%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG057+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 11:47:57 AM UTC 2026
% Result : Theorem 1.26s 0.69s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 268
% Syntax : Number of formulae : 1520 ( 152 unt; 261 def)
% Number of atoms : 5575 (3042 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 6840 (2785 ~;2568 |;1195 &)
% ( 292 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 263 ( 261 usr; 262 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/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,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
file('/export/starexec/sandbox/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,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(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(f16,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = 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(f20,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = 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(f32,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = 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(f50,plain,
( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f51,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
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(f55,plain,
( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f56,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
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(f62,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = 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(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(f72,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
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(f76,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
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(f91,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
op(e0,e1) != op(e2,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(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(f117,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f122,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f125,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op(e1,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(f136,plain,
op(e0,e4) != op(e2,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(f141,plain,
op(e1,e4) != op(e4,e4),
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(f151,plain,
op(e0,e1) != op(e0,e4),
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(f154,plain,
op(e0,e3) != 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(f157,plain,
op(e1,e0) != op(e1,e3),
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(f163,plain,
op(e1,e2) != op(e1,e4),
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(f167,plain,
op(e2,e0) != op(e2,e3),
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(f171,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f172,plain,
op(e2,e2) != 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(f175,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f176,plain,
op(e3,e0) != op(e3,e2),
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(f182,plain,
op(e3,e2) != op(e3,e3),
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(f187,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f188,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f189,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f190,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f191,plain,
op(e4,e1) != op(e4,e4),
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(f194,plain,
op(e4,e3) != 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(e2,e2),op(e2,e2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,definition,
( sP0_prd
<=> ( ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f210,definition,
( sP1_prd
<=> ( ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f211,definition,
( sP2_prd
<=> ( ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f212,definition,
( sP3_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f213,definition,
( sP4_prd
<=> ( ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f214,definition,
( sP5_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,[sP5_prd])],[]) ).
fof(f215,plain,
( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| sP5_prd )
& ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| sP4_prd )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| sP3_prd )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| sP2_prd )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| sP1_prd )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f8,f214,f213,f212,f211,f210,f209]) ).
fof(f217,plain,
( op(e0,op(e4,e0)) = e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f221,plain,
( op(e2,op(e4,e2)) = e4
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f222,plain,
( op(e4,op(e4,e3)) != e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f223,plain,
( op(e3,op(e4,e3)) = e4
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f224,plain,
( op(e4,op(e4,e4)) != e4
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f225,plain,
( op(e4,op(e4,e4)) = e4
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f226,plain,
( op(e4,e4) != op(e4,e4)
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f229,definition,
( sP6_prd
<=> ( ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f230,plain,
( sP0_prd
<=> ( ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f209,f229]) ).
fof(f231,plain,
( ( ( ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ~ sP6_prd )
| sP0_prd )
& ( ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| sP6_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( op(e3,op(e3,e0)) != e0
| sP6_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f243,definition,
( sP8_prd
<=> ( ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f244,plain,
( sP2_prd
<=> ( ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f211,f243]) ).
fof(f245,plain,
( ( ( ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& ~ sP8_prd )
| sP2_prd )
& ( ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| sP8_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
( op(e3,op(e3,e2)) != e2
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f250,definition,
( sP9_prd
<=> ( ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f251,plain,
( sP3_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f212,f250]) ).
fof(f252,plain,
( ( ( ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& ~ sP9_prd )
| sP3_prd )
& ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| sP9_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(e3,op(e3,e3)) != e3
| sP9_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e3,op(e3,e3)) = e3
| sP9_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sP9_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,definition,
( sP10_prd
<=> ( ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f258,plain,
( sP4_prd
<=> ( ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f213,f257]) ).
fof(f259,plain,
( ( ( ( op(e4,op(e3,e4)) != e3
| op(e3,op(e3,e4)) = e4 )
& ~ sP10_prd )
| sP4_prd )
& ( ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| sP10_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f258]) ).
fof(f260,plain,
( op(e3,op(e3,e4)) != e4
| sP10_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( op(e4,op(e3,e4)) = e3
| sP10_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f262,plain,
( ~ sP10_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f264,definition,
( sP11_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,[sP11_prd])],[]) ).
fof(f265,plain,
( sP5_prd
<=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f214,f264]) ).
fof(f266,plain,
( ( ( ( op(op(e4,e3),e4) = e3
| op(op(e4,e3),e3) != e4
| op(e3,e4) = op(e4,e3) )
& ~ sP11_prd )
| sP5_prd )
& ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| sP11_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( op(e3,e4) != op(e4,e3)
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f268,plain,
( op(op(e4,e3),e3) = e4
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f272,definition,
( sP12_prd
<=> ( ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f273,plain,
( sP6_prd
<=> ( ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f229,f272]) ).
fof(f274,plain,
( ( ( ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ~ sP12_prd )
| sP6_prd )
& ( ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| sP12_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f273]) ).
fof(f276,plain,
( op(e0,op(e2,e0)) = e2
| sP12_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f286,definition,
( sP14_prd
<=> ( ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f287,plain,
( sP8_prd
<=> ( ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f243,f286]) ).
fof(f288,plain,
( ( ( ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ~ sP14_prd )
| sP8_prd )
& ( ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| sP14_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
( op(e2,op(e2,e2)) != e2
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
( op(e2,op(e2,e2)) = e2
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f293,definition,
( sP15_prd
<=> ( ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f294,plain,
( sP9_prd
<=> ( ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f293]) ).
fof(f295,plain,
( ( ( ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& ~ sP15_prd )
| sP9_prd )
& ( ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| sP15_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f296,plain,
( op(e2,op(e2,e3)) != e3
| sP15_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f295]) ).
fof(f297,plain,
( op(e3,op(e2,e3)) = e2
| sP15_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f295]) ).
fof(f299,plain,
( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f295]) ).
fof(f300,definition,
( sP16_prd
<=> ( ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f301,plain,
( sP10_prd
<=> ( ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f257,f300]) ).
fof(f302,plain,
( ( ( ( op(e4,op(e2,e4)) != e2
| op(e2,op(e2,e4)) = e4 )
& ~ sP16_prd )
| sP10_prd )
& ( ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| sP16_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( op(e2,op(e2,e4)) != e4
| sP16_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f304,plain,
( op(e4,op(e2,e4)) = e2
| sP16_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f305,plain,
( ~ sP16_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f306,plain,
( op(e4,op(e2,e4)) != e2
| op(e2,op(e2,e4)) = e4
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f307,definition,
( sP17_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,[sP17_prd])],[]) ).
fof(f308,plain,
( sP11_prd
<=> ( ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f264,f307]) ).
fof(f309,plain,
( ( ( ( op(op(e4,e2),e4) = e2
| op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2) )
& ~ sP17_prd )
| sP11_prd )
& ( ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| sP17_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(e2,e4) != op(e4,e2)
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f311,plain,
( op(op(e4,e2),e2) = e4
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f313,plain,
( ~ sP17_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f315,plain,
( ( ( ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) )
| sP12_prd )
& ( ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f272]) ).
fof(f316,plain,
( op(e1,op(e1,e0)) != e0
| op(e0,op(e0,e0)) != e0
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f318,plain,
( op(e1,op(e1,e0)) != e0
| op(e0,op(e0,e0)) = e0
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f329,plain,
( ( ( ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) )
| sP14_prd )
& ( ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f286]) ).
fof(f330,plain,
( op(e1,op(e1,e2)) != e2
| op(e0,op(e0,e2)) != e2
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( op(e2,op(e1,e2)) = e1
| op(e0,op(e0,e2)) != e2
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f336,plain,
( ( ( ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) )
| sP15_prd )
& ( ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f340,plain,
( op(e3,op(e1,e3)) = e1
| op(e3,op(e0,e3)) = e0
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f343,plain,
( ( ( ( op(e4,op(e1,e4)) != e1
| op(e1,op(e1,e4)) = e4 )
& ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4 ) )
| sP16_prd )
& ( ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f345,plain,
( op(e4,op(e1,e4)) = e1
| op(e0,op(e0,e4)) != e4
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f346,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,op(e0,e4)) = e0
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f348,plain,
( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f350,definition,
( sP18_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,[sP18_prd])],[]) ).
fof(f351,plain,
( sP17_prd
<=> ( ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f307,f350]) ).
fof(f352,plain,
( ( ( ( op(op(e4,e1),e4) = e1
| op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1) )
& ~ sP18_prd )
| sP17_prd )
& ( ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| sP18_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( op(e1,e4) != op(e4,e1)
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f354,plain,
( op(op(e4,e1),e1) = e4
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f356,plain,
( ~ sP18_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f358,definition,
( sP19_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,[sP19_prd])],[]) ).
fof(f359,plain,
( sP18_prd
<=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f350,f358]) ).
fof(f360,plain,
( ( ( ( op(op(e4,e0),e4) = e0
| op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0) )
& ~ sP19_prd )
| sP18_prd )
& ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| sP19_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f359]) ).
fof(f361,plain,
( op(e0,e4) != op(e4,e0)
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f362,plain,
( op(op(e4,e0),e0) = e4
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f363,plain,
( op(op(e4,e0),e4) != e0
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f364,plain,
( ~ sP19_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f366,definition,
( sP20_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,[sP20_prd])],[]) ).
fof(f367,plain,
( sP19_prd
<=> ( ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f358,f366]) ).
fof(f368,plain,
( ( ( ( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4) )
& ~ sP20_prd )
| sP19_prd )
& ( ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| sP20_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f367]) ).
fof(f370,plain,
( op(op(e3,e4),e4) = e3
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f372,plain,
( ~ sP20_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,definition,
( sP21_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,[sP21_prd])],[]) ).
fof(f375,plain,
( sP20_prd
<=> ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f366,f374]) ).
fof(f376,plain,
( ( ( ( op(op(e3,e3),e3) = e3
| op(op(e3,e3),e3) != e3
| op(e3,e3) = op(e3,e3) )
& ~ sP21_prd )
| sP20_prd )
& ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| sP21_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f375]) ).
fof(f377,plain,
( op(e3,e3) != op(e3,e3)
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f380,plain,
( ~ sP21_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f382,definition,
( sP22_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,[sP22_prd])],[]) ).
fof(f383,plain,
( sP21_prd
<=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f374,f382]) ).
fof(f384,plain,
( ( ( ( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2) )
& ~ sP22_prd )
| sP21_prd )
& ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| sP22_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e2,e3) != op(e3,e2)
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(op(e3,e2),e2) = e3
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(op(e3,e2),e3) != e2
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( ~ sP22_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,plain,
( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,definition,
( sP23_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,[sP23_prd])],[]) ).
fof(f391,plain,
( sP22_prd
<=> ( ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f390]) ).
fof(f392,plain,
( ( ( ( op(op(e3,e1),e3) = e1
| op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1) )
& ~ sP23_prd )
| sP22_prd )
& ( ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| sP23_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(e1,e3) != op(e3,e1)
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f394,plain,
( op(op(e3,e1),e1) = e3
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f395,plain,
( op(op(e3,e1),e3) != e1
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( ~ sP23_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,definition,
( sP24_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,[sP24_prd])],[]) ).
fof(f399,plain,
( sP23_prd
<=> ( ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f390,f398]) ).
fof(f400,plain,
( ( ( ( op(op(e3,e0),e3) = e0
| op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0) )
& ~ sP24_prd )
| sP23_prd )
& ( ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| sP24_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f399]) ).
fof(f401,plain,
( op(e0,e3) != op(e3,e0)
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f402,plain,
( op(op(e3,e0),e0) = e3
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f403,plain,
( op(op(e3,e0),e3) != e0
| sP24_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f404,plain,
( ~ sP24_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f406,definition,
( sP25_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,[sP25_prd])],[]) ).
fof(f407,plain,
( sP24_prd
<=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f398,f406]) ).
fof(f408,plain,
( ( ( ( op(op(e2,e4),e2) = e4
| op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4) )
& ~ sP25_prd )
| sP24_prd )
& ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| sP25_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f407]) ).
fof(f410,plain,
( op(op(e2,e4),e4) = e2
| sP25_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f412,plain,
( ~ sP25_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f414,definition,
( sP26_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,[sP26_prd])],[]) ).
fof(f415,plain,
( sP25_prd
<=> ( ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f406,f414]) ).
fof(f416,plain,
( ( ( ( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3) )
& ~ sP26_prd )
| sP25_prd )
& ( ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| sP26_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
( op(e3,e2) != op(e2,e3)
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f419,plain,
( op(op(e2,e3),e2) != e3
| sP26_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f420,plain,
( ~ sP26_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f421,plain,
( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,definition,
( sP27_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,[sP27_prd])],[]) ).
fof(f423,plain,
( sP26_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f414,f422]) ).
fof(f424,plain,
( ( ( ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,e2) = op(e2,e2) )
& ~ sP27_prd )
| sP26_prd )
& ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| sP27_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f423]) ).
fof(f425,plain,
( op(e2,e2) != op(e2,e2)
| sP27_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f428,plain,
( ~ sP27_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f430,definition,
( sP28_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,[sP28_prd])],[]) ).
fof(f431,plain,
( sP27_prd
<=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f422,f430]) ).
