%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG159+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 11:48:41 AM UTC 2026
% Result : Unsatisfiable 2.48s 0.75s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 183
% Syntax : Number of formulae : 1662 ( 55 unt; 163 def)
% Number of atoms : 6702 (3546 equ)
% Maximal formula atoms : 192 ( 4 avg)
% Number of connectives : 9111 (4071 ~;3001 |;1848 &)
% ( 191 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 165 ( 163 usr; 164 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(op(e0,e0),op(op(e0,e0),e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(op(e0,e0),op(op(e0,e0),e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(op(e0,e0),op(op(e0,e0),e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(op(e1,e1),op(op(e1,e1),e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(op(e1,e1),op(op(e1,e1),e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(op(e1,e1),op(op(e1,e1),e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(op(e1,e1),op(op(e1,e1),e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(op(e2,e2),op(op(e2,e2),e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(op(e2,e2),op(op(e2,e2),e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(op(e2,e2),op(op(e2,e2),e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(op(e2,e2),op(op(e2,e2),e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(op(e3,e3),op(op(e3,e3),e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(op(e3,e3),op(op(e3,e3),e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(op(e3,e3),op(op(e3,e3),e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(op(e3,e3),op(op(e3,e3),e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/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(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(e3,op(e3,e0)) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e3,op(e3,e1)) != e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e3,op(e3,e2)) != e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e3,op(e3,e3)) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e3,op(e3,e0)) != e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f144,plain,
( op(e3,op(e3,e1)) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( op(e3,op(e3,e2)) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f146,plain,
( op(e3,op(e3,e3)) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f147,plain,
( e3 != op(op(e0,e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f148,plain,
( e3 != op(op(e0,e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f151,plain,
( e3 != op(op(e0,e0),op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f152,plain,
( e3 != op(op(e0,e0),op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f157,plain,
( e1 != op(op(e0,e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f158,plain,
( e1 != op(op(e0,e0),op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f161,plain,
( e2 != op(op(e1,e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f162,plain,
( e2 != op(op(e1,e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e3 != op(op(e1,e1),op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f164,plain,
( e3 != op(op(e1,e1),op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e0 != op(op(e1,e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f166,plain,
( e0 != op(op(e1,e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,plain,
( e0 != op(op(e1,e1),op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f170,plain,
( e0 != op(op(e1,e1),op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e3 != op(op(e2,e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f172,plain,
( e3 != op(op(e2,e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f175,plain,
( e3 != op(op(e2,e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f176,plain,
( e3 != op(op(e2,e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f179,plain,
( e1 != op(op(e2,e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f180,plain,
( e1 != op(op(e2,e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e0 != op(op(e2,e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f182,plain,
( e0 != op(op(e2,e2),op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e2 != op(op(e3,e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f184,plain,
( e2 != op(op(e3,e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f187,plain,
( e2 != op(op(e3,e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f188,plain,
( e2 != op(op(e3,e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
( e1 != op(op(e3,e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f192,plain,
( e1 != op(op(e3,e3),op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( e0 != op(op(e3,e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f194,plain,
( e0 != op(op(e3,e3),op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,definition,
( sP2_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f196,plain,
( sP0_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f195]) ).
fof(f197,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(e3,e2) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(e3,e3) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
( op(e2,op(e2,e0)) != e0
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f201,plain,
( op(e2,op(e2,e1)) != e1
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f202,plain,
( op(e2,op(e2,e2)) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f203,plain,
( op(e2,op(e2,e3)) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f204,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f206,definition,
( sP3_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f207,plain,
( sP1_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f206]) ).
fof(f208,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP3_prd )
| sP1_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
( op(e3,e2) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( op(e2,e3) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f211,plain,
( op(e3,op(e3,e0)) != e0
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f212,plain,
( op(e3,op(e3,e1)) != e1
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f214,plain,
( op(e3,op(e3,e3)) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f215,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f217,definition,
( sP4_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f218,plain,
( sP2_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f195,f217]) ).
fof(f219,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP4_prd )
| sP2_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP4_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
( op(e3,e1) = e3
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e3,e3) != e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f222,plain,
( op(e1,op(e1,e0)) != e0
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f223,plain,
( op(e1,op(e1,e1)) != e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f224,plain,
( op(e1,op(e1,e2)) != e2
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f225,plain,
( op(e1,op(e1,e3)) != e3
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f226,plain,
( ~ sP4_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f228,definition,
( sP5_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f229,plain,
( sP3_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f206,f228]) ).
fof(f230,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP5_prd )
| sP3_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( op(e3,e1) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( op(e1,e3) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f233,plain,
( op(e3,op(e3,e0)) != e0
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f234,plain,
( op(e3,op(e3,e1)) != e1
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f235,plain,
( op(e3,op(e3,e2)) != e2
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f236,plain,
( op(e3,op(e3,e3)) != e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f237,plain,
( ~ sP5_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f239,definition,
( sP6_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f240,plain,
( sP4_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f217,f239]) ).
fof(f241,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP6_prd )
| sP4_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP6_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
( op(e3,e0) = e3
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( op(e3,e3) != e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op(e0,op(e0,e0)) != e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( op(e0,op(e0,e1)) != e1
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,plain,
( op(e0,op(e0,e2)) != e2
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f247,plain,
( op(e0,op(e0,e3)) != e3
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f248,plain,
( ~ sP6_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f250,definition,
( sP7_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f251,plain,
( sP5_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f228,f250]) ).
fof(f252,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP7_prd )
| sP5_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP7_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(e3,e0) = e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e0,e3) = e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
( op(e3,op(e3,e1)) != e1
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,plain,
( op(e3,op(e3,e2)) != e2
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,plain,
( op(e3,op(e3,e3)) != e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,plain,
( ~ sP7_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f261,definition,
( sP8_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f262,plain,
( sP6_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f239,f261]) ).
fof(f263,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP8_prd )
| sP6_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP8_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f264,plain,
( op(e2,e3) = e2
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
( op(e2,e2) != e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f266,plain,
( op(e3,op(e3,e0)) != e0
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f267,plain,
( op(e3,op(e3,e1)) != e1
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f268,plain,
( op(e3,op(e3,e2)) != e2
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f269,plain,
( op(e3,op(e3,e3)) != e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f270,plain,
( ~ sP8_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f272,definition,
( sP9_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f273,plain,
( sP7_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f272]) ).
fof(f274,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP9_prd )
| sP7_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP9_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f273]) ).
fof(f275,plain,
( op(e2,e3) = e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f276,plain,
( op(e3,e2) = e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f277,plain,
( op(e2,op(e2,e0)) != e0
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f278,plain,
( op(e2,op(e2,e1)) != e1
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f279,plain,
( op(e2,op(e2,e2)) != e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f280,plain,
( op(e2,op(e2,e3)) != e3
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f281,plain,
( ~ sP9_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f283,definition,
( sP10_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f284,plain,
( sP8_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f261,f283]) ).
fof(f285,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP10_prd )
| sP8_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP10_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e2,e2) = e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f287,plain,
( op(e2,e2) != e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f288,plain,
( op(e2,op(e2,e0)) != e0
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f289,plain,
( op(e2,op(e2,e1)) != e1
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f290,plain,
( op(e2,op(e2,e2)) != e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f291,plain,
( op(e2,op(e2,e3)) != e3
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f292,plain,
( ~ sP10_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f294,definition,
( sP11_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f295,plain,
( sP9_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f272,f294]) ).
fof(f296,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP11_prd )
| sP9_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP11_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f297,plain,
( op(e2,e2) = e2
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f299,plain,
( op(e2,op(e2,e0)) != e0
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f300,plain,
( op(e2,op(e2,e1)) != e1
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f301,plain,
( op(e2,op(e2,e2)) != e2
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f302,plain,
( op(e2,op(e2,e3)) != e3
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f303,plain,
( ~ sP11_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f305,definition,
( sP12_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f306,plain,
( sP10_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f283,f305]) ).
fof(f307,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP12_prd )
| sP10_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP12_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f306]) ).
fof(f308,plain,
( op(e2,e1) = e2
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f309,plain,
( op(e2,e2) != e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f310,plain,
( op(e1,op(e1,e0)) != e0
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f311,plain,
( op(e1,op(e1,e1)) != e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f312,plain,
( op(e1,op(e1,e2)) != e2
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f313,plain,
( op(e1,op(e1,e3)) != e3
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f314,plain,
( ~ sP12_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f316,definition,
( sP13_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f317,plain,
( sP11_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f294,f316]) ).
fof(f318,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP13_prd )
| sP11_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP13_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op(e2,e1) = e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f320,plain,
( op(e1,e2) = e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f321,plain,
( op(e2,op(e2,e0)) != e0
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f322,plain,
( op(e2,op(e2,e1)) != e1
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f323,plain,
( op(e2,op(e2,e2)) != e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f324,plain,
( op(e2,op(e2,e3)) != e3
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f325,plain,
( ~ sP13_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f327,definition,
( sP14_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f328,plain,
( sP12_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f305,f327]) ).
fof(f329,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP14_prd )
| sP12_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP14_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( op(e2,e0) = e2
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( op(e2,e2) != e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f332,plain,
( op(e0,op(e0,e0)) != e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f333,plain,
( op(e0,op(e0,e1)) != e1
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f334,plain,
( op(e0,op(e0,e2)) != e2
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f335,plain,
( op(e0,op(e0,e3)) != e3
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f336,plain,
( ~ sP14_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f338,definition,
( sP15_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f339,plain,
( sP13_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f338]) ).
fof(f340,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP15_prd )
| sP13_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP15_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f341,plain,
( op(e2,e0) = e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( op(e0,e2) = e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f344,plain,
( op(e2,op(e2,e1)) != e1
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f345,plain,
( op(e2,op(e2,e2)) != e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,plain,
( op(e2,op(e2,e3)) != e3
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f347,plain,
( ~ sP15_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f349,definition,
( sP16_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f350,plain,
( sP14_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f349]) ).
fof(f351,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f350]) ).
fof(f352,plain,
( op(e1,e3) = e1
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( op(e1,e1) != e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f354,plain,
( op(e3,op(e3,e0)) != e0
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f355,plain,
( op(e3,op(e3,e1)) != e1
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f356,plain,
( op(e3,op(e3,e2)) != e2
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f357,plain,
( op(e3,op(e3,e3)) != e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f358,plain,
( ~ sP16_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f359,plain,
( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e1,e1) = e3
| op(e1,e3) != e1
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f360,definition,
( sP17_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f361,plain,
( sP15_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f338,f360]) ).
fof(f362,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
( op(e1,e3) = e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f364,plain,
( op(e3,e1) = e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f365,plain,
( op(e1,op(e1,e0)) != e0
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f366,plain,
( op(e1,op(e1,e1)) != e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f367,plain,
( op(e1,op(e1,e2)) != e2
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( op(e1,op(e1,e3)) != e3
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f369,plain,
( ~ sP17_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f371,definition,
( sP18_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f372,plain,
( sP16_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f349,f371]) ).
fof(f373,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f372]) ).
