%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG060+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:58 AM UTC 2026
% Result : Theorem 0.13s 0.51s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 277
% Syntax : Number of formulae : 1548 ( 147 unt; 270 def)
% Number of atoms : 6674 (4025 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 8234 (3108 ~;2927 |;1883 &)
% ( 316 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 272 ( 270 usr; 271 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| 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,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = 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(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,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(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e3 = op(e4,op(e4,e4))
& e2 = op(op(e4,op(e4,e4)),e4)
& e1 = op(e4,e4)
& e0 = op(op(e4,e4),e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f12,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f35,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f48,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f52,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f53,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f54,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f60,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f61,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f63,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f64,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f65,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f67,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f122,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f124,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f125,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f135,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f137,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f138,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f139,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f142,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f143,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f146,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f147,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f150,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f152,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f153,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f155,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f156,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f159,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f162,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f164,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f165,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f168,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f174,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f176,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f177,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f178,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f179,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f181,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f183,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f184,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f185,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f186,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f189,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f192,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f193,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f195,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f196,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f198,plain,
e0 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f199,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f200,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f204,plain,
e3 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f205,plain,
e0 = op(op(e4,e4),e4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
e3 = op(e4,op(e4,e4)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,definition,
( sP0_prd
<=> ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f210,definition,
( sP1_prd
<=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f211,plain,
( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| sP1_prd )
& ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f8,f210,f209]) ).
fof(f212,plain,
( op(e4,e4) = e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f215,plain,
( op(e4,e4) != op(e4,e4)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f218,definition,
( sP2_prd
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f219,plain,
( sP0_prd
<=> ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f209,f218]) ).
fof(f220,plain,
( ( ( ( op(e4,e3) = e4
| op(e3,e3) != e4
| op(e4,e4) != e3 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e4,e4) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f226,definition,
( sP3_prd
<=> ( ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f227,plain,
( sP1_prd
<=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f226]) ).
fof(f228,plain,
( ( ( ( op(op(e4,e3),e4) = e3
| op(op(e4,e3),e3) != e4
| op(e3,e4) = op(e4,e3) )
& ~ sP3_prd )
| sP1_prd )
& ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( op(e3,e4) != op(e4,e3)
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
( op(op(e4,e3),e4) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f234,definition,
( sP4_prd
<=> ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f235,plain,
( sP2_prd
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f218,f234]) ).
fof(f236,plain,
( ( ( ( op(e4,e2) = e4
| op(e2,e2) != e4
| op(e4,e4) != e2 )
& ~ sP4_prd )
| sP2_prd )
& ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| sP4_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
( op(e4,e4) = e2
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f242,definition,
( sP5_prd
<=> ( ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f243,plain,
( sP3_prd
<=> ( ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f226,f242]) ).
fof(f244,plain,
( ( ( ( op(op(e4,e2),e4) = e2
| op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2) )
& ~ sP5_prd )
| sP3_prd )
& ( ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
( op(e2,e4) != op(e4,e2)
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
( op(op(e4,e2),e2) = e4
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f250,definition,
( sP6_prd
<=> ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f251,plain,
( sP4_prd
<=> ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f234,f250]) ).
fof(f252,plain,
( ( ( ( op(e4,e1) = e4
| op(e1,e1) != e4
| op(e4,e4) != e1 )
& ~ sP6_prd )
| sP4_prd )
& ( ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| sP6_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
( op(e1,e1) = e4
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,definition,
( sP7_prd
<=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f259,plain,
( sP5_prd
<=> ( ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f242,f258]) ).
fof(f260,plain,
( ( ( ( op(op(e4,e1),e4) = e1
| op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1) )
& ~ sP7_prd )
| sP5_prd )
& ( ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| sP7_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f259]) ).
fof(f262,plain,
( op(op(e4,e1),e1) = e4
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f266,definition,
( sP8_prd
<=> ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f267,plain,
( sP6_prd
<=> ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f266]) ).
fof(f268,plain,
( ( ( ( op(e4,e0) = e4
| op(e0,e0) != e4
| op(e4,e4) != e0 )
& ~ sP8_prd )
| sP6_prd )
& ( ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| sP8_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f267]) ).
fof(f269,plain,
( op(e4,e4) = e0
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f274,definition,
( sP9_prd
<=> ( ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f275,plain,
( sP7_prd
<=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f258,f274]) ).
fof(f276,plain,
( ( ( ( op(op(e4,e0),e4) = e0
| op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0) )
& ~ sP9_prd )
| sP7_prd )
& ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| sP9_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f275]) ).
fof(f277,plain,
( op(e0,e4) != op(e4,e0)
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f278,plain,
( op(op(e4,e0),e0) = e4
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f280,plain,
( ~ sP9_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f282,definition,
( sP10_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f283,plain,
( sP8_prd
<=> ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f266,f282]) ).
fof(f284,plain,
( ( ( ( op(e3,e4) = e3
| op(e4,e4) != e3
| op(e3,e3) != e4 )
& ~ sP10_prd )
| sP8_prd )
& ( ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| sP10_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f283]) ).
fof(f286,plain,
( op(e4,e4) = e3
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f290,definition,
( sP11_prd
<=> ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f291,plain,
( sP9_prd
<=> ( ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f274,f290]) ).
fof(f292,plain,
( ( ( ( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4) )
& ~ sP11_prd )
| sP9_prd )
& ( ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| sP11_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f291]) ).
fof(f293,plain,
( op(e4,e3) != op(e3,e4)
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(op(e3,e4),e4) = e3
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f296,plain,
( ~ sP11_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f298,definition,
( sP12_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f299,plain,
( sP10_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f282,f298]) ).
fof(f300,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3
| op(e3,e3) != e3 )
& ~ sP12_prd )
| sP10_prd )
& ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP12_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f299]) ).
fof(f301,plain,
( op(e3,e3) = e3
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f303,plain,
( op(e3,e3) != e3
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f306,definition,
( sP13_prd
<=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f307,plain,
( sP11_prd
<=> ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f290,f306]) ).
fof(f308,plain,
( ( ( ( op(op(e3,e3),e3) = e3
| op(op(e3,e3),e3) != e3
| op(e3,e3) = op(e3,e3) )
& ~ sP13_prd )
| sP11_prd )
& ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| sP13_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f307]) ).
fof(f309,plain,
( op(e3,e3) != op(e3,e3)
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f312,plain,
( ~ sP13_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f314,definition,
( sP14_prd
<=> ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f315,plain,
( sP12_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f298,f314]) ).
fof(f316,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e2) != e3
| op(e3,e3) != e2 )
& ~ sP14_prd )
| sP12_prd )
& ( ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| sP14_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e3,e3) = e2
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f322,definition,
( sP15_prd
<=> ( ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f323,plain,
( sP13_prd
<=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f306,f322]) ).
fof(f324,plain,
( ( ( ( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2) )
& ~ sP15_prd )
| sP13_prd )
& ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| sP15_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f323]) ).
fof(f325,plain,
( op(e2,e3) != op(e3,e2)
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
( op(op(e3,e2),e2) = e3
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f328,plain,
( ~ sP15_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f330,definition,
( sP16_prd
<=> ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f331,plain,
( sP14_prd
<=> ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f314,f330]) ).
fof(f332,plain,
( ( ( ( op(e3,e1) = e3
| op(e1,e1) != e3
| op(e3,e3) != e1 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f331]) ).
fof(f334,plain,
( op(e1,e1) = e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f338,definition,
( sP17_prd
<=> ( ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f339,plain,
( sP15_prd
<=> ( ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f322,f338]) ).
fof(f340,plain,
( ( ( ( op(op(e3,e1),e3) = e1
| op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1) )
& ~ sP17_prd )
| sP15_prd )
& ( ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f342,plain,
( op(op(e3,e1),e1) = e3
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f344,plain,
( ~ sP17_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,definition,
( sP18_prd
<=> ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f347,plain,
( sP16_prd
<=> ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f330,f346]) ).
fof(f348,plain,
( ( ( ( op(e3,e0) = e3
| op(e0,e0) != e3
| op(e3,e3) != e0 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( op(e3,e3) = e0
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
( op(e0,e0) = e3
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f354,definition,
( sP19_prd
<=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f355,plain,
( sP17_prd
<=> ( ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f338,f354]) ).
fof(f356,plain,
( ( ( ( op(op(e3,e0),e3) = e0
| op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0) )
& ~ sP19_prd )
| sP17_prd )
& ( ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
( op(e0,e3) != op(e3,e0)
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f358,plain,
( op(op(e3,e0),e0) = e3
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f359,plain,
( op(op(e3,e0),e3) != e0
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f360,plain,
( ~ sP19_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,definition,
( sP20_prd
<=> ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f363,plain,
( sP18_prd
<=> ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f346,f362]) ).
fof(f364,plain,
( ( ( ( op(e2,e4) = e2
| op(e4,e4) != e2
| op(e2,e2) != e4 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f363]) ).
fof(f366,plain,
( op(e4,e4) = e2
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f370,definition,
( sP21_prd
<=> ( ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f371,plain,
( sP19_prd
<=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f354,f370]) ).
fof(f372,plain,
( ( ( ( op(op(e2,e4),e2) = e4
| op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4) )
& ~ sP21_prd )
| sP19_prd )
& ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
( op(e4,e2) != op(e2,e4)
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f375,plain,
( op(op(e2,e4),e2) != e4
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f376,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f378,definition,
( sP22_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f379,plain,
( sP20_prd
<=> ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f362,f378]) ).
fof(f380,plain,
( ( ( ( op(e2,e3) = e2
| op(e3,e3) != e2
| op(e2,e2) != e3 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
( op(e2,e2) = e3
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
( op(e3,e3) = e2
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,definition,
( sP23_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f387,plain,
( sP21_prd
<=> ( ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f370,f386]) ).
fof(f388,plain,
( ( ( ( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3) )
& ~ sP23_prd )
| sP21_prd )
& ( ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f387]) ).
fof(f389,plain,
( op(e3,e2) != op(e2,e3)
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
( op(op(e2,e3),e3) = e2
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f392,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f394,definition,
( sP24_prd
<=> ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f395,plain,
( sP22_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f378,f394]) ).
fof(f396,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f397,plain,
( op(e2,e2) = e2
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f399,plain,
( op(e2,e2) != e2
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f402,definition,
( sP25_prd
<=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f403,plain,
( sP23_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f386,f402]) ).
fof(f404,plain,
( ( ( ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,e2) = op(e2,e2) )
& ~ sP25_prd )
| sP23_prd )
& ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f403]) ).
fof(f405,plain,
( op(e2,e2) != op(e2,e2)
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f408,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,definition,
( sP26_prd
<=> ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f411,plain,
( sP24_prd
<=> ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f394,f410]) ).
fof(f412,plain,
( ( ( ( op(e2,e1) = e2
| op(e1,e1) != e2
| op(e2,e2) != e1 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f411]) ).
fof(f413,plain,
( op(e2,e2) = e1
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f414,plain,
( op(e1,e1) = e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,definition,
( sP27_prd
<=> ( ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f419,plain,
( sP25_prd
<=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f402,f418]) ).
fof(f420,plain,
( ( ( ( op(op(e2,e1),e2) = e1
| op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1) )
& ~ sP27_prd )
| sP25_prd )
& ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f419]) ).
fof(f421,plain,
( op(e1,e2) != op(e2,e1)
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f422,plain,
( op(op(e2,e1),e1) = e2
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f424,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f426,definition,
( sP28_prd
<=> ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f427,plain,
( sP26_prd
<=> ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f410,f426]) ).
fof(f428,plain,
( ( ( ( op(e2,e0) = e2
| op(e0,e0) != e2
| op(e2,e2) != e0 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(e2,e2) = e0
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,definition,
( sP29_prd
<=> ( ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f435,plain,
( sP27_prd
<=> ( ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f418,f434]) ).
fof(f436,plain,
( ( ( ( op(op(e2,e0),e2) = e0
| op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0) )
& ~ sP29_prd )
| sP27_prd )
& ( ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f435]) ).
fof(f437,plain,
( op(e0,e2) != op(e2,e0)
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f440,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f442,definition,
( sP30_prd
<=> ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f443,plain,
( sP28_prd
<=> ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f426,f442]) ).
fof(f444,plain,
( ( ( ( op(e1,e4) = e1
| op(e4,e4) != e1
| op(e1,e1) != e4 )
& ~ sP30_prd )
| sP28_prd )
& ( ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| sP30_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f443]) ).
fof(f445,plain,
( op(e1,e1) = e4
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f444]) ).