fof(f432,plain,
( ( ( ( op(op(e2,e1),e2) = e1
| op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1) )
& ~ sP28_prd )
| sP27_prd )
& ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| sP28_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f431]) ).
fof(f433,plain,
( op(e1,e2) != op(e2,e1)
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f434,plain,
( op(op(e2,e1),e1) = e2
| sP28_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f436,plain,
( ~ sP28_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f438,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(f439,plain,
( sP28_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)],[f430,f438]) ).
fof(f440,plain,
( ( ( ( op(op(e2,e0),e2) = e0
| op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0) )
& ~ sP29_prd )
| sP28_prd )
& ( ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| sP29_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f439]) ).
fof(f441,plain,
( op(e0,e2) != op(e2,e0)
| sP29_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f444,plain,
( ~ sP29_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f446,definition,
( sP30_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,[sP30_prd])],[]) ).
fof(f447,plain,
( sP29_prd
<=> ( ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f438,f446]) ).
fof(f448,plain,
( ( ( ( op(op(e1,e4),e1) = e4
| op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4) )
& ~ sP30_prd )
| sP29_prd )
& ( ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| sP30_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f447]) ).
fof(f449,plain,
( op(e4,e1) != op(e1,e4)
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( op(op(e1,e4),e4) = e1
| sP30_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f452,plain,
( ~ sP30_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f454,definition,
( sP31_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,[sP31_prd])],[]) ).
fof(f455,plain,
( sP30_prd
<=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f446,f454]) ).
fof(f456,plain,
( ( ( ( op(op(e1,e3),e1) = e3
| op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3) )
& ~ sP31_prd )
| sP30_prd )
& ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| sP31_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f455]) ).
fof(f457,plain,
( op(e3,e1) != op(e1,e3)
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f458,plain,
( op(op(e1,e3),e3) = e1
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f459,plain,
( op(op(e1,e3),e1) != e3
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f460,plain,
( ~ sP31_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f461,plain,
( op(op(e1,e3),e1) = e3
| op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f462,definition,
( sP32_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,[sP32_prd])],[]) ).
fof(f463,plain,
( sP31_prd
<=> ( ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f454,f462]) ).
fof(f464,plain,
( ( ( ( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2) )
& ~ sP32_prd )
| sP31_prd )
& ( ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| sP32_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f463]) ).
fof(f465,plain,
( op(e2,e1) != op(e1,e2)
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f466,plain,
( op(op(e1,e2),e2) = e1
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f468,plain,
( ~ sP32_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f470,definition,
( sP33_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,[sP33_prd])],[]) ).
fof(f471,plain,
( sP32_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f462,f470]) ).
fof(f472,plain,
( ( ( ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,e1) = op(e1,e1) )
& ~ sP33_prd )
| sP32_prd )
& ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| sP33_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f471]) ).
fof(f473,plain,
( op(e1,e1) != op(e1,e1)
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f476,plain,
( ~ sP33_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f472]) ).
fof(f478,definition,
( sP34_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,[sP34_prd])],[]) ).
fof(f479,plain,
( sP33_prd
<=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f470,f478]) ).
fof(f480,plain,
( ( ( ( op(op(e1,e0),e1) = e0
| op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0) )
& ~ sP34_prd )
| sP33_prd )
& ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| sP34_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f479]) ).
fof(f481,plain,
( op(e0,e1) != op(e1,e0)
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f484,plain,
( ~ sP34_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f486,definition,
( sP35_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,[sP35_prd])],[]) ).
fof(f487,plain,
( sP34_prd
<=> ( ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f478,f486]) ).
fof(f488,plain,
( ( ( ( op(op(e0,e4),e0) = e4
| op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4) )
& ~ sP35_prd )
| sP34_prd )
& ( ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| sP35_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f487]) ).
fof(f489,plain,
( op(e4,e0) != op(e0,e4)
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op(op(e0,e4),e4) = e0
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f491,plain,
( op(op(e0,e4),e0) != e4
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f492,plain,
( ~ sP35_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f493,plain,
( op(op(e0,e4),e0) = e4
| op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f494,definition,
( sP36_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,[sP36_prd])],[]) ).
fof(f495,plain,
( sP35_prd
<=> ( ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f486,f494]) ).
fof(f496,plain,
( ( ( ( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3) )
& ~ sP36_prd )
| sP35_prd )
& ( ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| sP36_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f495]) ).
fof(f497,plain,
( op(e3,e0) != op(e0,e3)
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
( op(op(e0,e3),e3) = e0
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f499,plain,
( op(op(e0,e3),e0) != e3
| sP36_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f500,plain,
( ~ sP36_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f501,plain,
( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f502,definition,
( sP37_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,[sP37_prd])],[]) ).
fof(f503,plain,
( sP36_prd
<=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f494,f502]) ).
fof(f504,plain,
( ( ( ( op(op(e0,e2),e0) = e2
| op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2) )
& ~ sP37_prd )
| sP36_prd )
& ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| sP37_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f503]) ).
fof(f505,plain,
( op(e2,e0) != op(e0,e2)
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f507,plain,
( op(op(e0,e2),e0) != e2
| sP37_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f508,plain,
( ~ sP37_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f510,definition,
( sP38_prd
<=> ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f511,plain,
( sP37_prd
<=> ( ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f502,f510]) ).
fof(f512,plain,
( ( ( ( op(op(e0,e1),e0) = e1
| op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1) )
& ~ sP38_prd )
| sP37_prd )
& ( ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| sP38_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f511]) ).
fof(f513,plain,
( op(e1,e0) != op(e0,e1)
| sP38_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f512]) ).
fof(f518,plain,
( ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,e0) = op(e0,e0)
| sP38_prd )
& ( ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) )
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f510]) ).
fof(f519,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f523,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f529,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f532,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ4_spl
| op(e0,e0) = e4 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f539,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ5_spl
| op(e0,e1) != e0 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ7_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f558,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f571,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ16_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ17_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ17_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ18_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f12,f571,f574,f577,f580,f583]) ).
fof(f587,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f593,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ22_spl
| op(e0,e4) = e2 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ24_spl
| op(e0,e4) != e4 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f603,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ27_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ28_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f619,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f625,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f628,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f635,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ39_spl
| op(e1,e2) = e4 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f16,f635,f638,f641,f644,f647]) ).
fof(f651,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f657,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f660,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ43_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f17,f651,f654,f657,f660,f663]) ).
fof(f667,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f673,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f683,definition,
( sQ50_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ50_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ51_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ51_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ54_spl
| op(e2,e0) = e4 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f19,f683,f686,f689,f692,f695]) ).
fof(f699,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f710,plain,
( sQ58_spl
| op(e2,e1) != e3 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f20,f699,f702,f705,f708,f711]) ).
fof(f718,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f724,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ63_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f731,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ66_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ66_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f22,f731,f734,f737,f740,f743]) ).
fof(f750,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( sQ73_spl
| op(e2,e4) != e3 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ74_spl
| op(e2,e4) = e4 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f763,definition,
( sQ75_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ75_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ76_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ76_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ77_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ77_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f779,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f785,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f795,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f804,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ88_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f26,f795,f798,f801,f804,f807]) ).
fof(f811,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f823,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ94_spl
| op(e3,e3) = e4 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f827,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f832,plain,
( sQ96_spl
| op(e3,e4) != e1 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ98_spl
| op(e3,e4) = e3 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f843,definition,
( sQ100_spl
<=> op(e4,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ100_spl
| op(e4,e0) = e0 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f849,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ103_spl
<=> op(e4,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ103_spl
| op(e4,e0) = e3 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f859,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f865,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f868,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f875,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f878,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ111_spl
| op(e4,e2) = e1 ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f886,plain,
( sQ113_spl
| op(e4,e2) != e3 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f891,definition,
( sQ115_spl
<=> op(e4,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( ~ sQ115_spl
| op(e4,e3) = e0 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( sQ117_spl
| op(e4,e3) != e2 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ118_spl
| op(e4,e3) = e3 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f32,f891,f894,f897,f900,f903]) ).
fof(f907,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f909,plain,
( sQ120_spl
| op(e4,e4) != e0 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( ~ sQ121_spl
| op(e4,e4) = e1 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ122_spl
| op(e4,e4) = e2 ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f923,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ125_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ129_spl
| unit = e4 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f44,f923,f926,f929,f932,f935]) ).
fof(f944,plain,
( sQ102_spl
| sQ77_spl
| sQ52_spl
| sQ27_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f529,f609,f689,f769,f849]) ).
fof(f945,plain,
( sQ23_spl
| sQ18_spl
| sQ13_spl
| sQ8_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f51,f532,f548,f564,f580,f596]) ).
fof(f946,plain,
( sQ103_spl
| sQ78_spl
| sQ53_spl
| sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f532,f612,f692,f772,f852]) ).
fof(f947,plain,
( sQ24_spl
| sQ19_spl
| sQ14_spl
| sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f53,f535,f551,f567,f583,f599]) ).
fof(f948,plain,
( sQ104_spl
| sQ79_spl
| sQ54_spl
| sQ29_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f54,f535,f615,f695,f775,f855]) ).
fof(f949,plain,
( sQ45_spl
| sQ40_spl
| sQ35_spl
| sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f55,f603,f619,f635,f651,f667]) ).
fof(f950,plain,
( sQ105_spl
| sQ80_spl
| sQ55_spl
| sQ30_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f56,f539,f619,f699,f779,f859]) ).
fof(f954,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f60,f545,f625,f705,f785,f865]) ).
fof(f955,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f61,f612,f628,f644,f660,f676]) ).
fof(f956,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f62,f548,f628,f708,f788,f868]) ).
fof(f957,plain,
( sQ49_spl
| sQ44_spl
| sQ39_spl
| sQ34_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f63,f615,f631,f647,f663,f679]) ).
fof(f962,plain,
( sQ111_spl
| sQ86_spl
| sQ61_spl
| sQ36_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f68,f558,f638,f718,f798,f878]) ).
fof(f966,plain,
( sQ113_spl
| sQ88_spl
| sQ63_spl
| sQ38_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f72,f564,f644,f724,f804,f884]) ).
fof(f967,plain,
( sQ74_spl
| sQ69_spl
| sQ64_spl
| sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f73,f695,f711,f727,f743,f759]) ).
fof(f970,plain,
( sQ115_spl
| sQ90_spl
| sQ65_spl
| sQ40_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f76,f571,f651,f731,f811,f891]) ).
fof(f977,plain,
( sQ99_spl
| sQ94_spl
| sQ89_spl
| sQ84_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f83,f775,f791,f807,f823,f839]) ).
fof(f983,plain,
( sQ122_spl
| sQ117_spl
| sQ112_spl
| sQ107_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f89,f849,f865,f881,f897,f913]) ).
fof(f984,plain,
( sQ122_spl
| sQ97_spl
| sQ72_spl
| sQ47_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f90,f593,f673,f753,f833,f913]) ).
fof(f985,plain,
( sQ123_spl
| sQ118_spl
| sQ113_spl
| sQ108_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f91,f852,f868,f884,f900,f916]) ).
fof(f988,plain,
( sQ124_spl
| sQ99_spl
| sQ74_spl
| sQ49_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f94,f599,f679,f759,f839,f919]) ).
fof(f989,definition,
( sQ130_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f996,definition,
( sQ132_spl
<=> op(e0,op(e4,e0)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ132_spl
| op(e0,op(e4,e0)) = e4 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f217,f989,f996]) ).
fof(f1007,definition,
( sQ135_spl
<=> op(e1,op(e4,e1)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ135_spl
| op(e1,op(e4,e1)) = e4 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1009,plain,
( sQ135_spl
| op(e1,op(e4,e1)) != e4 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1011,definition,
( sQ136_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1018,definition,
( sQ138_spl
<=> op(e2,op(e4,e2)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ138_spl
| op(e2,op(e4,e2)) = e4 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( sQ138_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f221,f1011,f1018]) ).
fof(f1022,definition,
( sQ139_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1025,definition,
( sQ140_spl
<=> op(e4,op(e4,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( sQ140_spl
| op(e4,op(e4,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f222,f1022,f1025]) ).
fof(f1029,definition,
( sQ141_spl
<=> op(e3,op(e4,e3)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ141_spl
| op(e3,op(e4,e3)) = e4 ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( sQ141_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f223,f1022,f1029]) ).
fof(f1033,definition,
( sQ142_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1036,definition,
( sQ143_spl
<=> op(e4,op(e4,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ143_spl
| op(e4,op(e4,e4)) = e4 ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1038,plain,
( sQ143_spl
| op(e4,op(e4,e4)) != e4 ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,plain,
( ~ sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f224,f1033,f1036]) ).
fof(f1040,plain,
( sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f225,f1033,f1036]) ).
fof(f1041,definition,
( sQ144_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1044,definition,
( sQ145_spl
<=> op(e4,e4) = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( sQ145_spl
| op(e4,e4) != op(e4,e4) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,plain,
( ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f226,f1041,f1044]) ).
fof(f1048,definition,
( sQ146_spl
<=> op(op(e4,e4),e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( ~ sQ146_spl
| op(op(e4,e4),e4) = e4 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1050,plain,
( sQ146_spl
| op(op(e4,e4),e4) != e4 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1053,definition,
( sQ147_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1056,definition,
( sQ148_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ148_spl
| op(e3,op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
( sQ148_spl
| op(e3,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ148_spl
| sQ147_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f232,f989,f1053,f1056]) ).
