%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG068+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:00 AM UTC 2026
% Result : Theorem 0.15s 5.66s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 214
% Syntax : Number of formulae : 1100 ( 134 unt; 207 def)
% Number of atoms : 4435 (2691 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 5503 (2168 ~;1994 |;1111 &)
% ( 230 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 209 ( 207 usr; 208 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) ) )
& ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = 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(f18,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = 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(f21,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = 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(f28,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(f33,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(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(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(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(f64,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f66,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 ),
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(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f124,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f137,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f138,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f139,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f140,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f141,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f142,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f143,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f144,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f145,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f149,plain,
op(e0,e1) != op(e0,e2),
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(f157,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e4),
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(f162,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f163,plain,
op(e1,e2) != 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(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(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(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(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(f183,plain,
op(e3,e2) != 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(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(e4,e2),op(e4,e2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,definition,
( sP0_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,[sP0_prd])],[]) ).
fof(f209,plain,
( ( ( op(op(e4,e4),e4) != e4
& op(op(e4,e4),e4) = e4
& op(e4,e4) != op(e4,e4) )
| sP0_prd )
& ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
inference(formula_renaming,[status(thm)],[f8,f208]) ).
fof(f211,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f212,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f213,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f214,plain,
( op(e0,e4) = e0
| op(e0,e0) != e4 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f215,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f217,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f218,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f220,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f223,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f224,plain,
( op(e2,e4) = e2
| op(e2,e2) != e4 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f226,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f227,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f229,plain,
( op(e3,e4) = e3
| op(e3,e3) != e4 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f230,plain,
( op(e4,e0) = e4
| op(e4,e4) != e0 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f232,plain,
( op(e4,e2) = e4
| op(e4,e4) != e2 ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f235,plain,
( op(e4,e4) != op(e4,e4)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f238,definition,
( sP1_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,[sP1_prd])],[]) ).
fof(f239,plain,
( sP0_prd
<=> ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f208,f238]) ).
fof(f240,plain,
( ( ( ( op(op(e4,e3),e4) = e3
| op(op(e4,e3),e3) != e4
| op(e3,e4) = op(e4,e3) )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
( op(e3,e4) != op(e4,e3)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
( op(op(e4,e3),e3) = e4
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f243,plain,
( op(op(e4,e3),e4) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f246,definition,
( sP2_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,[sP2_prd])],[]) ).
fof(f247,plain,
( sP1_prd
<=> ( ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f238,f246]) ).
fof(f248,plain,
( ( ( ( op(op(e4,e2),e4) = e2
| op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2) )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f247]) ).
fof(f250,plain,
( op(op(e4,e2),e2) = e4
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f252,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f254,definition,
( sP3_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,[sP3_prd])],[]) ).
fof(f255,plain,
( sP2_prd
<=> ( ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f246,f254]) ).
fof(f256,plain,
( ( ( ( op(op(e4,e1),e4) = e1
| op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1) )
& ~ sP3_prd )
| sP2_prd )
& ( ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( op(e1,e4) != op(e4,e1)
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
( op(op(e4,e1),e1) = e4
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f259,plain,
( op(op(e4,e1),e4) != e1
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f260,plain,
( ~ sP3_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f262,definition,
( sP4_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,[sP4_prd])],[]) ).
fof(f263,plain,
( sP3_prd
<=> ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f254,f262]) ).
fof(f264,plain,
( ( ( ( op(op(e4,e0),e4) = e0
| op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0) )
& ~ sP4_prd )
| sP3_prd )
& ( ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
( op(e0,e4) != op(e4,e0)
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f268,plain,
( ~ sP4_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f270,definition,
( sP5_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,[sP5_prd])],[]) ).
fof(f271,plain,
( sP4_prd
<=> ( ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f262,f270]) ).
fof(f272,plain,
( ( ( ( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4) )
& ~ sP5_prd )
| sP4_prd )
& ( ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
( op(e4,e3) != op(e3,e4)
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
( op(op(e3,e4),e4) = e3
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f275,plain,
( op(op(e3,e4),e3) != e4
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f276,plain,
( ~ sP5_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f277,plain,
( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f278,definition,
( sP6_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,[sP6_prd])],[]) ).