fof(f450,definition,
( sP31_prd
<=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f451,plain,
( sP29_prd
<=> ( ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f434,f450]) ).
fof(f452,plain,
( ( ( ( op(op(e1,e4),e1) = e4
| op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4) )
& ~ sP31_prd )
| sP29_prd )
& ( ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| sP31_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f451]) ).
fof(f454,plain,
( op(op(e1,e4),e4) = e1
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f456,plain,
( ~ sP31_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f458,definition,
( sP32_prd
<=> ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f459,plain,
( sP30_prd
<=> ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f442,f458]) ).
fof(f460,plain,
( ( ( ( op(e1,e3) = e1
| op(e3,e3) != e1
| op(e1,e1) != e3 )
& ~ sP32_prd )
| sP30_prd )
& ( ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| sP32_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f459]) ).
fof(f461,plain,
( op(e1,e1) = e3
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f466,definition,
( sP33_prd
<=> ( ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f467,plain,
( sP31_prd
<=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f450,f466]) ).
fof(f468,plain,
( ( ( ( op(op(e1,e3),e1) = e3
| op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3) )
& ~ sP33_prd )
| sP31_prd )
& ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| sP33_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f467]) ).
fof(f470,plain,
( op(op(e1,e3),e3) = e1
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f471,plain,
( op(op(e1,e3),e1) != e3
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f472,plain,
( ~ sP33_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f474,definition,
( sP34_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f475,plain,
( sP32_prd
<=> ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f458,f474]) ).
fof(f476,plain,
( ( ( ( op(e1,e2) = e1
| op(e2,e2) != e1
| op(e1,e1) != e2 )
& ~ sP34_prd )
| sP32_prd )
& ( ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| sP34_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f475]) ).
fof(f477,plain,
( op(e1,e1) = e2
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f478,plain,
( op(e2,e2) = e1
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f481,plain,
( op(e1,e2) = e1
| op(e2,e2) != e1
| op(e1,e1) != e2
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f482,definition,
( sP35_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f483,plain,
( sP33_prd
<=> ( ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f466,f482]) ).
fof(f484,plain,
( ( ( ( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2) )
& ~ sP35_prd )
| sP33_prd )
& ( ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| sP35_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( op(e2,e1) != op(e1,e2)
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f486,plain,
( op(op(e1,e2),e2) = e1
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f488,plain,
( ~ sP35_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f490,definition,
( sP36_prd
<=> ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f491,plain,
( sP34_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f474,f490]) ).
fof(f492,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP36_prd )
| sP34_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP36_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f491]) ).
fof(f493,plain,
( op(e1,e1) = e1
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f495,plain,
( op(e1,e1) != e1
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f498,definition,
( sP37_prd
<=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f499,plain,
( sP35_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f482,f498]) ).
fof(f500,plain,
( ( ( ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,e1) = op(e1,e1) )
& ~ sP37_prd )
| sP35_prd )
& ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| sP37_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( op(e1,e1) != op(e1,e1)
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f504,plain,
( ~ sP37_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f506,definition,
( sP38_prd
<=> ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f507,plain,
( sP36_prd
<=> ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f490,f506]) ).
fof(f508,plain,
( ( ( ( op(e1,e0) = e1
| op(e0,e0) != e1
| op(e1,e1) != e0 )
& ~ sP38_prd )
| sP36_prd )
& ( ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| sP38_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f507]) ).
fof(f509,plain,
( op(e1,e1) = e0
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f508]) ).
fof(f514,definition,
( sP39_prd
<=> ( ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f515,plain,
( sP37_prd
<=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f514]) ).
fof(f516,plain,
( ( ( ( op(op(e1,e0),e1) = e0
| op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0) )
& ~ sP39_prd )
| sP37_prd )
& ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| sP39_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f515]) ).
fof(f517,plain,
( op(e0,e1) != op(e1,e0)
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f519,plain,
( op(op(e1,e0),e1) != e0
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f520,plain,
( ~ sP39_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f516]) ).
fof(f522,definition,
( sP40_prd
<=> ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f523,plain,
( sP38_prd
<=> ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f506,f522]) ).
fof(f524,plain,
( ( ( ( op(e0,e4) = e0
| op(e4,e4) != e0
| op(e0,e0) != e4 )
& ~ sP40_prd )
| sP38_prd )
& ( ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f523]) ).
fof(f525,plain,
( op(e0,e0) = e4
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f526,plain,
( op(e4,e4) = e0
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f530,definition,
( sP41_prd
<=> ( ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f531,plain,
( sP39_prd
<=> ( ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f514,f530]) ).
fof(f532,plain,
( ( ( ( op(op(e0,e4),e0) = e4
| op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4) )
& ~ sP41_prd )
| sP39_prd )
& ( ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f531]) ).
fof(f533,plain,
( op(e4,e0) != op(e0,e4)
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( op(op(e0,e4),e4) = e0
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f536,plain,
( ~ sP41_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f538,definition,
( sP42_prd
<=> ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f539,plain,
( sP40_prd
<=> ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f522,f538]) ).
fof(f540,plain,
( ( ( ( op(e0,e3) = e0
| op(e3,e3) != e0
| op(e0,e0) != e3 )
& ~ sP42_prd )
| sP40_prd )
& ( ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| sP42_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( op(e0,e0) = e3
| sP42_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f546,definition,
( sP43_prd
<=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f547,plain,
( sP41_prd
<=> ( ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f530,f546]) ).
fof(f548,plain,
( ( ( ( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3) )
& ~ sP43_prd )
| sP41_prd )
& ( ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| sP43_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f547]) ).
fof(f549,plain,
( op(e3,e0) != op(e0,e3)
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f550,plain,
( op(op(e0,e3),e3) = e0
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f551,plain,
( op(op(e0,e3),e0) != e3
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f552,plain,
( ~ sP43_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f553,plain,
( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f554,definition,
( sP44_prd
<=> ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f555,plain,
( sP42_prd
<=> ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f538,f554]) ).
fof(f556,plain,
( ( ( ( op(e0,e2) = e0
| op(e2,e2) != e0
| op(e0,e0) != e2 )
& ~ sP44_prd )
| sP42_prd )
& ( ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| sP44_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f555]) ).
fof(f557,plain,
( op(e0,e0) = e2
| sP44_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f558,plain,
( op(e2,e2) = e0
| sP44_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f562,definition,
( sP45_prd
<=> ( ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f563,plain,
( sP43_prd
<=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f546,f562]) ).
fof(f564,plain,
( ( ( ( op(op(e0,e2),e0) = e2
| op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2) )
& ~ sP45_prd )
| sP43_prd )
& ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| sP45_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f563]) ).
fof(f565,plain,
( op(e2,e0) != op(e0,e2)
| sP45_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f568,plain,
( ~ sP45_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f570,definition,
( sP46_prd
<=> ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f571,plain,
( sP44_prd
<=> ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f554,f570]) ).
fof(f572,plain,
( ( ( ( op(e0,e1) = e0
| op(e1,e1) != e0
| op(e0,e0) != e1 )
& ~ sP46_prd )
| sP44_prd )
& ( ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| sP46_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f571]) ).
fof(f574,plain,
( op(e1,e1) = e0
| sP46_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f578,definition,
( sP47_prd
<=> ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f579,plain,
( sP45_prd
<=> ( ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f562,f578]) ).
fof(f580,plain,
( ( ( ( op(op(e0,e1),e0) = e1
| op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1) )
& ~ sP47_prd )
| sP45_prd )
& ( ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| sP47_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f579]) ).
fof(f582,plain,
( op(op(e0,e1),e1) = e0
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f580]) ).
fof(f583,plain,
( op(op(e0,e1),e0) != e1
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f580]) ).
fof(f585,plain,
( op(op(e0,e1),e0) = e1
| op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f580]) ).
fof(f586,plain,
( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP46_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f570]) ).
fof(f587,plain,
( op(e0,e0) = e0
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f589,plain,
( op(e0,e0) != e0
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f591,plain,
( ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,e0) = op(e0,e0)
| sP47_prd )
& ( ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) )
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f578]) ).
fof(f592,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f591]) ).
fof(f596,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ4_spl
| op(e0,e0) = e4 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f612,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ7_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ9_spl
| op(e0,e1) = e4 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f628,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f640,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f644,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ16_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ17_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ18_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f12,f644,f647,f650,f653,f656]) ).
fof(f660,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ21_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ21_spl
| op(e0,e4) = e1 ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ22_spl
| op(e0,e4) = e2 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f676,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ27_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f692,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f15,f692,f695,f698,f701,f704]) ).
fof(f708,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f724,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f727,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ41_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ42_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( ~ sQ43_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f17,f724,f727,f730,f733,f736]) ).
fof(f740,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ46_spl
| op(e1,e4) = e1 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ49_spl
| op(e1,e4) = e4 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f756,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ50_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ51_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ51_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f19,f756,f759,f762,f765,f768]) ).
fof(f772,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f781,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f784,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f788,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ63_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ64_spl
| op(e2,e2) = e4 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f804,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ66_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ66_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f820,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ70_spl
| op(e2,e4) = e0 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ74_spl
| op(e2,e4) = e4 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f836,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ77_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f24,f836,f839,f842,f845,f848]) ).
fof(f852,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ81_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ81_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f25,f852,f855,f858,f861,f864]) ).
fof(f868,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ87_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ88_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f26,f868,f871,f874,f877,f880]) ).
fof(f884,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f887,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f890,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ92_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f900,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ98_spl
| op(e3,e4) = e3 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f916,definition,
( sQ100_spl
<=> op(e4,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ100_spl
| op(e4,e0) = e0 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
( sQ101_spl
<=> op(e4,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ101_spl
| op(e4,e0) = e1 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,definition,
( sQ103_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( ~ sQ103_spl
| op(e4,e0) = e3 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f932,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,definition,
( sQ106_spl
<=> op(e4,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ106_spl
| op(e4,e1) = e1 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f944,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f30,f932,f935,f938,f941,f944]) ).
fof(f948,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,definition,
( sQ114_spl
<=> op(e4,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f31,f948,f951,f954,f957,f960]) ).
fof(f964,definition,
( sQ115_spl
<=> op(e4,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ115_spl
| op(e4,e3) = e0 ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( ~ sQ118_spl
| op(e4,e3) = e3 ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f980,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f986,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ122_spl
| op(e4,e4) = e2 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f33,f980,f983,f986,f989,f992]) ).
fof(f996,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ125_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( ~ sQ129_spl
| unit = e4 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f44,f996,f999,f1002,f1005,f1008]) ).
fof(f1014,plain,
( sQ21_spl
| sQ16_spl
| sQ11_spl
| sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f47,f599,f615,f631,f647,f663]) ).
fof(f1015,plain,
( sQ101_spl
| sQ76_spl
| sQ51_spl
| sQ26_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f599,f679,f759,f839,f919]) ).
fof(f1016,plain,
( sQ22_spl
| sQ17_spl
| sQ12_spl
| sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f49,f602,f618,f634,f650,f666]) ).
fof(f1019,plain,
( sQ103_spl
| sQ78_spl
| sQ53_spl
| sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f605,f685,f765,f845,f925]) ).
fof(f1020,plain,
( sQ24_spl
| sQ19_spl
| sQ14_spl
| sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f53,f608,f624,f640,f656,f672]) ).
fof(f1021,plain,
( sQ104_spl
| sQ79_spl
| sQ54_spl
| sQ29_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f54,f608,f688,f768,f848,f928]) ).
fof(f1025,plain,
( sQ106_spl
| sQ81_spl
| sQ56_spl
| sQ31_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f58,f615,f695,f775,f855,f935]) ).
fof(f1026,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f59,f682,f698,f714,f730,f746]) ).
fof(f1027,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f60,f618,f698,f778,f858,f938]) ).
fof(f1028,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f61,f685,f701,f717,f733,f749]) ).
fof(f1030,plain,
( sQ49_spl
| sQ44_spl
| sQ39_spl
| sQ34_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f63,f688,f704,f720,f736,f752]) ).
fof(f1031,plain,
( sQ109_spl
| sQ84_spl
| sQ59_spl
| sQ34_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f64,f624,f704,f784,f864,f944]) ).
fof(f1032,plain,
( sQ70_spl
| sQ65_spl
| sQ60_spl
| sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f65,f756,f772,f788,f804,f820]) ).
fof(f1034,plain,
( sQ71_spl
| sQ66_spl
| sQ61_spl
| sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f67,f759,f775,f791,f807,f823]) ).
fof(f1035,plain,
( sQ111_spl
| sQ86_spl
| sQ61_spl
| sQ36_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f68,f631,f711,f791,f871,f951]) ).