fof(f1079,definition,
( sQ153_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1082,definition,
( sQ154_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ154_spl
| op(e3,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,plain,
( ~ sQ154_spl
| sQ153_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f246,f1011,f1079,f1082]) ).
fof(f1092,definition,
( sQ156_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1095,definition,
( sQ157_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( ~ sQ157_spl
| sQ156_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f253,f1022,f1092,f1095]) ).
fof(f1099,plain,
( sQ157_spl
| sQ156_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f254,f1022,f1092,f1095]) ).
fof(f1100,plain,
( ~ sQ156_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f255,f1022,f1092]) ).
fof(f1102,definition,
( sQ158_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1105,definition,
( sQ159_spl
<=> op(e3,op(e3,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ159_spl
| op(e3,op(e3,e4)) = e4 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1107,plain,
( sQ159_spl
| op(e3,op(e3,e4)) != e4 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( ~ sQ159_spl
| sQ158_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f260,f1033,f1102,f1105]) ).
fof(f1109,definition,
( sQ160_spl
<=> op(e4,op(e3,e4)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
( ~ sQ160_spl
| op(e4,op(e3,e4)) = e3 ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1111,plain,
( sQ160_spl
| op(e4,op(e3,e4)) != e3 ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( sQ160_spl
| sQ158_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f261,f1033,f1102,f1109]) ).
fof(f1113,plain,
( ~ sQ158_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f262,f1033,f1102]) ).
fof(f1115,definition,
( sQ161_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1118,definition,
( sQ162_spl
<=> op(e3,e4) = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( ~ sQ162_spl
| op(e3,e4) = op(e4,e3) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1120,plain,
( sQ162_spl
| op(e3,e4) != op(e4,e3) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,plain,
( ~ sQ162_spl
| sQ161_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f267,f1041,f1115,f1118]) ).
fof(f1122,definition,
( sQ163_spl
<=> op(op(e4,e3),e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ163_spl
| op(op(e4,e3),e3) = e4 ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,plain,
( sQ163_spl
| sQ161_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f268,f1041,f1115,f1122]) ).
fof(f1132,definition,
( sQ165_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1139,definition,
( sQ167_spl
<=> op(e0,op(e2,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ167_spl
| op(e0,op(e2,e0)) = e2 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( sQ167_spl
| sQ165_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f276,f1053,f1132,f1139]) ).
fof(f1152,definition,
( sQ170_spl
<=> op(e1,op(e2,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1153,plain,
( ~ sQ170_spl
| op(e1,op(e2,e1)) = e2 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( sQ170_spl
| op(e1,op(e2,e1)) != e2 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1158,definition,
( sQ171_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1161,definition,
( sQ172_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( ~ sQ172_spl
| sQ171_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f289,f1079,f1158,f1161]) ).
fof(f1165,plain,
( sQ172_spl
| sQ171_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f290,f1079,f1158,f1161]) ).
fof(f1168,definition,
( sQ173_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1171,definition,
( sQ174_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ174_spl
| op(e2,op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,plain,
( ~ sQ174_spl
| sQ173_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f296,f1092,f1168,f1171]) ).
fof(f1175,definition,
( sQ175_spl
<=> op(e3,op(e2,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( sQ175_spl
| sQ173_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f297,f1092,f1168,f1175]) ).
fof(f1180,plain,
( ~ sQ175_spl
| sQ174_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f299,f1092,f1171,f1175]) ).
fof(f1181,definition,
( sQ176_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1184,definition,
( sQ177_spl
<=> op(e2,op(e2,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ177_spl
| op(e2,op(e2,e4)) = e4 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( ~ sQ177_spl
| sQ176_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f303,f1102,f1181,f1184]) ).
fof(f1188,definition,
( sQ178_spl
<=> op(e4,op(e2,e4)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( ~ sQ178_spl
| op(e4,op(e2,e4)) = e2 ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1191,plain,
( sQ178_spl
| sQ176_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f304,f1102,f1181,f1188]) ).
fof(f1192,plain,
( ~ sQ176_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f305,f1102,f1181]) ).
fof(f1193,plain,
( ~ sQ178_spl
| sQ177_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f306,f1102,f1184,f1188]) ).
fof(f1194,definition,
( sQ179_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1197,definition,
( sQ180_spl
<=> op(e2,e4) = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1198,plain,
( ~ sQ180_spl
| op(e2,e4) = op(e4,e2) ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1199,plain,
( sQ180_spl
| op(e2,e4) != op(e4,e2) ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( ~ sQ180_spl
| sQ179_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f310,f1115,f1194,f1197]) ).
fof(f1201,definition,
( sQ181_spl
<=> op(op(e4,e2),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( ~ sQ181_spl
| op(op(e4,e2),e2) = e4 ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,plain,
( sQ181_spl
| sQ179_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f311,f1115,f1194,f1201]) ).
fof(f1209,plain,
( ~ sQ179_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f313,f1115,f1194]) ).
fof(f1211,definition,
( sQ183_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1214,definition,
( sQ184_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( sQ184_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( ~ sQ184_spl
| ~ sQ183_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f316,f1132,f1211,f1214]) ).
fof(f1222,plain,
( ~ sQ184_spl
| sQ183_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f318,f1132,f1211,f1214]) ).
fof(f1241,definition,
( sQ189_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1244,definition,
( sQ190_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( sQ190_spl
| op(e1,op(e1,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1247,plain,
( ~ sQ190_spl
| ~ sQ189_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f330,f1158,f1241,f1244]) ).
fof(f1248,definition,
( sQ191_spl
<=> op(e2,op(e1,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1251,plain,
( sQ191_spl
| ~ sQ189_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f331,f1158,f1241,f1248]) ).
fof(f1266,definition,
( sQ195_spl
<=> op(e3,op(e1,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ195_spl
| op(e3,op(e1,e3)) = e1 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1268,plain,
( sQ195_spl
| op(e3,op(e1,e3)) != e1 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1270,definition,
( sQ196_spl
<=> op(e3,op(e0,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ196_spl
| op(e3,op(e0,e3)) = e0 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1274,plain,
( sQ195_spl
| sQ196_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f340,f1168,f1270,f1266]) ).
fof(f1277,definition,
( sQ197_spl
<=> op(e0,op(e0,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
( ~ sQ197_spl
| op(e0,op(e0,e4)) = e4 ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1279,plain,
( sQ197_spl
| op(e0,op(e0,e4)) != e4 ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,definition,
( sQ198_spl
<=> op(e1,op(e1,e4)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1282,plain,
( sQ198_spl
| op(e1,op(e1,e4)) != e4 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1284,definition,
( sQ199_spl
<=> op(e4,op(e1,e4)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( ~ sQ199_spl
| op(e4,op(e1,e4)) = e1 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,plain,
( sQ199_spl
| ~ sQ197_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f345,f1181,f1277,f1284]) ).
fof(f1288,definition,
( sQ200_spl
<=> op(e4,op(e0,e4)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ200_spl
| op(e4,op(e0,e4)) = e0 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ200_spl
| op(e4,op(e0,e4)) != e0 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( ~ sQ198_spl
| sQ200_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f346,f1181,f1288,f1280]) ).
fof(f1293,plain,
( ~ sQ200_spl
| sQ197_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f348,f1181,f1277,f1288]) ).
fof(f1295,definition,
( sQ201_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1298,definition,
( sQ202_spl
<=> op(e1,e4) = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ202_spl
| op(e1,e4) = op(e4,e1) ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( sQ202_spl
| op(e1,e4) != op(e4,e1) ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( ~ sQ202_spl
| sQ201_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f353,f1194,f1295,f1298]) ).
fof(f1302,definition,
( sQ203_spl
<=> op(op(e4,e1),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( ~ sQ203_spl
| op(op(e4,e1),e1) = e4 ),
inference(component_clause,[status(thm)],[f1302]) ).
fof(f1305,plain,
( sQ203_spl
| sQ201_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f354,f1194,f1295,f1302]) ).
fof(f1310,plain,
( ~ sQ201_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f356,f1194,f1295]) ).
fof(f1312,definition,
( sQ205_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1315,definition,
( sQ206_spl
<=> op(e0,e4) = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
( ~ sQ206_spl
| op(e0,e4) = op(e4,e0) ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1317,plain,
( sQ206_spl
| op(e0,e4) != op(e4,e0) ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
( ~ sQ206_spl
| sQ205_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f361,f1295,f1312,f1315]) ).
fof(f1319,definition,
( sQ207_spl
<=> op(op(e4,e0),e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ207_spl
| sQ205_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f362,f1295,f1312,f1319]) ).
fof(f1323,definition,
( sQ208_spl
<=> op(op(e4,e0),e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1326,plain,
( ~ sQ208_spl
| sQ205_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f363,f1295,f1312,f1323]) ).
fof(f1327,plain,
( ~ sQ205_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f364,f1295,f1312]) ).
fof(f1329,definition,
( sQ209_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1333,definition,
( sQ210_spl
<=> op(op(e3,e4),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( ~ sQ210_spl
| op(op(e3,e4),e4) = e3 ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1336,plain,
( sQ210_spl
| sQ209_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f370,f1312,f1329,f1333]) ).
fof(f1341,plain,
( ~ sQ209_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f372,f1312,f1329]) ).
fof(f1343,definition,
( sQ212_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1346,definition,
( sQ213_spl
<=> op(e3,e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( sQ213_spl
| op(e3,e3) != op(e3,e3) ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( ~ sQ213_spl
| sQ212_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f377,f1329,f1343,f1346]) ).
fof(f1355,plain,
( ~ sQ212_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f380,f1329,f1343]) ).
fof(f1357,definition,
( sQ215_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1360,definition,
( sQ216_spl
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1361,plain,
( ~ sQ216_spl
| op(e2,e3) = op(e3,e2) ),
inference(component_clause,[status(thm)],[f1360]) ).
fof(f1362,plain,
( sQ216_spl
| op(e2,e3) != op(e3,e2) ),
inference(component_clause,[status(thm)],[f1360]) ).
fof(f1363,plain,
( ~ sQ216_spl
| sQ215_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f385,f1343,f1357,f1360]) ).
fof(f1364,definition,
( sQ217_spl
<=> op(op(e3,e2),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1365,plain,
( ~ sQ217_spl
| op(op(e3,e2),e2) = e3 ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1367,plain,
( sQ217_spl
| sQ215_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f386,f1343,f1357,f1364]) ).
fof(f1368,definition,
( sQ218_spl
<=> op(op(e3,e2),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
( ~ sQ218_spl
| sQ215_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f387,f1343,f1357,f1368]) ).
fof(f1372,plain,
( ~ sQ215_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f388,f1343,f1357]) ).
fof(f1373,plain,
( sQ218_spl
| ~ sQ217_spl
| sQ216_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f389,f1343,f1360,f1364,f1368]) ).
fof(f1374,definition,
( sQ219_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1377,definition,
( sQ220_spl
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( sQ220_spl
| op(e1,e3) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f1377]) ).
fof(f1380,plain,
( ~ sQ220_spl
| sQ219_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f393,f1357,f1374,f1377]) ).
fof(f1381,definition,
( sQ221_spl
<=> op(op(e3,e1),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ221_spl
| op(op(e3,e1),e1) = e3 ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1384,plain,
( sQ221_spl
| sQ219_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f394,f1357,f1374,f1381]) ).
fof(f1385,definition,
( sQ222_spl
<=> op(op(e3,e1),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
( ~ sQ222_spl
| sQ219_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f395,f1357,f1374,f1385]) ).
fof(f1389,plain,
( ~ sQ219_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f396,f1357,f1374]) ).
fof(f1391,definition,
( sQ223_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1394,definition,
( sQ224_spl
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ224_spl
| op(e0,e3) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1396,plain,
( sQ224_spl
| op(e0,e3) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( ~ sQ224_spl
| sQ223_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f401,f1374,f1391,f1394]) ).
fof(f1398,definition,
( sQ225_spl
<=> op(op(e3,e0),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( ~ sQ225_spl
| op(op(e3,e0),e0) = e3 ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1400,plain,
( sQ225_spl
| op(op(e3,e0),e0) != e3 ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1401,plain,
( sQ225_spl
| sQ223_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f402,f1374,f1391,f1398]) ).
fof(f1402,definition,
( sQ226_spl
<=> op(op(e3,e0),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( ~ sQ226_spl
| sQ223_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f403,f1374,f1391,f1402]) ).
fof(f1406,plain,
( ~ sQ223_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f404,f1374,f1391]) ).
fof(f1408,definition,
( sQ227_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1412,definition,
( sQ228_spl
<=> op(op(e2,e4),e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
( ~ sQ228_spl
| op(op(e2,e4),e4) = e2 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1415,plain,
( sQ228_spl
| sQ227_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f410,f1391,f1408,f1412]) ).
fof(f1416,definition,
( sQ229_spl
<=> op(op(e2,e4),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
( ~ sQ229_spl
| op(op(e2,e4),e2) = e4 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1420,plain,
( ~ sQ227_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f412,f1391,f1408]) ).
fof(f1422,definition,
( sQ230_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ216_spl
| sQ230_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f417,f1408,f1422,f1360]) ).
