQ22_spl
| ~ sQ120_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f416,f1068,f1089,f594]) ).
fof(f1095,plain,
( ~ sQ25_spl
| ~ sQ120_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f417,f1068,f1089,f604]) ).
fof(f1096,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( sQ121_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f421,f1075,f1096]) ).
fof(f1100,plain,
( sQ18_spl
| ~ sQ24_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f422,f1075,f601,f581]) ).
fof(f1101,plain,
( sQ24_spl
| ~ sQ121_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f423,f1075,f1096,f601]) ).
fof(f1102,plain,
( ~ sQ18_spl
| ~ sQ121_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f424,f1075,f1096,f581]) ).
fof(f1103,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f428,f1082,f1103]) ).
fof(f1108,plain,
( sQ21_spl
| ~ sQ122_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f430,f1082,f1103,f591]) ).
fof(f1110,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( sQ123_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f435,f1089,f1110]) ).
fof(f1114,plain,
( sQ24_spl
| ~ sQ18_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f436,f1089,f581,f601]) ).
fof(f1115,plain,
( sQ18_spl
| ~ sQ123_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f437,f1089,f1110,f581]) ).
fof(f1116,plain,
( ~ sQ24_spl
| ~ sQ123_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f438,f1089,f1110,f601]) ).
fof(f1117,definition,
( sQ124_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( sQ124_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f442,f1096,f1117]) ).
fof(f1121,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f443,f1096,f588,f578]) ).
fof(f1122,plain,
( sQ20_spl
| ~ sQ124_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f444,f1096,f1117,f588]) ).
fof(f1123,plain,
( ~ sQ17_spl
| ~ sQ124_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f445,f1096,f1117,f578]) ).
fof(f1124,definition,
( sQ125_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f449,f1103,f1124]) ).
fof(f1128,plain,
( sQ20_spl
| ~ sQ17_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f450,f1103,f578,f588]) ).
fof(f1129,plain,
( sQ17_spl
| ~ sQ125_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f451,f1103,f1124,f578]) ).
fof(f1130,plain,
( ~ sQ20_spl
| ~ sQ125_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f452,f1103,f1124,f588]) ).
fof(f1131,definition,
( sQ126_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( sQ126_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f456,f1110,f1131]) ).
fof(f1135,plain,
( sQ11_spl
| ~ sQ14_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f457,f1110,f568,f558]) ).
fof(f1136,plain,
( sQ14_spl
| ~ sQ126_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f458,f1110,f1131,f568]) ).
fof(f1137,plain,
( ~ sQ11_spl
| ~ sQ126_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f459,f1110,f1131,f558]) ).
fof(f1138,definition,
( sQ127_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( sQ127_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f463,f1117,f1138]) ).
fof(f1143,plain,
( sQ16_spl
| ~ sQ127_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f465,f1117,f1138,f575]) ).
fof(f1144,plain,
( ~ sQ16_spl
| ~ sQ127_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f466,f1117,f1138,f575]) ).
fof(f1145,definition,
( sQ128_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f470,f1124,f1145]) ).
fof(f1149,plain,
( sQ7_spl
| ~ sQ13_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f471,f1124,f565,f545]) ).
fof(f1150,plain,
( sQ13_spl
| ~ sQ128_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f472,f1124,f1145,f565]) ).
fof(f1151,plain,
( ~ sQ7_spl
| ~ sQ128_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f473,f1124,f1145,f545]) ).
fof(f1152,definition,
( sQ129_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( sQ129_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f477,f1131,f1152]) ).
fof(f1157,plain,
( sQ10_spl
| ~ sQ129_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f479,f1131,f1152,f555]) ).
fof(f1158,plain,
( ~ sQ10_spl
| ~ sQ129_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f480,f1131,f1152,f555]) ).
fof(f1159,definition,
( sQ130_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( sQ130_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f484,f1138,f1159]) ).
fof(f1163,plain,
( sQ3_spl
| ~ sQ12_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f485,f1138,f562,f532]) ).
fof(f1164,plain,
( sQ12_spl
| ~ sQ130_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f486,f1138,f1159,f562]) ).
fof(f1165,plain,
( ~ sQ3_spl
| ~ sQ130_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f487,f1138,f1159,f532]) ).
fof(f1166,definition,
( sQ131_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( sQ131_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f491,f1145,f1166]) ).
fof(f1170,plain,
( sQ6_spl
| ~ sQ9_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f492,f1145,f552,f542]) ).
fof(f1171,plain,
( sQ9_spl
| ~ sQ131_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f493,f1145,f1166,f552]) ).
fof(f1172,plain,
( ~ sQ6_spl
| ~ sQ131_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f494,f1145,f1166,f542]) ).
fof(f1173,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f496,f1152,f529,f549]) ).
fof(f1174,plain,
( sQ9_spl
| ~ sQ6_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f497,f1152,f542,f552]) ).
fof(f1175,plain,
( sQ6_spl
| sQ2_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f498,f1152,f529,f542]) ).