fof(f1040,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f73,f768,f784,f800,f816,f832]) ).
fof(f1042,plain,
( sQ95_spl
| sQ90_spl
| sQ85_spl
| sQ80_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f75,f836,f852,f868,f884,f900]) ).
fof(f1044,plain,
( sQ96_spl
| sQ91_spl
| sQ86_spl
| sQ81_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f77,f839,f855,f871,f887,f903]) ).
fof(f1047,plain,
( sQ117_spl
| sQ92_spl
| sQ67_spl
| sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f80,f650,f730,f810,f890,f970]) ).
fof(f1052,plain,
( sQ120_spl
| sQ115_spl
| sQ110_spl
| sQ105_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f85,f916,f932,f948,f964,f980]) ).
fof(f1053,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f86,f660,f740,f820,f900,f980]) ).
fof(f1056,plain,
( sQ122_spl
| sQ117_spl
| sQ112_spl
| sQ107_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f89,f922,f938,f954,f970,f986]) ).
fof(f1057,plain,
( sQ122_spl
| sQ97_spl
| sQ72_spl
| sQ47_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f90,f666,f746,f826,f906,f986]) ).
fof(f1059,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f92,f669,f749,f829,f909,f989]) ).
fof(f1062,definition,
( sQ130_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( sQ124_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f212,f1062,f992]) ).
fof(f1068,definition,
( sQ131_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1071,definition,
( sQ132_spl
<=> op(e4,e4) = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( sQ132_spl
| op(e4,e4) != op(e4,e4) ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,plain,
( ~ sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f215,f1068,f1071]) ).
fof(f1075,definition,
( sQ133_spl
<=> op(op(e4,e4),e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ133_spl
| op(op(e4,e4),e4) = e4 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1080,definition,
( sQ134_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( sQ123_spl
| sQ134_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f221,f1062,f1080,f989]) ).
fof(f1088,definition,
( sQ135_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1091,definition,
( sQ136_spl
<=> op(e3,e4) = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ136_spl
| op(e3,e4) = op(e4,e3) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
( sQ136_spl
| op(e3,e4) != op(e4,e3) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,plain,
( ~ sQ136_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f229,f1068,f1088,f1091]) ).
fof(f1099,definition,
( sQ138_spl
<=> op(op(e4,e3),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( ~ sQ138_spl
| op(op(e4,e3),e4) = e3 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1101,plain,
( sQ138_spl
| op(op(e4,e3),e4) != e3 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,plain,
( ~ sQ138_spl
| sQ135_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f231,f1068,f1088,f1099]) ).
fof(f1105,definition,
( sQ139_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( sQ122_spl
| sQ139_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f237,f1080,f1105,f986]) ).
fof(f1113,definition,
( sQ140_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1116,definition,
( sQ141_spl
<=> op(e2,e4) = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( sQ141_spl
| op(e2,e4) != op(e4,e2) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1119,plain,
( ~ sQ141_spl
| sQ140_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f245,f1088,f1113,f1116]) ).
fof(f1120,definition,
( sQ142_spl
<=> op(op(e4,e2),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( ~ sQ142_spl
| op(op(e4,e2),e2) = e4 ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1122,plain,
( sQ142_spl
| op(op(e4,e2),e2) != e4 ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,plain,
( sQ142_spl
| sQ140_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f246,f1088,f1113,f1120]) ).
fof(f1130,definition,
( sQ144_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( sQ34_spl
| sQ144_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f254,f1105,f1130,f704]) ).
fof(f1138,definition,
( sQ145_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1141,definition,
( sQ146_spl
<=> op(e1,e4) = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( ~ sQ146_spl
| op(e1,e4) = op(e4,e1) ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1145,definition,
( sQ147_spl
<=> op(op(e4,e1),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( ~ sQ147_spl
| op(op(e4,e1),e1) = e4 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1147,plain,
( sQ147_spl
| op(op(e4,e1),e1) != e4 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( sQ147_spl
| sQ145_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f262,f1113,f1138,f1145]) ).
fof(f1155,definition,
( sQ149_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( sQ120_spl
| sQ149_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f269,f1130,f1155,f980]) ).
fof(f1163,definition,
( sQ150_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1166,definition,
( sQ151_spl
<=> op(e0,e4) = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( sQ151_spl
| op(e0,e4) != op(e4,e0) ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,plain,
( ~ sQ151_spl
| sQ150_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f277,f1138,f1163,f1166]) ).
fof(f1170,definition,
( sQ152_spl
<=> op(op(e4,e0),e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( ~ sQ152_spl
| op(op(e4,e0),e0) = e4 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( sQ152_spl
| sQ150_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f278,f1138,f1163,f1170]) ).
fof(f1178,plain,
( ~ sQ150_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f280,f1138,f1163]) ).
fof(f1180,definition,
( sQ154_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( sQ123_spl
| sQ154_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f286,f1155,f1180,f989]) ).
fof(f1188,definition,
( sQ155_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( ~ sQ136_spl
| sQ155_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f293,f1163,f1188,f1091]) ).
fof(f1192,definition,
( sQ156_spl
<=> op(op(e3,e4),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ156_spl
| op(op(e3,e4),e4) = e3 ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1194,plain,
( sQ156_spl
| op(op(e3,e4),e4) != e3 ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,plain,
( sQ156_spl
| sQ155_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f294,f1163,f1188,f1192]) ).
fof(f1196,definition,
( sQ157_spl
<=> op(op(e3,e4),e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ157_spl
| op(op(e3,e4),e3) = e4 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1198,plain,
( sQ157_spl
| op(op(e3,e4),e3) != e4 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1200,plain,
( ~ sQ155_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f296,f1163,f1188]) ).
fof(f1202,definition,
( sQ158_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( sQ93_spl
| sQ158_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f301,f1180,f1202,f893]) ).
fof(f1207,plain,
( ~ sQ93_spl
| sQ158_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f303,f1180,f1202,f893]) ).
fof(f1210,definition,
( sQ159_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1213,definition,
( sQ160_spl
<=> op(e3,e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( sQ160_spl
| op(e3,e3) != op(e3,e3) ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,plain,
( ~ sQ160_spl
| sQ159_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f309,f1188,f1210,f1213]) ).
fof(f1222,plain,
( ~ sQ159_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f312,f1188,f1210]) ).
fof(f1224,definition,
( sQ162_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( sQ92_spl
| sQ162_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f317,f1202,f1224,f890]) ).
fof(f1232,definition,
( sQ163_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1235,definition,
( sQ164_spl
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1237,plain,
( sQ164_spl
| op(e2,e3) != op(e3,e2) ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( ~ sQ164_spl
| sQ163_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f325,f1210,f1232,f1235]) ).
fof(f1239,definition,
( sQ165_spl
<=> op(op(e3,e2),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( ~ sQ165_spl
| op(op(e3,e2),e2) = e3 ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1241,plain,
( sQ165_spl
| op(op(e3,e2),e2) != e3 ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1242,plain,
( sQ165_spl
| sQ163_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f326,f1210,f1232,f1239]) ).
fof(f1247,plain,
( ~ sQ163_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f328,f1210,f1232]) ).
fof(f1249,definition,
( sQ167_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( sQ33_spl
| sQ167_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f334,f1224,f1249,f701]) ).
fof(f1257,definition,
( sQ168_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1260,definition,
( sQ169_spl
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( ~ sQ169_spl
| op(e1,e3) = op(e3,e1) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1262,plain,
( sQ169_spl
| op(e1,e3) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1264,definition,
( sQ170_spl
<=> op(op(e3,e1),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( ~ sQ170_spl
| op(op(e3,e1),e1) = e3 ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( sQ170_spl
| sQ168_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f342,f1232,f1257,f1264]) ).
fof(f1272,plain,
( ~ sQ168_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f344,f1232,f1257]) ).
fof(f1274,definition,
( sQ172_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
( sQ90_spl
| sQ172_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f349,f1249,f1274,f884]) ).
fof(f1278,plain,
( sQ3_spl
| sQ172_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f350,f1249,f1274,f605]) ).
fof(f1282,definition,
( sQ173_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1285,definition,
( sQ174_spl
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ174_spl
| op(e0,e3) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( sQ174_spl
| op(e0,e3) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ sQ174_spl
| sQ173_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f357,f1257,f1282,f1285]) ).
fof(f1289,definition,
( sQ175_spl
<=> op(op(e3,e0),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( sQ175_spl
| sQ173_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f358,f1257,f1282,f1289]) ).
fof(f1293,definition,
( sQ176_spl
<=> op(op(e3,e0),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ176_spl
| sQ173_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f359,f1257,f1282,f1293]) ).
fof(f1297,plain,
( ~ sQ173_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f360,f1257,f1282]) ).
fof(f1299,definition,
( sQ177_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( sQ122_spl
| sQ177_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f366,f1274,f1299,f986]) ).
fof(f1307,definition,
( sQ178_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( ~ sQ141_spl
| sQ178_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f373,f1282,f1307,f1116]) ).
fof(f1315,definition,
( sQ180_spl
<=> op(op(e2,e4),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( sQ180_spl
| op(op(e2,e4),e2) != e4 ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
( ~ sQ180_spl
| sQ178_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f375,f1282,f1307,f1315]) ).
fof(f1319,plain,
( ~ sQ178_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f376,f1282,f1307]) ).
fof(f1321,definition,
( sQ181_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( sQ63_spl
| sQ181_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f381,f1299,f1321,f797]) ).
fof(f1325,plain,
( sQ92_spl
| sQ181_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f382,f1299,f1321,f890]) ).
fof(f1329,definition,
( sQ182_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1332,plain,
( ~ sQ164_spl
| sQ182_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f389,f1307,f1329,f1235]) ).
fof(f1333,definition,
( sQ183_spl
<=> op(op(e2,e3),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( ~ sQ183_spl
| op(op(e2,e3),e3) = e2 ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1335,plain,
( sQ183_spl
| op(op(e2,e3),e3) != e2 ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1336,plain,
( sQ183_spl
| sQ182_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f390,f1307,f1329,f1333]) ).
fof(f1341,plain,
( ~ sQ182_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f392,f1307,f1329]) ).
fof(f1343,definition,
( sQ185_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( sQ62_spl
| sQ185_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f397,f1321,f1343,f794]) ).
fof(f1348,plain,
( ~ sQ62_spl
| sQ185_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f399,f1321,f1343,f794]) ).
fof(f1351,definition,
( sQ186_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1354,definition,
( sQ187_spl
<=> op(e2,e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( sQ187_spl
| op(e2,e2) != op(e2,e2) ),
inference(component_clause,[status(thm)],[f1354]) ).
fof(f1357,plain,
( ~ sQ187_spl
| sQ186_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f405,f1329,f1351,f1354]) ).
fof(f1363,plain,
( ~ sQ186_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f408,f1329,f1351]) ).
fof(f1365,definition,
( sQ189_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1368,plain,
( sQ61_spl
| sQ189_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f413,f1343,f1365,f791]) ).
fof(f1369,plain,
( sQ32_spl
| sQ189_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f414,f1343,f1365,f698]) ).
fof(f1373,definition,
( sQ190_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1376,definition,
( sQ191_spl
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( ~ sQ191_spl
| op(e1,e2) = op(e2,e1) ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1378,plain,
( sQ191_spl
| op(e1,e2) != op(e2,e1) ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1379,plain,
( ~ sQ191_spl
| sQ190_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f421,f1351,f1373,f1376]) ).
fof(f1380,definition,
( sQ192_spl
<=> op(op(e2,e1),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1381,plain,
( ~ sQ192_spl
| op(op(e2,e1),e1) = e2 ),
inference(component_clause,[status(thm)],[f1380]) ).
fof(f1383,plain,
( sQ192_spl
| sQ190_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f422,f1351,f1373,f1380]) ).
fof(f1388,plain,
( ~ sQ190_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f424,f1351,f1373]) ).
fof(f1390,definition,
( sQ194_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1393,plain,
( sQ60_spl
| sQ194_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f429,f1365,f1390,f788]) ).
fof(f1398,definition,
( sQ195_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1401,definition,
( sQ196_spl
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1402,plain,
( ~ sQ196_spl
| op(e0,e2) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1403,plain,
( sQ196_spl
| op(e0,e2) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1404,plain,
( ~ sQ196_spl
| sQ195_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f437,f1373,f1398,f1401]) ).