fof(f374,plain,
( op(e1,e2) = e1
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
( op(e1,e1) != e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f376,plain,
( op(e2,op(e2,e0)) != e0
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f377,plain,
( op(e2,op(e2,e1)) != e1
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f378,plain,
( op(e2,op(e2,e2)) != e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f379,plain,
( op(e2,op(e2,e3)) != e3
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f380,plain,
( ~ sP18_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f382,definition,
( sP19_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f383,plain,
( sP17_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f360,f382]) ).
fof(f384,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP19_prd )
| sP17_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e1,e2) = e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(e2,e1) = e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(e1,op(e1,e0)) != e0
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( op(e1,op(e1,e1)) != e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,plain,
( op(e1,op(e1,e2)) != e2
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,plain,
( op(e1,op(e1,e3)) != e3
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f391,plain,
( ~ sP19_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f392,plain,
( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f393,definition,
( sP20_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f394,plain,
( sP18_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f371,f393]) ).
fof(f395,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f394]) ).
fof(f396,plain,
( op(e1,e1) = e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f397,plain,
( op(e1,e1) != e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f399,plain,
( op(e1,op(e1,e1)) != e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f400,plain,
( op(e1,op(e1,e2)) != e2
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f401,plain,
( op(e1,op(e1,e3)) != e3
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f402,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f404,definition,
( sP21_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f405,plain,
( sP19_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f404]) ).
fof(f406,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP21_prd )
| sP19_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( op(e1,e1) = e1
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f409,plain,
( op(e1,op(e1,e0)) != e0
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f410,plain,
( op(e1,op(e1,e1)) != e1
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f411,plain,
( op(e1,op(e1,e2)) != e2
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f412,plain,
( op(e1,op(e1,e3)) != e3
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f413,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f415,definition,
( sP22_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f416,plain,
( sP20_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f393,f415]) ).
fof(f417,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f418,plain,
( op(e1,e0) = e1
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f419,plain,
( op(e1,e1) != e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f420,plain,
( op(e0,op(e0,e0)) != e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f421,plain,
( op(e0,op(e0,e1)) != e1
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f422,plain,
( op(e0,op(e0,e2)) != e2
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f423,plain,
( op(e0,op(e0,e3)) != e3
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f424,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f426,definition,
( sP23_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f427,plain,
( sP21_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f404,f426]) ).
fof(f428,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP23_prd )
| sP21_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(e1,e0) = e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( op(e0,e1) = e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f431,plain,
( op(e1,op(e1,e0)) != e0
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f432,plain,
( op(e1,op(e1,e1)) != e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f433,plain,
( op(e1,op(e1,e2)) != e2
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,plain,
( op(e1,op(e1,e3)) != e3
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f435,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f437,definition,
( sP24_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f438,plain,
( sP22_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f415,f437]) ).
fof(f439,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f438]) ).
fof(f440,plain,
( op(e0,e3) = e0
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f441,plain,
( op(e0,e0) != e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f442,plain,
( op(e3,op(e3,e0)) != e0
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f443,plain,
( op(e3,op(e3,e1)) != e1
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f444,plain,
( op(e3,op(e3,e2)) != e2
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f445,plain,
( op(e3,op(e3,e3)) != e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f446,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f447,plain,
( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f448,definition,
( sP25_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f449,plain,
( sP23_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f426,f448]) ).
fof(f450,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP25_prd )
| sP23_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f451,plain,
( op(e0,e3) = e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f452,plain,
( op(e3,e0) = e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f453,plain,
( op(e0,op(e0,e0)) != e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f454,plain,
( op(e0,op(e0,e1)) != e1
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f455,plain,
( op(e0,op(e0,e2)) != e2
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f456,plain,
( op(e0,op(e0,e3)) != e3
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f457,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f459,definition,
( sP26_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f460,plain,
( sP24_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f437,f459]) ).
fof(f461,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( op(e0,e2) = e0
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f463,plain,
( op(e0,e0) != e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f464,plain,
( op(e2,op(e2,e0)) != e0
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f465,plain,
( op(e2,op(e2,e1)) != e1
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f466,plain,
( op(e2,op(e2,e2)) != e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f467,plain,
( op(e2,op(e2,e3)) != e3
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f468,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f470,definition,
( sP27_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f471,plain,
( sP25_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f448,f470]) ).
fof(f472,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP27_prd )
| sP25_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f471]) ).
fof(f473,plain,
( op(e0,e2) = e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f474,plain,
( op(e2,e0) = e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f475,plain,
( op(e0,op(e0,e0)) != e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f476,plain,
( op(e0,op(e0,e1)) != e1
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f477,plain,
( op(e0,op(e0,e2)) != e2
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f478,plain,
( op(e0,op(e0,e3)) != e3
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f479,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f481,definition,
( sP28_prd
<=> ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f482,plain,
( sP26_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f459,f481]) ).
fof(f483,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f482]) ).
fof(f484,plain,
( op(e0,e1) = e0
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( op(e0,e0) != e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f486,plain,
( op(e1,op(e1,e0)) != e0
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f487,plain,
( op(e1,op(e1,e1)) != e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f488,plain,
( op(e1,op(e1,e2)) != e2
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f489,plain,
( op(e1,op(e1,e3)) != e3
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f490,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f491,plain,
( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f492,definition,
( sP29_prd
<=> ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f493,plain,
( sP27_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f470,f492]) ).
fof(f494,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP29_prd )
| sP27_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f493]) ).
fof(f495,plain,
( op(e0,e1) = e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f496,plain,
( op(e1,e0) = e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f497,plain,
( op(e0,op(e0,e0)) != e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f499,plain,
( op(e0,op(e0,e2)) != e2
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f500,plain,
( op(e0,op(e0,e3)) != e3
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f501,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f503,plain,
( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP28_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f481]) ).
fof(f504,plain,
( op(e0,e0) = e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f505,plain,
( op(e0,e0) != e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f507,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f508,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f509,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f511,plain,
( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP29_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f492]) ).
fof(f512,plain,
( op(e0,e0) = e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f514,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f515,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f516,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f517,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f519,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f519,f522,f525,f528]) ).
fof(f532,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f532,f535,f538,f541]) ).
fof(f545,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f545,f548,f551,f554]) ).
fof(f558,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f558,f561,f564,f567]) ).
fof(f571,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f571,f574,f577,f580]) ).
fof(f584,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f584,f587,f590,f593]) ).
fof(f597,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f597,f600,f603,f606]) ).
fof(f610,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f610,f613,f616,f619]) ).
fof(f623,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f623,f626,f629,f632]) ).
fof(f636,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f636,f639,f642,f645]) ).
fof(f649,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f649,f652,f655,f658]) ).
fof(f662,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f662,f665,f668,f671]) ).
fof(f675,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f675,f678,f681,f684]) ).
fof(f688,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f688,f691,f694,f697]) ).
fof(f701,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f701,f704,f707,f710]) ).
fof(f714,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f723,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f714,f717,f720,f723]) ).
fof(f727,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f519,f532,f545,f558]) ).
fof(f728,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f519,f571,f623,f675]) ).
fof(f729,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f522,f535,f548,f561]) ).
fof(f730,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f522,f574,f626,f678]) ).
fof(f731,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f525,f538,f551,f564]) ).
fof(f732,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f525,f577,f629,f681]) ).
fof(f733,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f528,f541,f554,f567]) ).
fof(f734,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f528,f580,f632,f684]) ).
fof(f735,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f571,f584,f597,f610]) ).
fof(f736,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f532,f584,f636,f688]) ).
fof(f737,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f574,f587,f600,f613]) ).
fof(f738,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f535,f587,f639,f691]) ).
fof(f739,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f577,f590,f603,f616]) ).
fof(f740,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f538,f590,f642,f694]) ).
fof(f741,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f580,f593,f606,f619]) ).
fof(f742,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f541,f593,f645,f697]) ).
fof(f743,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f623,f636,f649,f662]) ).
fof(f744,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f545,f597,f649,f701]) ).
fof(f745,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f626,f639,f652,f665]) ).
fof(f746,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f548,f600,f652,f704]) ).
fof(f747,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f629,f642,f655,f668]) ).
fof(f748,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f551,f603,f655,f707]) ).
fof(f749,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f632,f645,f658,f671]) ).
fof(f750,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f554,f606,f658,f710]) ).
fof(f751,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f675,f688,f701,f714]) ).
fof(f752,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f558,f610,f662,f714]) ).
fof(f753,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f678,f691,f704,f717]) ).
fof(f754,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f561,f613,f665,f717]) ).
fof(f755,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f681,f694,f707,f720]) ).
fof(f756,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f564,f616,f668,f720]) ).
fof(f757,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f684,f697,f710,f723]) ).
fof(f758,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f567,f619,f671,f723]) ).
fof(f759,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f759,f723]) ).
fof(f763,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f759,f723]) ).
fof(f764,definition,
( sQ65_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( sQ65_spl
| op(e3,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f759,f764]) ).
fof(f768,definition,
( sQ66_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( sQ66_spl
| op(e3,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f759,f768]) ).
fof(f772,definition,
( sQ67_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ67_spl
| op(e3,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f774,plain,
( sQ67_spl
| op(e3,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f139,f759,f772]) ).
fof(f776,definition,
( sQ68_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( sQ68_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,plain,
( ~ sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f140,f759,f776]) ).
fof(f780,definition,
( sQ69_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( sQ63_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f141,f780,f723]) ).
fof(f785,plain,
( ~ sQ65_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f143,f780,f764]) ).
fof(f786,plain,
( ~ sQ66_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f144,f780,f768]) ).
fof(f787,plain,
( ~ sQ67_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f145,f780,f772]) ).
fof(f788,plain,
( ~ sQ68_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f146,f780,f776]) ).
fof(f789,definition,
( sQ70_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ70_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
( sQ71_spl
<=> e3 = op(op(e0,e0),op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( sQ71_spl
| e3 != op(op(e0,e0),op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ sQ71_spl
| ~ sQ2_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f148,f789,f525,f792]) ).
fof(f800,definition,
( sQ73_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( sQ73_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,plain,
( ~ sQ71_spl
| ~ sQ1_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f152,f800,f522,f792]) ).
fof(f804,definition,
( sQ74_spl
<=> e1 = op(op(e0,e0),op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( sQ74_spl
| e1 != op(op(e0,e0),op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f808,definition,
( sQ75_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( sQ75_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f812,plain,
( ~ sQ74_spl
| ~ sQ2_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f158,f808,f525,f804]) ).
fof(f813,definition,
( sQ76_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( sQ76_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ77_spl
<=> e3 = op(op(e1,e1),op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f820,definition,
( sQ78_spl
<=> e2 = op(op(e1,e1),op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( sQ78_spl
| e2 != op(op(e1,e1),op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( ~ sQ78_spl
| ~ sQ23_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f162,f813,f593,f820]) ).
fof(f824,definition,
( sQ79_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( sQ79_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( ~ sQ77_spl
| ~ sQ20_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f164,f824,f584,f816]) ).
fof(f828,definition,
( sQ80_spl
<=> e0 = op(op(e1,e1),op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( sQ80_spl
| e0 != op(op(e1,e1),op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( ~ sQ80_spl
| ~ sQ23_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f166,f824,f593,f828]) ).