fof(f1426,definition,
( sQ231_spl
<=> op(op(e2,e3),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1430,definition,
( sQ232_spl
<=> op(op(e2,e3),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( ~ sQ232_spl
| op(op(e2,e3),e2) = e3 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1432,plain,
( sQ232_spl
| op(op(e2,e3),e2) != e3 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( ~ sQ232_spl
| sQ230_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f419,f1408,f1422,f1430]) ).
fof(f1434,plain,
( ~ sQ230_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f420,f1408,f1422]) ).
fof(f1435,plain,
( sQ232_spl
| ~ sQ231_spl
| sQ216_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f421,f1408,f1360,f1426,f1430]) ).
fof(f1436,definition,
( sQ233_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1439,definition,
( sQ234_spl
<=> op(e2,e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( sQ234_spl
| op(e2,e2) != op(e2,e2) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1442,plain,
( ~ sQ234_spl
| sQ233_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f425,f1422,f1436,f1439]) ).
fof(f1443,definition,
( sQ235_spl
<=> op(op(e2,e2),e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1444,plain,
( ~ sQ235_spl
| op(op(e2,e2),e2) = e2 ),
inference(component_clause,[status(thm)],[f1443]) ).
fof(f1448,plain,
( ~ sQ233_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f428,f1422,f1436]) ).
fof(f1450,definition,
( sQ236_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1453,definition,
( sQ237_spl
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( ~ sQ237_spl
| op(e1,e2) = op(e2,e1) ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1455,plain,
( sQ237_spl
| op(e1,e2) != op(e2,e1) ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1456,plain,
( ~ sQ237_spl
| sQ236_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f433,f1436,f1450,f1453]) ).
fof(f1457,definition,
( sQ238_spl
<=> op(op(e2,e1),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( ~ sQ238_spl
| op(op(e2,e1),e1) = e2 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,plain,
( sQ238_spl
| sQ236_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f434,f1436,f1450,f1457]) ).
fof(f1465,plain,
( ~ sQ236_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f436,f1436,f1450]) ).
fof(f1467,definition,
( sQ240_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1470,definition,
( sQ241_spl
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( ~ sQ241_spl
| op(e0,e2) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1472,plain,
( sQ241_spl
| op(e0,e2) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( ~ sQ241_spl
| sQ240_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f441,f1450,f1467,f1470]) ).
fof(f1482,plain,
( ~ sQ240_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f444,f1450,f1467]) ).
fof(f1484,definition,
( sQ244_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
( ~ sQ202_spl
| sQ244_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f449,f1467,f1484,f1298]) ).
fof(f1488,definition,
( sQ245_spl
<=> op(op(e1,e4),e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( ~ sQ245_spl
| op(op(e1,e4),e4) = e1 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,plain,
( sQ245_spl
| sQ244_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f450,f1467,f1484,f1488]) ).
fof(f1496,plain,
( ~ sQ244_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f452,f1467,f1484]) ).
fof(f1498,definition,
( sQ247_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1501,plain,
( ~ sQ220_spl
| sQ247_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f457,f1484,f1498,f1377]) ).
fof(f1502,definition,
( sQ248_spl
<=> op(op(e1,e3),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1503,plain,
( ~ sQ248_spl
| op(op(e1,e3),e3) = e1 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,plain,
( sQ248_spl
| sQ247_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f458,f1484,f1498,f1502]) ).
fof(f1506,definition,
( sQ249_spl
<=> op(op(e1,e3),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
( ~ sQ249_spl
| sQ247_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f459,f1484,f1498,f1506]) ).
fof(f1510,plain,
( ~ sQ247_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f460,f1484,f1498]) ).
fof(f1511,plain,
( sQ249_spl
| ~ sQ248_spl
| sQ220_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f461,f1484,f1377,f1502,f1506]) ).
fof(f1512,definition,
( sQ250_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ237_spl
| sQ250_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f465,f1498,f1512,f1453]) ).
fof(f1516,definition,
( sQ251_spl
<=> op(op(e1,e2),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
( ~ sQ251_spl
| op(op(e1,e2),e2) = e1 ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1519,plain,
( sQ251_spl
| sQ250_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f466,f1498,f1512,f1516]) ).
fof(f1524,plain,
( ~ sQ250_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f468,f1498,f1512]) ).
fof(f1526,definition,
( sQ253_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1529,definition,
( sQ254_spl
<=> op(e1,e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( sQ254_spl
| op(e1,e1) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f1529]) ).
fof(f1532,plain,
( ~ sQ254_spl
| sQ253_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f473,f1512,f1526,f1529]) ).
fof(f1538,plain,
( ~ sQ253_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f476,f1512,f1526]) ).
fof(f1540,definition,
( sQ256_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1543,definition,
( sQ257_spl
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( ~ sQ257_spl
| op(e0,e1) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f1543]) ).
fof(f1545,plain,
( sQ257_spl
| op(e0,e1) != op(e1,e0) ),
inference(component_clause,[status(thm)],[f1543]) ).
fof(f1546,plain,
( ~ sQ257_spl
| sQ256_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f481,f1526,f1540,f1543]) ).
fof(f1555,plain,
( ~ sQ256_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f484,f1526,f1540]) ).
fof(f1557,definition,
( sQ260_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1560,plain,
( ~ sQ206_spl
| sQ260_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f489,f1540,f1557,f1315]) ).
fof(f1561,definition,
( sQ261_spl
<=> op(op(e0,e4),e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1564,plain,
( sQ261_spl
| sQ260_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f490,f1540,f1557,f1561]) ).
fof(f1565,definition,
( sQ262_spl
<=> op(op(e0,e4),e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( ~ sQ262_spl
| op(op(e0,e4),e0) = e4 ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1568,plain,
( ~ sQ262_spl
| sQ260_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f491,f1540,f1557,f1565]) ).
fof(f1569,plain,
( ~ sQ260_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f492,f1540,f1557]) ).
fof(f1570,plain,
( sQ262_spl
| ~ sQ261_spl
| sQ206_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f493,f1540,f1315,f1561,f1565]) ).
fof(f1571,definition,
( sQ263_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( ~ sQ224_spl
| sQ263_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f497,f1557,f1571,f1394]) ).
fof(f1575,definition,
( sQ264_spl
<=> op(op(e0,e3),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1578,plain,
( sQ264_spl
| sQ263_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f498,f1557,f1571,f1575]) ).
fof(f1579,definition,
( sQ265_spl
<=> op(op(e0,e3),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( ~ sQ265_spl
| op(op(e0,e3),e0) = e3 ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1581,plain,
( sQ265_spl
| op(op(e0,e3),e0) != e3 ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1582,plain,
( ~ sQ265_spl
| sQ263_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f499,f1557,f1571,f1579]) ).
fof(f1583,plain,
( ~ sQ263_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f500,f1557,f1571]) ).
fof(f1584,plain,
( sQ265_spl
| ~ sQ264_spl
| sQ224_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f501,f1557,f1394,f1575,f1579]) ).
fof(f1585,definition,
( sQ266_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1588,plain,
( ~ sQ241_spl
| sQ266_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f505,f1571,f1585,f1470]) ).
fof(f1593,definition,
( sQ268_spl
<=> op(op(e0,e2),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1595,plain,
( sQ268_spl
| op(op(e0,e2),e0) != e2 ),
inference(component_clause,[status(thm)],[f1593]) ).
fof(f1596,plain,
( ~ sQ268_spl
| sQ266_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f507,f1571,f1585,f1593]) ).
fof(f1597,plain,
( ~ sQ266_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f508,f1571,f1585]) ).
fof(f1599,definition,
( sQ269_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1602,plain,
( ~ sQ257_spl
| sQ269_spl
| ~ sQ266_spl ),
inference(split_clause,[status(thm)],[f513,f1585,f1599,f1543]) ).
fof(f1613,definition,
( sQ272_spl
<=> op(e0,e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1615,plain,
( sQ272_spl
| op(e0,e0) != op(e0,e0) ),
inference(component_clause,[status(thm)],[f1613]) ).
fof(f1616,plain,
( ~ sQ272_spl
| ~ sQ269_spl ),
inference(split_clause,[status(thm)],[f519,f1599,f1613]) ).
fof(f1623,plain,
( sQ254_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1531]) ).
fof(f1624,plain,
sQ254_spl,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1625,plain,
( sQ234_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1441]) ).
fof(f1626,plain,
sQ234_spl,
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1627,plain,
( sQ213_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1348]) ).
fof(f1628,plain,
sQ213_spl,
inference(contradiction_clause,[status(thm)],[f1627]) ).
fof(f1629,plain,
( sQ145_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1046]) ).
fof(f1630,plain,
sQ145_spl,
inference(contradiction_clause,[status(thm)],[f1629]) ).
fof(f1631,plain,
( sQ272_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1615]) ).
fof(f1632,plain,
sQ272_spl,
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f1642,plain,
( ~ sQ129_spl
| op(e4,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f936,f34]) ).
fof(f1647,plain,
e4 != op(e3,e2),
inference(backward_demodulation,[status(thm)],[f208,f122]) ).
fof(f1648,plain,
op(e1,e2) != e4,
inference(backward_demodulation,[status(thm)],[f208,f119]) ).
fof(f1649,plain,
op(e0,e2) != e4,
inference(backward_demodulation,[status(thm)],[f208,f116]) ).
fof(f1656,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f924,f43]) ).
fof(f1657,plain,
( ~ sQ125_spl
| op(e0,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f924,f42]) ).
fof(f1658,plain,
( ~ sQ125_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f924,f41]) ).
fof(f1659,plain,
( ~ sQ125_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f924,f40]) ).
fof(f1660,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f924,f39]) ).
fof(f1661,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f924,f38]) ).
fof(f1662,plain,
( ~ sQ125_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f924,f37]) ).
fof(f1663,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f924,f36]) ).
fof(f1664,plain,
( ~ sQ125_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f924,f35]) ).
fof(f1680,plain,
( ~ sQ24_spl
| e4 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f600,f135]) ).
fof(f1682,plain,
( sQ197_spl
| ~ sQ24_spl
| op(e0,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f600,f1279]) ).
fof(f1683,plain,
( sQ197_spl
| ~ sQ24_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f600,f1682]) ).
fof(f1684,plain,
( sQ197_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1683]) ).
fof(f1685,plain,
( sQ197_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1684]) ).
fof(f1696,plain,
( ~ sQ119_spl
| op(e1,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f904,f131]) ).
fof(f1699,plain,
( ~ sQ141_spl
| ~ sQ119_spl
| op(e3,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f904,f1030]) ).
fof(f1712,plain,
( ~ sQ125_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1657,f599,f923]) ).
fof(f1717,plain,
( ~ sQ141_spl
| ~ sQ119_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1699,f839,f903,f1029]) ).
fof(f1718,plain,
( ~ sQ109_spl
| op(e3,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f872,f114]) ).
fof(f1721,plain,
( ~ sQ109_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f872,f108]) ).
fof(f1753,plain,
op(e2,e0) != e4,
inference(forward_demodulation,[status(thm)],[f208,f166]) ).
fof(f1754,plain,
( ~ sQ109_spl
| ~ sQ108_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f869,f872]) ).
fof(f1755,plain,
( ~ sQ109_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1754,f204]) ).
fof(f1756,plain,
( ~ sQ109_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f1755]) ).
fof(f1757,plain,
( ~ sQ104_spl
| ~ sQ103_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f853,f856]) ).
fof(f1758,plain,
( ~ sQ104_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1757,f204]) ).
fof(f1759,plain,
( ~ sQ104_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1758]) ).
fof(f1763,plain,
( ~ sQ73_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f757,f168]) ).
fof(f1764,plain,
op(e2,e1) != e4,
inference(forward_demodulation,[status(thm)],[f208,f169]) ).
fof(f1768,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f754,f757]) ).
fof(f1769,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1768,f202]) ).
fof(f1770,plain,
( ~ sQ73_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1769]) ).
fof(f1771,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f594,f597]) ).
fof(f1772,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1771,f202]) ).
fof(f1773,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1772]) ).
fof(f1774,plain,
e4 != op(e2,e3),
inference(forward_demodulation,[status(thm)],[f208,f172]) ).
fof(f1776,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f882,f885]) ).
fof(f1777,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1776,f202]) ).
fof(f1778,plain,
( ~ sQ113_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1777]) ).
fof(f1780,plain,
( ~ sQ71_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f751,f174]) ).
fof(f1787,plain,
( ~ sQ117_spl
| ~ sQ116_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f895,f898]) ).
fof(f1788,plain,
( ~ sQ117_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1787,f199]) ).
fof(f1789,plain,
( ~ sQ117_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f1788]) ).
fof(f1791,plain,
( ~ sQ96_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f831,f184]) ).
fof(f1792,plain,
( sQ162_spl
| ~ sQ96_spl
| e1 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f831,f1120]) ).
fof(f1800,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f908,f911]) ).
fof(f1801,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1800,f195]) ).
fof(f1802,plain,
( ~ sQ121_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f1801]) ).
fof(f1803,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f828,f831]) ).
fof(f1804,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1803,f195]) ).
fof(f1805,plain,
( ~ sQ96_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1804]) ).
fof(f1823,plain,
( ~ sQ105_spl
| e0 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f860,f191]) ).
fof(f1826,plain,
( ~ sQ100_spl
| e0 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f844,f188]) ).