fof(f1405,definition,
( sQ197_spl
<=> op(op(e2,e0),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( ~ sQ197_spl
| op(op(e2,e0),e0) = e2 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1407,plain,
( sQ197_spl
| op(op(e2,e0),e0) != e2 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1409,definition,
( sQ198_spl
<=> op(op(e2,e0),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1411,plain,
( sQ198_spl
| op(op(e2,e0),e2) != e0 ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1413,plain,
( ~ sQ195_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f440,f1373,f1398]) ).
fof(f1415,definition,
( sQ199_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1418,plain,
( sQ34_spl
| sQ199_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f445,f1390,f1415,f704]) ).
fof(f1423,definition,
( sQ200_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1427,definition,
( sQ201_spl
<=> op(op(e1,e4),e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( ~ sQ201_spl
| op(op(e1,e4),e4) = e1 ),
inference(component_clause,[status(thm)],[f1427]) ).
fof(f1430,plain,
( sQ201_spl
| sQ200_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f454,f1398,f1423,f1427]) ).
fof(f1431,definition,
( sQ202_spl
<=> op(op(e1,e4),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( ~ sQ202_spl
| op(op(e1,e4),e1) = e4 ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1433,plain,
( sQ202_spl
| op(op(e1,e4),e1) != e4 ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1435,plain,
( ~ sQ200_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f456,f1398,f1423]) ).
fof(f1437,definition,
( sQ203_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( sQ33_spl
| sQ203_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f461,f1415,f1437,f701]) ).
fof(f1445,definition,
( sQ204_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1449,definition,
( sQ205_spl
<=> op(op(e1,e3),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( ~ sQ205_spl
| op(op(e1,e3),e3) = e1 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( sQ205_spl
| sQ204_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f470,f1423,f1445,f1449]) ).
fof(f1453,definition,
( sQ206_spl
<=> op(op(e1,e3),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1456,plain,
( ~ sQ206_spl
| sQ204_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f471,f1423,f1445,f1453]) ).
fof(f1457,plain,
( ~ sQ204_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f472,f1423,f1445]) ).
fof(f1459,definition,
( sQ207_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1462,plain,
( sQ32_spl
| sQ207_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f477,f1437,f1459,f698]) ).
fof(f1463,plain,
( sQ61_spl
| sQ207_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f478,f1437,f1459,f791]) ).
fof(f1466,plain,
( sQ36_spl
| ~ sQ61_spl
| ~ sQ32_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f481,f1437,f698,f791,f711]) ).
fof(f1467,definition,
( sQ208_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1470,plain,
( ~ sQ191_spl
| sQ208_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f485,f1445,f1467,f1376]) ).
fof(f1471,definition,
( sQ209_spl
<=> op(op(e1,e2),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1472,plain,
( ~ sQ209_spl
| op(op(e1,e2),e2) = e1 ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1473,plain,
( sQ209_spl
| op(op(e1,e2),e2) != e1 ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1474,plain,
( sQ209_spl
| sQ208_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f486,f1445,f1467,f1471]) ).
fof(f1479,plain,
( ~ sQ208_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f488,f1445,f1467]) ).
fof(f1481,definition,
( sQ211_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ31_spl
| sQ211_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f493,f1459,f1481,f695]) ).
fof(f1486,plain,
( ~ sQ31_spl
| sQ211_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f495,f1459,f1481,f695]) ).
fof(f1489,definition,
( sQ212_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1492,definition,
( sQ213_spl
<=> op(e1,e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( sQ213_spl
| op(e1,e1) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,plain,
( ~ sQ213_spl
| sQ212_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f501,f1467,f1489,f1492]) ).
fof(f1501,plain,
( ~ sQ212_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f504,f1467,f1489]) ).
fof(f1503,definition,
( sQ215_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1506,plain,
( sQ30_spl
| sQ215_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f509,f1481,f1503,f692]) ).
fof(f1511,definition,
( sQ216_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1514,definition,
( sQ217_spl
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ217_spl
| op(e0,e1) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1516,plain,
( sQ217_spl
| op(e0,e1) != op(e1,e0) ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1517,plain,
( ~ sQ217_spl
| sQ216_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f517,f1489,f1511,f1514]) ).
fof(f1518,definition,
( sQ218_spl
<=> op(op(e1,e0),e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( ~ sQ218_spl
| op(op(e1,e0),e0) = e1 ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1520,plain,
( sQ218_spl
| op(op(e1,e0),e0) != e1 ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1522,definition,
( sQ219_spl
<=> op(op(e1,e0),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( sQ219_spl
| op(op(e1,e0),e1) != e0 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1525,plain,
( ~ sQ219_spl
| sQ216_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f519,f1489,f1511,f1522]) ).
fof(f1526,plain,
( ~ sQ216_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f520,f1489,f1511]) ).
fof(f1528,definition,
( sQ220_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( sQ4_spl
| sQ220_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f525,f1503,f1528,f608]) ).
fof(f1532,plain,
( sQ120_spl
| sQ220_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f526,f1503,f1528,f980]) ).
fof(f1536,definition,
( sQ221_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1539,plain,
( ~ sQ151_spl
| sQ221_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f533,f1511,f1536,f1166]) ).
fof(f1540,definition,
( sQ222_spl
<=> op(op(e0,e4),e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( ~ sQ222_spl
| op(op(e0,e4),e4) = e0 ),
inference(component_clause,[status(thm)],[f1540]) ).
fof(f1543,plain,
( sQ222_spl
| sQ221_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f534,f1511,f1536,f1540]) ).
fof(f1548,plain,
( ~ sQ221_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f536,f1511,f1536]) ).
fof(f1550,definition,
( sQ224_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( sQ3_spl
| sQ224_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f541,f1528,f1550,f605]) ).
fof(f1558,definition,
( sQ225_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ174_spl
| sQ225_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f549,f1536,f1558,f1285]) ).
fof(f1562,definition,
( sQ226_spl
<=> op(op(e0,e3),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( sQ226_spl
| sQ225_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f550,f1536,f1558,f1562]) ).
fof(f1566,definition,
( sQ227_spl
<=> op(op(e0,e3),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1569,plain,
( ~ sQ227_spl
| sQ225_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f551,f1536,f1558,f1566]) ).
fof(f1570,plain,
( ~ sQ225_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f552,f1536,f1558]) ).
fof(f1571,plain,
( sQ227_spl
| ~ sQ226_spl
| sQ174_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f553,f1536,f1285,f1562,f1566]) ).
fof(f1572,definition,
( sQ228_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
( sQ2_spl
| sQ228_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f557,f1550,f1572,f602]) ).
fof(f1576,plain,
( sQ60_spl
| sQ228_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f558,f1550,f1572,f788]) ).
fof(f1580,definition,
( sQ229_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1583,plain,
( ~ sQ196_spl
| sQ229_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f565,f1558,f1580,f1401]) ).
fof(f1588,definition,
( sQ231_spl
<=> op(op(e0,e2),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1590,plain,
( sQ231_spl
| op(op(e0,e2),e0) != e2 ),
inference(component_clause,[status(thm)],[f1588]) ).
fof(f1592,plain,
( ~ sQ229_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f568,f1558,f1580]) ).
fof(f1594,definition,
( sQ232_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
( sQ30_spl
| sQ232_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f574,f1572,f1594,f692]) ).
fof(f1602,definition,
( sQ233_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1606,definition,
( sQ234_spl
<=> op(op(e0,e1),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( ~ sQ234_spl
| op(op(e0,e1),e1) = e0 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1609,plain,
( sQ234_spl
| sQ233_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f582,f1580,f1602,f1606]) ).
fof(f1610,definition,
( sQ235_spl
<=> op(op(e0,e1),e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1611,plain,
( ~ sQ235_spl
| op(op(e0,e1),e0) = e1 ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1612,plain,
( sQ235_spl
| op(op(e0,e1),e0) != e1 ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1613,plain,
( ~ sQ235_spl
| sQ233_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f583,f1580,f1602,f1610]) ).
fof(f1615,plain,
( sQ235_spl
| ~ sQ234_spl
| sQ217_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f585,f1580,f1514,f1606,f1610]) ).
fof(f1616,plain,
( sQ0_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f587,f1594,f596]) ).
fof(f1618,plain,
( ~ sQ0_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f589,f1594,f596]) ).
fof(f1620,definition,
( sQ236_spl
<=> op(e0,e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1622,plain,
( sQ236_spl
| op(e0,e0) != op(e0,e0) ),
inference(component_clause,[status(thm)],[f1620]) ).
fof(f1623,plain,
( ~ sQ236_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f592,f1602,f1620]) ).
fof(f1630,plain,
e0 = op(e1,e4),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f1632,plain,
op(e4,e2) != e1,
inference(backward_demodulation,[status(thm)],[f206,f193]) ).
fof(f1636,plain,
op(e2,e4) != e1,
inference(backward_demodulation,[status(thm)],[f206,f143]) ).
fof(f1638,plain,
op(e0,e4) != e1,
inference(backward_demodulation,[status(thm)],[f206,f138]) ).
fof(f1639,plain,
e2 = op(op(e4,e1),e4),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f1640,plain,
e2 = op(e3,e4),
inference(backward_demodulation,[status(thm)],[f1648,f1639]) ).
fof(f1642,plain,
e3 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f1648,f189]) ).
fof(f1643,plain,
op(e4,e0) != e3,
inference(backward_demodulation,[status(thm)],[f1648,f185]) ).
fof(f1644,plain,
op(e3,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1648,f114]) ).
fof(f1646,plain,
op(e1,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1648,f111]) ).
fof(f1647,plain,
op(e0,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1648,f108]) ).
fof(f1648,plain,
e3 = op(e4,e1),
inference(forward_demodulation,[status(thm)],[f206,f208]) ).
fof(f1659,plain,
( ~ sQ74_spl
| op(e2,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f833,f168]) ).
fof(f1671,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f833,f830]) ).
fof(f1672,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1671,f204]) ).
fof(f1673,plain,
( ~ sQ73_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1677,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f673,f670]) ).
fof(f1678,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f204]) ).
fof(f1679,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1685,plain,
( ~ sQ118_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f974,f128]) ).
fof(f1695,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f913,f907]) ).
fof(f1696,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1695,f203]) ).
fof(f1697,plain,
( ~ sQ97_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1696]) ).
fof(f1704,plain,
( ~ sQ107_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1648,f939]) ).
fof(f1705,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1704,f202]) ).
fof(f1706,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f1705]) ).
fof(f1713,plain,
( ~ sQ106_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1648,f936]) ).
fof(f1714,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1713,f200]) ).
fof(f1715,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1714]) ).
fof(f1722,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f747,f741]) ).
fof(f1723,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f196]) ).
fof(f1724,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1725,plain,
( ~ sQ115_spl
| ~ sQ116_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f968,f965]) ).
fof(f1726,plain,
( ~ sQ115_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1725,f195]) ).
fof(f1727,plain,
( ~ sQ115_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f1726]) ).
fof(f1731,plain,
( ~ sQ105_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1648,f933]) ).
fof(f1732,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1731,f197]) ).
fof(f1733,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1744,plain,
( ~ sQ44_spl
| op(e1,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f737,f160]) ).
fof(f1749,plain,
( ~ sQ19_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f657,f150]) ).
fof(f1750,plain,
( ~ sQ19_spl
| op(e0,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f657,f147]) ).
fof(f1753,plain,
( ~ sQ89_spl
| op(e3,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f881,f179]) ).
fof(f1754,plain,
( ~ sQ89_spl
| op(e3,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f881,f176]) ).
fof(f1756,plain,
( ~ sQ89_spl
| op(e1,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f881,f120]) ).
fof(f1761,plain,
( ~ sQ84_spl
| op(e1,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f865,f110]) ).
fof(f1767,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f817,f814]) ).
fof(f1768,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1767,f204]) ).
fof(f1769,plain,
( ~ sQ68_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1768]) ).
fof(f1770,plain,
( ~ sQ43_spl
| ~ sQ44_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f737,f734]) ).
fof(f1771,plain,
( ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1770,f204]) ).
fof(f1772,plain,
( ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1771]) ).
fof(f1773,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f657,f654]) ).
fof(f1774,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1773,f204]) ).
fof(f1775,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f1785,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f651,f648]) ).
fof(f1786,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1785,f199]) ).
fof(f1787,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1786]) ).
fof(f1788,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f808,f805]) ).
fof(f1789,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1788,f195]) ).
fof(f1790,plain,
( ~ sQ65_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1812,plain,
( ~ sQ59_spl
| op(e1,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f785,f109]) ).
fof(f1829,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f635,f632]) ).
fof(f1830,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1829,f199]) ).