fof(f1176,plain,
( ~ sQ9_spl
| sQ2_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f499,f1152,f529,f552]) ).
fof(f1177,plain,
( sQ6_spl
| ~ sQ8_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f500,f1152,f549,f542]) ).
fof(f1179,definition,
( sQ132_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f505,f1159,f1179]) ).
fof(f1183,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f506,f1159,f549,f529]) ).
fof(f1184,plain,
( sQ8_spl
| ~ sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f507,f1159,f1179,f549]) ).
fof(f1185,plain,
( ~ sQ2_spl
| ~ sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f508,f1159,f1179,f529]) ).
fof(f1186,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f510,f1166,f526,f536]) ).
fof(f1188,plain,
( sQ5_spl
| sQ1_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f512,f1166,f526,f539]) ).
fof(f1189,plain,
( ~ sQ5_spl
| sQ1_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f513,f1166,f526,f539]) ).
fof(f1190,plain,
( sQ5_spl
| ~ sQ4_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f514,f1166,f536,f539]) ).
fof(f1193,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f518,f1179,f536,f526]) ).
fof(f1194,plain,
( sQ4_spl
| sQ0_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f519,f1179,f523,f536]) ).
fof(f1195,plain,
( ~ sQ1_spl
| sQ0_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f520,f1179,f523,f526]) ).
fof(f1198,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f728,f137]) ).
fof(f1199,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1200,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f119]) ).
fof(f1201,plain,
( ~ sQ47_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f118]) ).
fof(f1204,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f99]) ).
fof(f1205,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f97]) ).
fof(f1206,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f624,f113]) ).
fof(f1207,plain,
( ~ sQ31_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f624,f112]) ).
fof(f1208,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f624,f110]) ).
fof(f1210,plain,
( ~ sQ31_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f624,f96]) ).
fof(f1212,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f572,f106]) ).
fof(f1213,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f572,f104]) ).
fof(f1215,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f543,f105]) ).
fof(f1216,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f102]) ).
fof(f1217,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f543,f86]) ).
fof(f1218,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f543,f85]) ).
fof(f1219,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f543,f84]) ).
fof(f1220,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1216,f529,f542]) ).
fof(f1222,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f136]) ).
fof(f1223,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1225,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1218,f646,f542]) ).
fof(f1226,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f615,f624]) ).
fof(f1227,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1226,f128]) ).
fof(f1228,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f615,f113]) ).
fof(f1230,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f615,f112]) ).
fof(f1232,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f615,f100]) ).
fof(f1236,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f615,f618]) ).
fof(f1237,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1236,f126]) ).
fof(f1238,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1237]) ).
fof(f1239,plain,
( ~ sQ31_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f572,f1210]) ).
fof(f1240,plain,
( ~ sQ31_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1239]) ).
fof(f1241,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1242,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f667,f676]) ).
fof(f1243,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1242,f128]) ).
fof(f1244,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1246,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f118]) ).
fof(f1247,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f116]) ).
fof(f1248,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f667,f101]) ).
fof(f1249,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f99]) ).
fof(f1250,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f97]) ).
fof(f1252,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1212,f545,f571]) ).
fof(f1253,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f667,f670]) ).
fof(f1254,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f126]) ).
fof(f1255,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1257,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f134]) ).
fof(f1258,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1257]) ).
fof(f1260,plain,
( ~ sQ47_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1201,f649,f675]) ).
fof(f1261,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f540,f546]) ).
fof(f1262,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f130]) ).
fof(f1263,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1250,f562,f666]) ).
fof(f1265,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1206,f610,f623]) ).
fof(f1266,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1229,f601,f614]) ).
fof(f1267,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1230,f588,f614]) ).
fof(f1268,plain,
( ~ sQ10_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f103]) ).
fof(f1269,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f556,f92]) ).
fof(f1271,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f556,f90]) ).
fof(f1272,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1268,f529,f555]) ).
fof(f1273,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f135]) ).
fof(f1274,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f608,f111]) ).
fof(f1276,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f608,f109]) ).
fof(f1277,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f608,f94]) ).
fof(f1279,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1275,f594,f607]) ).
fof(f1281,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f634,f114]) ).
fof(f1282,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f634,f83]) ).
fof(f1283,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f634,f81]) ).
fof(f1284,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f634,f79]) ).
fof(f1285,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1281,f646,f633]) ).
fof(f1286,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1282,f685,f633]) ).
fof(f1287,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1284,f529,f633]) ).
fof(f1288,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f693,f124]) ).
fof(f1291,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f693,f89]) ).
fof(f1293,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1291,f640,f692]) ).
fof(f1295,plain,
( sQ88_spl
| ~ sQ60_spl
| e2 != op(op(e0,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f719,f875]) ).
fof(f1296,plain,
( sQ86_spl
| ~ sQ60_spl
| e1 != op(op(e0,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f719,f867]) ).
fof(f1298,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f719,f125]) ).
fof(f1300,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f702,f86]) ).
fof(f1301,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f709,f121]) ).