fof(f279,plain,
( sP5_prd
<=> ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f270,f278]) ).
fof(f280,plain,
( ( ( ( op(op(e3,e3),e3) = e3
| op(op(e3,e3),e3) != e3
| op(e3,e3) = op(e3,e3) )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,e3) != op(e3,e3) )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
( op(e3,e3) != op(e3,e3)
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f284,plain,
( ~ sP6_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f286,definition,
( sP7_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,[sP7_prd])],[]) ).
fof(f287,plain,
( sP6_prd
<=> ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f278,f286]) ).
fof(f288,plain,
( ( ( ( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2) )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
( op(e2,e3) != op(e3,e2)
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
( op(op(e3,e2),e2) = e3
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f291,plain,
( op(op(e3,e2),e3) != e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f292,plain,
( ~ sP7_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f294,definition,
( sP8_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,[sP8_prd])],[]) ).
fof(f295,plain,
( sP7_prd
<=> ( ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f286,f294]) ).
fof(f296,plain,
( ( ( ( op(op(e3,e1),e3) = e1
| op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1) )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f297,plain,
( op(e1,e3) != op(e3,e1)
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f299,plain,
( op(op(e3,e1),e3) != e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f300,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f302,definition,
( sP9_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,[sP9_prd])],[]) ).
fof(f303,plain,
( sP8_prd
<=> ( ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f294,f302]) ).
fof(f304,plain,
( ( ( ( op(op(e3,e0),e3) = e0
| op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0) )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f303]) ).
fof(f305,plain,
( op(e0,e3) != op(e3,e0)
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f308,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f310,definition,
( sP10_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,[sP10_prd])],[]) ).
fof(f311,plain,
( sP9_prd
<=> ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f302,f310]) ).
fof(f312,plain,
( ( ( ( op(op(e2,e4),e2) = e4
| op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4) )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f311]) ).
fof(f314,plain,
( op(op(e2,e4),e4) = e2
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f316,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f318,definition,
( sP11_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,[sP11_prd])],[]) ).
fof(f319,plain,
( sP10_prd
<=> ( ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f310,f318]) ).
fof(f320,plain,
( ( ( ( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3) )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( op(e3,e2) != op(e2,e3)
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( op(op(e2,e3),e3) = e2
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f323,plain,
( op(op(e2,e3),e2) != e3
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f324,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f325,plain,
( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f326,definition,
( sP12_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,[sP12_prd])],[]) ).
fof(f327,plain,
( sP11_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f318,f326]) ).
fof(f328,plain,
( ( ( ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,e2) = op(e2,e2) )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,e2) != op(e2,e2) )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f327]) ).
fof(f329,plain,
( op(e2,e2) != op(e2,e2)
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f328]) ).
fof(f332,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f328]) ).
fof(f334,definition,
( sP13_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,[sP13_prd])],[]) ).
fof(f335,plain,
( sP12_prd
<=> ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f326,f334]) ).
fof(f336,plain,
( ( ( ( op(op(e2,e1),e2) = e1
| op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1) )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
( op(e1,e2) != op(e2,e1)
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( op(op(e2,e1),e1) = e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f339,plain,
( op(op(e2,e1),e2) != e1
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f340,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f342,definition,
( sP14_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,[sP14_prd])],[]) ).
fof(f343,plain,
( sP13_prd
<=> ( ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f334,f342]) ).
fof(f344,plain,
( ( ( ( op(op(e2,e0),e2) = e0
| op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0) )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f343]) ).
fof(f345,plain,
( op(e0,e2) != op(e2,e0)
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f346,plain,
( op(op(e2,e0),e0) = e2
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f347,plain,
( op(op(e2,e0),e2) != e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f348,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f349,plain,
( op(op(e2,e0),e2) = e0
| op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f350,definition,
( sP15_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,[sP15_prd])],[]) ).
fof(f351,plain,
( sP14_prd
<=> ( ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f342,f350]) ).