fof(f1831,plain,
( ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1835,plain,
( ~ sQ55_spl
| ~ sQ56_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f776,f773]) ).
fof(f1836,plain,
( ~ sQ55_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1835,f195]) ).
fof(f1837,plain,
( ~ sQ55_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1836]) ).
fof(f1845,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f625,f622]) ).
fof(f1846,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1845,f204]) ).
fof(f1847,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1846]) ).
fof(f1848,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f689,f686]) ).
fof(f1849,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1848,f204]) ).
fof(f1850,plain,
( ~ sQ28_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1849]) ).
fof(f1851,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f619,f616]) ).
fof(f1852,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1851,f199]) ).
fof(f1853,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1857,plain,
( sQ213_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1494]) ).
fof(f1858,plain,
sQ213_spl,
inference(contradiction_clause,[status(thm)],[f1857]) ).
fof(f1859,plain,
( sQ187_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1356]) ).
fof(f1860,plain,
sQ187_spl,
inference(contradiction_clause,[status(thm)],[f1859]) ).
fof(f1861,plain,
( sQ160_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1215]) ).
fof(f1862,plain,
sQ160_spl,
inference(contradiction_clause,[status(thm)],[f1861]) ).
fof(f1863,plain,
( sQ132_spl
| e1 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f206,f1073]) ).
fof(f1864,plain,
( sQ132_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f206,f1863]) ).
fof(f1865,plain,
( sQ132_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1864]) ).
fof(f1866,plain,
sQ132_spl,
inference(contradiction_clause,[status(thm)],[f1865]) ).
fof(f1867,plain,
( sQ236_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1622]) ).
fof(f1868,plain,
sQ236_spl,
inference(contradiction_clause,[status(thm)],[f1867]) ).
fof(f1869,plain,
( ~ sQ129_spl
| op(e4,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1009,f43]) ).
fof(f1888,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f792,f795]) ).
fof(f1889,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1888,f199]) ).
fof(f1890,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1889]) ).
fof(f1894,plain,
( ~ sQ123_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f206,f990]) ).
fof(f1895,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1894,f200]) ).
fof(f1896,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f1895]) ).
fof(f1907,plain,
e0 != op(e2,e4),
inference(forward_demodulation,[status(thm)],[f1630,f139]) ).
fof(f1916,plain,
op(e0,e4) != e0,
inference(forward_demodulation,[status(thm)],[f1630,f135]) ).
fof(f1922,plain,
( ~ sQ124_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f206,f993]) ).
fof(f1923,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1922,f201]) ).
fof(f1924,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1923]) ).
fof(f1927,plain,
op(e3,e2) != e2,
inference(forward_demodulation,[status(thm)],[f1640,f183]) ).
fof(f1928,plain,
op(e3,e1) != e2,
inference(forward_demodulation,[status(thm)],[f1640,f181]) ).
fof(f1929,plain,
op(e3,e0) != e2,
inference(forward_demodulation,[status(thm)],[f1640,f178]) ).
fof(f1930,plain,
op(e2,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1640,f142]) ).
fof(f1933,plain,
op(e0,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1640,f137]) ).
fof(f1948,plain,
( ~ sQ109_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1648,f945]) ).
fof(f1949,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1948,f204]) ).
fof(f1950,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1949]) ).
fof(f1954,plain,
( ~ sQ104_spl
| e4 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f929,f186]) ).
fof(f1955,plain,
( ~ sQ104_spl
| ~ sQ114_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f961,f1954]) ).
fof(f1956,plain,
( ~ sQ104_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1955]) ).
fof(f1957,plain,
( ~ sQ104_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f1956]) ).
fof(f1960,plain,
( ~ sQ10_spl
| e0 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f629,f118]) ).
fof(f1965,plain,
( ~ sQ26_spl
| e1 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f680,f101]) ).
fof(f1981,plain,
( ~ sQ36_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f712,f162]) ).
fof(f1982,plain,
( ~ sQ36_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f728,f1981]) ).
fof(f1983,plain,
( ~ sQ36_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1982]) ).
fof(f1984,plain,
( ~ sQ36_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f1985,plain,
( ~ sQ31_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f696,f160]) ).
fof(f1988,plain,
( ~ sQ10_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f629,f152]) ).
fof(f1989,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f645,f1988]) ).
fof(f1990,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1989]) ).
fof(f1991,plain,
( ~ sQ10_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1990]) ).
fof(f1996,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f597,f147]) ).
fof(f1997,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f645,f1996]) ).
fof(f1998,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1997]) ).
fof(f1999,plain,
( ~ sQ0_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2003,plain,
( ~ sQ88_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f878,f176]) ).
fof(f2011,plain,
( ~ sQ26_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f680,f100]) ).
fof(f2012,plain,
( ~ sQ75_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f837,f97]) ).
fof(f2020,plain,
( ~ sQ31_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f696,f159]) ).
fof(f2021,plain,
( ~ sQ31_spl
| ~ sQ36_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f712,f2020]) ).
fof(f2022,plain,
( ~ sQ31_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2021]) ).
fof(f2023,plain,
( ~ sQ31_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2022]) ).
fof(f2024,plain,
( ~ sQ26_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f680,f156]) ).
fof(f2025,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f712,f2024]) ).
fof(f2026,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2025]) ).
fof(f2027,plain,
( ~ sQ26_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2026]) ).
fof(f2030,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f712,f718]) ).
fof(f2031,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f200]) ).
fof(f2032,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2031]) ).
fof(f2062,plain,
( ~ sQ122_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f206,f987]) ).
fof(f2063,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f199]) ).
fof(f2064,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2067,plain,
( ~ sQ25_spl
| ~ sQ28_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f686,f677]) ).
fof(f2068,plain,
( ~ sQ25_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2067,f197]) ).
fof(f2069,plain,
( ~ sQ25_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2073,plain,
( ~ sQ100_spl
| ~ sQ104_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f929,f917]) ).
fof(f2074,plain,
( ~ sQ100_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2073,f198]) ).
fof(f2075,plain,
( ~ sQ100_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f2074]) ).
fof(f2076,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f1907]) ).
fof(f2077,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f2076]) ).
fof(f2078,plain,
( ~ sQ95_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1640,f901]) ).
fof(f2079,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2078,f196]) ).
fof(f2080,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f2079]) ).
fof(f2082,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f977,f971]) ).
fof(f2083,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2082,f203]) ).
fof(f2084,plain,
( ~ sQ117_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f2083]) ).
fof(f2094,plain,
( sQ136_spl
| e2 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1640,f1093]) ).
fof(f2095,plain,
( sQ156_spl
| op(e2,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f1640,f1194]) ).
fof(f2096,plain,
( sQ156_spl
| ~ sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f830,f2095]) ).
fof(f2097,plain,
( sQ156_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2096]) ).
fof(f2098,plain,
( sQ156_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2097]) ).
fof(f2104,plain,
( ~ sQ133_spl
| op(e1,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f206,f1076]) ).
fof(f2105,plain,
( ~ sQ133_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1630,f2104]) ).
fof(f2106,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2105,f198]) ).
fof(f2107,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2106]) ).
fof(f2122,plain,
( ~ sQ222_spl
| ~ sQ23_spl
| op(e3,e4) = e0 ),
inference(forward_demodulation,[status(thm)],[f670,f1541]) ).
fof(f2123,plain,
( ~ sQ222_spl
| ~ sQ23_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1640,f2122]) ).
fof(f2124,plain,
( ~ sQ222_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2123,f196]) ).
fof(f2125,plain,
( ~ sQ222_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2124]) ).
fof(f2135,plain,
( ~ sQ191_spl
| ~ sQ35_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f709,f1377]) ).
fof(f2139,plain,
( ~ sQ169_spl
| ~ sQ80_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f853,f1261]) ).
fof(f2140,plain,
( ~ sQ202_spl
| op(e0,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f1630,f1432]) ).
fof(f2141,plain,
( ~ sQ201_spl
| op(e0,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f1630,f1428]) ).
fof(f2145,plain,
( ~ sQ146_spl
| e0 = op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f1630,f1142]) ).
fof(f2146,plain,
( ~ sQ146_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1648,f2145]) ).
fof(f2147,plain,
( ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2146,f197]) ).
fof(f2148,plain,
~ sQ146_spl,
inference(contradiction_clause,[status(thm)],[f2147]) ).
fof(f2154,plain,
( ~ sQ192_spl
| ~ sQ191_spl
| ~ sQ35_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f2135,f1381]) ).
fof(f2155,plain,
( ~ sQ192_spl
| ~ sQ191_spl
| ~ sQ35_spl
| ~ sQ202_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f2140,f2154]) ).
fof(f2156,plain,
( ~ sQ192_spl
| ~ sQ191_spl
| ~ sQ35_spl
| ~ sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2155,f203]) ).
fof(f2157,plain,
( ~ sQ192_spl
| ~ sQ191_spl
| ~ sQ35_spl
| ~ sQ202_spl ),
inference(contradiction_clause,[status(thm)],[f2156]) ).
fof(f2161,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f997,f43]) ).
fof(f2162,plain,
( ~ sQ125_spl
| ~ sQ102_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f923,f2161]) ).
fof(f2163,plain,
( ~ sQ125_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2162,f203]) ).
fof(f2164,plain,
( ~ sQ125_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2165,plain,
( ~ sQ125_spl
| op(e0,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f997,f42]) ).
fof(f2166,plain,
( ~ sQ125_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f997,f41]) ).
fof(f2167,plain,
( ~ sQ125_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f997,f40]) ).
fof(f2168,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f997,f39]) ).
fof(f2169,plain,
( ~ sQ125_spl
| ~ sQ50_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f757,f2168]) ).
fof(f2170,plain,
( ~ sQ125_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2169,f196]) ).
fof(f2171,plain,
( ~ sQ125_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2176,plain,
( ~ sQ128_spl
| op(e3,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1006,f38]) ).
fof(f2181,plain,
( ~ sQ46_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1630,f744]) ).
fof(f2182,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2181,f195]) ).
fof(f2183,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f2182]) ).
fof(f2189,plain,
( ~ sQ98_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1640,f910]) ).
fof(f2190,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2189,f202]) ).
fof(f2191,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f2190]) ).
fof(f2195,plain,
( ~ sQ183_spl
| ~ sQ68_spl
| op(e3,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f814,f1334]) ).
fof(f2212,plain,
( ~ sQ169_spl
| ~ sQ80_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f2139,f164]) ).
fof(f2213,plain,
( ~ sQ169_spl
| ~ sQ80_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1630,f2212]) ).
fof(f2214,plain,
( ~ sQ169_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2213]) ).
fof(f2215,plain,
( ~ sQ169_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2214]) ).
fof(f2228,plain,
( ~ sQ30_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f693,f161]) ).
fof(f2229,plain,
( ~ sQ30_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1630,f2228]) ).
fof(f2230,plain,
( ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2229]) ).
fof(f2231,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f2230]) ).
fof(f2233,plain,
( ~ sQ4_spl
| e4 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f609,f97]) ).
fof(f2234,plain,
( ~ sQ93_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f894,f177]) ).
fof(f2244,plain,
( ~ sQ68_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f814,f170]) ).
fof(f2247,plain,
( ~ sQ16_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f648,f150]) ).
fof(f2252,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f1646]) ).
fof(f2253,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2264,plain,
( ~ sQ100_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f917,f103]) ).
fof(f2278,plain,
( ~ sQ96_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1640,f904]) ).
fof(f2279,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2278,f199]) ).
fof(f2280,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f2279]) ).
fof(f2282,plain,
( ~ sQ117_spl
| sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f2094]) ).
fof(f2283,plain,
( ~ sQ117_spl
| sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f2282]) ).
fof(f2285,plain,
( ~ sQ74_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1659,f768,f832]) ).
fof(f2293,plain,
( ~ sQ71_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f824,f1636]) ).
fof(f2294,plain,
( ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2293]) ).
fof(f2295,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f2294]) ).
fof(f2301,plain,
( ~ sQ174_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f1286,f1929]) ).
fof(f2305,plain,
( ~ sQ174_spl
| op(e1,e0) != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1286,f100]) ).
fof(f2308,plain,
( ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f661,f1916]) ).
fof(f2309,plain,
( ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2308]) ).
fof(f2310,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f2309]) ).
fof(f2316,plain,
( sQ147_spl
| op(e3,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1648,f1147]) ).
fof(f2317,plain,
( sQ198_spl
| ~ sQ196_spl
| op(op(e0,e2),e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f1402,f1411]) ).