fof(f1302,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f709,f95]) ).
fof(f1303,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f696,f702]) ).
fof(f1304,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f130]) ).
fof(f1305,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1307,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f696,f86]) ).
fof(f1309,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f563,f572]) ).
fof(f1310,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1309,f128]) ).
fof(f1311,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1310]) ).
fof(f1312,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f563,f566]) ).
fof(f1313,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1312,f126]) ).
fof(f1314,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1313]) ).
fof(f1317,plain,
( sQ84_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f719,f859]) ).
fof(f1323,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1276,f581,f607]) ).
fof(f1326,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f709,f125]) ).
fof(f1327,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f722,f100]) ).
fof(f1329,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f709,f712]) ).
fof(f1330,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1329,f129]) ).
fof(f1331,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1330]) ).
fof(f1334,plain,
( ~ sQ46_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f673,f97]) ).
fof(f1335,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f673,f99]) ).
fof(f1336,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f673,f101]) ).
fof(f1339,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f673,f118]) ).
fof(f1341,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f722,f725]) ).
fof(f1342,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f129]) ).
fof(f1343,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1344,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1336,f724,f672]) ).
fof(f1345,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1317,f565,f718,f857]) ).
fof(f1347,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1307,f539,f695]) ).
fof(f1349,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f550,f107]) ).
fof(f1350,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f105]) ).
fof(f1354,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f550,f91]) ).
fof(f1355,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f550,f90]) ).
fof(f1358,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f618,f96]) ).
fof(f1359,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f618,f113]) ).
fof(f1361,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f618,f110]) ).
fof(f1362,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1358,f565,f617]) ).
fof(f1363,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1359,f604,f617]) ).
fof(f1364,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1361,f578,f617]) ).
fof(f1367,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f673,f676]) ).
fof(f1368,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f131]) ).
fof(f1369,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1368]) ).
fof(f1370,plain,
( ~ sQ49_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f1301]) ).
fof(f1371,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1370]) ).
fof(f1375,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1335,f620,f672]) ).
fof(f1378,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f1339]) ).
fof(f1379,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( ~ sQ40_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f1354]) ).
fof(f1381,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1380]) ).
fof(f1382,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f550,f559]) ).
fof(f1383,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1382,f128]) ).
fof(f1384,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1383]) ).
fof(f1385,plain,
( ~ sQ41_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f1302]) ).
fof(f1386,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1385]) ).
fof(f1388,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f680,f120]) ).
fof(f1389,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f680,f83]) ).
fof(f1390,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f680,f82]) ).
fof(f1393,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f680,f122]) ).
fof(f1394,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f621,f100]) ).
fof(f1395,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f621,f96]) ).
fof(f1396,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f621,f113]) ).
fof(f1397,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f621,f112]) ).
fof(f1398,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f621,f110]) ).
fof(f1402,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f579,f81]) ).
fof(f1403,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f579,f109]) ).
fof(f1406,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1403,f604,f578]) ).
fof(f1407,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f706,f715]) ).
fof(f1408,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1407,f128]) ).
fof(f1409,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1408]) ).
fof(f1410,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1395,f568,f620]) ).
fof(f1412,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1327,f617,f721]) ).
fof(f1413,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1246,f640,f666]) ).
fof(f1414,plain,
( ~ sQ60_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f706,f1298]) ).
fof(f1415,plain,
( ~ sQ60_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1414]) ).
fof(f1416,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1417,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1388,f692,f679]) ).
fof(f1418,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1277,f711,f607]) ).
fof(f1421,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f530,f104]) ).
fof(f1426,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1421,f568,f529]) ).
fof(f1429,plain,
( sQ69_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f798]) ).
fof(f1431,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1398,f581,f620]) ).
fof(f1432,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1350,f536,f549]) ).
fof(f1436,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f712,f121]) ).
fof(f1442,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f80]) ).
fof(f1443,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f576,f81]) ).
fof(f1444,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f722,f122]) ).
fof(f1447,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f722,f101]) ).
fof(f1448,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f722,f98]) ).
fof(f1453,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1444,f682,f721]) ).
fof(f1454,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1448,f565,f721]) ).
fof(f1455,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f576,f109]) ).
fof(f1456,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f576,f108]) ).
fof(f1457,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f78]) ).
fof(f1465,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f667,f119]) ).
fof(f1466,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1465,f653,f666]) ).
fof(f1467,plain,
( ~ sQ32_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f1443]) ).
fof(f1468,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1467]) ).
fof(f1470,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f576,f579]) ).
fof(f1471,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1470,f126]) ).
fof(f1472,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1471]) ).
fof(f1473,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1442,f685,f529]) ).
fof(f1474,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1447,f669,f721]) ).
fof(f1475,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1436,f685,f711]) ).
fof(f1476,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1207,f597,f623]) ).
fof(f1478,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f693,f86]) ).
fof(f1479,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f693,f88]) ).
fof(f1481,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1478,f536,f692]) ).
fof(f1482,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1390,f575,f679]) ).