fof(f1834,plain,
( ~ sQ94_spl
| op(e0,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f824,f127]) ).
fof(f1835,plain,
e0 = op(e4,op(e2,e2)),
inference(forward_demodulation,[status(thm)],[f208,f205]) ).
fof(f1836,plain,
op(e4,e3) != e0,
inference(backward_demodulation,[status(thm)],[f1838,f194]) ).
fof(f1837,plain,
op(e4,e2) != e0,
inference(backward_demodulation,[status(thm)],[f1838,f193]) ).
fof(f1838,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1835]) ).
fof(f1839,plain,
e1 = op(op(e2,e4),op(e2,e2)),
inference(forward_demodulation,[status(thm)],[f208,f206]) ).
fof(f1840,plain,
e1 = op(op(e2,e4),e4),
inference(forward_demodulation,[status(thm)],[f208,f1839]) ).
fof(f1841,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f1774]) ).
fof(f1842,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1847,plain,
( ~ sQ44_spl
| op(e1,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f664,f157]) ).
fof(f1849,plain,
( ~ sQ44_spl
| op(e0,e3) != e4 ),
inference(backward_demodulation,[status(thm)],[f664,f125]) ).
fof(f1853,plain,
e1 = op(e3,e4),
inference(backward_demodulation,[status(thm)],[f1854,f1840]) ).
fof(f1854,plain,
e3 = op(e2,e4),
inference(forward_demodulation,[status(thm)],[f208,f207]) ).
fof(f1877,plain,
( ~ sQ148_spl
| ~ sQ79_spl
| op(e3,e4) = e0 ),
inference(backward_demodulation,[status(thm)],[f776,f1057]) ).
fof(f1880,plain,
( ~ sQ148_spl
| ~ sQ79_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1877,f827,f775,f1056]) ).
fof(f1888,plain,
( ~ sQ44_spl
| ~ sQ43_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f661,f664]) ).
fof(f1889,plain,
( ~ sQ44_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1888,f204]) ).
fof(f1890,plain,
( ~ sQ44_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1889]) ).
fof(f1892,plain,
( ~ sQ18_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f581,f152]) ).
fof(f1894,plain,
( ~ sQ18_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f581,f147]) ).
fof(f1895,plain,
( ~ sQ196_spl
| ~ sQ18_spl
| op(e3,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f581,f1271]) ).
fof(f1900,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f789,f792]) ).
fof(f1901,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1900,f204]) ).
fof(f1902,plain,
( ~ sQ84_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1909,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f770,f773]) ).
fof(f1910,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1909,f202]) ).
fof(f1911,plain,
( ~ sQ78_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1910]) ).
fof(f1924,plain,
( ~ sQ66_spl
| ~ sQ65_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f732,f735]) ).
fof(f1925,plain,
( ~ sQ66_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1924,f195]) ).
fof(f1926,plain,
( ~ sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1934,plain,
( ~ sQ146_spl
| op(e0,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f1838,f1049]) ).
fof(f1954,plain,
( ~ sQ100_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1838,f1826]) ).
fof(f1955,plain,
( ~ sQ100_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1954]) ).
fof(f1956,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1957,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f1764]) ).
fof(f1958,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1957]) ).
fof(f1959,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f1753]) ).
fof(f1960,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f1961,plain,
( ~ sQ63_spl
| e4 = e3 ),
inference(backward_demodulation,[status(thm)],[f725,f208]) ).
fof(f1962,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1961,f204]) ).
fof(f1963,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1962]) ).
fof(f1969,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f1763]) ).
fof(f1970,plain,
( ~ sQ53_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1969]) ).
fof(f1972,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f642,f645]) ).
fof(f1973,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f202]) ).
fof(f1974,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1975,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f562,f565]) ).
fof(f1976,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1975,f202]) ).
fof(f1977,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1976]) ).
fof(f1988,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f687,f690]) ).
fof(f1989,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1988,f199]) ).
fof(f1990,plain,
( ~ sQ52_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1989]) ).
fof(f1991,plain,
( ~ sQ241_spl
| ~ sQ11_spl
| e1 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f559,f1471]) ).
fof(f2014,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f629,f632]) ).
fof(f2015,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2014,f204]) ).
fof(f2016,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2021,plain,
( ~ sQ265_spl
| ~ sQ15_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f572,f1580]) ).
fof(f2033,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f540,f543]) ).
fof(f2034,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2033,f195]) ).
fof(f2035,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2034]) ).
fof(f2038,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f533,f536]) ).
fof(f2039,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2038,f204]) ).
fof(f2040,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2039]) ).
fof(f2049,plain,
( ~ sQ25_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f604,f155]) ).
fof(f2050,plain,
( ~ sQ25_spl
| ~ sQ30_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f620,f2049]) ).
fof(f2051,plain,
( ~ sQ25_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2050]) ).
fof(f2052,plain,
( ~ sQ25_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2054,plain,
( ~ sQ25_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f604,f99]) ).
fof(f2055,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f684,f2054]) ).
fof(f2056,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2055]) ).
fof(f2057,plain,
( ~ sQ25_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2056]) ).
fof(f2058,plain,
( ~ sQ25_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f604,f95]) ).
fof(f2059,plain,
( sQ257_spl
| ~ sQ25_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f604,f1545]) ).
fof(f2062,plain,
( ~ sQ224_spl
| ~ sQ15_spl
| e0 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f572,f1395]) ).
fof(f2067,plain,
( sQ24_spl
| ~ sQ146_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f1934,f601]) ).
fof(f2068,plain,
( sQ24_spl
| ~ sQ146_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2067]) ).
fof(f2069,plain,
( sQ24_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2071,plain,
( ~ sQ24_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1680,f679,f599]) ).
fof(f2072,plain,
( ~ sQ19_spl
| ~ sQ15_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f572,f584]) ).
fof(f2073,plain,
( ~ sQ19_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f198]) ).
fof(f2074,plain,
( ~ sQ19_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( ~ sQ124_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f1838,f920]) ).
fof(f2076,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2075,f198]) ).
fof(f2077,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f2076]) ).
fof(f2078,plain,
( sQ146_spl
| op(e0,e4) != e4 ),
inference(forward_demodulation,[status(thm)],[f1838,f1050]) ).
fof(f2081,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f1648]) ).
fof(f2082,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f2081]) ).
fof(f2089,plain,
( ~ sQ74_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1854,f760]) ).
fof(f2090,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f204]) ).
fof(f2091,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f2090]) ).
fof(f2107,plain,
( ~ sQ195_spl
| ~ sQ40_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f652,f1267]) ).
fof(f2109,plain,
( ~ sQ40_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f652,f160]) ).
fof(f2110,plain,
( ~ sQ25_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f604,f157]) ).
fof(f2111,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f652,f2110]) ).
fof(f2112,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2111]) ).
fof(f2113,plain,
( ~ sQ25_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2112]) ).
fof(f2121,plain,
( sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f1854,f758]) ).
fof(f2122,plain,
( sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2121]) ).
fof(f2123,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f2122]) ).
fof(f2125,plain,
( sQ120_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1838,f909]) ).
fof(f2126,plain,
( sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2125]) ).
fof(f2127,plain,
sQ120_spl,
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2130,plain,
( ~ sQ224_spl
| ~ sQ15_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2062,f763,f571,f1394]) ).
fof(f2131,plain,
( ~ sQ265_spl
| ~ sQ15_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f2021,f532,f571,f1579]) ).
fof(f2133,plain,
( ~ sQ126_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f927,f34]) ).
fof(f2140,plain,
( ~ sQ129_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1642,f843,f935]) ).
fof(f2178,plain,
( ~ sQ118_spl
| op(e4,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f901,f192]) ).
fof(f2179,plain,
( ~ sQ229_spl
| op(e3,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f1854,f1417]) ).
fof(f2185,plain,
( ~ sQ180_spl
| e3 = op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1854,f1198]) ).
fof(f2190,plain,
( ~ sQ123_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1838,f917]) ).
fof(f2191,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2190,f197]) ).
fof(f2192,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f2191]) ).
fof(f2193,plain,
( ~ sQ122_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1838,f914]) ).
fof(f2194,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f196]) ).
fof(f2195,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2216,plain,
( ~ sQ44_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1847,f615,f663]) ).
fof(f2217,plain,
( ~ sQ126_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2133,f603,f926]) ).
fof(f2218,plain,
op(e2,e3) != e3,
inference(forward_demodulation,[status(thm)],[f1854,f174]) ).
fof(f2220,plain,
op(e2,e1) != e3,
inference(forward_demodulation,[status(thm)],[f1854,f171]) ).
fof(f2234,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f2058]) ).
fof(f2235,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2234]) ).
fof(f2236,plain,
( ~ sQ25_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2235]) ).
fof(f2237,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f524,f533]) ).
fof(f2238,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2237,f197]) ).
fof(f2239,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2238]) ).
fof(f2242,plain,
( ~ sQ195_spl
| ~ sQ40_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2107,f766,f651,f1266]) ).
fof(f2243,plain,
( ~ sQ40_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2109,f619,f651]) ).
fof(f2254,plain,
( ~ sQ105_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f1823,f907,f859]) ).
fof(f2255,plain,
( sQ113_spl
| ~ sQ180_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f2185,f886]) ).
fof(f2256,plain,
( sQ113_spl
| ~ sQ180_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2255]) ).
fof(f2257,plain,
( sQ113_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f2256]) ).
fof(f2259,plain,
( sQ180_spl
| e3 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f1854,f1199]) ).
fof(f2260,plain,
( ~ sQ229_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2179,f807,f1416]) ).
fof(f2270,plain,
( ~ sQ24_spl
| sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f2078]) ).
fof(f2271,plain,
( ~ sQ24_spl
| sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2270]) ).
fof(f2274,plain,
( ~ sQ125_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1656,f855,f923]) ).
fof(f2275,plain,
( ~ sQ125_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1659,f580,f923]) ).
fof(f2276,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1664,f523,f923]) ).
fof(f2279,plain,
( sQ180_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2259,f884,f1197]) ).
fof(f2280,plain,
( ~ sQ118_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2178,f884,f900]) ).
fof(f2281,plain,
( ~ sQ241_spl
| ~ sQ11_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1991,f686,f558,f1470]) ).
fof(f2283,plain,
( sQ257_spl
| ~ sQ25_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2059,f539,f603,f1543]) ).
fof(f2285,plain,
op(e1,e4) != e3,
inference(forward_demodulation,[status(thm)],[f1854,f139]) ).
fof(f2286,plain,
op(e0,e4) != e3,
inference(forward_demodulation,[status(thm)],[f1854,f136]) ).
fof(f2289,plain,
op(e1,e4) != e0,
inference(forward_demodulation,[status(thm)],[f1838,f141]) ).
fof(f2290,plain,
op(e0,e4) != e0,
inference(forward_demodulation,[status(thm)],[f1838,f138]) ).
fof(f2291,plain,
( ~ sQ177_spl
| op(e2,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f1854,f1185]) ).
fof(f2292,plain,
( ~ sQ143_spl
| op(e4,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f1838,f1037]) ).
fof(f2294,plain,
( ~ sQ111_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f879,f121]) ).
fof(f2298,plain,
( ~ sQ111_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2294,f638,f878]) ).
fof(f2306,plain,
( ~ sQ126_spl
| op(e4,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f927,f43]) ).
fof(f2307,plain,
( ~ sQ126_spl
| op(e1,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f927,f42]) ).
fof(f2308,plain,
( ~ sQ126_spl
| op(e3,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f927,f41]) ).
fof(f2310,plain,
( ~ sQ126_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2306,f871,f926]) ).
fof(f2311,plain,
( ~ sQ126_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2307,f679,f926]) ).
fof(f2312,plain,
( ~ sQ126_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f2308,f788,f926]) ).
fof(f2332,plain,
( ~ sQ160_spl
| op(e4,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f1853,f1110]) ).
fof(f2339,plain,
( ~ sQ78_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f773,f176]) ).
fof(f2348,plain,
( ~ sQ17_spl
| e2 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f578,f128]) ).
fof(f2349,plain,
( ~ sQ17_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2348,f897,f577]) ).
fof(f2355,plain,
( ~ sQ98_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1853,f837]) ).
fof(f2356,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2355,f200]) ).
fof(f2357,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f2356]) ).
fof(f2359,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f773,f776]) ).
fof(f2360,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2359,f204]) ).
fof(f2361,plain,
( ~ sQ79_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f2360]) ).
fof(f2363,plain,
( sQ96_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f1853,f832]) ).
fof(f2364,plain,
( sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2363]) ).
fof(f2365,plain,
sQ96_spl,
inference(contradiction_clause,[status(thm)],[f2364]) ).
fof(f2369,plain,
( ~ sQ78_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2339,f804,f772]) ).
fof(f2371,plain,
( ~ sQ97_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1853,f834]) ).
fof(f2372,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2371,f199]) ).
fof(f2373,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f2372]) ).
fof(f2381,plain,
( ~ sQ159_spl
| op(e3,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f1853,f1106]) ).
fof(f2387,plain,
( ~ sQ96_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f1791,f814,f830]) ).
fof(f2390,plain,
( sQ143_spl
| op(e4,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f1838,f1038]) ).