fof(f2321,plain,
( ~ sQ197_spl
| ~ sQ196_spl
| op(op(e0,e2),e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f1402,f1406]) ).
fof(f2322,plain,
( ~ sQ197_spl
| ~ sQ196_spl
| sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2321,f1590]) ).
fof(f2323,plain,
( ~ sQ197_spl
| ~ sQ196_spl
| sQ231_spl ),
inference(contradiction_clause,[status(thm)],[f2322]) ).
fof(f2324,plain,
( sQ202_spl
| op(e0,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1630,f1433]) ).
fof(f2335,plain,
( ~ sQ26_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2011,f839,f679]) ).
fof(f2344,plain,
( ~ sQ55_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f773,f112]) ).
fof(f2346,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f680,f677]) ).
fof(f2347,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2346,f195]) ).
fof(f2348,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2347]) ).
fof(f2354,plain,
( ~ sQ127_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1003,f38]) ).
fof(f2355,plain,
( ~ sQ127_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f1003,f37]) ).
fof(f2356,plain,
( ~ sQ127_spl
| op(e2,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1003,f36]) ).
fof(f2357,plain,
( ~ sQ127_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f1003,f35]) ).
fof(f2358,plain,
( ~ sQ127_spl
| op(e2,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f1003,f34]) ).
fof(f2361,plain,
( ~ sQ127_spl
| op(e2,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f1003,f42]) ).
fof(f2362,plain,
( ~ sQ127_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f1003,f41]) ).
fof(f2363,plain,
( ~ sQ127_spl
| op(e2,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1003,f40]) ).
fof(f2365,plain,
( ~ sQ129_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1869,f992,f1008]) ).
fof(f2370,plain,
( ~ sQ120_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f206,f981]) ).
fof(f2371,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2370,f195]) ).
fof(f2372,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f2371]) ).
fof(f2373,plain,
( ~ sQ32_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f699,f105]) ).
fof(f2377,plain,
( ~ sQ62_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f795,f166]) ).
fof(f2387,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f1638]) ).
fof(f2388,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f2387]) ).
fof(f2394,plain,
( ~ sQ62_spl
| e2 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f795,f123]) ).
fof(f2398,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f1928]) ).
fof(f2399,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2411,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f795,f798]) ).
fof(f2412,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2411,f202]) ).
fof(f2413,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2412]) ).
fof(f2435,plain,
( ~ sQ118_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1685,f653,f973]) ).
fof(f2446,plain,
( ~ sQ59_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1812,f704,f784]) ).
fof(f2467,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f603,f147]) ).
fof(f2472,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f603,f146]) ).
fof(f2475,plain,
( ~ sQ16_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2247,f615,f647]) ).
fof(f2484,plain,
( ~ sQ10_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1960,f948,f628]) ).
fof(f2486,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f616,f613]) ).
fof(f2487,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2486,f195]) ).
fof(f2488,plain,
( ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2487]) ).
fof(f2489,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f603,f597]) ).
fof(f2490,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2489,f196]) ).
fof(f2491,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2490]) ).
fof(f2492,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f1927]) ).
fof(f2493,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f2492]) ).
fof(f2496,plain,
( ~ sQ157_spl
| op(e2,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1640,f1197]) ).
fof(f2497,plain,
( ~ sQ157_spl
| ~ sQ65_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f805,f2496]) ).
fof(f2498,plain,
( ~ sQ157_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f198]) ).
fof(f2499,plain,
( ~ sQ157_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2498]) ).
fof(f2511,plain,
( ~ sQ27_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f683,f155]) ).
fof(f2512,plain,
( ~ sQ27_spl
| ~ sQ32_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f699,f2511]) ).
fof(f2513,plain,
( ~ sQ27_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2512]) ).
fof(f2514,plain,
( ~ sQ27_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2513]) ).
fof(f2522,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f920,f923]) ).
fof(f2523,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2522,f199]) ).
fof(f2524,plain,
( ~ sQ102_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2523]) ).
fof(f2536,plain,
( ~ sQ110_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f949,f124]) ).
fof(f2546,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f603,f609]) ).
fof(f2547,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f203]) ).
fof(f2548,plain,
( ~ sQ4_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2550,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f827,f1930]) ).
fof(f2551,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f2550]) ).
fof(f2552,plain,
( ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1630,f750]) ).
fof(f2553,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2552,f197]) ).
fof(f2554,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f2553]) ).
fof(f2556,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f1933]) ).
fof(f2557,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f2556]) ).
fof(f2560,plain,
( ~ sQ84_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1761,f704,f864]) ).
fof(f2562,plain,
( ~ sQ84_spl
| sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f865,f2316]) ).
fof(f2563,plain,
( ~ sQ84_spl
| sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2562]) ).
fof(f2564,plain,
( ~ sQ110_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f949,f123]) ).
fof(f2566,plain,
op(e3,e3) != e2,
inference(forward_demodulation,[status(thm)],[f1640,f184]) ).
fof(f2570,plain,
( ~ sQ19_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1749,f624,f656]) ).
fof(f2612,plain,
( ~ sQ31_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1985,f727,f695]) ).
fof(f2629,plain,
( ~ sQ89_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1753,f864,f880]) ).
fof(f2630,plain,
( ~ sQ89_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1754,f848,f880]) ).
fof(f2640,plain,
( sQ157_spl
| op(e2,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f1640,f1198]) ).
fof(f2671,plain,
( ~ sQ62_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2377,f762,f794]) ).
fof(f2678,plain,
( ~ sQ62_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2394,f954,f794]) ).
fof(f2684,plain,
( ~ sQ174_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2301,f650,f1285]) ).
fof(f2691,plain,
( ~ sQ128_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f2176,f874,f1005]) ).
fof(f2708,plain,
( ~ sQ3_spl
| e3 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f606,f148]) ).
fof(f2720,plain,
( sQ183_spl
| ~ sQ67_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f811,f1335]) ).
fof(f2723,plain,
( ~ sQ23_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f2708]) ).
fof(f2724,plain,
( ~ sQ23_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2723]) ).
fof(f2728,plain,
( ~ sQ49_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1630,f753]) ).
fof(f2729,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2728,f198]) ).
fof(f2730,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f2729]) ).
fof(f2734,plain,
( ~ sQ79_spl
| e4 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f849,f104]) ).
fof(f2746,plain,
( ~ sQ111_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f952,f1632]) ).
fof(f2747,plain,
( ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2746]) ).
fof(f2748,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2755,plain,
( ~ sQ93_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2234,f845,f893]) ).
fof(f2761,plain,
( sQ202_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2324,f624,f1431]) ).
fof(f2773,plain,
( sQ183_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2720,f810,f1333]) ).
fof(f2795,plain,
( ~ sQ235_spl
| ~ sQ9_spl
| op(e4,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f625,f1611]) ).
fof(f2816,plain,
( ~ sQ126_spl
| op(e4,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f1000,f43]) ).
fof(f2824,plain,
( ~ sQ75_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2012,f596,f836]) ).
fof(f2832,plain,
( ~ sQ75_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f837,f102]) ).
fof(f2846,plain,
( ~ sQ12_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f635,f115]) ).
fof(f2849,plain,
( ~ sQ12_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f635,f116]) ).
fof(f2872,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f600,f97]) ).
fof(f2878,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f600,f147]) ).
fof(f2895,plain,
( sQ138_spl
| ~ sQ115_spl
| op(e0,e4) != e3 ),
inference(backward_demodulation,[status(thm)],[f965,f1101]) ).
fof(f2902,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f625,f613]) ).
fof(f2903,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2902,f198]) ).
fof(f2904,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2903]) ).
fof(f2920,plain,
( sQ141_spl
| ~ sQ74_spl
| e4 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f833,f1118]) ).
fof(f2924,plain,
( ~ sQ235_spl
| ~ sQ9_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f2795,f919,f624,f1610]) ).
fof(f2934,plain,
( ~ sQ23_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f670,f153]) ).
fof(f2935,plain,
( ~ sQ115_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f965,f131]) ).
fof(f2948,plain,
( ~ sQ92_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f891,f2566]) ).
fof(f2949,plain,
( ~ sQ92_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2948]) ).
fof(f2950,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f2949]) ).
fof(f2978,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f629,f632]) ).
fof(f2979,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2978,f195]) ).
fof(f2980,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2981,plain,
( ~ sQ114_spl
| sQ141_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f961,f2920]) ).
fof(f2982,plain,
( ~ sQ114_spl
| sQ141_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2981]) ).
fof(f3002,plain,
( sQ174_spl
| ~ sQ78_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f846,f1287]) ).
fof(f3007,plain,
( ~ sQ78_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f846,f102]) ).
fof(f3010,plain,
( ~ sQ78_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f846,f97]) ).
fof(f3014,plain,
( ~ sQ53_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f3007]) ).
fof(f3015,plain,
( ~ sQ53_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f3014]) ).
fof(f3032,plain,
( ~ sQ56_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f776,f165]) ).
fof(f3043,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f958,f1642]) ).
fof(f3044,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f3043]) ).
fof(f3049,plain,
( ~ sQ62_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f795,f169]) ).
fof(f3070,plain,
( ~ sQ26_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1965,f919,f679]) ).
fof(f3112,plain,
( ~ sQ88_spl
| ~ sQ86_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f872,f878]) ).
fof(f3113,plain,
( ~ sQ88_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3112,f200]) ).
fof(f3114,plain,
( ~ sQ88_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f3113]) ).
fof(f3139,plain,
( ~ sQ136_spl
| e2 = op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1640,f1092]) ).
fof(f3151,plain,
( ~ sQ32_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2373,f618,f698]) ).
fof(f3153,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f997,f38]) ).
fof(f3155,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f997,f39]) ).
fof(f3156,plain,
( ~ sQ125_spl
| op(e0,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f997,f40]) ).
fof(f3158,plain,
( ~ sQ125_spl
| op(e0,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f997,f42]) ).
fof(f3159,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f997,f43]) ).
fof(f3160,plain,
( ~ sQ125_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f997,f34]) ).
fof(f3162,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f997,f36]) ).
fof(f3163,plain,
( ~ sQ125_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f997,f37]) ).
fof(f3168,plain,
( ~ sQ125_spl
| op(e2,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f2161,f103]) ).
fof(f3171,plain,
( ~ sQ125_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2165,f672,f996]) ).
fof(f3172,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f2166,f845,f996]) ).
fof(f3173,plain,
( ~ sQ125_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2167,f653,f996]) ).
fof(f3174,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f2168,f762,f996]) ).
fof(f3190,plain,
( ~ sQ110_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2536,f868,f948]) ).
fof(f3195,plain,
( ~ sQ110_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2564,f788,f948]) ).
fof(f3209,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f795,f789]) ).
fof(f3210,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3209,f196]) ).
fof(f3211,plain,
( ~ sQ60_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3210]) ).
fof(f3227,plain,
( ~ sQ23_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2934,f637,f669]) ).
fof(f3233,plain,
( ~ sQ56_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f776,f112]) ).
fof(f3236,plain,
( ~ sQ56_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f776,f106]) ).
fof(f3242,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f862,f1644]) ).
fof(f3243,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f3242]) ).
fof(f3245,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f1929]) ).
fof(f3246,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f3245]) ).
fof(f3256,plain,
( ~ sQ89_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1756,f720,f880]) ).
fof(f3264,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f699,f705]) ).
fof(f3265,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3264,f203]) ).
fof(f3266,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3265]) ).
fof(f3276,plain,
( ~ sQ19_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1750,f608,f656]) ).
fof(f3285,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f597,f609]) ).
fof(f3286,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3285,f198]) ).
fof(f3287,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3286]) ).
fof(f3288,plain,
( ~ sQ4_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2233,f848,f608]) ).
fof(f3303,plain,
( ~ sQ102_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f923,f101]) ).
fof(f3306,plain,
( ~ sQ12_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2846,f714,f634]) ).
fof(f3307,plain,
( ~ sQ12_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2849,f794,f634]) ).
fof(f3316,plain,
( sQ191_spl
| ~ sQ36_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f712,f1378]) ).
fof(f3329,plain,
( ~ sQ115_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2935,f724,f964]) ).
fof(f3333,plain,
( sQ138_spl
| ~ sQ115_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2895,f669,f964,f1099]) ).
fof(f3352,plain,
( ~ sQ85_spl
| ~ sQ88_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f878,f869]) ).
fof(f3353,plain,
( ~ sQ85_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3352,f197]) ).