fof(f1483,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1393,f718,f679]) ).
fof(f1484,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1349,f562,f549]) ).
fof(f1486,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1456,f588,f575]) ).
fof(f1489,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f99]) ).
fof(f1490,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f116]) ).
fof(f1492,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f119]) ).
fof(f1497,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f650,f117]) ).
fof(f1498,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f650,f87]) ).
fof(f1508,plain,
( sQ70_spl
| ~ sQ2_spl
| e3 != op(op(e2,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f530,f803]) ).
fof(f1512,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f712,f123]) ).
fof(f1514,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1512,f698,f711]) ).
fof(f1515,plain,
( ~ sQ33_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f1490]) ).
fof(f1516,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1515]) ).
fof(f1517,plain,
( ~ sQ29_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f1489]) ).
fof(f1518,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1517]) ).
fof(f1525,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f689,f83]) ).
fof(f1530,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f719,f98]) ).
fof(f1535,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1530,f562,f718]) ).
fof(f1545,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f582,f1457]) ).
fof(f1546,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1545]) ).
fof(f1550,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f712,f715]) ).
fof(f1551,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f131]) ).
fof(f1552,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1248,f718,f666]) ).
fof(f1554,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1394,f724,f620]) ).
fof(f1555,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1396,f607,f620]) ).
fof(f1556,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f719,f725]) ).
fof(f1557,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1556,f127]) ).
fof(f1558,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1560,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1219,f594,f542]) ).
fof(f1561,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1205,f571,f675]) ).
fof(f1562,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1269,f711,f555]) ).
fof(f1563,plain,
( ~ sQ46_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1334,f568,f672]) ).
fof(f1564,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f719,f722]) ).
fof(f1565,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1564,f126]) ).
fof(f1566,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1567,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1355,f601,f549]) ).
fof(f1569,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1283,f581,f633]) ).
fof(f1570,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1217,f698,f542]) ).
fof(f1571,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1271,f607,f555]) ).
fof(f1576,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f572,f107]) ).
fof(f1585,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f644,f117]) ).
fof(f1587,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f644,f114]) ).
fof(f1588,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f644,f89]) ).
fof(f1589,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1587,f630,f643]) ).
fof(f1591,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f689,f121]) ).
fof(f1594,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f689,f120]) ).
fof(f1595,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f689,f82]) ).
fof(f1597,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f527,f79]) ).
fof(f1598,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f527,f102]) ).
fof(f1601,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f527,f78]) ).
fof(f1603,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f527,f80]) ).
fof(f1605,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f103]) ).
fof(f1607,plain,
( sQ77_spl
| ~ sQ43_spl
| e0 != op(op(e3,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f663,f832]) ).
fof(f1609,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f663,f95]) ).
fof(f1611,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f663,f91]) ).
fof(f1612,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f663,f115]) ).
fof(f1618,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f673,f116]) ).
fof(f1620,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1618,f633,f672]) ).
fof(f1634,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f699,f88]) ).
fof(f1636,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1634,f594,f698]) ).
fof(f1638,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f598,f108]) ).
fof(f1639,plain,
( sQ71_spl
| ~ sQ23_spl
| e0 != op(op(e3,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f598,f808]) ).
fof(f1640,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f598,f111]) ).
fof(f1646,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f709,f92]) ).
fof(f1647,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f709,f94]) ).
fof(f1649,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1646,f552,f708]) ).
fof(f1655,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f527,f104]) ).
fof(f1659,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1601,f578,f526]) ).
fof(f1664,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1647,f604,f708]) ).
fof(f1665,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1497,f662,f649]) ).
fof(f1666,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1288,f718,f692]) ).
fof(f1670,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1232,f718,f614]) ).
fof(f1674,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1397,f594,f620]) ).
fof(f1675,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1492,f656,f669]) ).
fof(f1677,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f689,f80]) ).
fof(f1678,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1588,f695,f643]) ).
fof(f1683,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f628,f114]) ).
fof(f1694,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f647,f89]) ).
fof(f1697,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f647,f87]) ).
fof(f1698,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1694,f698,f646]) ).
fof(f1709,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f537,f84]) ).
fof(f1710,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f537,f106]) ).
fof(f1714,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f602,f93]) ).
fof(f1720,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1714,f653,f601]) ).
fof(f1721,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f676,f116]) ).
fof(f1723,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1204,f623,f675]) ).
fof(f1725,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f537,f546]) ).
fof(f1726,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1725,f128]) ).
fof(f1727,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1726]) ).
fof(f1730,plain,
( sQ80_spl
| ~ sQ40_spl
| e1 != op(op(e0,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f654,f843]) ).
fof(f1733,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f654,f95]) ).
fof(f1738,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f569,f107]) ).
fof(f1740,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f569,f1296]) ).
fof(f1745,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f103]) ).
fof(f1746,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f559,f92]) ).
fof(f1751,plain,
( sQ70_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f527,f803]) ).
fof(f1756,plain,
( ~ sQ33_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f1597]) ).