fof(f832,definition,
( sQ81_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ81_spl
| e3 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( sQ81_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f836,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f170,f832,f590,f828]) ).
fof(f837,definition,
( sQ82_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ82_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ83_spl
<=> e3 = op(op(e2,e2),op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ83_spl
| e3 != op(op(e2,e2),op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( ~ sQ83_spl
| ~ sQ41_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f172,f837,f652,f840]) ).
fof(f844,definition,
( sQ84_spl
<=> e1 = op(op(e2,e2),op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( sQ84_spl
| e1 != op(op(e2,e2),op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f848,definition,
( sQ85_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( sQ85_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f176,f848,f649,f840]) ).
fof(f852,definition,
( sQ86_spl
<=> e0 = op(op(e2,e2),op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ86_spl
| e0 != op(op(e2,e2),op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f856,definition,
( sQ87_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( sQ87_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( ~ sQ84_spl
| ~ sQ40_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f180,f856,f649,f844]) ).
fof(f860,plain,
( ~ sQ86_spl
| ~ sQ41_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f182,f856,f652,f852]) ).
fof(f861,definition,
( sQ88_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f864,definition,
( sQ89_spl
<=> e2 = op(op(e3,e3),op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( sQ89_spl
| e2 != op(op(e3,e3),op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( ~ sQ89_spl
| ~ sQ61_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f184,f861,f717,f864]) ).
fof(f868,definition,
( sQ90_spl
<=> e1 = op(op(e3,e3),op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f872,definition,
( sQ91_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( sQ91_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( ~ sQ89_spl
| ~ sQ60_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f188,f872,f714,f864]) ).
fof(f876,definition,
( sQ92_spl
<=> e0 = op(op(e3,e3),op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( sQ92_spl
| e0 != op(op(e3,e3),op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f880,definition,
( sQ93_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( sQ93_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( ~ sQ90_spl
| ~ sQ60_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f192,f880,f714,f868]) ).
fof(f884,plain,
( ~ sQ92_spl
| ~ sQ61_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f194,f880,f717,f876]) ).
fof(f885,definition,
( sQ94_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( sQ59_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f759,f885,f710]) ).
fof(f889,plain,
( ~ sQ62_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f759,f885,f720]) ).
fof(f890,definition,
( sQ95_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( sQ95_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( ~ sQ95_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f759,f885,f890]) ).
fof(f894,definition,
( sQ96_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( sQ96_spl
| op(e2,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,plain,
( ~ sQ96_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f201,f759,f885,f894]) ).
fof(f898,definition,
( sQ97_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( sQ97_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( ~ sQ97_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f202,f759,f885,f898]) ).
fof(f902,definition,
( sQ98_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( sQ98_spl
| op(e2,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( ~ sQ98_spl
| sQ94_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f203,f759,f885,f902]) ).
fof(f906,plain,
( ~ sQ94_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f204,f759,f885]) ).
fof(f908,definition,
( sQ99_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( sQ59_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f209,f780,f908,f710]) ).
fof(f912,plain,
( sQ47_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f210,f780,f908,f671]) ).
fof(f913,plain,
( ~ sQ65_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f211,f780,f908,f764]) ).
fof(f914,plain,
( ~ sQ66_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f212,f780,f908,f768]) ).
fof(f916,plain,
( ~ sQ68_spl
| sQ99_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f214,f780,f908,f776]) ).
fof(f917,plain,
( ~ sQ99_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f215,f780,f908]) ).
fof(f919,definition,
( sQ100_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( sQ55_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f220,f885,f919,f697]) ).
fof(f923,plain,
( ~ sQ61_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f221,f885,f919,f717]) ).
fof(f924,definition,
( sQ101_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ101_spl
| op(e1,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f926,plain,
( sQ101_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( ~ sQ101_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f222,f885,f919,f924]) ).
fof(f928,definition,
( sQ102_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ102_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f930,plain,
( sQ102_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( ~ sQ102_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f223,f885,f919,f928]) ).
fof(f932,definition,
( sQ103_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ103_spl
| op(e1,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f934,plain,
( sQ103_spl
| op(e1,op(e1,e2)) != e2 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( ~ sQ103_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f224,f885,f919,f932]) ).
fof(f936,definition,
( sQ104_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f937,plain,
( ~ sQ104_spl
| op(e1,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f938,plain,
( sQ104_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,plain,
( ~ sQ104_spl
| sQ100_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f225,f885,f919,f936]) ).
fof(f940,plain,
( ~ sQ100_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f226,f885,f919]) ).
fof(f942,definition,
( sQ105_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( sQ55_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f231,f908,f942,f697]) ).
fof(f946,plain,
( sQ31_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f232,f908,f942,f619]) ).
fof(f947,plain,
( ~ sQ65_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f233,f908,f942,f764]) ).
fof(f948,plain,
( ~ sQ66_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f234,f908,f942,f768]) ).
fof(f949,plain,
( ~ sQ67_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f235,f908,f942,f772]) ).
fof(f950,plain,
( ~ sQ68_spl
| sQ105_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f236,f908,f942,f776]) ).
fof(f951,plain,
( ~ sQ105_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f237,f908,f942]) ).
fof(f953,definition,
( sQ106_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( sQ51_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f242,f919,f953,f684]) ).
fof(f957,plain,
( ~ sQ60_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f243,f919,f953,f714]) ).
fof(f958,definition,
( sQ107_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( sQ107_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ107_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f244,f919,f953,f958]) ).
fof(f962,definition,
( sQ108_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( sQ108_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( ~ sQ108_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f245,f919,f953,f962]) ).
fof(f966,definition,
( sQ109_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ109_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( ~ sQ109_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f246,f919,f953,f966]) ).
fof(f970,definition,
( sQ110_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( sQ110_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( ~ sQ110_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f247,f919,f953,f970]) ).
fof(f974,plain,
( ~ sQ106_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f248,f919,f953]) ).
fof(f976,definition,
( sQ111_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( sQ51_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f253,f942,f976,f684]) ).
fof(f980,plain,
( sQ15_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f254,f942,f976,f567]) ).
fof(f982,plain,
( ~ sQ66_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f256,f942,f976,f768]) ).
fof(f983,plain,
( ~ sQ67_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f257,f942,f976,f772]) ).
fof(f984,plain,
( ~ sQ68_spl
| sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f258,f942,f976,f776]) ).
fof(f985,plain,
( ~ sQ111_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f259,f942,f976]) ).
fof(f987,definition,
( sQ112_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( sQ46_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f264,f953,f987,f668]) ).
fof(f991,plain,
( ~ sQ43_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f265,f953,f987,f658]) ).
fof(f992,plain,
( ~ sQ65_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f266,f953,f987,f764]) ).
fof(f993,plain,
( ~ sQ66_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f267,f953,f987,f768]) ).
fof(f994,plain,
( ~ sQ67_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f268,f953,f987,f772]) ).
fof(f995,plain,
( ~ sQ68_spl
| sQ112_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f269,f953,f987,f776]) ).
fof(f996,plain,
( ~ sQ112_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f270,f953,f987]) ).
fof(f998,definition,
( sQ113_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ46_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f275,f976,f998,f668]) ).
fof(f1002,plain,
( sQ58_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f276,f976,f998,f707]) ).
fof(f1003,plain,
( ~ sQ95_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f277,f976,f998,f890]) ).
fof(f1004,plain,
( ~ sQ96_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f278,f976,f998,f894]) ).
fof(f1005,plain,
( ~ sQ97_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f279,f976,f998,f898]) ).
fof(f1006,plain,
( ~ sQ98_spl
| sQ113_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f280,f976,f998,f902]) ).
fof(f1007,plain,
( ~ sQ113_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f281,f976,f998]) ).
fof(f1009,definition,
( sQ114_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( sQ42_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f286,f987,f1009,f655]) ).
fof(f1013,plain,
( ~ sQ42_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f287,f987,f1009,f655]) ).
fof(f1014,plain,
( ~ sQ95_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f288,f987,f1009,f890]) ).
fof(f1015,plain,
( ~ sQ96_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f289,f987,f1009,f894]) ).
fof(f1016,plain,
( ~ sQ97_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f290,f987,f1009,f898]) ).
fof(f1017,plain,
( ~ sQ98_spl
| sQ114_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f291,f987,f1009,f902]) ).
fof(f1018,plain,
( ~ sQ114_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f292,f987,f1009]) ).
fof(f1020,definition,
( sQ115_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( sQ42_spl
| sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f297,f998,f1020,f655]) ).
fof(f1025,plain,
( ~ sQ95_spl
| sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f299,f998,f1020,f890]) ).
fof(f1026,plain,
( ~ sQ96_spl
| sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f300,f998,f1020,f894]) ).
fof(f1027,plain,
( ~ sQ97_spl
| sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f301,f998,f1020,f898]) ).
fof(f1028,plain,
( ~ sQ98_spl
| sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f302,f998,f1020,f902]) ).
fof(f1029,plain,
( ~ sQ115_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f303,f998,f1020]) ).
fof(f1031,definition,
( sQ116_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( sQ38_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f308,f1009,f1031,f642]) ).
fof(f1035,plain,
( ~ sQ41_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f309,f1009,f1031,f652]) ).
fof(f1036,plain,
( ~ sQ101_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f310,f1009,f1031,f924]) ).
fof(f1037,plain,
( ~ sQ102_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f311,f1009,f1031,f928]) ).
fof(f1038,plain,
( ~ sQ103_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f312,f1009,f1031,f932]) ).
fof(f1039,plain,
( ~ sQ104_spl
| sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f313,f1009,f1031,f936]) ).
fof(f1040,plain,
( ~ sQ116_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f314,f1009,f1031]) ).
fof(f1042,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( sQ38_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f319,f1020,f1042,f642]) ).
fof(f1046,plain,
( sQ26_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f320,f1020,f1042,f603]) ).
fof(f1047,plain,
( ~ sQ95_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f321,f1020,f1042,f890]) ).
fof(f1048,plain,
( ~ sQ96_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f322,f1020,f1042,f894]) ).
fof(f1049,plain,
( ~ sQ97_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f323,f1020,f1042,f898]) ).
fof(f1050,plain,
( ~ sQ98_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f324,f1020,f1042,f902]) ).
fof(f1051,plain,
( ~ sQ117_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f325,f1020,f1042]) ).
fof(f1053,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( sQ34_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f330,f1031,f1053,f629]) ).
fof(f1057,plain,
( ~ sQ40_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f331,f1031,f1053,f649]) ).
fof(f1058,plain,
( ~ sQ107_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f332,f1031,f1053,f958]) ).
fof(f1059,plain,
( ~ sQ108_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f333,f1031,f1053,f962]) ).
fof(f1060,plain,
( ~ sQ109_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f334,f1031,f1053,f966]) ).
fof(f1061,plain,
( ~ sQ110_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f335,f1031,f1053,f970]) ).
fof(f1062,plain,
( ~ sQ118_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f336,f1031,f1053]) ).
fof(f1064,definition,
( sQ119_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( sQ34_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f341,f1042,f1064,f629]) ).