fof(f3354,plain,
( ~ sQ85_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f3353]) ).
fof(f3357,plain,
( ~ sQ115_spl
| op(e3,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f965,f134]) ).
fof(f3370,plain,
( sQ165_spl
| ~ sQ88_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f878,f1241]) ).
fof(f3371,plain,
( sQ165_spl
| ~ sQ88_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f878,f3370]) ).
fof(f3372,plain,
( sQ165_spl
| ~ sQ88_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3371]) ).
fof(f3373,plain,
( sQ165_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f3372]) ).
fof(f3385,plain,
( ~ sQ126_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2816,f944,f999]) ).
fof(f3413,plain,
( ~ sQ156_spl
| op(e2,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1640,f1193]) ).
fof(f3415,plain,
( sQ169_spl
| ~ sQ147_spl
| op(e1,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f3423,f1262]) ).
fof(f3420,plain,
( ~ sQ147_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f3423,f112]) ).
fof(f3423,plain,
( ~ sQ147_spl
| op(e3,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f1648,f1146]) ).
fof(f3424,plain,
( ~ sQ2_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2467,f650,f602]) ).
fof(f3425,plain,
( ~ sQ2_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2472,f634,f602]) ).
fof(f3426,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f600,f603]) ).
fof(f3427,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3426,f199]) ).
fof(f3428,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3427]) ).
fof(f3450,plain,
( ~ sQ125_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f3153,f634,f996]) ).
fof(f3452,plain,
( ~ sQ125_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f3155,f165]) ).
fof(f3453,plain,
( sQ196_spl
| ~ sQ125_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f3155,f1403]) ).
fof(f3462,plain,
( ~ sQ125_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f3159,f928,f996]) ).
fof(f3463,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3160,f596,f996]) ).
fof(f3466,plain,
( sQ235_spl
| ~ sQ125_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f3162,f1612]) ).
fof(f3469,plain,
( ~ sQ125_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f3162,f106]) ).
fof(f3471,plain,
( ~ sQ125_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f3163,f679,f996]) ).
fof(f3474,plain,
( ~ sQ125_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f997,f37]) ).
fof(f3478,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(backward_demodulation,[status(thm)],[f997,f43]) ).
fof(f3484,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f997,f38]) ).
fof(f3486,plain,
( ~ sQ125_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3168,f768,f996]) ).
fof(f3500,plain,
( sQ151_spl
| ~ sQ125_spl
| e4 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f3158,f1168]) ).
fof(f3502,plain,
( sQ174_spl
| ~ sQ78_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3002,f653,f845,f1285]) ).
fof(f3515,plain,
( ~ sQ156_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f3413,f174]) ).
fof(f3535,plain,
( ~ sQ61_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f792,f122]) ).
fof(f3542,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f926,f1643]) ).
fof(f3543,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f3542]) ).
fof(f3571,plain,
( ~ sQ32_spl
| ~ sQ31_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f696,f699]) ).
fof(f3572,plain,
( ~ sQ32_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3571,f199]) ).
fof(f3573,plain,
( ~ sQ32_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f3572]) ).
fof(f3577,plain,
( ~ sQ44_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1744,f704,f736]) ).
fof(f3593,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f792,f801]) ).
fof(f3594,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3593,f201]) ).
fof(f3595,plain,
( ~ sQ64_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f3594]) ).
fof(f3603,plain,
( sQ196_spl
| ~ sQ125_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3453,f634,f996,f1401]) ).
fof(f3604,plain,
( sQ235_spl
| ~ sQ125_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3466,f679,f996,f1610]) ).
fof(f3616,plain,
( ~ sQ125_spl
| sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3478,f3500]) ).
fof(f3617,plain,
( ~ sQ125_spl
| sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f3616]) ).
fof(f3645,plain,
( ~ sQ125_spl
| e2 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f3484,f118]) ).
fof(f3646,plain,
( ~ sQ125_spl
| ~ sQ112_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f955,f3645]) ).
fof(f3647,plain,
( ~ sQ125_spl
| ~ sQ112_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3646]) ).
fof(f3648,plain,
( ~ sQ125_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f3647]) ).
fof(f3661,plain,
( ~ sQ78_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3010,f605,f845]) ).
fof(f3676,plain,
( ~ sQ61_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f3535,f871,f791]) ).
fof(f3687,plain,
( ~ sQ125_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f3162,f107]) ).
fof(f3689,plain,
( sQ197_spl
| ~ sQ125_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f3155,f1407]) ).
fof(f3690,plain,
( sQ197_spl
| ~ sQ125_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3155,f3689]) ).
fof(f3691,plain,
( sQ197_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3690]) ).
fof(f3692,plain,
( sQ197_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3691]) ).
fof(f3695,plain,
( ~ sQ81_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f3687]) ).
fof(f3696,plain,
( ~ sQ81_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3695]) ).
fof(f3713,plain,
( ~ sQ29_spl
| ~ sQ125_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f3474,f689]) ).
fof(f3714,plain,
( ~ sQ29_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3713,f201]) ).
fof(f3715,plain,
( ~ sQ29_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3714]) ).
fof(f3720,plain,
( ~ sQ55_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2344,f852,f772]) ).
fof(f3754,plain,
( ~ sQ136_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f3139,f131]) ).
fof(f3779,plain,
( sQ157_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2640,f816,f1196]) ).
fof(f3782,plain,
( sQ217_spl
| ~ sQ125_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f3162,f1516]) ).
fof(f3783,plain,
( sQ217_spl
| ~ sQ125_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f3474,f3782]) ).
fof(f3784,plain,
( sQ217_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3783]) ).
fof(f3785,plain,
( sQ217_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3784]) ).
fof(f3855,plain,
( ~ sQ142_spl
| ~ sQ110_spl
| op(e0,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f949,f1121]) ).
fof(f3856,plain,
( ~ sQ142_spl
| ~ sQ110_spl
| ~ sQ125_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f3484,f3855]) ).
fof(f3857,plain,
( ~ sQ142_spl
| ~ sQ110_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3856,f203]) ).
fof(f3858,plain,
( ~ sQ142_spl
| ~ sQ110_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3857]) ).
fof(f3860,plain,
( ~ sQ125_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3469,f775,f996]) ).
fof(f3923,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3236,f615,f775]) ).
fof(f3924,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f785,f776]) ).
fof(f3925,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3924,f201]) ).
fof(f3926,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3925]) ).
fof(f3931,plain,
( ~ sQ165_spl
| ~ sQ89_spl
| op(e4,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f881,f1240]) ).
fof(f3932,plain,
( ~ sQ165_spl
| ~ sQ89_spl
| ~ sQ110_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f949,f3931]) ).
fof(f3933,plain,
( ~ sQ165_spl
| ~ sQ89_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3932,f197]) ).
fof(f3934,plain,
( ~ sQ165_spl
| ~ sQ89_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3933]) ).
fof(f3935,plain,
( ~ sQ209_spl
| ~ sQ38_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f718,f1472]) ).
fof(f3936,plain,
( ~ sQ209_spl
| ~ sQ38_spl
| ~ sQ89_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f881,f3935]) ).
fof(f3937,plain,
( ~ sQ209_spl
| ~ sQ38_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3936,f201]) ).
fof(f3938,plain,
( ~ sQ209_spl
| ~ sQ38_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3937]) ).
fof(f3946,plain,
( ~ sQ79_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2734,f928,f848]) ).
fof(f3950,plain,
( ~ sQ14_spl
| ~ sQ125_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f3484,f641]) ).
fof(f3951,plain,
( ~ sQ14_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3950,f203]) ).
fof(f3952,plain,
( ~ sQ14_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3951]) ).
fof(f3965,plain,
( ~ sQ147_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3420,f784,f1145]) ).
fof(f3966,plain,
( ~ sQ147_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f3423,f864,f1145]) ).
fof(f3967,plain,
( sQ169_spl
| ~ sQ147_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3415,f736,f1145,f1260]) ).
fof(f3974,plain,
( ~ sQ205_spl
| ~ sQ44_spl
| op(e4,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f737,f1450]) ).
fof(f3975,plain,
( ~ sQ205_spl
| ~ sQ44_spl
| ~ sQ136_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f3139,f3974]) ).
fof(f3976,plain,
( ~ sQ205_spl
| ~ sQ44_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3975,f199]) ).
fof(f3977,plain,
( ~ sQ205_spl
| ~ sQ44_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f3976]) ).
fof(f3978,plain,
( ~ sQ201_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2141,f663,f1427]) ).
fof(f3979,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| op(e4,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f785,f1381]) ).
fof(f3980,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1648,f3979]) ).
fof(f3981,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3980,f202]) ).
fof(f3982,plain,
( ~ sQ192_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3981]) ).
fof(f3983,plain,
( ~ sQ183_spl
| ~ sQ65_spl
| op(e0,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f805,f1334]) ).
fof(f3984,plain,
( ~ sQ183_spl
| ~ sQ65_spl
| ~ sQ125_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f3156,f3983]) ).
fof(f3985,plain,
( ~ sQ183_spl
| ~ sQ65_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3984,f202]) ).
fof(f3986,plain,
( ~ sQ183_spl
| ~ sQ65_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3985]) ).
fof(f3988,plain,
( sQ180_spl
| ~ sQ156_spl
| op(e3,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f3413,f1317]) ).
fof(f3989,plain,
( sQ180_spl
| ~ sQ156_spl
| ~ sQ89_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f881,f3988]) ).
fof(f3990,plain,
( sQ180_spl
| ~ sQ156_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3989]) ).
fof(f3991,plain,
( sQ180_spl
| ~ sQ156_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3990]) ).
fof(f3993,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f853,f1265]) ).
fof(f3994,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| ~ sQ125_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f3162,f3993]) ).
fof(f3995,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3994,f200]) ).
fof(f3996,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3995]) ).
fof(f3999,plain,
( ~ sQ125_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3452,f778,f996]) ).
fof(f4000,plain,
( ~ sQ136_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3754,f730,f1091]) ).
fof(f4072,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f760,f763]) ).
fof(f4073,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4072,f199]) ).
fof(f4074,plain,
( ~ sQ52_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4073]) ).
fof(f4101,plain,
( ~ sQ79_spl
| e4 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f849,f177]) ).
fof(f4175,plain,
( ~ sQ75_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2832,f756,f836]) ).
fof(f4179,plain,
( ~ sQ127_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f2354,f794,f1002]) ).
fof(f4186,plain,
( ~ sQ127_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2356,f775,f1002]) ).
fof(f4187,plain,
( ~ sQ127_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f2357,f628,f1002]) ).
fof(f4189,plain,
( ~ sQ127_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2361,f832,f1002]) ).
fof(f4190,plain,
( ~ sQ127_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2362,f877,f1002]) ).
fof(f4191,plain,
( ~ sQ127_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f2363,f813,f1002]) ).
fof(f4197,plain,
( ~ sQ127_spl
| op(e2,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f1003,f40]) ).
fof(f4198,plain,
( ~ sQ127_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f1003,f41]) ).
fof(f4200,plain,
( ~ sQ127_spl
| op(e4,e2) = e4 ),
inference(backward_demodulation,[status(thm)],[f1003,f43]) ).
fof(f4202,plain,
( ~ sQ127_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f1003,f35]) ).
fof(f4203,plain,
( ~ sQ127_spl
| op(e2,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f1003,f36]) ).
fof(f4263,plain,
( sQ191_spl
| ~ sQ36_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3316,f775,f711,f1376]) ).
fof(f4271,plain,
( ~ sQ28_spl
| ~ sQ217_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f1515,f686]) ).
fof(f4272,plain,
( ~ sQ28_spl
| ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4271,f1647]) ).
fof(f4273,plain,
( ~ sQ28_spl
| ~ sQ217_spl ),
inference(contradiction_clause,[status(thm)],[f4272]) ).
fof(f4301,plain,
( ~ sQ79_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f4101,f896,f848]) ).
fof(f4304,plain,
( ~ sQ127_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f4197,f129]) ).
fof(f4314,plain,
( ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3049,f778,f794]) ).
fof(f4321,plain,
( sQ174_spl
| ~ sQ79_spl
| op(e0,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f849,f1287]) ).
fof(f4323,plain,
( ~ sQ127_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f4197,f126]) ).
fof(f4326,plain,
( ~ sQ102_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3303,f682,f922]) ).
fof(f4348,plain,
( ~ sQ127_spl
| e4 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f4200,f192]) ).