fof(f1757,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1756]) ).
fof(f1774,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f641,f647]) ).
fof(f1775,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1774,f127]) ).
fof(f1776,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1775]) ).
fof(f1779,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1709,f588,f536]) ).
fof(f1783,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1683,f640,f627]) ).
fof(f1785,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1655,f565,f526]) ).
fof(f1787,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1455,f601,f575]) ).
fof(f1790,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1603,f682,f526]) ).
fof(f1791,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1598,f539,f526]) ).
fof(f1792,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1746,f714,f558]) ).
fof(f1793,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1745,f532,f558]) ).
fof(f1812,plain,
( sQ74_spl
| ~ sQ23_spl
| e2 != op(op(e3,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f598,f819]) ).
fof(f1816,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f725,f125]) ).
fof(f1818,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f725,f122]) ).
fof(f1825,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f725,f98]) ).
fof(f1853,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f540,f105]) ).
fof(f1856,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1853,f552,f539]) ).
fof(f1858,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1605,f552,f526]) ).
fof(f1860,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1479,f588,f692]) ).
fof(f1862,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f693,f702]) ).
fof(f1863,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1862,f128]) ).
fof(f1864,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1863]) ).
fof(f1865,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1247,f627,f666]) ).
fof(f1866,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1249,f614,f666]) ).
fof(f1869,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1733,f705,f653]) ).
fof(f1870,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1326,f721,f708]) ).
fof(f1871,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1389,f627,f679]) ).
fof(f1872,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1825,f568,f724]) ).
fof(f1873,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1710,f562,f536]) ).
fof(f1874,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1585,f656,f643]) ).
fof(f1887,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f680,f121]) ).
fof(f1889,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1887,f705,f679]) ).
fof(f1892,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1215,f555,f542]) ).
fof(f1893,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1818,f685,f724]) ).
fof(f1894,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1525,f636,f688]) ).
fof(f1896,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1640,f610,f597]) ).
fof(f1913,plain,
( ~ sQ18_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f582,f82]) ).
fof(f1916,plain,
( sQ70_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f582,f1751]) ).
fof(f1918,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f582,f108]) ).
fof(f1921,plain,
( sQ70_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1916,f636,f581,f526,f801]) ).
fof(f1922,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1918,f594,f581]) ).
fof(f1923,plain,
( sQ66_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f527,f787]) ).
fof(f1924,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f582,f1923]) ).
fof(f1925,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1924]) ).
fof(f1926,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1927,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1591,f714,f688]) ).
fof(f1929,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1677,f532,f688]) ).
fof(f1931,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f527,f533]) ).
fof(f1932,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1931,f130]) ).
fof(f1933,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1932]) ).
fof(f1937,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1576,f558,f571]) ).
fof(f1939,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1498,f597,f649]) ).
fof(f1940,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1913,f685,f581]) ).
fof(f1941,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1200,f662,f675]) ).
fof(f1945,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1611,f558,f662]) ).
fof(f1946,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1738,f555,f568]) ).
fof(f1953,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f537,f85]) ).
fof(f1962,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f598,f88]) ).
fof(f1963,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1962,f701,f597]) ).
fof(f1964,plain,
( sQ69_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1429,f630,f529,f796]) ).
fof(f1965,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1594,f701,f688]) ).
fof(f1966,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1638,f584,f597]) ).
fof(f1967,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1816,f711,f724]) ).
fof(f1968,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1697,f594,f646]) ).
fof(f1969,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1402,f630,f578]) ).
fof(f1970,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1612,f636,f662]) ).
fof(f1971,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1300,f545,f701]) ).
fof(f1981,plain,
( sQ83_spl
| ~ sQ62_spl
| e0 != op(op(e2,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f725,f856]) ).
fof(f1987,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f546,f102]) ).
fof(f1991,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1987,f532,f545]) ).
fof(f1992,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1208,f584,f623]) ).
fof(f1993,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1721,f636,f675]) ).
fof(f2000,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f722,f124]) ).
fof(f2006,plain,
( sQ74_spl
| ~ sQ20_spl
| e2 != op(op(e0,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f589,f819]) ).
fof(f2011,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f589,f111]) ).
fof(f2013,plain,
( sQ76_spl
| ~ sQ20_spl
| e3 != op(op(e0,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f589,f827]) ).
fof(f2021,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f702,f123]) ).
fof(f2023,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2021,f714,f701]) ).
fof(f2024,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1609,f714,f662]) ).
fof(f2025,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1213,f532,f571]) ).
fof(f2026,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1595,f584,f688]) ).
fof(f2027,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2000,f695,f721]) ).
fof(f2039,plain,
( sQ68_spl
| ~ sQ1_spl
| e2 != op(op(e1,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f527,f795]) ).
fof(f2136,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f709,f1607]) ).
fof(f2143,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ57_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2136,f601,f708,f662,f830]) ).
fof(f2144,plain,
( sQ78_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f663,f835]) ).
fof(f2145,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f709,f2144]) ).