fof(f1068,plain,
( sQ10_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f342,f1042,f1064,f551]) ).
fof(f1070,plain,
( ~ sQ96_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f344,f1042,f1064,f894]) ).
fof(f1071,plain,
( ~ sQ97_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f345,f1042,f1064,f898]) ).
fof(f1072,plain,
( ~ sQ98_spl
| sQ119_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f346,f1042,f1064,f902]) ).
fof(f1073,plain,
( ~ sQ119_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f347,f1042,f1064]) ).
fof(f1075,definition,
( sQ120_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( sQ29_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f352,f1053,f1075,f613]) ).
fof(f1079,plain,
( ~ sQ23_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f353,f1053,f1075,f593]) ).
fof(f1080,plain,
( ~ sQ65_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f354,f1053,f1075,f764]) ).
fof(f1081,plain,
( ~ sQ66_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f355,f1053,f1075,f768]) ).
fof(f1082,plain,
( ~ sQ67_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f356,f1053,f1075,f772]) ).
fof(f1083,plain,
( ~ sQ68_spl
| sQ120_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f357,f1053,f1075,f776]) ).
fof(f1084,plain,
( ~ sQ120_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f358,f1053,f1075]) ).
fof(f1085,plain,
( sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ23_spl
| ~ sQ29_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f359,f1053,f613,f593,f764,f768,f772,f776]) ).
fof(f1086,definition,
( sQ121_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ29_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f363,f1064,f1086,f613]) ).
fof(f1090,plain,
( sQ53_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f364,f1064,f1086,f691]) ).
fof(f1091,plain,
( ~ sQ101_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f365,f1064,f1086,f924]) ).
fof(f1092,plain,
( ~ sQ102_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f366,f1064,f1086,f928]) ).
fof(f1093,plain,
( ~ sQ103_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f367,f1064,f1086,f932]) ).
fof(f1094,plain,
( ~ sQ104_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f368,f1064,f1086,f936]) ).
fof(f1095,plain,
( ~ sQ121_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f369,f1064,f1086]) ).
fof(f1097,definition,
( sQ122_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( sQ25_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f374,f1075,f1097,f600]) ).
fof(f1101,plain,
( ~ sQ22_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f375,f1075,f1097,f590]) ).
fof(f1102,plain,
( ~ sQ95_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f376,f1075,f1097,f890]) ).
fof(f1103,plain,
( ~ sQ96_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f377,f1075,f1097,f894]) ).
fof(f1104,plain,
( ~ sQ97_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f378,f1075,f1097,f898]) ).
fof(f1105,plain,
( ~ sQ98_spl
| sQ122_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f379,f1075,f1097,f902]) ).
fof(f1106,plain,
( ~ sQ122_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f380,f1075,f1097]) ).
fof(f1108,definition,
( sQ123_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( sQ25_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f385,f1086,f1108,f600]) ).
fof(f1112,plain,
( sQ37_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f386,f1086,f1108,f639]) ).
fof(f1113,plain,
( ~ sQ101_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f387,f1086,f1108,f924]) ).
fof(f1114,plain,
( ~ sQ102_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f388,f1086,f1108,f928]) ).
fof(f1115,plain,
( ~ sQ103_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f389,f1086,f1108,f932]) ).
fof(f1116,plain,
( ~ sQ104_spl
| sQ123_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f390,f1086,f1108,f936]) ).
fof(f1117,plain,
( ~ sQ123_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f391,f1086,f1108]) ).
fof(f1118,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f392,f1086,f600,f639,f924,f928,f932,f936]) ).
fof(f1119,definition,
( sQ124_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( sQ21_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f396,f1097,f1119,f587]) ).
fof(f1123,plain,
( ~ sQ21_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f397,f1097,f1119,f587]) ).
fof(f1125,plain,
( ~ sQ102_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f399,f1097,f1119,f928]) ).
fof(f1126,plain,
( ~ sQ103_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f400,f1097,f1119,f932]) ).
fof(f1127,plain,
( ~ sQ104_spl
| sQ124_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f401,f1097,f1119,f936]) ).
fof(f1128,plain,
( ~ sQ124_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f402,f1097,f1119]) ).
fof(f1130,definition,
( sQ125_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( sQ21_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f407,f1108,f1130,f587]) ).
fof(f1135,plain,
( ~ sQ101_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f409,f1108,f1130,f924]) ).
fof(f1136,plain,
( ~ sQ102_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f410,f1108,f1130,f928]) ).
fof(f1137,plain,
( ~ sQ103_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f411,f1108,f1130,f932]) ).
fof(f1138,plain,
( ~ sQ104_spl
| sQ125_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f412,f1108,f1130,f936]) ).
fof(f1139,plain,
( ~ sQ125_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f413,f1108,f1130]) ).
fof(f1141,definition,
( sQ126_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ17_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f418,f1119,f1141,f574]) ).
fof(f1145,plain,
( ~ sQ20_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f419,f1119,f1141,f584]) ).
fof(f1146,plain,
( ~ sQ107_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f420,f1119,f1141,f958]) ).
fof(f1147,plain,
( ~ sQ108_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f421,f1119,f1141,f962]) ).
fof(f1148,plain,
( ~ sQ109_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f422,f1119,f1141,f966]) ).
fof(f1149,plain,
( ~ sQ110_spl
| sQ126_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f423,f1119,f1141,f970]) ).
fof(f1150,plain,
( ~ sQ126_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f424,f1119,f1141]) ).
fof(f1152,definition,
( sQ127_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( sQ17_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f429,f1130,f1152,f574]) ).
fof(f1156,plain,
( sQ5_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f430,f1130,f1152,f535]) ).
fof(f1157,plain,
( ~ sQ101_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f431,f1130,f1152,f924]) ).
fof(f1158,plain,
( ~ sQ102_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f432,f1130,f1152,f928]) ).
fof(f1159,plain,
( ~ sQ103_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f433,f1130,f1152,f932]) ).
fof(f1160,plain,
( ~ sQ104_spl
| sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f434,f1130,f1152,f936]) ).
fof(f1161,plain,
( ~ sQ127_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f435,f1130,f1152]) ).
fof(f1163,definition,
( sQ128_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( sQ12_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f440,f1141,f1163,f558]) ).
fof(f1167,plain,
( ~ sQ3_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f441,f1141,f1163,f528]) ).
fof(f1168,plain,
( ~ sQ65_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f442,f1141,f1163,f764]) ).
fof(f1169,plain,
( ~ sQ66_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f443,f1141,f1163,f768]) ).
fof(f1170,plain,
( ~ sQ67_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f444,f1141,f1163,f772]) ).
fof(f1171,plain,
( ~ sQ68_spl
| sQ128_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f445,f1141,f1163,f776]) ).
fof(f1172,plain,
( ~ sQ128_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f446,f1141,f1163]) ).
fof(f1173,plain,
( sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ3_spl
| ~ sQ12_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f447,f1141,f558,f528,f764,f768,f772,f776]) ).
fof(f1174,definition,
( sQ129_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( sQ12_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f451,f1152,f1174,f558]) ).
fof(f1178,plain,
( sQ48_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f452,f1152,f1174,f675]) ).
fof(f1179,plain,
( ~ sQ107_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f453,f1152,f1174,f958]) ).
fof(f1180,plain,
( ~ sQ108_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f454,f1152,f1174,f962]) ).
fof(f1181,plain,
( ~ sQ109_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f455,f1152,f1174,f966]) ).
fof(f1182,plain,
( ~ sQ110_spl
| sQ129_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f456,f1152,f1174,f970]) ).
fof(f1183,plain,
( ~ sQ129_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f457,f1152,f1174]) ).
fof(f1185,definition,
( sQ130_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( sQ8_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f462,f1163,f1185,f545]) ).
fof(f1189,plain,
( ~ sQ2_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f463,f1163,f1185,f525]) ).
fof(f1190,plain,
( ~ sQ95_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f464,f1163,f1185,f890]) ).
fof(f1191,plain,
( ~ sQ96_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f465,f1163,f1185,f894]) ).
fof(f1192,plain,
( ~ sQ97_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f466,f1163,f1185,f898]) ).
fof(f1193,plain,
( ~ sQ98_spl
| sQ130_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f467,f1163,f1185,f902]) ).
fof(f1194,plain,
( ~ sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f468,f1163,f1185]) ).
fof(f1196,definition,
( sQ131_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( sQ8_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f473,f1174,f1196,f545]) ).
fof(f1200,plain,
( sQ32_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f474,f1174,f1196,f623]) ).
fof(f1201,plain,
( ~ sQ107_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f475,f1174,f1196,f958]) ).
fof(f1202,plain,
( ~ sQ108_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f476,f1174,f1196,f962]) ).
fof(f1203,plain,
( ~ sQ109_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f477,f1174,f1196,f966]) ).
fof(f1204,plain,
( ~ sQ110_spl
| sQ131_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f478,f1174,f1196,f970]) ).
fof(f1205,plain,
( ~ sQ131_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f479,f1174,f1196]) ).
fof(f1207,definition,
( sQ132_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1210,plain,
( sQ4_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f484,f1185,f1207,f532]) ).
fof(f1211,plain,
( ~ sQ1_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f485,f1185,f1207,f522]) ).
fof(f1212,plain,
( ~ sQ101_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f486,f1185,f1207,f924]) ).
fof(f1213,plain,
( ~ sQ102_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f487,f1185,f1207,f928]) ).
fof(f1214,plain,
( ~ sQ103_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f488,f1185,f1207,f932]) ).
fof(f1215,plain,
( ~ sQ104_spl
| sQ132_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f489,f1185,f1207,f936]) ).
fof(f1216,plain,
( ~ sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f490,f1185,f1207]) ).
fof(f1217,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ1_spl
| ~ sQ4_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f491,f1185,f532,f522,f924,f928,f932,f936]) ).
fof(f1218,definition,
( sQ133_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( sQ4_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f495,f1196,f1218,f532]) ).
fof(f1222,plain,
( sQ16_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f496,f1196,f1218,f571]) ).
fof(f1223,plain,
( ~ sQ107_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f497,f1196,f1218,f958]) ).
fof(f1225,plain,
( ~ sQ109_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f499,f1196,f1218,f966]) ).
fof(f1226,plain,
( ~ sQ110_spl
| sQ133_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f500,f1196,f1218,f970]) ).
fof(f1227,plain,
( ~ sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f501,f1196,f1218]) ).
fof(f1229,plain,
( sQ0_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f504,f1207,f519]) ).
fof(f1230,plain,
( ~ sQ0_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f505,f1207,f519]) ).
fof(f1232,plain,
( ~ sQ108_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f507,f1207,f962]) ).
fof(f1233,plain,
( ~ sQ109_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f508,f1207,f966]) ).
fof(f1234,plain,
( ~ sQ110_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f509,f1207,f970]) ).
fof(f1236,plain,
( sQ0_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f512,f1218,f519]) ).
fof(f1238,plain,
( ~ sQ107_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f514,f1218,f958]) ).
fof(f1239,plain,
( ~ sQ108_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f515,f1218,f962]) ).