fof(f352,plain,
( ( ( ( op(op(e1,e4),e1) = e4
| op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4) )
& ~ sP15_prd )
| sP14_prd )
& ( ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) )
| sP15_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( op(e4,e1) != op(e1,e4)
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f354,plain,
( op(op(e1,e4),e4) = e1
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f355,plain,
( op(op(e1,e4),e1) != e4
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f356,plain,
( ~ sP15_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f357,plain,
( op(op(e1,e4),e1) = e4
| op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f358,definition,
( sP16_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,[sP16_prd])],[]) ).
fof(f359,plain,
( sP15_prd
<=> ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f350,f358]) ).
fof(f360,plain,
( ( ( ( op(op(e1,e3),e1) = e3
| op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3) )
& ~ sP16_prd )
| sP15_prd )
& ( ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) )
| sP16_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f359]) ).
fof(f361,plain,
( op(e3,e1) != op(e1,e3)
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f363,plain,
( op(op(e1,e3),e1) != e3
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f364,plain,
( ~ sP16_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f366,definition,
( sP17_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,[sP17_prd])],[]) ).
fof(f367,plain,
( sP16_prd
<=> ( ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f358,f366]) ).
fof(f368,plain,
( ( ( ( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2) )
& ~ sP17_prd )
| sP16_prd )
& ( ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) )
| sP17_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f367]) ).
fof(f369,plain,
( op(e2,e1) != op(e1,e2)
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f370,plain,
( op(op(e1,e2),e2) = e1
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f371,plain,
( op(op(e1,e2),e1) != e2
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f372,plain,
( ~ sP17_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f373,plain,
( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,definition,
( sP18_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,[sP18_prd])],[]) ).
fof(f375,plain,
( sP17_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f366,f374]) ).
fof(f376,plain,
( ( ( ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,e1) = op(e1,e1) )
& ~ sP18_prd )
| sP17_prd )
& ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,e1) != op(e1,e1) )
| sP18_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f375]) ).
fof(f377,plain,
( op(e1,e1) != op(e1,e1)
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f380,plain,
( ~ sP18_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f382,definition,
( sP19_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,[sP19_prd])],[]) ).
fof(f383,plain,
( sP18_prd
<=> ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f374,f382]) ).
fof(f384,plain,
( ( ( ( op(op(e1,e0),e1) = e0
| op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0) )
& ~ sP19_prd )
| sP18_prd )
& ( ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) )
| sP19_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e0,e1) != op(e1,e0)
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( ~ sP19_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,definition,
( sP20_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,[sP20_prd])],[]) ).
fof(f391,plain,
( sP19_prd
<=> ( ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f390]) ).
fof(f392,plain,
( ( ( ( op(op(e0,e4),e0) = e4
| op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4) )
& ~ sP20_prd )
| sP19_prd )
& ( ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) )
| sP20_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(e4,e0) != op(e0,e4)
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( ~ sP20_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,definition,
( sP21_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,[sP21_prd])],[]) ).
fof(f399,plain,
( sP20_prd
<=> ( ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f390,f398]) ).
fof(f400,plain,
( ( ( ( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3) )
& ~ sP21_prd )
| sP20_prd )
& ( ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) )
| sP21_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f399]) ).
fof(f401,plain,
( op(e3,e0) != op(e0,e3)
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f404,plain,
( ~ sP21_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f406,definition,
( sP22_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,[sP22_prd])],[]) ).
fof(f407,plain,
( sP21_prd
<=> ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f398,f406]) ).
fof(f408,plain,
( ( ( ( op(op(e0,e2),e0) = e2
| op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2) )
& ~ sP22_prd )
| sP21_prd )
& ( ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) )
| sP22_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f407]) ).
fof(f409,plain,
( op(e2,e0) != op(e0,e2)
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f410,plain,
( op(op(e0,e2),e2) = e0
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f411,plain,
( op(op(e0,e2),e0) != e2
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f412,plain,
( ~ sP22_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f413,plain,
( op(op(e0,e2),e0) = e2
| op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f414,definition,
( sP23_prd
<=> ( 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(f415,plain,
( sP22_prd
<=> ( ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f406,f414]) ).