fof(f2405,plain,
( ~ sQ235_spl
| op(e4,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f208,f1444]) ).
fof(f2412,plain,
( ~ sQ8_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f549,f150]) ).
fof(f2416,plain,
( ~ sQ135_spl
| ~ sQ160_spl
| e4 != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f2418,f164]) ).
fof(f2418,plain,
( ~ sQ135_spl
| ~ sQ160_spl
| op(e1,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f2332,f1008]) ).
fof(f2419,plain,
( ~ sQ135_spl
| ~ sQ160_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2416,f679,f1109,f1007]) ).
fof(f2420,plain,
( ~ sQ99_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f1853,f840]) ).
fof(f2421,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2420,f201]) ).
fof(f2422,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f2421]) ).
fof(f2423,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f2285]) ).
fof(f2424,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f2423]) ).
fof(f2427,plain,
( sQ159_spl
| op(e3,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f1853,f1107]) ).
fof(f2441,plain,
( ~ sQ225_spl
| ~ sQ224_spl
| op(op(e0,e3),e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f1395,f1399]) ).
fof(f2442,plain,
( ~ sQ225_spl
| ~ sQ224_spl
| sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2441,f1581]) ).
fof(f2443,plain,
( ~ sQ225_spl
| ~ sQ224_spl
| sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f2442]) ).
fof(f2444,plain,
( sQ58_spl
| ~ sQ237_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1454,f710]) ).
fof(f2446,plain,
( sQ58_spl
| ~ sQ237_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2444,f644,f1453,f708]) ).
fof(f2454,plain,
( ~ sQ127_spl
| e4 = e2 ),
inference(backward_demodulation,[status(thm)],[f2455,f208]) ).
fof(f2455,plain,
( ~ sQ127_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f930,f39]) ).
fof(f2456,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2454,f203]) ).
fof(f2457,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2456]) ).
fof(f2460,plain,
( ~ sQ18_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1892,f564,f580]) ).
fof(f2461,plain,
( ~ sQ196_spl
| ~ sQ18_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1895,f811,f580,f1270]) ).
fof(f2463,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f808,f1647]) ).
fof(f2464,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f2463]) ).
fof(f2465,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f1649]) ).
fof(f2466,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f2465]) ).
fof(f2467,plain,
( sQ159_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2427,f791,f1105]) ).
fof(f2468,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f2289]) ).
fof(f2469,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2471,plain,
( ~ sQ109_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1721,f551,f871]) ).
fof(f2472,plain,
( ~ sQ109_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1718,f791,f871]) ).
fof(f2473,plain,
( sQ160_spl
| op(e4,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1853,f1111]) ).
fof(f2474,plain,
( sQ143_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2390,f855,f1036]) ).
fof(f2475,plain,
( ~ sQ232_spl
| ~ sQ177_spl
| op(e4,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f2291,f1431]) ).
fof(f2477,plain,
( ~ sQ8_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2412,f580,f548]) ).
fof(f2479,plain,
( sQ162_spl
| ~ sQ96_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f1792,f894,f830,f1118]) ).
fof(f2481,plain,
( ~ sQ18_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1894,f532,f580]) ).
fof(f2484,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f2220]) ).
fof(f2485,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f2484]) ).
fof(f2486,plain,
( ~ sQ71_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f1780,f734,f750]) ).
fof(f2487,plain,
op(e3,e2) != e1,
inference(forward_demodulation,[status(thm)],[f1853,f183]) ).
fof(f2488,plain,
op(e3,e1) != e1,
inference(forward_demodulation,[status(thm)],[f1853,f181]) ).
fof(f2489,plain,
op(e3,e0) != e1,
inference(forward_demodulation,[status(thm)],[f1853,f178]) ).
fof(f2494,plain,
( ~ sQ128_spl
| op(e3,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f933,f36]) ).
fof(f2497,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2494,f2488]) ).
fof(f2498,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f2497]) ).
fof(f2499,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1658,f772,f923]) ).
fof(f2500,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1660,f689,f923]) ).
fof(f2501,plain,
( ~ sQ125_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1661,f561,f923]) ).
fof(f2502,plain,
( ~ sQ125_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1662,f606,f923]) ).
fof(f2503,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1663,f542,f923]) ).
fof(f2504,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f767,f2489]) ).
fof(f2505,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f2504]) ).
fof(f2506,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f2487]) ).
fof(f2507,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2510,plain,
( ~ sQ22_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f594,f148]) ).
fof(f2511,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f594,f151]) ).
fof(f2512,plain,
( ~ sQ22_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f594,f153]) ).
fof(f2513,plain,
( ~ sQ22_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f594,f154]) ).
fof(f2514,plain,
( ~ sQ22_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2512,f561,f593]) ).
fof(f2522,plain,
( ~ sQ143_spl
| op(e1,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f2292,f101]) ).
fof(f2523,plain,
( ~ sQ143_spl
| e4 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f2292,f185]) ).
fof(f2524,plain,
( ~ sQ143_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2522,f615,f1036]) ).
fof(f2525,plain,
( ~ sQ44_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1849,f583,f663]) ).
fof(f2529,plain,
( ~ sQ143_spl
| e4 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f2292,f187]) ).
fof(f2542,plain,
( ~ sQ38_spl
| e3 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f645,f121]) ).
fof(f2553,plain,
( ~ sQ125_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f2555,f167]) ).
fof(f2554,plain,
( ~ sQ125_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f2555,f165]) ).
fof(f2555,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f924,f39]) ).
fof(f2562,plain,
( ~ sQ125_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f924,f34]) ).
fof(f2568,plain,
( ~ sQ125_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f2562,f97]) ).
fof(f2585,plain,
( ~ sQ90_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f812,f182]) ).
fof(f2588,plain,
( ~ sQ90_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2585,f795,f811]) ).
fof(f2593,plain,
( ~ sQ75_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f764,f2568]) ).
fof(f2594,plain,
( ~ sQ75_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2603,plain,
( ~ sQ108_spl
| e3 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f869,f189]) ).
fof(f2607,plain,
( ~ sQ108_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2603,f884,f868]) ).
fof(f2609,plain,
( ~ sQ38_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2542,f884,f644]) ).
fof(f2611,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f876,f1837]) ).
fof(f2612,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2614,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f1836]) ).
fof(f2615,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f2614]) ).
fof(f2624,plain,
( sQ257_spl
| ~ sQ125_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f2627,f1545]) ).
fof(f2625,plain,
( ~ sQ125_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f2627,f106]) ).
fof(f2627,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f924,f36]) ).
fof(f2629,plain,
( sQ257_spl
| ~ sQ125_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2624,f606,f923,f1543]) ).
fof(f2631,plain,
( ~ sQ7_spl
| ~ sQ125_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f2627,f546]) ).
fof(f2632,plain,
( ~ sQ7_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2631,f199]) ).
fof(f2633,plain,
( ~ sQ7_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2632]) ).
fof(f2640,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f2218]) ).
fof(f2641,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f2640]) ).
fof(f2642,plain,
( sQ220_spl
| ~ sQ159_spl
| op(e1,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f2381,f1379]) ).
fof(f2644,plain,
( sQ206_spl
| ~ sQ146_spl
| e4 != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f1934,f1317]) ).
fof(f2645,plain,
( sQ206_spl
| ~ sQ146_spl
| ~ sQ143_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f2292,f2644]) ).
fof(f2646,plain,
( sQ206_spl
| ~ sQ146_spl
| ~ sQ143_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2645]) ).
fof(f2647,plain,
( sQ206_spl
| ~ sQ146_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f2646]) ).
fof(f2664,plain,
( ~ sQ125_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f2666,f157]) ).
fof(f2666,plain,
( ~ sQ125_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f924,f37]) ).
fof(f2667,plain,
( ~ sQ125_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2664,f654,f923]) ).
fof(f2669,plain,
( ~ sQ125_spl
| e2 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f2674,f118]) ).
fof(f2673,plain,
( ~ sQ125_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f2674,f117]) ).
fof(f2674,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f924,f38]) ).
fof(f2676,plain,
( ~ sQ125_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2673,f801,f923]) ).
fof(f2678,plain,
( ~ sQ18_spl
| e3 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f581,f128]) ).
fof(f2679,plain,
( sQ224_spl
| ~ sQ18_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f581,f1396]) ).
fof(f2682,plain,
( ~ sQ18_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f581,f125]) ).
fof(f2683,plain,
( sQ224_spl
| ~ sQ18_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2679,f772,f580,f1394]) ).
fof(f2708,plain,
( ~ sQ61_spl
| e4 = e1 ),
inference(backward_demodulation,[status(thm)],[f719,f208]) ).
fof(f2709,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2708,f201]) ).
fof(f2710,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f2709]) ).
fof(f2720,plain,
( ~ sQ47_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f674,f164]) ).
fof(f2721,plain,
( ~ sQ199_spl
| ~ sQ47_spl
| op(e4,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f674,f1285]) ).
fof(f2722,plain,
( ~ sQ47_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f674,f161]) ).
fof(f2727,plain,
( ~ sQ47_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2720,f657,f673]) ).
fof(f2728,plain,
( ~ sQ199_spl
| ~ sQ47_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f2721,f878,f673,f1284]) ).
fof(f2729,plain,
( ~ sQ47_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2722,f625,f673]) ).
fof(f2731,plain,
( ~ sQ162_spl
| e1 = op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f1853,f1119]) ).
fof(f2732,plain,
( sQ241_spl
| ~ sQ125_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f2674,f1472]) ).
fof(f2733,plain,
( sQ241_spl
| ~ sQ125_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f2555,f2732]) ).
fof(f2734,plain,
( sQ241_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2733]) ).
fof(f2735,plain,
( sQ241_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2734]) ).
fof(f2738,plain,
( ~ sQ28_spl
| ~ sQ125_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f2666,f613]) ).
fof(f2739,plain,
( ~ sQ28_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2738,f200]) ).
fof(f2740,plain,
( ~ sQ28_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2739]) ).
fof(f2743,plain,
( sQ225_spl
| ~ sQ78_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f773,f1400]) ).
fof(f2744,plain,
( sQ225_spl
| ~ sQ78_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f773,f2743]) ).
fof(f2745,plain,
( sQ225_spl
| ~ sQ78_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2744]) ).
fof(f2746,plain,
( sQ225_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f2745]) ).
fof(f2749,plain,
( sQ220_spl
| ~ sQ159_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2642,f663,f1105,f1377]) ).
fof(f2750,plain,
( sQ202_spl
| ~ sQ47_spl
| e2 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f674,f1300]) ).
fof(f2769,plain,
( sQ202_spl
| ~ sQ47_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2750,f865,f673,f1298]) ).
fof(f2774,plain,
( ~ sQ202_spl
| ~ sQ47_spl
| e2 = op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f674,f1299]) ).
fof(f2789,plain,
( ~ sQ125_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f2666,f156]) ).
fof(f2790,plain,
( ~ sQ125_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f2674,f115]) ).
fof(f2795,plain,
( ~ sQ85_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f796,f120]) ).
fof(f2796,plain,
( ~ sQ47_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f674,f163]) ).
fof(f2802,plain,
( sQ216_spl
| ~ sQ85_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f796,f1362]) ).
fof(f2809,plain,
( ~ sQ65_spl
| sQ216_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f2802]) ).
fof(f2810,plain,
( ~ sQ65_spl
| sQ216_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2809]) ).
fof(f2811,plain,
( ~ sQ216_spl
| ~ sQ85_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f796,f1361]) ).
fof(f2812,plain,
( ~ sQ56_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f2625]) ).
fof(f2813,plain,
( ~ sQ56_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2812]) ).
fof(f2818,plain,
( ~ sQ44_spl
| e4 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f664,f130]) ).
fof(f2821,plain,
( sQ195_spl
| ~ sQ44_spl
| op(e3,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f664,f1268]) ).
fof(f2823,plain,
( ~ sQ44_spl
| op(e1,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f664,f160]) ).
fof(f2824,plain,
( sQ195_spl
| ~ sQ44_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f2821,f830,f663,f1266]) ).
fof(f2829,plain,
( ~ sQ67_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f2553]) ).
fof(f2830,plain,
( ~ sQ67_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2829]) ).
fof(f2831,plain,
( ~ sQ57_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f706,f2554]) ).
fof(f2832,plain,
( ~ sQ57_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2831]) ).
fof(f2833,plain,
( ~ sQ143_spl
| ~ sQ102_spl
| e2 = e4 ),
inference(backward_demodulation,[status(thm)],[f850,f2292]) ).
fof(f2834,plain,
( ~ sQ143_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2833,f203]) ).
fof(f2835,plain,
( ~ sQ143_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2834]) ).
fof(f2843,plain,
( ~ sQ37_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f2790]) ).
fof(f2844,plain,
( ~ sQ37_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2843]) ).
fof(f2845,plain,
( ~ sQ159_spl
| ~ sQ82_spl
| e2 = e4 ),
inference(backward_demodulation,[status(thm)],[f786,f2381]) ).
fof(f2846,plain,
( ~ sQ159_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2845,f203]) ).
fof(f2847,plain,
( ~ sQ159_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2846]) ).
fof(f2857,plain,
( ~ sQ202_spl
| ~ sQ47_spl
| e2 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f2774,f190]) ).