fof(f1240,plain,
( ~ sQ109_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f516,f1218,f966]) ).
fof(f1241,plain,
( ~ sQ110_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f517,f1218,f970]) ).
fof(f1243,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f682,f83]) ).
fof(f1244,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f682,f82]) ).
fof(f1245,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f682,f80]) ).
fof(f1246,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f562,f565]) ).
fof(f1247,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1246,f129]) ).
fof(f1248,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1247]) ).
fof(f1249,plain,
( sQ104_spl
| ~ sQ30_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f617,f938]) ).
fof(f1251,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f679,f682]) ).
fof(f1252,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1251,f129]) ).
fof(f1253,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1254,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f663,f666]) ).
fof(f1255,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1254,f126]) ).
fof(f1256,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1255]) ).
fof(f1257,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f611,f617]) ).
fof(f1258,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1257,f127]) ).
fof(f1259,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1258]) ).
fof(f1260,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f695,f88]) ).
fof(f1261,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f695,f89]) ).
fof(f1262,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f702,f705]) ).
fof(f1263,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f126]) ).
fof(f1264,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1265,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f689,f695]) ).
fof(f1266,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f127]) ).
fof(f1267,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f646,f87]) ).
fof(f1270,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f646,f85]) ).
fof(f1272,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f633,f79]) ).
fof(f1273,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f555,f90]) ).
fof(f1274,plain,
( ~ sQ11_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f607,f1273]) ).
fof(f1275,plain,
( ~ sQ11_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1274]) ).
fof(f1276,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f549,f555]) ).
fof(f1278,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f130]) ).
fof(f1279,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f627,f633]) ).
fof(f1281,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f130]) ).
fof(f1282,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f637,f646]) ).
fof(f1284,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f128]) ).
fof(f1285,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1284]) ).
fof(f1287,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f542,f84]) ).
fof(f1288,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f581,f78]) ).
fof(f1289,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f539,f542]) ).
fof(f1290,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1289,f131]) ).
fof(f1291,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f578,f581]) ).
fof(f1293,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1292,f131]) ).
fof(f1294,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f546,f91]) ).
fof(f1296,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f546,f92]) ).
fof(f1297,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f572,f575]) ).
fof(f1298,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1297,f126]) ).
fof(f1299,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f533,f536]) ).
fof(f1301,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1300,f126]) ).
fof(f1302,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f546,f90]) ).
fof(f1304,plain,
( ~ sQ8_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f598,f1303]) ).
fof(f1305,plain,
( ~ sQ8_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1304]) ).
fof(f1306,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1305]) ).
fof(f1307,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f624,f630]) ).
fof(f1308,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1307,f127]) ).
fof(f1309,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1308]) ).
fof(f1312,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f559,f96]) ).
fof(f1313,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f546,f552]) ).
fof(f1314,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1313,f127]) ).
fof(f1315,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1314]) ).
fof(f1317,plain,
( sQ68_spl
| ~ sQ63_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f724,f778]) ).
fof(f1318,plain,
( sQ68_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f724,f1317]) ).
fof(f1319,plain,
( sQ68_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1318]) ).
fof(f1320,plain,
( sQ68_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1322,plain,
( sQ110_spl
| ~ sQ12_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f559,f972]) ).
fof(f1323,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f546,f555]) ).
fof(f1324,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1323,f128]) ).
fof(f1325,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1324]) ).
fof(f1326,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f559,f97]) ).
fof(f1328,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f676,f685]) ).
fof(f1329,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f128]) ).
fof(f1330,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1329]) ).
fof(f1331,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f611,f1312]) ).
fof(f1332,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1331]) ).
fof(f1333,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f520,f102]) ).
fof(f1334,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f640,f643]) ).
fof(f1335,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1334,f129]) ).
fof(f1336,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1335]) ).
fof(f1337,plain,
( sQ110_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1322,f528,f558,f970]) ).
fof(f1338,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f588,f87]) ).
fof(f1341,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f588,f594]) ).
fof(f1342,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f130]) ).
fof(f1343,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1344,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f568,f104]) ).
fof(f1345,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f601,f94]) ).
fof(f1346,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f601,f93]) ).
fof(f1347,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f614,f100]) ).
fof(f1348,plain,
( ~ sQ29_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f614,f99]) ).
fof(f1349,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1348,f665,f613]) ).
fof(f1354,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f568,f106]) ).
fof(f1355,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f656,f95]) ).
fof(f1356,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f568,f107]) ).
fof(f1357,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f669,f101]) ).
fof(f1358,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1357,f720,f668]) ).
fof(f1359,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f708,f94]) ).
fof(f1360,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f656,f93]) ).
fof(f1364,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f692,f695]) ).
fof(f1365,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f129]) ).
fof(f1366,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1367,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1345,f704,f600]) ).
fof(f1372,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f708,f711]) ).
fof(f1373,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1372,f131]) ).
fof(f1374,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1378,plain,
( sQ97_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f656,f900]) ).
fof(f1379,plain,
( sQ97_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f656,f1378]) ).
fof(f1380,plain,
( sQ97_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1379]) ).
fof(f1381,plain,
( sQ97_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1380]) ).
fof(f1383,plain,
( ~ sQ7_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f542,f105]) ).
fof(f1386,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f581,f110]) ).
fof(f1387,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f581,f109]) ).
fof(f1388,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f581,f108]) ).
fof(f1389,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1386,f619,f580]) ).
fof(f1391,plain,
( ~ sQ34_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f630,f1243]) ).
fof(f1392,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1396,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f581,f82]) ).
fof(f1399,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f575,f581]) ).
fof(f1400,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f130]) ).
fof(f1401,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1402,plain,
( ~ sQ15_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f542,f1354]) ).
fof(f1403,plain,
( ~ sQ15_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1402]) ).
fof(f1404,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1403]) ).
fof(f1405,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1360,f603,f655]) ).
fof(f1406,plain,
( ~ sQ39_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f542,f1270]) ).
fof(f1407,plain,
( ~ sQ39_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1406]) ).
fof(f1408,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1407]) ).
fof(f1410,plain,
( sQ104_spl
| ~ sQ30_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1249,f606,f616,f936]) ).
fof(f1412,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1333,f532,f519]) ).
fof(f1413,plain,
( sQ98_spl
| ~ sQ47_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f672,f904]) ).
fof(f1414,plain,
( sQ98_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f672,f1413]) ).
fof(f1415,plain,
( sQ98_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1414]) ).
fof(f1416,plain,
( sQ98_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1417,plain,
( ~ sQ55_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f698,f120]) ).
fof(f1418,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f1417]) ).
fof(f1419,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1418]) ).
fof(f1420,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f643,f118]) ).
fof(f1421,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f643,f117]) ).
fof(f1422,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f643,f114]) ).
fof(f1423,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1420,f668,f642]) ).
fof(f1424,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1346,f652,f600]) ).
fof(f1425,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1287,f593,f541]) ).
fof(f1426,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1347,f717,f613]) ).
fof(f1427,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1338,f639,f587]) ).
fof(f1428,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1244,f577,f681]) ).
fof(f1429,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1326,f662,f558]) ).
fof(f1430,plain,
( sQ93_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f715,f882]) ).
fof(f1432,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f715,f125]) ).
fof(f1433,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f715,f124]) ).
fof(f1434,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f715,f122]) ).
fof(f1436,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1433,f688,f714]) ).
fof(f1441,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f598,f113]) ).
fof(f1442,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f598,f111]) ).
fof(f1443,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1442,f584,f597]) ).
fof(f1444,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1296,f701,f545]) ).
fof(f1446,plain,
( sQ91_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f715,f874]) ).
fof(f1450,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f711,f123]) ).
fof(f1451,plain,
( ~ sQ59_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f711,f121]) ).
fof(f1452,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1450,f697,f710]) ).
fof(f1453,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1261,f642,f694]) ).
fof(f1454,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f711,f125]) ).
fof(f1455,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1355,f707,f655]) ).
fof(f1456,plain,
( sQ91_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1446,f561,f714,f872]) ).
fof(f1457,plain,
( ~ sQ31_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f620,f112]) ).
fof(f1461,plain,
( sQ75_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f526,f810]) ).
fof(f1476,plain,
( sQ70_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f526,f791]) ).
fof(f1479,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f588,f591]) ).
fof(f1480,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1479,f129]) ).
fof(f1481,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1480]) ).
fof(f1484,plain,
( sQ109_spl
| ~ sQ9_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f549,f968]) ).
fof(f1486,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1269,f593,f645]) ).
fof(f1488,plain,
( ~ sQ50_spl
| ~ sQ2_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f526,f1245]) ).
fof(f1489,plain,
( ~ sQ50_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1488]) ).
fof(f1490,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1489]) ).
fof(f1491,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1454,f723,f710]) ).
fof(f1492,plain,
( sQ93_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1430,f564,f714,f880]) ).
fof(f1493,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1434,f675,f714]) ).
fof(f1497,plain,
( sQ107_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f520,f960]) ).
fof(f1498,plain,
( sQ107_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1497,f519,f958]) ).
fof(f1499,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1457,f593,f619]) ).
fof(f1500,plain,
( sQ109_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1484,f538,f548,f966]) ).
fof(f1501,plain,
( sQ103_spl
| ~ sQ26_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f604,f934]) ).
fof(f1502,plain,
( sQ103_spl
| ~ sQ26_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f604,f1501]) ).
fof(f1503,plain,
( sQ103_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1502]) ).
fof(f1504,plain,
( sQ103_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f1505,plain,
( ~ sQ36_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f637,f89]) ).
fof(f1511,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f594,f88]) ).
fof(f1512,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f715,f98]) ).
fof(f1513,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f633,f115]) ).
fof(f1518,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f568,f97]) ).
fof(f1519,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f568,f96]) ).
fof(f1524,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f666,f119]) ).
fof(f1526,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f711,f92]) ).
fof(f1531,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f695,f86]) ).
fof(f1536,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f552,f91]) ).
fof(f1537,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f552,f90]) ).
fof(f1538,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f637,f85]) ).
fof(f1540,plain,
( ~ sQ4_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f1538]) ).
fof(f1541,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1545,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f523,f102]) ).
fof(f1556,plain,
( sQ85_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f650,f850]) ).
fof(f1557,plain,
( sQ87_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f650,f858]) ).
fof(f1562,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f715,f100]) ).
fof(f1563,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f630,f633]) ).
fof(f1564,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f131]) ).
fof(f1565,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1564]) ).
fof(f1566,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1451,f684,f710]) ).
fof(f1568,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f650,f115]) ).
fof(f1569,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f650,f659]) ).
fof(f1570,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1569,f128]) ).
fof(f1571,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1570]) ).
fof(f1573,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f640,f89]) ).
fof(f1577,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1432,f701,f714]) ).
fof(f1578,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f552,f92]) ).
fof(f1579,plain,
( sQ68_spl
| ~ sQ60_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f715,f778]) ).
fof(f1580,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1511,f697,f593]) ).
fof(f1581,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f601,f607]) ).
fof(f1582,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f130]) ).