fof(f2146,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2145]) ).
fof(f2147,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2146]) ).
fof(f2162,plain,
( sQ88_spl
| ~ sQ61_spl
| e2 != op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f722,f875]) ).
fof(f2169,plain,
( sQ76_spl
| ~ sQ22_spl
| e3 != op(op(e2,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f595,f827]) ).
fof(f2182,plain,
( sQ71_spl
| ~ sQ22_spl
| e0 != op(op(e2,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f595,f808]) ).
fof(f2187,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f615,f2162]) ).
fof(f2210,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f585,f109]) ).
fof(f2215,plain,
( sQ68_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f585,f2039]) ).
fof(f2217,plain,
( sQ68_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2215,f685,f584,f526,f793]) ).
fof(f2218,plain,
( sQ67_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f527,f791]) ).
fof(f2219,plain,
( sQ67_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f585,f2218]) ).
fof(f2220,plain,
( sQ67_spl
| ~ sQ1_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2219]) ).
fof(f2221,plain,
( sQ67_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2220]) ).
fof(f2240,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f605,f93]) ).
fof(f2277,plain,
( sQ83_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f670,f1981]) ).
fof(f2280,plain,
( sQ83_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2277,f614,f669,f724,f854]) ).
fof(f2284,plain,
( sQ84_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f725,f859]) ).
fof(f2285,plain,
( sQ84_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f2284]) ).
fof(f2286,plain,
( sQ84_spl
| ~ sQ62_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2285]) ).
fof(f2287,plain,
( sQ84_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2295,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2187,f568,f614,f721,f873]) ).
fof(f2323,plain,
( sQ85_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f722,f863]) ).
fof(f2350,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f559,f1730]) ).
fof(f2379,plain,
( sQ87_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f722,f870]) ).
fof(f2380,plain,
( sQ87_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f615,f2379]) ).
fof(f2381,plain,
( sQ87_spl
| ~ sQ61_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2380]) ).
fof(f2382,plain,
( sQ87_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2381]) ).
fof(f2385,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ14_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1740,f669,f568,f718,f865]) ).
fof(f2463,plain,
( sQ71_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f650,f2182]) ).
fof(f2466,plain,
( sQ85_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f719,f863]) ).
fof(f2467,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f569,f2466]) ).
fof(f2468,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2467]) ).
fof(f2469,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2528,plain,
( sQ82_spl
| ~ sQ41_spl
| e3 != op(op(e1,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f657,f851]) ).
fof(f2539,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f657,f115]) ).
fof(f2573,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f602,f2528]) ).
fof(f2574,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f559,f2573]) ).
fof(f2575,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2574]) ).
fof(f2576,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2577,plain,
( sQ81_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f657,f846]) ).
fof(f2578,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f602,f2577]) ).
fof(f2579,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2578]) ).
fof(f2580,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2587,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2350,f708,f558,f653,f841]) ).
fof(f2648,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f699,f1639]) ).
fof(f2658,plain,
( sQ79_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f654,f839]) ).
fof(f2659,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f559,f2658]) ).
fof(f2660,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2659]) ).
fof(f2661,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2660]) ).
fof(f2670,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2539,f630,f656]) ).
fof(f2673,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2240,f656,f604]) ).
fof(f2689,plain,
( sQ68_spl
| ~ sQ3_spl
| e2 != op(op(e3,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f533,f795]) ).
fof(f2692,plain,
( sQ65_spl
| ~ sQ3_spl
| e1 != op(op(e3,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f533,f784]) ).
fof(f2776,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ36_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f641,f2169]) ).
fof(f2794,plain,
( sQ80_spl
| ~ sQ43_spl
| e1 != op(op(e3,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f663,f843]) ).
fof(f2795,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ56_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f706,f2794]) ).
fof(f2816,plain,
( sQ65_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f686,f2692]) ).
fof(f2817,plain,
( sQ65_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f631,f2816]) ).
fof(f2818,plain,
( sQ65_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2817]) ).
fof(f2819,plain,
( sQ65_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2818]) ).
fof(f2822,plain,
( sQ66_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f533,f787]) ).
fof(f2823,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f686,f2822]) ).
fof(f2824,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2823]) ).
fof(f2825,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2824]) ).
fof(f2853,plain,
( sQ71_spl
| ~ sQ22_spl
| ~ sQ39_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2463,f692,f649,f594,f806]) ).
fof(f2854,plain,
( sQ73_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f595,f815]) ).
fof(f2866,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f654,f117]) ).
fof(f2921,plain,
( sQ68_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f683,f2689]) ).
fof(f2928,plain,
( sQ82_spl
| ~ sQ40_spl
| e3 != op(op(e0,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f654,f851]) ).
fof(f2931,plain,
( sQ73_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f650,f2854]) ).
fof(f2932,plain,
( sQ73_spl
| ~ sQ22_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2931]) ).
fof(f2933,plain,
( sQ73_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2932]) ).
fof(f2934,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f693,f1812]) ).