fof(f2861,plain,
( ~ sQ202_spl
| ~ sQ47_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2857,f897,f673,f1298]) ).
fof(f2863,plain,
( ~ sQ119_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1696,f663,f903]) ).
fof(f2864,plain,
( ~ sQ119_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f904,f2529]) ).
fof(f2865,plain,
( ~ sQ119_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f2864]) ).
fof(f2867,plain,
( ~ sQ125_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2669,f881,f923]) ).
fof(f2869,plain,
( ~ sQ108_spl
| ~ sQ202_spl
| ~ sQ47_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f2774,f869]) ).
fof(f2870,plain,
( ~ sQ108_spl
| ~ sQ202_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2869,f202]) ).
fof(f2871,plain,
( ~ sQ108_spl
| ~ sQ202_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2870]) ).
fof(f2873,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f636,f2795]) ).
fof(f2874,plain,
( ~ sQ35_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2873]) ).
fof(f2875,plain,
( ~ sQ36_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f2789]) ).
fof(f2876,plain,
( ~ sQ36_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2875]) ).
fof(f2879,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2511,f545,f593]) ).
fof(f2880,plain,
( ~ sQ94_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1834,f583,f823]) ).
fof(f2887,plain,
( ~ sQ67_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f738,f170]) ).
fof(f2889,plain,
( ~ sQ67_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2887,f705,f737]) ).
fof(f2899,plain,
( ~ sQ126_spl
| op(e1,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f927,f38]) ).
fof(f2903,plain,
( ~ sQ126_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f2899,f641,f926]) ).
fof(f2905,plain,
( ~ sQ126_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f2907,f159]) ).
fof(f2906,plain,
( ~ sQ126_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f2907,f109]) ).
fof(f2907,plain,
( ~ sQ126_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f927,f37]) ).
fof(f2915,plain,
( ~ sQ126_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f2916,f106]) ).
fof(f2916,plain,
( ~ sQ126_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f927,f35]) ).
fof(f2917,plain,
( ~ sQ126_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2915,f699,f926]) ).
fof(f2922,plain,
( ~ sQ126_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2906,f702,f926]) ).
fof(f2928,plain,
( ~ sQ33_spl
| ~ sQ126_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f2907,f629]) ).
fof(f2929,plain,
( ~ sQ33_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2928,f200]) ).
fof(f2930,plain,
( ~ sQ33_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2932,plain,
( ~ sQ47_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2796,f641,f673]) ).
fof(f2933,plain,
( sQ5_spl
| ~ sQ126_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f2916,f541]) ).
fof(f2934,plain,
( sQ5_spl
| ~ sQ126_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2933]) ).
fof(f2935,plain,
( sQ5_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2934]) ).
fof(f2938,plain,
( ~ sQ22_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2510,f529,f593]) ).
fof(f2939,plain,
( ~ sQ216_spl
| ~ sQ85_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2811,f731,f795,f1360]) ).
fof(f2952,plain,
( ~ sQ126_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f927,f34]) ).
fof(f2955,plain,
( ~ sQ126_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f2960,f165]) ).
fof(f2957,plain,
( sQ237_spl
| ~ sQ126_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f2960,f1455]) ).
fof(f2960,plain,
( ~ sQ126_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f927,f39]) ).
fof(f2962,plain,
( sQ237_spl
| ~ sQ126_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2957,f641,f926,f1453]) ).
fof(f2963,plain,
( ~ sQ237_spl
| ~ sQ126_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f2960,f1454]) ).
fof(f2967,plain,
( ~ sQ126_spl
| op(e1,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f927,f40]) ).
fof(f2968,plain,
( ~ sQ126_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f927,f41]) ).
fof(f2971,plain,
( sQ198_spl
| ~ sQ126_spl
| op(e1,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f2974,f1282]) ).
fof(f2972,plain,
( ~ sQ199_spl
| ~ sQ126_spl
| op(e4,e4) = e1 ),
inference(backward_demodulation,[status(thm)],[f2974,f1285]) ).
fof(f2973,plain,
( sQ202_spl
| ~ sQ126_spl
| e4 != op(e4,e1) ),
inference(backward_demodulation,[status(thm)],[f2974,f1300]) ).
fof(f2974,plain,
( ~ sQ126_spl
| op(e1,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f927,f42]) ).
fof(f2975,plain,
( sQ198_spl
| ~ sQ126_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2971,f679,f926,f1280]) ).
fof(f2976,plain,
( ~ sQ199_spl
| ~ sQ126_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2972,f910,f926,f1284]) ).
fof(f2977,plain,
( sQ202_spl
| ~ sQ126_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f2973,f871,f926,f1298]) ).
fof(f2984,plain,
( ~ sQ245_spl
| ~ sQ126_spl
| op(e4,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f2974,f1489]) ).
fof(f2985,plain,
( ~ sQ245_spl
| ~ sQ126_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1838,f2984]) ).
fof(f2986,plain,
( ~ sQ245_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2985,f195]) ).
fof(f2987,plain,
( ~ sQ245_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2986]) ).
fof(f2992,plain,
( ~ sQ126_spl
| op(e4,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f927,f43]) ).
fof(f2993,plain,
( ~ sQ126_spl
| e3 != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f2967,f131]) ).
fof(f3011,plain,
( ~ sQ180_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f2185,f118]) ).
fof(f3022,plain,
( ~ sQ170_spl
| ~ sQ126_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f2960,f1153]) ).
fof(f3032,plain,
( ~ sQ126_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f2967,f125]) ).
fof(f3037,plain,
( ~ sQ138_spl
| ~ sQ180_spl
| op(e2,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f2185,f1019]) ).
fof(f3038,plain,
( ~ sQ180_spl
| ~ sQ111_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f879,f2185]) ).
fof(f3039,plain,
( ~ sQ180_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3038,f200]) ).
fof(f3040,plain,
( ~ sQ180_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3039]) ).
fof(f3044,plain,
( ~ sQ28_spl
| ~ sQ126_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f2952,f613]) ).
fof(f3045,plain,
( ~ sQ28_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3044,f197]) ).
fof(f3046,plain,
( ~ sQ28_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3045]) ).
fof(f3048,plain,
( ~ sQ162_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f2731,f894,f1118]) ).
fof(f3049,plain,
( ~ sQ228_spl
| op(e3,e4) = e2 ),
inference(forward_demodulation,[status(thm)],[f1854,f1413]) ).
fof(f3050,plain,
( ~ sQ228_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1853,f3049]) ).
fof(f3051,plain,
( ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3050,f199]) ).
fof(f3052,plain,
~ sQ228_spl,
inference(contradiction_clause,[status(thm)],[f3051]) ).
fof(f3054,plain,
( ~ sQ118_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f901,f2993]) ).
fof(f3055,plain,
( ~ sQ118_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3054]) ).
fof(f3059,plain,
( sQ190_spl
| ~ sQ170_spl
| ~ sQ126_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f3022,f1246]) ).
fof(f3060,plain,
( sQ190_spl
| ~ sQ170_spl
| ~ sQ126_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3022,f3059]) ).
fof(f3061,plain,
( sQ190_spl
| ~ sQ170_spl
| ~ sQ126_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3060]) ).
fof(f3062,plain,
( sQ190_spl
| ~ sQ170_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3061]) ).
fof(f3064,plain,
( sQ170_spl
| ~ sQ126_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f2960,f1154]) ).
fof(f3067,plain,
( ~ sQ27_spl
| ~ sQ126_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f2952,f610]) ).
fof(f3068,plain,
( ~ sQ27_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3067,f196]) ).
fof(f3069,plain,
( ~ sQ27_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3068]) ).
fof(f3075,plain,
( ~ sQ126_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f2968,f179]) ).
fof(f3089,plain,
( ~ sQ103_spl
| e3 != op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f853,f186]) ).
fof(f3103,plain,
( sQ135_spl
| ~ sQ126_spl
| op(e1,e4) != e4 ),
inference(forward_demodulation,[status(thm)],[f2992,f1009]) ).
fof(f3104,plain,
( sQ135_spl
| ~ sQ126_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f2974,f3103]) ).
fof(f3105,plain,
( sQ135_spl
| ~ sQ126_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3104]) ).
fof(f3106,plain,
( sQ135_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3105]) ).
fof(f3108,plain,
( ~ sQ206_spl
| ~ sQ103_spl
| op(e0,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f853,f1316]) ).
fof(f3109,plain,
( ~ sQ206_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3108,f2286]) ).
fof(f3110,plain,
( ~ sQ206_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f3109]) ).
fof(f3111,plain,
( ~ sQ29_spl
| ~ sQ126_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f2952,f616]) ).
fof(f3112,plain,
( ~ sQ29_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3111,f198]) ).
fof(f3113,plain,
( ~ sQ29_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3112]) ).
fof(f3114,plain,
( ~ sQ210_spl
| op(e1,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f1853,f1334]) ).
fof(f3115,plain,
( ~ sQ235_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f2405,f881,f1443]) ).
fof(f3128,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f2290]) ).
fof(f3129,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f3128]) ).
fof(f3152,plain,
( ~ sQ237_spl
| ~ sQ126_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f2963,f120]) ).
fof(f3154,plain,
( ~ sQ237_spl
| ~ sQ126_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3152,f801,f926,f1453]) ).
fof(f3155,plain,
( ~ sQ8_spl
| ~ sQ126_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f2916,f549]) ).
fof(f3156,plain,
( ~ sQ8_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3155,f197]) ).
fof(f3157,plain,
( ~ sQ8_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3156]) ).
fof(f3173,plain,
( ~ sQ126_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f2916,f150]) ).
fof(f3185,plain,
( sQ206_spl
| ~ sQ22_spl
| e2 != op(e4,e0) ),
inference(backward_demodulation,[status(thm)],[f594,f1317]) ).
fof(f3186,plain,
( ~ sQ200_spl
| ~ sQ22_spl
| op(e4,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f594,f1289]) ).
fof(f3194,plain,
( ~ sQ200_spl
| ~ sQ22_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3186,f875,f593,f1288]) ).
fof(f3197,plain,
( ~ sQ178_spl
| op(e4,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f1854,f1189]) ).
fof(f3202,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f2513]) ).
fof(f3203,plain,
( ~ sQ17_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3202]) ).
fof(f3213,plain,
( ~ sQ51_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f687,f167]) ).
fof(f3220,plain,
( ~ sQ51_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f3213,f734,f686]) ).
fof(f3224,plain,
( ~ sQ197_spl
| ~ sQ22_spl
| op(e0,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f594,f1278]) ).
fof(f3225,plain,
( ~ sQ197_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3224,f1649]) ).
fof(f3226,plain,
( ~ sQ197_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3225]) ).
fof(f3232,plain,
( ~ sQ262_spl
| ~ sQ22_spl
| op(e2,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f594,f1566]) ).
fof(f3233,plain,
( ~ sQ262_spl
| ~ sQ22_spl
| ~ sQ51_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f687,f3232]) ).
fof(f3234,plain,
( ~ sQ262_spl
| ~ sQ22_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3233,f201]) ).
fof(f3235,plain,
( ~ sQ262_spl
| ~ sQ22_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3234]) ).
fof(f3237,plain,
( sQ184_spl
| ~ sQ126_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f2952,f1216]) ).
fof(f3238,plain,
( sQ184_spl
| ~ sQ126_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f2952,f3237]) ).
fof(f3239,plain,
( sQ184_spl
| ~ sQ126_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3238]) ).
fof(f3240,plain,
( sQ184_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3239]) ).
fof(f3241,plain,
( ~ sQ88_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f3075]) ).
fof(f3242,plain,
( ~ sQ88_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3241]) ).
fof(f3244,plain,
( ~ sQ180_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3011,f564,f1197]) ).
fof(f3247,plain,
( ~ sQ138_spl
| ~ sQ180_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f3037,f743,f1197,f1018]) ).
fof(f3248,plain,
( sQ170_spl
| ~ sQ126_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3064,f641,f926,f1152]) ).
fof(f3251,plain,
( ~ sQ126_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2955,f689,f926]) ).
fof(f3252,plain,
( ~ sQ15_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f3173]) ).
fof(f3253,plain,
( ~ sQ15_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3252]) ).
fof(f3254,plain,
( ~ sQ102_spl
| sQ206_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f3185]) ).
fof(f3255,plain,
( ~ sQ102_spl
| sQ206_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3254]) ).
fof(f3283,plain,
( ~ sQ154_spl
| ~ sQ85_spl
| op(e3,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f796,f1083]) ).
fof(f3331,plain,
( sQ268_spl
| ~ sQ13_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f565,f1595]) ).
fof(f3332,plain,
( sQ268_spl
| ~ sQ13_spl
| ~ sQ77_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f770,f3331]) ).
fof(f3333,plain,
( sQ268_spl
| ~ sQ13_spl
| ~ sQ77_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3332]) ).
fof(f3334,plain,
( sQ268_spl
| ~ sQ13_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3333]) ).
fof(f3348,plain,
( ~ sQ167_spl
| ~ sQ51_spl
| op(e0,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f687,f1140]) ).
fof(f3351,plain,
( ~ sQ167_spl
| ~ sQ51_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f3348,f545,f686,f1139]) ).