fof(f1583,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1594,plain,
( sQ80_spl
| ~ sQ23_spl
| e0 != op(e3,op(op(e1,e1),e1)) ),
inference(forward_demodulation,[status(thm)],[f594,f830]) ).
fof(f1595,plain,
( sQ80_spl
| ~ sQ23_spl
| e0 != op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f594,f1594]) ).
fof(f1596,plain,
( sQ78_spl
| ~ sQ23_spl
| e2 != op(e3,op(op(e1,e1),e1)) ),
inference(forward_demodulation,[status(thm)],[f594,f822]) ).
fof(f1597,plain,
( sQ78_spl
| ~ sQ23_spl
| e2 != op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f594,f1596]) ).
fof(f1608,plain,
( sQ71_spl
| ~ sQ1_spl
| e3 != op(e1,op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f523,f794]) ).
fof(f1609,plain,
( sQ71_spl
| ~ sQ1_spl
| e3 != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f523,f1608]) ).
fof(f1612,plain,
( sQ96_spl
| ~ sQ37_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f640,f896]) ).
fof(f1613,plain,
( sQ96_spl
| ~ sQ37_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f640,f1612]) ).
fof(f1614,plain,
( sQ96_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1613]) ).
fof(f1615,plain,
( sQ96_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1620,plain,
( sQ101_spl
| ~ sQ16_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f572,f926]) ).
fof(f1621,plain,
( sQ101_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f572,f1620]) ).
fof(f1622,plain,
( sQ101_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1621]) ).
fof(f1623,plain,
( sQ101_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1622]) ).
fof(f1624,plain,
( sQ102_spl
| ~ sQ23_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f594,f930]) ).
fof(f1626,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1524,f652,f665]) ).
fof(f1627,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f611,f1562]) ).
fof(f1628,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1627]) ).
fof(f1629,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1344,f528,f567]) ).
fof(f1630,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f568,f98]) ).
fof(f1632,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1568,f623,f649]) ).
fof(f1644,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f575,f81]) ).
fof(f1647,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f552,f107]) ).
fof(f1652,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f669,f99]) ).
fof(f1653,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f520,f79]) ).
fof(f1657,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f536,f106]) ).
fof(f1660,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f520,f104]) ).
fof(f1667,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f598,f94]) ).
fof(f1675,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f598,f93]) ).
fof(f1677,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f663,f669]) ).
fof(f1678,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f127]) ).
fof(f1679,plain,
( ~ sQ46_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1680,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f637,f87]) ).
fof(f1681,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f711,f773]) ).
fof(f1683,plain,
( sQ108_spl
| ~ sQ5_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f536,f964]) ).
fof(f1684,plain,
( sQ108_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f536,f1683]) ).
fof(f1685,plain,
( sQ108_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1684]) ).
fof(f1686,plain,
( sQ108_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1685]) ).
fof(f1687,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1647,f564,f551]) ).
fof(f1689,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f711,f94]) ).
fof(f1690,plain,
( sQ109_spl
| ~ sQ10_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f552,f968]) ).
fof(f1691,plain,
( sQ109_spl
| ~ sQ10_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f552,f1690]) ).
fof(f1692,plain,
( sQ109_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1691]) ).
fof(f1693,plain,
( sQ109_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1696,plain,
( sQ102_spl
| ~ sQ23_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1624,f613,f593,f928]) ).
fof(f1701,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1556,f548,f649,f848]) ).
fof(f1703,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1512,f558,f714]) ).
fof(f1705,plain,
( sQ75_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1461,f632,f525,f808]) ).
fof(f1706,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1260,f590,f694]) ).
fof(f1708,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1557,f554,f649,f856]) ).
fof(f1709,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1675,f649,f597]) ).
fof(f1710,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1388,f593,f580]) ).
fof(f1712,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1680,f584,f636]) ).
fof(f1713,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1653,f623,f519]) ).
fof(f1714,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1660,f558,f519]) ).
fof(f1715,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1536,f655,f551]) ).
fof(f1717,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f676,f82]) ).
fof(f1718,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f676,f80]) ).
fof(f1719,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f676,f83]) ).
fof(f1720,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1719,f623,f675]) ).
fof(f1724,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1545,f535,f522]) ).
fof(f1725,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1652,f616,f668]) ).
fof(f1726,plain,
( ~ sQ36_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1505,f688,f636]) ).
fof(f1728,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1681,f720,f710,f772]) ).
fof(f1730,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1531,f538,f694]) ).
fof(f1733,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f559,f568]) ).
fof(f1734,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f128]) ).
fof(f1735,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1736,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1295,f649,f545]) ).
fof(f1737,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1657,f561,f535]) ).
fof(f1738,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f676,f679]) ).
fof(f1739,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1738,f126]) ).
fof(f1740,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1739]) ).
fof(f1741,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f711,f95]) ).
fof(f1749,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f672,f116]) ).
fof(f1752,plain,
( ~ sQ33_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f627,f114]) ).
fof(f1753,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f669,f672]) ).
fof(f1754,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1753,f131]) ).
fof(f1755,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1754]) ).
fof(f1758,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1717,f571,f675]) ).
fof(f1764,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1578,f707,f551]) ).
fof(f1765,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1441,f610,f597]) ).
fof(f1766,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1383,f554,f541]) ).
fof(f1767,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1519,f619,f567]) ).
fof(f1768,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1476,f626,f525,f789]) ).
fof(f1770,plain,
( ~ sQ33_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1752,f639,f626]) ).
fof(f1771,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1359,f603,f707]) ).
fof(f1772,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1396,f684,f580]) ).
fof(f1778,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f705,f123]) ).
fof(f1781,plain,
( ~ sQ20_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f585,f108]) ).
fof(f1784,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f705,f121]) ).
fof(f1786,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f546,f103]) ).
fof(f1789,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f585,f112]) ).
fof(f1793,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f523,f78]) ).
fof(f1794,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1793,f574,f522]) ).
fof(f1800,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f669,f119]) ).
fof(f1801,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f1800]) ).
fof(f1802,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1801]) ).
fof(f1803,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1741,f658,f710]) ).
fof(f1804,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1573,f691,f639]) ).
fof(f1805,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1778,f691,f704]) ).
fof(f1811,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f689,f88]) ).
fof(f1813,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f689,f86]) ).
fof(f1817,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1811,f584,f688]) ).
fof(f1818,plain,
( sQ66_spl
| ~ sQ52_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f689,f770]) ).
fof(f1824,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1421,f655,f642]) ).
fof(f1826,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f559,f565]) ).
fof(f1827,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1826,f127]) ).
fof(f1828,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1829,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1784,f678,f704]) ).
fof(f1830,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1356,f554,f567]) ).
fof(f1831,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1781,f571,f584]) ).
fof(f1832,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1789,f610,f584]) ).
fof(f1833,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1630,f723,f567]) ).
fof(f1834,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1518,f671,f567]) ).
fof(f1835,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1526,f554,f710]) ).
fof(f1836,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1667,f701,f597]) ).
fof(f1837,plain,
( sQ66_spl
| ~ sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1818,f678,f688,f768]) ).
fof(f1848,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f559,f106]) ).
fof(f1851,plain,
( sQ81_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f585,f834]) ).
fof(f1852,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1851,f541,f584,f832]) ).
fof(f1853,plain,
( ~ sQ81_spl
| ~ sQ20_spl
| e3 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f585,f833]) ).
fof(f1863,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f542,f102]) ).
fof(f1876,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f523,f79]) ).
fof(f1893,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f672,f99]) ).
fof(f1894,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f672,f101]) ).
fof(f1907,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f617,f113]) ).
fof(f1919,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f666,f672]) ).
fof(f1920,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1919,f130]) ).
fof(f1921,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1920]) ).
fof(f1929,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f523,f80]) ).
fof(f1943,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f640,f117]) ).
fof(f1945,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f650,f95]) ).
fof(f1949,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f523,f103]) ).
fof(f1967,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f650,f119]) ).
fof(f1978,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f676,f121]) ).
fof(f1980,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f695,f123]) ).
fof(f1984,plain,
( sQ79_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f585,f826]) ).
fof(f1990,plain,
( sQ92_spl
| ~ sQ61_spl
| e0 != op(e1,op(op(e3,e3),e3)) ),
inference(forward_demodulation,[status(thm)],[f718,f878]) ).
fof(f1991,plain,
( sQ92_spl
| ~ sQ61_spl
| e0 != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f718,f1990]) ).
fof(f1992,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f617,f1991]) ).
fof(f1994,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f542,f86]) ).
fof(f1996,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f695,f124]) ).
fof(f2002,plain,
( ~ sQ30_spl
| ~ sQ101_spl
| ~ sQ19_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f2003,f617]) ).
fof(f2003,plain,
( ~ sQ101_spl
| ~ sQ19_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f581,f925]) ).
fof(f2004,plain,
( ~ sQ30_spl
| ~ sQ101_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f127]) ).
fof(f2005,plain,
( ~ sQ30_spl
| ~ sQ101_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2004]) ).
fof(f2006,plain,
( sQ101_spl
| ~ sQ19_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f581,f926]) ).
fof(f2007,plain,
( ~ sQ103_spl
| ~ sQ25_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f601,f933]) ).
fof(f2008,plain,
( ~ sQ103_spl
| ~ sQ25_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f585,f2007]) ).
fof(f2009,plain,
( ~ sQ103_spl
| ~ sQ25_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2008,f127]) ).
fof(f2010,plain,
( ~ sQ103_spl
| ~ sQ25_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2009]) ).
fof(f2011,plain,
( sQ103_spl
| ~ sQ25_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f601,f934]) ).
fof(f2015,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f585,f929]) ).
fof(f2024,plain,
( sQ102_spl
| ~ sQ20_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f585,f930]) ).
fof(f2025,plain,
( ~ sQ104_spl
| ~ sQ30_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f617,f937]) ).
fof(f2026,plain,
( ~ sQ104_spl
| ~ sQ30_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f601,f2025]) ).
fof(f2027,plain,
( ~ sQ104_spl
| ~ sQ30_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2026,f130]) ).
fof(f2028,plain,
( ~ sQ104_spl
| ~ sQ30_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2035,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f718,f124]) ).
fof(f2039,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f676,f682]) ).
fof(f2040,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2039,f127]) ).
fof(f2041,plain,
( ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2040]) ).
fof(f2043,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f601,f111]) ).
fof(f2044,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f718,f98]) ).
fof(f2045,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f601,f109]) ).
fof(f2047,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f718,f122]) ).
fof(f2048,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f601,f113]) ).
fof(f2053,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f718,f101]) ).
fof(f2054,plain,
( sQ97_spl
| ~ sQ40_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f650,f900]) ).
fof(f2056,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f601,f604]) ).
fof(f2057,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2056,f129]) ).
fof(f2058,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2057]) ).
fof(f2059,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1994,f697,f541]) ).
fof(f2060,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1894,f723,f671]) ).
fof(f2061,plain,
( ~ sQ102_spl
| ~ sQ20_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2015,f574,f584,f928]) ).
fof(f2066,plain,
( ~ sQ33_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f627,f83]) ).
fof(f2068,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f627,f116]) ).