fof(f2973,plain,
( sQ72_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f598,f811]) ).
fof(f3010,plain,
( sQ82_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f553,f2928]) ).
fof(f3015,plain,
( ~ sQ6_spl
| sQ74_spl
| ~ sQ23_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f2934]) ).
fof(f3016,plain,
( ~ sQ6_spl
| sQ74_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3015]) ).
fof(f3017,plain,
( sQ75_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f598,f822]) ).
fof(f3018,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f693,f3017]) ).
fof(f3019,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3018]) ).
fof(f3020,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3019]) ).
fof(f3027,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2210,f610,f584]) ).
fof(f3033,plain,
( sQ82_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3010,f610,f552,f653,f849]) ).
fof(f3036,plain,
( sQ78_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f654,f835]) ).
fof(f3037,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f553,f3036]) ).
fof(f3038,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3037]) ).
fof(f3039,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3044,plain,
( sQ76_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f2013]) ).
fof(f3095,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f670,f118]) ).
fof(f3109,plain,
( ~ sQ39_spl
| sQ76_spl
| ~ sQ20_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f3044]) ).
fof(f3110,plain,
( ~ sQ39_spl
| sQ76_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3109]) ).
fof(f3111,plain,
( sQ72_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f589,f811]) ).
fof(f3112,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f543,f3111]) ).
fof(f3113,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3112]) ).
fof(f3114,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3113]) ).
fof(f3124,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f553,f91]) ).
fof(f3126,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ56_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2795,f552,f705,f662,f841]) ).
fof(f3135,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f2011]) ).
fof(f3136,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3135]) ).
fof(f3137,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f579,f82]) ).
fof(f3148,plain,
( sQ83_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f722,f856]) ).
fof(f3185,plain,
( sQ77_spl
| ~ sQ41_spl
| e0 != op(op(e1,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f657,f832]) ).
fof(f3226,plain,
( sQ83_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f621,f3148]) ).
fof(f3244,plain,
( sQ77_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f611,f3185]) ).
fof(f3245,plain,
( sQ77_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f706,f3244]) ).
fof(f3246,plain,
( sQ77_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3245]) ).
fof(f3247,plain,
( sQ77_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3246]) ).
fof(f3248,plain,
( sQ79_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f657,f839]) ).
fof(f3249,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f611,f3248]) ).
fof(f3250,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3249]) ).
fof(f3251,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3250]) ).
fof(f3273,plain,
( sQ81_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f663,f846]) ).
fof(f3276,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3273,f705,f662,f844]) ).
fof(f3283,plain,
( sQ68_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2921,f581,f682,f532,f793]) ).
fof(f3284,plain,
( sQ69_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f533,f798]) ).
fof(f3417,plain,
( sQ86_spl
| ~ sQ62_spl
| e1 != op(op(e2,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f725,f867]) ).
fof(f3424,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f683,f3284]) ).
fof(f3425,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3424]) ).
fof(f3426,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3425]) ).
fof(f3427,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2866,f640,f653]) ).
fof(f3432,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3124,f656,f552]) ).
fof(f3447,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1953,f640,f536]) ).
fof(f3516,plain,
( sQ65_spl
| ~ sQ2_spl
| e1 != op(op(e2,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f530,f784]) ).
fof(f3570,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f631,f1508]) ).
fof(f3575,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ33_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3570,f584,f630,f529,f801]) ).
fof(f3583,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f530,f533]) ).
fof(f3584,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3583,f131]) ).
fof(f3585,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3584]) ).
fof(f3587,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3137,f682,f578]) ).
fof(f3607,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f566,f97]) ).
fof(f3652,plain,
( sQ86_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f667,f3417]) ).
fof(f3657,plain,
( sQ86_spl
| ~ sQ62_spl
| ~ sQ44_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3652,f565,f666,f724,f865]) ).
fof(f3661,plain,
( sQ87_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f725,f870]) ).
fof(f3662,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f3661]) ).
fof(f3663,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3662]) ).
fof(f3664,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3663]) ).
fof(f3670,plain,
( sQ88_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f566,f1295]) ).
fof(f3673,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3607,f669,f565]) ).
fof(f3674,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3095,f643,f669]) ).
fof(f3684,plain,
( sQ74_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f546,f2006]) ).
fof(f3688,plain,
( sQ74_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3684,f698,f545,f588,f817]) ).
fof(f3689,plain,
( sQ73_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f589,f815]) ).
fof(f3690,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f3689]) ).
fof(f3691,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3690]) ).
fof(f3692,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3691]) ).
fof(f3695,plain,
( sQ88_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3670,f620,f565,f718,f873]) ).
fof(f3714,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2776,f545,f640,f594,f825]) ).
fof(f3852,plain,
( sQ75_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f595,f822]) ).
fof(f3853,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f641,f3852]) ).
fof(f3854,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3853]) ).
fof(f3855,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3854]) ).
fof(f3863,plain,
( sQ83_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3226,f666,f620,f721,f854]) ).
fof(f3872,plain,
( sQ85_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2323,f620,f721,f861]) ).