fof(f3358,plain,
( ~ sQ132_spl
| ~ sQ103_spl
| op(e0,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f853,f997]) ).
fof(f3359,plain,
( ~ sQ132_spl
| ~ sQ103_spl
| ~ sQ16_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f575,f3358]) ).
fof(f3360,plain,
( ~ sQ132_spl
| ~ sQ103_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3359,f201]) ).
fof(f3361,plain,
( ~ sQ132_spl
| ~ sQ103_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3360]) ).
fof(f3364,plain,
( sQ148_spl
| ~ sQ77_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f770,f1058]) ).
fof(f3365,plain,
( sQ148_spl
| ~ sQ77_spl
| ~ sQ85_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f796,f3364]) ).
fof(f3366,plain,
( sQ148_spl
| ~ sQ77_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3365]) ).
fof(f3367,plain,
( sQ148_spl
| ~ sQ77_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3368,plain,
( sQ140_spl
| ~ sQ178_spl
| op(e4,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f3197,f1027]) ).
fof(f3369,plain,
( ~ sQ103_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3089,f884,f852]) ).
fof(f3372,plain,
( ~ sQ126_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3032,f580,f926]) ).
fof(f3376,plain,
( ~ sQ18_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2682,f660,f580]) ).
fof(f3380,plain,
( sQ117_spl
| ~ sQ178_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f3197,f899]) ).
fof(f3381,plain,
( sQ117_spl
| ~ sQ178_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3380]) ).
fof(f3382,plain,
( sQ117_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f3381]) ).
fof(f3387,plain,
( ~ sQ85_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f796,f179]) ).
fof(f3392,plain,
( ~ sQ143_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f2523,f871,f1036]) ).
fof(f3397,plain,
( ~ sQ18_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f2678,f900,f580]) ).
fof(f3413,plain,
( ~ sQ78_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f773,f175]) ).
fof(f3452,plain,
( ~ sQ257_spl
| ~ sQ26_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f607,f1544]) ).
fof(f3460,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f924,f38]) ).
fof(f3516,plain,
( ~ sQ251_spl
| ~ sQ38_spl
| op(e3,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f645,f1517]) ).
fof(f3518,plain,
( ~ sQ251_spl
| ~ sQ38_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f3516,f798,f644,f1516]) ).
fof(f3519,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f3413]) ).
fof(f3520,plain,
( ~ sQ83_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f3519]) ).
fof(f3529,plain,
( ~ sQ232_spl
| ~ sQ177_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f2475,f884,f1184,f1430]) ).
fof(f3532,plain,
( sQ200_spl
| ~ sQ146_spl
| op(e4,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f1934,f1290]) ).
fof(f3533,plain,
( sQ200_spl
| ~ sQ146_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1838,f3532]) ).
fof(f3534,plain,
( sQ200_spl
| ~ sQ146_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3533]) ).
fof(f3535,plain,
( sQ200_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f3534]) ).
fof(f3536,plain,
( sQ160_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2473,f868,f1109]) ).
fof(f3549,plain,
( ~ sQ80_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f3387]) ).
fof(f3550,plain,
( ~ sQ80_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3549]) ).
fof(f3565,plain,
( ~ sQ154_spl
| ~ sQ85_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f3283,f769,f795,f1082]) ).
fof(f3614,plain,
( ~ sQ55_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f700,f109]) ).
fof(f3619,plain,
( ~ sQ55_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f700,f170]) ).
fof(f3652,plain,
( ~ sQ174_spl
| ~ sQ66_spl
| op(e2,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f735,f1172]) ).
fof(f3653,plain,
( ~ sQ174_spl
| ~ sQ66_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f3652,f708,f734,f1171]) ).
fof(f3729,plain,
( ~ sQ135_spl
| ~ sQ160_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f2418,f663,f1109,f1007]) ).
fof(f3749,plain,
( sQ232_spl
| ~ sQ66_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f735,f1432]) ).
fof(f3750,plain,
( sQ232_spl
| ~ sQ66_spl
| ~ sQ38_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f645,f3749]) ).
fof(f3751,plain,
( sQ232_spl
| ~ sQ66_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3750]) ).
fof(f3752,plain,
( sQ232_spl
| ~ sQ66_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3751]) ).
fof(f3756,plain,
( ~ sQ18_spl
| ~ sQ248_spl
| ~ sQ40_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f3757,f581]) ).
fof(f3757,plain,
( ~ sQ248_spl
| ~ sQ40_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f652,f1503]) ).
fof(f3758,plain,
( ~ sQ18_spl
| ~ sQ248_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3756,f200]) ).
fof(f3759,plain,
( ~ sQ18_spl
| ~ sQ248_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3761,plain,
( ~ sQ44_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2823,f631,f663]) ).
fof(f3763,plain,
( ~ sQ44_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f2818,f823,f663]) ).
fof(f3765,plain,
( ~ sQ55_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3614,f619,f699]) ).
fof(f3769,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3619,f731,f699]) ).
fof(f3783,plain,
( ~ sQ245_spl
| ~ sQ47_spl
| op(e2,e4) = e1 ),
inference(forward_demodulation,[status(thm)],[f674,f1489]) ).
fof(f3797,plain,
( ~ sQ245_spl
| ~ sQ47_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f3783,f1854]) ).
fof(f3798,plain,
( ~ sQ245_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3797,f200]) ).
fof(f3799,plain,
( ~ sQ245_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3798]) ).
fof(f3802,plain,
( ~ sQ238_spl
| ~ sQ55_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f700,f1458]) ).
fof(f3803,plain,
( ~ sQ238_spl
| ~ sQ55_spl
| ~ sQ257_spl
| ~ sQ26_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f3452,f3802]) ).
fof(f3804,plain,
( ~ sQ238_spl
| ~ sQ55_spl
| ~ sQ257_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3803,f199]) ).
fof(f3805,plain,
( ~ sQ238_spl
| ~ sQ55_spl
| ~ sQ257_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3804]) ).
fof(f3808,plain,
( ~ sQ163_spl
| ~ sQ117_spl
| op(e2,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f898,f1123]) ).
fof(f3809,plain,
( ~ sQ163_spl
| ~ sQ117_spl
| ~ sQ66_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f735,f3808]) ).
fof(f3810,plain,
( ~ sQ163_spl
| ~ sQ117_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3809,f201]) ).
fof(f3811,plain,
( ~ sQ163_spl
| ~ sQ117_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f3810]) ).
fof(f3817,plain,
( ~ sQ221_spl
| ~ sQ82_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f786,f1382]) ).
fof(f3818,plain,
( ~ sQ221_spl
| ~ sQ82_spl
| ~ sQ55_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f700,f3817]) ).
fof(f3819,plain,
( ~ sQ221_spl
| ~ sQ82_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3818,f197]) ).
fof(f3820,plain,
( ~ sQ221_spl
| ~ sQ82_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3819]) ).
fof(f3823,plain,
( ~ sQ217_spl
| ~ sQ85_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f796,f1365]) ).
fof(f3824,plain,
( ~ sQ217_spl
| ~ sQ85_spl
| ~ sQ125_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f3460,f3823]) ).
fof(f3825,plain,
( ~ sQ217_spl
| ~ sQ85_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3824,f202]) ).
fof(f3826,plain,
( ~ sQ217_spl
| ~ sQ85_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3825]) ).
fof(f3827,plain,
( ~ sQ210_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f3114,f676,f1333]) ).
fof(f3830,plain,
( ~ sQ203_spl
| ~ sQ108_spl
| op(e3,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f869,f1303]) ).
fof(f3831,plain,
( ~ sQ203_spl
| ~ sQ108_spl
| ~ sQ82_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f786,f3830]) ).
fof(f3832,plain,
( ~ sQ203_spl
| ~ sQ108_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3831,f203]) ).
fof(f3833,plain,
( ~ sQ203_spl
| ~ sQ108_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3832]) ).
fof(f3836,plain,
( ~ sQ181_spl
| ~ sQ111_spl
| op(e1,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f879,f1202]) ).
fof(f3837,plain,
( ~ sQ181_spl
| ~ sQ111_spl
| ~ sQ38_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f645,f3836]) ).
fof(f3838,plain,
( ~ sQ181_spl
| ~ sQ111_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3837,f204]) ).
fof(f3839,plain,
( ~ sQ181_spl
| ~ sQ111_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3838]) ).
fof(f3840,plain,
( sQ140_spl
| ~ sQ178_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3368,f884,f1188,f1025]) ).
fof(f3841,plain,
( ~ sQ126_spl
| ~ sQ82_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f786,f2968]) ).
fof(f3842,plain,
( ~ sQ126_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3841,f202]) ).
fof(f3843,plain,
( ~ sQ126_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3842]) ).
fof(f3847,plain,
( ~ sQ126_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2905,f638,f926]) ).
fof(f3850,plain,
( ~ sQ117_spl
| op(e4,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f898,f187]) ).
fof(f3857,plain,
( ~ sQ163_spl
| ~ sQ117_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f3808,f743,f897,f1122]) ).
fof(f3962,plain,
( ~ sQ117_spl
| ~ sQ206_spl
| op(e0,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f1316,f3850]) ).
fof(f3968,plain,
( ~ sQ117_spl
| ~ sQ206_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3962,f593,f1315,f897]) ).
fof(f3969,plain,
$false,
inference(sat_refutation,[status(thm)],[f586,f650,f666,f698,f714,f746,f810,f906,f938,f944,f945,f946,f947,f948,f949,f950,f954,f955,f956,f957,f962,f966,f967,f970,f977,f983,f984,f985,f988,f999,f1021,f1028,f1032,f1039,f1040,f1047,f1059,f1085,f1098,f1099,f1100,f1108,f1112,f1113,f1121,f1125,f1142,f1164,f1165,f1174,f1178,f1180,f1187,f1191,f1192,f1193,f1200,f1204,f1209,f1217,f1222,f1247,f1251,f1274,f1287,f1291,f1293,f1301,f1305,f1310,f1318,f1322,f1326,f1327,f1336,f1341,f1349,f1355,f1363,f1367,f1371,f1372,f1373,f1380,f1384,f1388,f1389,f1397,f1401,f1405,f1406,f1415,f1420,f1425,f1433,f1434,f1435,f1442,f1448,f1456,f1460,f1465,f1473,f1482,f1487,f1491,f1496,f1501,f1505,f1509,f1510,f1511,f1515,f1519,f1524,f1532,f1538,f1546,f1555,f1560,f1564,f1568,f1569,f1570,f1574,f1578,f1582,f1583,f1584,f1588,f1596,f1597,f1602,f1616,f1624,f1626,f1628,f1630,f1632,f1685,f1712,f1717,f1756,f1759,f1770,f1773,f1778,f1789,f1802,f1805,f1842,f1880,f1890,f1902,f1911,f1926,f1956,f1958,f1960,f1963,f1970,f1974,f1977,f1990,f2016,f2035,f2040,f2052,f2057,f2069,f2071,f2074,f2077,f2082,f2091,f2113,f2123,f2127,f2130,f2131,f2140,f2192,f2195,f2216,f2217,f2236,f2239,f2242,f2243,f2254,f2257,f2260,f2271,f2274,f2275,f2276,f2279,f2280,f2281,f2283,f2298,f2310,f2311,f2312,f2349,f2357,f2361,f2365,f2369,f2373,f2387,f2419,f2422,f2424,f2443,f2446,f2457,f2460,f2461,f2464,f2466,f2467,f2469,f2471,f2472,f2474,f2477,f2479,f2481,f2485,f2486,f2498,f2499,f2500,f2501,f2502,f2503,f2505,f2507,f2514,f2524,f2525,f2588,f2594,f2607,f2609,f2612,f2615,f2629,f2633,f2641,f2647,f2667,f2676,f2683,f2710,f2727,f2728,f2729,f2735,f2740,f2746,f2749,f2769,f2810,f2813,f2824,f2830,f2832,f2835,f2844,f2847,f2861,f2863,f2865,f2867,f2871,f2874,f2876,f2879,f2880,f2889,f2903,f2917,f2922,f2930,f2932,f2935,f2938,f2939,f2962,f2975,f2976,f2977,f2987,f3040,f3046,f3048,f3052,f3055,f3062,f3069,f3106,f3110,f3113,f3115,f3129,f3154,f3157,f3194,f3203,f3220,f3226,f3235,f3240,f3242,f3244,f3247,f3248,f3251,f3253,f3255,f3334,f3351,f3361,f3367,f3369,f3372,f3376,f3382,f3392,f3397,f3518,f3520,f3529,f3535,f3536,f3550,f3565,f3653,f3729,f3752,f3759,f3761,f3763,f3765,f3769,f3799,f3805,f3811,f3820,f3826,f3827,f3833,f3839,f3840,f3843,f3847,f3857,f3968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG057+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 12:54:35 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.38 % Drodi V4.1.1
% 1.26/0.69 % Refutation found
% 1.26/0.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.26/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.72 % Elapsed time: 0.346262 seconds
% 0.20/0.72 % CPU time: 2.255251 seconds
% 0.20/0.72 % Total memory used: 151.974 MB
% 0.20/0.72 % Net memory used: 151.356 MB
%------------------------------------------------------------------------------