fof(f2071,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2066,f678,f626]) ).
fof(f2072,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2068,f665,f626]) ).
fof(f2073,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1848,f532,f558]) ).
fof(f2074,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2035,f691,f717]) ).
fof(f2075,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2044,f561,f717]) ).
fof(f2076,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1863,f528,f541]) ).
fof(f2077,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1893,f619,f671]) ).
fof(f2078,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1929,f678,f522]) ).
fof(f2079,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2047,f678,f717]) ).
fof(f2080,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1513,f658,f632]) ).
fof(f2081,plain,
( sQ79_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1984,f538,f584,f824]) ).
fof(f2082,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1945,f701,f649]) ).
fof(f2083,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1980,f707,f694]) ).
fof(f2104,plain,
( ~ sQ46_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f669,f97]) ).
fof(f2112,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f526,f104]) ).
fof(f2116,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f598,f601]) ).
fof(f2117,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2116,f126]) ).
fof(f2118,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2124,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f526,f102]) ).
fof(f2128,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f640,f85]) ).
fof(f2144,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f526,f103]) ).
fof(f2147,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f523,f526]) ).
fof(f2148,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2147,f129]) ).
fof(f2149,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2150,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2124,f538,f525]) ).
fof(f2151,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f559,f562]) ).
fof(f2152,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2151,f126]) ).
fof(f2153,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2152]) ).
fof(f2154,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2048,f613,f600]) ).
fof(f2160,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f559,f107]) ).
fof(f2162,plain,
( ~ sQ42_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f656,f115]) ).
fof(f2241,plain,
( ~ sQ18_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f578,f109]) ).
fof(f2251,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f698,f124]) ).
fof(f2255,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f588,f88]) ).
fof(f2259,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f633,f83]) ).
fof(f2265,plain,
( sQ109_spl
| ~ sQ11_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f555,f968]) ).
fof(f2267,plain,
( sQ107_spl
| ~ sQ1_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f523,f960]) ).
fof(f2281,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f588,f112]) ).
fof(f2285,plain,
( ~ sQ18_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f578,f81]) ).
fof(f2292,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f539,f105]) ).
fof(f2296,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f539,f85]) ).
fof(f2300,plain,
( sQ102_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f588,f930]) ).
fof(f2301,plain,
( sQ102_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f588,f2300]) ).
fof(f2302,plain,
( sQ102_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2301]) ).
fof(f2303,plain,
( sQ102_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2302]) ).
fof(f2306,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2160,f545,f558]) ).
fof(f2308,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f620,f113]) ).
fof(f2315,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f523,f529]) ).
fof(f2316,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2315,f130]) ).
fof(f2317,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2321,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1967,f662,f649]) ).
fof(f2323,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2255,f691,f587]) ).
fof(f2324,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1537,f603,f551]) ).
fof(f2326,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1907,f603,f616]) ).
fof(f2328,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2043,f587,f600]) ).
fof(f2329,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1813,f532,f688]) ).
fof(f2330,plain,
( ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2285,f629,f577]) ).
fof(f2332,plain,
( sQ104_spl
| ~ sQ31_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f620,f938]) ).
fof(f2333,plain,
( sQ104_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f620,f2332]) ).
fof(f2334,plain,
( sQ104_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2333]) ).
fof(f2335,plain,
( sQ104_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2336,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2144,f551,f525]) ).
fof(f2338,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2281,f613,f587]) ).
fof(f2422,plain,
( sQ65_spl
| ~ sQ48_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f676,f766]) ).
fof(f2425,plain,
( sQ65_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2422,f675,f764]) ).
fof(f2433,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f617,f620]) ).
fof(f2434,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2433,f131]) ).
fof(f2435,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2434]) ).
fof(f2436,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1949,f548,f522]) ).
fof(f2437,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2053,f665,f717]) ).
fof(f2441,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f588,f108]) ).
fof(f2443,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2441,f574,f587]) ).
fof(f2464,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f624,f81]) ).
fof(f2477,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f575,f82]) ).
fof(f2487,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f646,f118]) ).
fof(f2513,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f624,f627]) ).
fof(f2514,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2513,f126]) ).
fof(f2515,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2518,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2112,f564,f525]) ).
fof(f2520,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1689,f606,f710]) ).
fof(f2525,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2308,f606,f619]) ).
fof(f2531,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f526,f529]) ).
fof(f2532,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2531,f131]) ).
fof(f2533,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2534,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2045,f574,f600]) ).
fof(f2535,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1644,f626,f574]) ).
fof(f2537,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2296,f642,f538]) ).
fof(f2538,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2292,f551,f538]) ).
fof(f2539,plain,
( sQ101_spl
| ~ sQ17_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f575,f926]) ).
fof(f2540,plain,
( sQ102_spl
| ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2024,f574,f584,f928]) ).
fof(f2547,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f617,f96]) ).
fof(f2549,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f575,f110]) ).
fof(f2565,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f617,f100]) ).
fof(f2572,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f594,f111]) ).
fof(f2608,plain,
( ~ sQ51_spl
| sQ68_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f1579]) ).
fof(f2609,plain,
( ~ sQ51_spl
| sQ68_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2608]) ).
fof(f2617,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2565,f720,f616]) ).
fof(f2619,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f659,f93]) ).
fof(f2620,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2572,f606,f593]) ).
fof(f2622,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f643,f87]) ).
fof(f2623,plain,
( sQ101_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2539,f584,f574,f924]) ).
fof(f2624,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2549,f613,f574]) ).
fof(f2625,plain,
( sQ95_spl
| ~ sQ32_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f624,f892]) ).
fof(f2626,plain,
( sQ95_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f624,f2625]) ).
fof(f2627,plain,
( sQ95_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2626]) ).
fof(f2628,plain,
( sQ95_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2627]) ).
fof(f2640,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f526,f78]) ).
fof(f2641,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f555,f91]) ).
fof(f2654,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f646,f89]) ).
fof(f2702,plain,
( sQ67_spl
| ~ sQ58_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f708,f774]) ).
fof(f2705,plain,
( sQ67_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2702,f707,f772]) ).
fof(f2706,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f555,f103]) ).
fof(f2707,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f685,f80]) ).
fof(f2709,plain,
( sQ107_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2267,f532,f522,f958]) ).
fof(f2710,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2547,f564,f616]) ).
fof(f2716,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2464,f571,f623]) ).
fof(f2718,plain,
( sQ109_spl
| ~ sQ11_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2265,f564,f554,f966]) ).
fof(f2722,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2622,f590,f642]) ).
fof(f2724,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1422,f629,f642]) ).
fof(f2731,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2640,f577,f525]) ).
fof(f2732,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1996,f720,f694]) ).
fof(f2733,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1749,f632,f671]) ).
fof(f2736,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2259,f684,f632]) ).
fof(f2740,plain,
( sQ97_spl
| ~ sQ40_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2054,f629,f649,f898]) ).
fof(f2741,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2477,f678,f574]) ).
fof(f2742,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2162,f629,f655]) ).
fof(f2743,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2619,f606,f658]) ).
fof(f2744,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2251,f723,f697]) ).
fof(f2745,plain,
( ~ sQ46_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2104,f564,f668]) ).
fof(f2747,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1387,f606,f580]) ).
fof(f2752,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f591,f84]) ).
fof(f2753,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2752,f538,f590]) ).
fof(f2760,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f546,f105]) ).
fof(f2842,plain,
( ~ sQ28_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f611,f99]) ).
fof(f2871,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f653,f95]) ).
fof(f2893,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(e1,op(op(e2,e2),e2)) ),
inference(forward_demodulation,[status(thm)],[f653,f854]) ).
fof(f2894,plain,
( sQ86_spl
| ~ sQ41_spl
| e0 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f653,f2893]) ).
fof(f2895,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f607,f2894]) ).
fof(f2896,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f611,f2895]) ).
fof(f2897,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2896]) ).
fof(f2898,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2897]) ).
fof(f2933,plain,
( sQ71_spl
| ~ sQ2_spl
| e3 != op(e2,op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f526,f794]) ).
fof(f2934,plain,
( sQ71_spl
| ~ sQ2_spl
| e3 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f526,f2933]) ).
fof(f2945,plain,
( sQ107_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f526,f960]) ).
fof(f2960,plain,
( sQ110_spl
| ~ sQ15_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f568,f972]) ).
fof(f2961,plain,
( sQ110_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f568,f2960]) ).
fof(f2962,plain,
( sQ110_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2961]) ).
fof(f2963,plain,
( sQ110_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2962]) ).
fof(f2965,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f533,f539]) ).
fof(f2966,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2965,f127]) ).
fof(f2967,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2968,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2706,f528,f554]) ).
fof(f2972,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1272,f528,f632]) ).
fof(f2974,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2871,f704,f652]) ).
fof(f2975,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1943,f652,f639]) ).
fof(f2977,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1876,f626,f522]) ).
fof(f2979,plain,
( sQ103_spl
| ~ sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2011,f590,f600,f932]) ).
fof(f2981,plain,
( sQ101_spl
| ~ sQ19_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2006,f610,f580,f924]) ).
fof(f2982,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1978,f701,f675]) ).
fof(f2984,plain,
( ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2842,f662,f610]) ).
fof(f2985,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2654,f697,f645]) ).
fof(f2988,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f692,f86]) ).
fof(f2996,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f692,f120]) ).
fof(f3000,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f715,f101]) ).
fof(f3126,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f520,f78]) ).
fof(f3152,plain,
( sQ84_spl
| ~ sQ40_spl
| e1 != op(e0,op(op(e2,e2),e2)) ),
inference(forward_demodulation,[status(thm)],[f650,f846]) ).
fof(f3153,plain,
( sQ84_spl
| ~ sQ40_spl
| e1 != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f650,f3152]) ).
fof(f3159,plain,
( sQ95_spl
| ~ sQ35_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f633,f892]) ).
fof(f3161,plain,
( sQ96_spl
| ~ sQ38_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f643,f896]) ).
fof(f3163,plain,
( sQ98_spl
| ~ sQ45_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f666,f904]) ).
fof(f3167,plain,
( sQ83_spl
| ~ sQ40_spl
| e3 != op(e0,op(op(e2,e2),e2)) ),
inference(forward_demodulation,[status(thm)],[f650,f842]) ).
fof(f3168,plain,
( sQ83_spl
| ~ sQ40_spl
| e3 != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f650,f3167]) ).
fof(f3169,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f549,f3168]) ).
fof(f3170,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ81_spl
| ~ sQ20_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1853,f3169]) ).
fof(f3171,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ81_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3170]) ).
fof(f3172,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ81_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3171]) ).
fof(f3173,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1992,f597,f616,f717,f876]) ).
fof(f3176,plain,
( sQ96_spl
| ~ sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3161,f652,f642,f894]) ).
fof(f3188,plain,
( sQ95_spl
| ~ sQ35_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3159,f662,f632,f890]) ).
fof(f3323,plain,
( sQ82_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f653,f839]) ).
fof(f3324,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f598,f3323]) ).
fof(f3325,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3324]) ).
fof(f3326,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f3325]) ).