fof(f3907,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f637,f3516]) ).
fof(f3912,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ35_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3907,f682,f636,f529,f782]) ).
fof(f3913,plain,
( sQ67_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f791]) ).
fof(f3914,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f637,f3913]) ).
fof(f3915,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3914]) ).
fof(f3916,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3915]) ).
fof(f3927,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2648,f640,f698,f597,f806]) ).
fof(f3929,plain,
( sQ72_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2973,f698,f597,f809]) ).
fof(f3930,plain,
$false,
inference(sat_refutation,[status(thm)],[f535,f548,f561,f574,f587,f600,f613,f626,f639,f652,f665,f678,f691,f704,f717,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f752,f754,f755,f756,f757,f758,f759,f760,f761,f762,f766,f767,f768,f770,f771,f772,f774,f775,f776,f778,f779,f780,f788,f792,f799,f800,f804,f805,f812,f816,f823,f824,f828,f829,f836,f840,f847,f848,f852,f853,f860,f864,f871,f872,f876,f877,f884,f885,f886,f887,f895,f896,f897,f898,f899,f903,f905,f906,f910,f911,f912,f913,f917,f918,f919,f924,f925,f926,f927,f931,f932,f933,f934,f938,f940,f941,f945,f946,f947,f948,f952,f953,f954,f955,f959,f960,f961,f962,f966,f967,f968,f969,f973,f975,f976,f980,f981,f982,f983,f987,f989,f994,f995,f996,f997,f1001,f1002,f1003,f1008,f1009,f1010,f1011,f1015,f1016,f1017,f1018,f1022,f1024,f1029,f1030,f1031,f1032,f1036,f1037,f1038,f1039,f1043,f1044,f1045,f1046,f1050,f1051,f1052,f1053,f1057,f1059,f1060,f1064,f1065,f1066,f1071,f1073,f1074,f1078,f1079,f1080,f1081,f1085,f1086,f1087,f1088,f1092,f1093,f1094,f1095,f1099,f1100,f1101,f1102,f1106,f1108,f1113,f1114,f1115,f1116,f1120,f1121,f1122,f1123,f1127,f1128,f1129,f1130,f1134,f1135,f1136,f1137,f1141,f1143,f1144,f1148,f1149,f1150,f1151,f1155,f1157,f1158,f1162,f1163,f1164,f1165,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1182,f1183,f1184,f1185,f1186,f1188,f1189,f1190,f1193,f1194,f1195,f1199,f1220,f1223,f1225,f1228,f1238,f1241,f1244,f1252,f1255,f1258,f1260,f1263,f1264,f1265,f1266,f1267,f1272,f1274,f1279,f1285,f1286,f1287,f1293,f1305,f1311,f1314,f1323,f1331,f1343,f1344,f1345,f1347,f1362,f1363,f1364,f1369,f1371,f1375,f1379,f1381,f1384,f1386,f1406,f1409,f1410,f1412,f1413,f1416,f1417,f1418,f1426,f1431,f1432,f1453,f1454,f1466,f1468,f1472,f1473,f1474,f1475,f1476,f1481,f1482,f1483,f1484,f1486,f1514,f1516,f1518,f1535,f1546,f1552,f1553,f1554,f1555,f1558,f1560,f1561,f1562,f1563,f1566,f1567,f1569,f1570,f1571,f1589,f1620,f1636,f1649,f1659,f1664,f1665,f1666,f1670,f1674,f1675,f1678,f1698,f1720,f1723,f1727,f1757,f1776,f1779,f1783,f1785,f1787,f1790,f1791,f1792,f1793,f1856,f1858,f1860,f1864,f1865,f1866,f1869,f1870,f1871,f1872,f1873,f1874,f1889,f1892,f1893,f1894,f1896,f1921,f1922,f1926,f1927,f1929,f1933,f1937,f1939,f1940,f1941,f1945,f1946,f1963,f1964,f1965,f1966,f1967,f1968,f1969,f1970,f1971,f1991,f1992,f1993,f2023,f2024,f2025,f2026,f2027,f2143,f2147,f2217,f2221,f2280,f2287,f2295,f2382,f2385,f2469,f2576,f2580,f2587,f2661,f2670,f2673,f2819,f2825,f2853,f2933,f3016,f3020,f3027,f3033,f3039,f3110,f3114,f3126,f3136,f3247,f3251,f3276,f3283,f3426,f3427,f3432,f3447,f3575,f3585,f3587,f3657,f3664,f3673,f3674,f3688,f3692,f3695,f3714,f3855,f3863,f3872,f3912,f3916,f3927,f3929]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:58:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 6.38/1.32 % Refutation found
% 6.38/1.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.38/1.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.57/1.34 % Elapsed time: 0.962928 seconds
% 0.57/1.34 % CPU time: 7.319024 seconds
% 0.57/1.34 % Total memory used: 68.932 MB
% 0.57/1.34 % Net memory used: 67.943 MB
%------------------------------------------------------------------------------