fof(f4353,plain,
( sQ142_spl
| ~ sQ127_spl
| op(e4,e2) != e4 ),
inference(forward_demodulation,[status(thm)],[f4200,f1122]) ).
fof(f4354,plain,
( sQ142_spl
| ~ sQ127_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f4200,f4353]) ).
fof(f4355,plain,
( sQ142_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4354]) ).
fof(f4356,plain,
( sQ142_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4355]) ).
fof(f4370,plain,
( ~ sQ34_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f705,f105]) ).
fof(f4411,plain,
( ~ sQ115_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3357,f884,f964]) ).
fof(f4421,plain,
( ~ sQ1_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2872,f839,f599]) ).
fof(f4425,plain,
( ~ sQ1_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2878,f647,f599]) ).
fof(f4430,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f849,f840]) ).
fof(f4431,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4430,f201]) ).
fof(f4432,plain,
( ~ sQ76_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f4431]) ).
fof(f4437,plain,
( ~ sQ56_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3032,f759,f775]) ).
fof(f4438,plain,
( ~ sQ56_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f3233,f855,f775]) ).
fof(f4447,plain,
( ~ sQ68_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2244,f781,f813]) ).
fof(f4448,plain,
( ~ sQ183_spl
| ~ sQ68_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f2195,f890,f813,f1333]) ).
fof(f4452,plain,
( ~ sQ42_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f731,f125]) ).
fof(f4475,plain,
( sQ209_spl
| ~ sQ127_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f2355,f1473]) ).
fof(f4476,plain,
( sQ209_spl
| ~ sQ127_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f2355,f4475]) ).
fof(f4477,plain,
( sQ209_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4476]) ).
fof(f4478,plain,
( sQ209_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4477]) ).
fof(f4483,plain,
( sQ164_spl
| ~ sQ127_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f4197,f1237]) ).
fof(f4484,plain,
( sQ164_spl
| ~ sQ127_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f4198,f4483]) ).
fof(f4485,plain,
( sQ164_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4484]) ).
fof(f4486,plain,
( sQ164_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4485]) ).
fof(f4533,plain,
( ~ sQ34_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4370,f624,f704]) ).
fof(f4543,plain,
( sQ198_spl
| ~ sQ196_spl
| ~ sQ127_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f4202,f2317]) ).
fof(f4544,plain,
( sQ198_spl
| ~ sQ196_spl
| ~ sQ127_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f4202,f4543]) ).
fof(f4545,plain,
( sQ198_spl
| ~ sQ196_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4544]) ).
fof(f4546,plain,
( sQ198_spl
| ~ sQ196_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4545]) ).
fof(f4563,plain,
( ~ sQ37_spl
| ~ sQ127_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f2355,f715]) ).
fof(f4564,plain,
( ~ sQ37_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4563,f199]) ).
fof(f4565,plain,
( ~ sQ37_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4564]) ).
fof(f4582,plain,
( sQ174_spl
| ~ sQ79_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f4321,f656,f848,f1285]) ).
fof(f4601,plain,
( ~ sQ235_spl
| ~ sQ7_spl
| op(e2,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f619,f1611]) ).
fof(f4602,plain,
( ~ sQ235_spl
| ~ sQ7_spl
| ~ sQ127_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f2358,f4601]) ).
fof(f4603,plain,
( ~ sQ235_spl
| ~ sQ7_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4602,f195]) ).
fof(f4604,plain,
( ~ sQ235_spl
| ~ sQ7_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4603]) ).
fof(f4615,plain,
( sQ196_spl
| ~ sQ127_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f4202,f1403]) ).
fof(f4616,plain,
( sQ196_spl
| ~ sQ127_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f2358,f4615]) ).
fof(f4617,plain,
( sQ196_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4616]) ).
fof(f4618,plain,
( sQ196_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4617]) ).
fof(f4628,plain,
( ~ sQ53_spl
| ~ sQ127_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f2358,f766]) ).
fof(f4629,plain,
( ~ sQ53_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4628,f197]) ).
fof(f4630,plain,
( ~ sQ53_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4629]) ).
fof(f4703,plain,
( ~ sQ234_spl
| ~ sQ7_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f619,f1607]) ).
fof(f4704,plain,
( ~ sQ234_spl
| ~ sQ7_spl
| ~ sQ127_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f4203,f4703]) ).
fof(f4705,plain,
( ~ sQ234_spl
| ~ sQ7_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4704,f195]) ).
fof(f4706,plain,
( ~ sQ234_spl
| ~ sQ7_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4705]) ).
fof(f4716,plain,
( ~ sQ152_spl
| ~ sQ102_spl
| op(e2,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f923,f1171]) ).
fof(f4717,plain,
( ~ sQ152_spl
| ~ sQ102_spl
| ~ sQ127_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f2358,f4716]) ).
fof(f4718,plain,
( ~ sQ152_spl
| ~ sQ102_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4717,f198]) ).
fof(f4719,plain,
( ~ sQ152_spl
| ~ sQ102_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4718]) ).
fof(f4722,plain,
( sQ218_spl
| ~ sQ28_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f686,f1520]) ).
fof(f4724,plain,
( ~ sQ42_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4452,f650,f730]) ).
fof(f4730,plain,
( ~ sQ127_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4348,f976,f1002]) ).
fof(f4736,plain,
( ~ sQ14_spl
| ~ sQ127_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f4202,f641]) ).
fof(f4737,plain,
( ~ sQ14_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4736,f198]) ).
fof(f4738,plain,
( ~ sQ14_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4737]) ).
fof(f4751,plain,
( ~ sQ138_spl
| ~ sQ136_spl
| op(e2,e4) = e3 ),
inference(backward_demodulation,[status(thm)],[f3139,f1100]) ).
fof(f4765,plain,
( ~ sQ174_spl
| ~ sQ28_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f686,f2305]) ).
fof(f4770,plain,
( ~ sQ100_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2264,f756,f916]) ).
fof(f4805,plain,
( ~ sQ156_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f3413,f829,f1192]) ).
fof(f4807,plain,
( ~ sQ156_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3515,f813,f1192]) ).
fof(f4811,plain,
( sQ218_spl
| ~ sQ28_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4722,f839,f685,f1518]) ).
fof(f4834,plain,
( ~ sQ127_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4323,f653,f1002]) ).
fof(f4840,plain,
( ~ sQ174_spl
| ~ sQ28_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4765,f653,f685,f1285]) ).
fof(f4881,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f3993,f621,f852,f1264]) ).
fof(f4882,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f853,f1265]) ).
fof(f4883,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| ~ sQ7_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f619,f4882]) ).
fof(f4884,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4883,f202]) ).
fof(f4885,plain,
( ~ sQ170_spl
| ~ sQ80_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4884]) ).
fof(f4892,plain,
( ~ sQ218_spl
| ~ sQ28_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f686,f1519]) ).
fof(f4900,plain,
( sQ174_spl
| ~ sQ16_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f648,f1287]) ).
fof(f4901,plain,
( sQ174_spl
| ~ sQ16_spl
| ~ sQ218_spl
| ~ sQ28_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f4892,f4900]) ).
fof(f4902,plain,
( sQ174_spl
| ~ sQ16_spl
| ~ sQ218_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4901]) ).
fof(f4903,plain,
( sQ174_spl
| ~ sQ16_spl
| ~ sQ218_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4902]) ).
fof(f4910,plain,
( ~ sQ205_spl
| ~ sQ42_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f731,f1450]) ).
fof(f4911,plain,
( ~ sQ205_spl
| ~ sQ42_spl
| ~ sQ127_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f4197,f4910]) ).
fof(f4912,plain,
( ~ sQ205_spl
| ~ sQ42_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4911,f200]) ).
fof(f4913,plain,
( ~ sQ205_spl
| ~ sQ42_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4912]) ).
fof(f4914,plain,
( sQ219_spl
| ~ sQ28_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f686,f1524]) ).
fof(f4915,plain,
( sQ219_spl
| ~ sQ28_spl
| ~ sQ80_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f853,f4914]) ).
fof(f4916,plain,
( sQ219_spl
| ~ sQ28_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4915]) ).
fof(f4917,plain,
( sQ219_spl
| ~ sQ28_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4916]) ).
fof(f4925,plain,
( ~ sQ88_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2003,f845,f877]) ).
fof(f4932,plain,
( ~ sQ127_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f4304,f733,f1002]) ).
fof(f4951,plain,
( ~ sQ138_spl
| ~ sQ136_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f4751,f829,f1091,f1099]) ).
fof(f4952,plain,
( ~ sQ136_spl
| ~ sQ115_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f965,f3139]) ).
fof(f4953,plain,
( ~ sQ136_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4952,f196]) ).
fof(f4954,plain,
( ~ sQ136_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f4953]) ).
fof(f4955,plain,
$false,
inference(sat_refutation,[status(thm)],[f659,f707,f739,f771,f851,f867,f883,f947,f963,f995,f1011,f1014,f1015,f1016,f1019,f1020,f1021,f1025,f1026,f1027,f1028,f1030,f1031,f1032,f1034,f1035,f1040,f1042,f1044,f1047,f1052,f1053,f1056,f1057,f1059,f1065,f1074,f1083,f1094,f1102,f1108,f1119,f1123,f1134,f1148,f1158,f1169,f1173,f1178,f1184,f1191,f1195,f1200,f1205,f1207,f1216,f1222,f1227,f1238,f1242,f1247,f1253,f1267,f1272,f1277,f1278,f1288,f1292,f1296,f1297,f1303,f1310,f1318,f1319,f1324,f1325,f1332,f1336,f1341,f1346,f1348,f1357,f1363,f1368,f1369,f1379,f1383,f1388,f1393,f1404,f1413,f1418,f1430,f1435,f1440,f1452,f1456,f1457,f1462,f1463,f1466,f1470,f1474,f1479,f1484,f1486,f1495,f1501,f1506,f1517,f1525,f1526,f1531,f1532,f1539,f1543,f1548,f1553,f1561,f1565,f1569,f1570,f1571,f1575,f1576,f1583,f1592,f1598,f1609,f1613,f1615,f1616,f1618,f1623,f1673,f1679,f1697,f1706,f1715,f1724,f1727,f1733,f1769,f1772,f1775,f1787,f1790,f1831,f1837,f1847,f1850,f1853,f1858,f1860,f1862,f1866,f1868,f1890,f1896,f1924,f1950,f1957,f1984,f1991,f1999,f2023,f2027,f2032,f2064,f2069,f2075,f2077,f2080,f2084,f2098,f2107,f2125,f2148,f2157,f2164,f2171,f2183,f2191,f2215,f2231,f2253,f2280,f2283,f2285,f2295,f2310,f2323,f2335,f2348,f2365,f2372,f2388,f2399,f2413,f2435,f2446,f2475,f2484,f2488,f2491,f2493,f2499,f2514,f2524,f2548,f2551,f2554,f2557,f2560,f2563,f2570,f2612,f2629,f2630,f2671,f2678,f2684,f2691,f2724,f2730,f2748,f2755,f2761,f2773,f2824,f2904,f2924,f2950,f2980,f2982,f3015,f3044,f3070,f3114,f3151,f3171,f3172,f3173,f3174,f3190,f3195,f3211,f3227,f3243,f3246,f3256,f3266,f3276,f3287,f3288,f3306,f3307,f3329,f3333,f3354,f3373,f3385,f3424,f3425,f3428,f3450,f3462,f3463,f3471,f3486,f3502,f3543,f3573,f3577,f3595,f3603,f3604,f3617,f3648,f3661,f3676,f3692,f3696,f3715,f3720,f3779,f3785,f3858,f3860,f3923,f3926,f3934,f3938,f3946,f3952,f3965,f3966,f3967,f3977,f3978,f3982,f3986,f3991,f3996,f3999,f4000,f4074,f4175,f4179,f4186,f4187,f4189,f4190,f4191,f4263,f4273,f4301,f4314,f4326,f4356,f4411,f4421,f4425,f4432,f4437,f4438,f4447,f4448,f4478,f4486,f4533,f4546,f4565,f4582,f4604,f4618,f4630,f4706,f4719,f4724,f4730,f4738,f4770,f4805,f4807,f4811,f4834,f4840,f4881,f4885,f4903,f4913,f4917,f4925,f4932,f4951,f4954]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG060+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n018.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 12:57:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.51 % Refutation found
% 0.13/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.54 % Elapsed time: 0.170100 seconds
% 0.13/0.54 % CPU time: 0.959883 seconds
% 0.13/0.54 % Total memory used: 135.382 MB
% 0.13/0.54 % Net memory used: 134.945 MB
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