fof(f3327,plain,
( sQ83_spl
| ~ sQ41_spl
| e3 != op(e1,op(op(e2,e2),e2)) ),
inference(forward_demodulation,[status(thm)],[f653,f842]) ).
fof(f3328,plain,
( sQ83_spl
| ~ sQ41_spl
| e3 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f653,f3327]) ).
fof(f3329,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f598,f3328]) ).
fof(f3330,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f581,f3329]) ).
fof(f3331,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3330]) ).
fof(f3332,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3331]) ).
fof(f3366,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f646,f117]) ).
fof(f3376,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f646,f114]) ).
fof(f3447,plain,
( sQ74_spl
| ~ sQ2_spl
| e1 != op(e2,op(op(e0,e0),e0)) ),
inference(forward_demodulation,[status(thm)],[f526,f806]) ).
fof(f3448,plain,
( sQ74_spl
| ~ sQ2_spl
| e1 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f526,f3447]) ).
fof(f3457,plain,
( sQ67_spl
| ~ sQ56_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f702,f774]) ).
fof(f3495,plain,
( sQ81_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f591,f834]) ).
fof(f3496,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f646,f3495]) ).
fof(f3497,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3496]) ).
fof(f3498,plain,
( sQ81_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f3497]) ).
fof(f3500,plain,
( sQ80_spl
| ~ sQ22_spl
| e0 != op(e2,op(op(e1,e1),e1)) ),
inference(forward_demodulation,[status(thm)],[f591,f830]) ).
fof(f3501,plain,
( sQ80_spl
| ~ sQ22_spl
| e0 != op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f591,f3500]) ).
fof(f3502,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f646,f3501]) ).
fof(f3507,plain,
( sQ66_spl
| ~ sQ53_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f692,f770]) ).
fof(f3508,plain,
( sQ66_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f692,f3507]) ).
fof(f3509,plain,
( sQ66_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3508]) ).
fof(f3510,plain,
( sQ66_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3509]) ).
fof(f3512,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1288,f528,f580]) ).
fof(f3514,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3000,f662,f714]) ).
fof(f3519,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1786,f519,f545]) ).
fof(f3520,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2487,f671,f645]) ).
fof(f3526,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3457,f681,f701,f772]) ).
fof(f3557,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f620,f100]) ).
fof(f3648,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f562,f96]) ).
fof(f3708,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f640,f118]) ).
fof(f3719,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f555,f3153]) ).
fof(f3720,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f562,f3719]) ).
fof(f3721,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3720]) ).
fof(f3722,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3721]) ).
fof(f3723,plain,
( sQ74_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f633,f3448]) ).
fof(f3741,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2128,f535,f639]) ).
fof(f3753,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3708,f665,f639]) ).
fof(f3776,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2707,f528,f684]) ).
fof(f3777,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3366,f658,f645]) ).
fof(f3845,plain,
( ~ sQ51_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f685,f122]) ).
fof(f3877,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f565,f98]) ).
fof(f3904,plain,
( sQ89_spl
| ~ sQ61_spl
| e2 != op(e1,op(op(e3,e3),e3)) ),
inference(forward_demodulation,[status(thm)],[f718,f866]) ).
fof(f3905,plain,
( sQ89_spl
| ~ sQ61_spl
| e2 != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f718,f3904]) ).
fof(f3906,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f611,f3905]) ).
fof(f3907,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f578,f3906]) ).
fof(f3908,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3907]) ).
fof(f3909,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3908]) ).
fof(f3917,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2241,f603,f577]) ).
fof(f3920,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3877,f720,f564]) ).
fof(f3934,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1718,f519,f675]) ).
fof(f3935,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2641,f658,f554]) ).
fof(f3937,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3845,f723,f684]) ).
fof(f3939,plain,
( sQ74_spl
| ~ sQ2_spl
| ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3723,f665,f632,f525,f804]) ).
fof(f3949,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f705,f92]) ).
fof(f4080,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f705,f125]) ).
fof(f4114,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f689,f1597]) ).
fof(f4115,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f682,f4114]) ).
fof(f4116,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4115]) ).
fof(f4117,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4116]) ).
fof(f4121,plain,
( sQ76_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f594,f815]) ).
fof(f4122,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f689,f4121]) ).
fof(f4123,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4122]) ).
fof(f4124,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4123]) ).
fof(f4125,plain,
( sQ107_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2945,f545,f525,f958]) ).
fof(f4223,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f611,f110]) ).
fof(f4299,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f533,f84]) ).
fof(f4306,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f578,f1609]) ).
fof(f4307,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f607,f4306]) ).
fof(f4308,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4307]) ).
fof(f4309,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f4308]) ).
fof(f4313,plain,
( sQ73_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f523,f802]) ).
fof(f4314,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f578,f4313]) ).
fof(f4315,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4314]) ).
fof(f4316,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f4315]) ).
fof(f4330,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f4223,f571,f610]) ).
fof(f4350,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3126,f571,f519]) ).
fof(f4352,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3949,f548,f704]) ).
fof(f4354,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4080,f717,f704]) ).
fof(f4361,plain,
( ~ sQ103_spl
| ~ sQ27_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f607,f933]) ).
fof(f4362,plain,
( ~ sQ103_spl
| ~ sQ27_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f611,f4361]) ).
fof(f4363,plain,
( ~ sQ103_spl
| ~ sQ27_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4362,f127]) ).
fof(f4364,plain,
( ~ sQ103_spl
| ~ sQ27_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4363]) ).
fof(f4538,plain,
( sQ96_spl
| ~ sQ36_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f637,f896]) ).
fof(f4540,plain,
( sQ97_spl
| ~ sQ43_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f659,f900]) ).
fof(f4542,plain,
( sQ79_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f594,f826]) ).
fof(f4543,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f695,f4542]) ).
fof(f4544,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4543]) ).
fof(f4545,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f4544]) ).
fof(f4548,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ34_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f630,f2934]) ).
fof(f4549,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ34_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f659,f4548]) ).
fof(f4550,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ34_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4549]) ).
fof(f4551,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ34_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f4550]) ).
fof(f4552,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2988,f535,f691]) ).
fof(f4553,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2996,f678,f691]) ).
fof(f4557,plain,
( sQ97_spl
| ~ sQ43_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4540,f668,f658,f898]) ).
fof(f4559,plain,
( sQ96_spl
| ~ sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f4538,f626,f636,f894]) ).
fof(f4560,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ39_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3502,f662,f645,f590,f828]) ).
fof(f4561,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3376,f632,f645]) ).
fof(f4564,plain,
( sQ98_spl
| ~ sQ45_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3163,f645,f665,f902]) ).
fof(f4565,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3557,f723,f619]) ).
fof(f4568,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3648,f613,f561]) ).
fof(f4803,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2760,f532,f545]) ).
fof(f4813,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4299,f584,f532]) ).
fof(f4830,plain,
( sQ80_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f695,f1595]) ).
fof(f4893,plain,
( ~ sQ56_spl
| sQ80_spl
| ~ sQ23_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f4830]) ).
fof(f4894,plain,
( ~ sQ56_spl
| sQ80_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f4893]) ).
fof(f4895,plain,
$false,
inference(sat_refutation,[status(thm)],[f531,f544,f557,f570,f583,f596,f609,f622,f635,f648,f661,f674,f687,f700,f713,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f762,f763,f767,f771,f775,f779,f783,f785,f786,f787,f788,f795,f803,f812,f823,f827,f831,f836,f843,f851,f859,f860,f867,f875,f883,f884,f888,f889,f893,f897,f901,f905,f906,f911,f912,f913,f914,f916,f917,f922,f923,f927,f931,f935,f939,f940,f945,f946,f947,f948,f949,f950,f951,f956,f957,f961,f965,f969,f973,f974,f979,f980,f982,f983,f984,f985,f990,f991,f992,f993,f994,f995,f996,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1023,f1025,f1026,f1027,f1028,f1029,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1067,f1068,f1070,f1071,f1072,f1073,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1111,f1112,f1113,f1114,f1115,f1116,f1117,f1118,f1122,f1123,f1125,f1126,f1127,f1128,f1133,f1135,f1136,f1137,f1138,f1139,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1221,f1222,f1223,f1225,f1226,f1227,f1229,f1230,f1232,f1233,f1234,f1236,f1238,f1239,f1240,f1241,f1248,f1253,f1256,f1259,f1264,f1267,f1276,f1279,f1282,f1285,f1291,f1294,f1299,f1302,f1306,f1309,f1315,f1320,f1325,f1330,f1332,f1336,f1337,f1343,f1349,f1358,f1366,f1367,f1374,f1381,f1389,f1392,f1401,f1404,f1405,f1408,f1410,f1412,f1416,f1419,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1436,f1443,f1444,f1452,f1453,f1455,f1456,f1481,f1486,f1490,f1491,f1492,f1493,f1498,f1499,f1500,f1504,f1541,f1565,f1566,f1571,f1577,f1580,f1583,f1615,f1623,f1626,f1628,f1629,f1632,f1679,f1686,f1687,f1693,f1696,f1701,f1703,f1705,f1706,f1708,f1709,f1710,f1712,f1713,f1714,f1715,f1720,f1724,f1725,f1726,f1728,f1730,f1735,f1736,f1737,f1740,f1755,f1758,f1764,f1765,f1766,f1767,f1768,f1770,f1771,f1772,f1794,f1802,f1803,f1804,f1805,f1817,f1824,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1852,f1921,f2005,f2010,f2028,f2041,f2058,f2059,f2060,f2061,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2080,f2081,f2082,f2083,f2118,f2149,f2150,f2153,f2154,f2303,f2306,f2317,f2321,f2323,f2324,f2326,f2328,f2329,f2330,f2335,f2336,f2338,f2425,f2435,f2436,f2437,f2443,f2515,f2518,f2520,f2525,f2533,f2534,f2535,f2537,f2538,f2540,f2609,f2617,f2620,f2623,f2624,f2628,f2705,f2709,f2710,f2716,f2718,f2722,f2724,f2731,f2732,f2733,f2736,f2740,f2741,f2742,f2743,f2744,f2745,f2747,f2753,f2898,f2963,f2967,f2968,f2972,f2974,f2975,f2977,f2979,f2981,f2982,f2984,f2985,f3172,f3173,f3176,f3188,f3326,f3332,f3498,f3510,f3512,f3514,f3519,f3520,f3526,f3722,f3741,f3753,f3776,f3777,f3909,f3917,f3920,f3934,f3935,f3937,f3939,f4117,f4124,f4125,f4309,f4316,f4330,f4350,f4352,f4354,f4364,f4545,f4551,f4552,f4553,f4557,f4559,f4560,f4561,f4564,f4565,f4568,f4803,f4813,f4894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG159+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 12:59:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 2.48/0.75 % Refutation found
% 2.48/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.48/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.48/0.77 % Elapsed time: 0.392694 seconds
% 2.48/0.77 % CPU time: 2.766000 seconds
% 2.48/0.77 % Total memory used: 49.826 MB
% 2.48/0.77 % Net memory used: 49.332 MB
%------------------------------------------------------------------------------