fof(f416,plain,
( ( ( ( op(op(e0,e1),e0) = e1
| op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1) )
& ~ sP23_prd )
| sP22_prd )
& ( ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) )
| sP23_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
( op(e1,e0) != op(e0,e1)
| sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
( ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,e0) = op(e0,e0)
| sP23_prd )
& ( ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,e0) != op(e0,e0) )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f414]) ).
fof(f423,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f427,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f430,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f433,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f436,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f439,definition,
( sQ4_spl
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f9,f427,f430,f433,f436,f439]) ).
fof(f443,definition,
( sQ5_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ7_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ7_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f455,definition,
( sQ9_spl
<=> op(e0,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f459,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ11_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ11_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ12_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ12_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f471,definition,
( sQ14_spl
<=> op(e0,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ14_spl
| op(e0,e2) = e4 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f475,definition,
( sQ15_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ16_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f484,definition,
( sQ18_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ18_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ19_spl
<=> op(e0,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ19_spl
| op(e0,e3) = e4 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f491,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ21_spl
<=> op(e0,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ21_spl
| op(e0,e4) = e1 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ22_spl
<=> op(e0,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f500,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ24_spl
| op(e0,e4) != e4 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f13,f491,f494,f497,f500,f503]) ).
fof(f507,definition,
( sQ25_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ25_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f519,definition,
( sQ29_spl
<=> op(e1,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ29_spl
| op(e1,e0) = e4 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f523,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ30_spl
| op(e1,e1) != e0 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f532,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f535,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ34_spl
| op(e1,e1) = e4 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f539,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f548,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ39_spl
<=> op(e1,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f16,f539,f542,f545,f548,f551]) ).
fof(f555,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ41_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f564,definition,
( sQ43_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f567,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f17,f555,f558,f561,f564,f567]) ).
fof(f571,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ45_spl
| op(e1,e4) = e0 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f577,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f18,f571,f574,f577,f580,f583]) ).
fof(f593,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ54_spl
<=> op(e2,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ54_spl
| op(e2,e0) = e4 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f603,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f20,f603,f606,f609,f612,f615]) ).
fof(f619,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f631,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f21,f619,f622,f625,f628,f631]) ).
fof(f635,definition,
( sQ65_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ65_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ66_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ66_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ67_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ69_spl
<=> op(e2,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ69_spl
| op(e2,e3) = e4 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f651,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ70_spl
| op(e2,e4) = e0 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ71_spl
<=> op(e2,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ71_spl
| op(e2,e4) = e1 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f662,plain,
( sQ73_spl
| op(e2,e4) != e3 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ74_spl
<=> op(e2,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ74_spl
| op(e2,e4) = e4 ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f676,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ79_spl
<=> op(e3,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ79_spl
| op(e3,e0) = e4 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f683,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f689,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ83_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f699,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ86_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ86_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( sQ86_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ87_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f708,definition,
( sQ88_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ88_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ89_spl
<=> op(e3,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ89_spl
| op(e3,e2) = e4 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f26,f699,f702,f705,f708,f711]) ).
fof(f715,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ91_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ92_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f724,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,definition,
( sQ94_spl
<=> op(e3,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f731,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ96_spl
<=> op(e3,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ96_spl
| op(e3,e4) = e1 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f740,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ98_spl
| op(e3,e4) = e3 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ99_spl
<=> op(e3,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ99_spl
| op(e3,e4) = e4 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f28,f731,f734,f737,f740,f743]) ).
fof(f750,definition,
( sQ101_spl
<=> op(e4,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ101_spl
| op(e4,e0) = e1 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f759,definition,
( sQ104_spl
<=> op(e4,e0) = e4 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ104_spl
| op(e4,e0) = e4 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f763,definition,
( sQ105_spl
<=> op(e4,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ105_spl
| op(e4,e1) = e0 ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f765,plain,
( sQ105_spl
| op(e4,e1) != e0 ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ106_spl
<=> op(e4,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ106_spl
| op(e4,e1) = e1 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f30,f763,f766,f769,f772,f775]) ).
fof(f779,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ110_spl
| op(e4,e2) = e0 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,definition,
( sQ111_spl
<=> op(e4,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f785,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ114_spl
<=> op(e4,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ114_spl
| op(e4,e2) = e4 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f31,f779,f782,f785,f788,f791]) ).
fof(f795,definition,
( sQ115_spl
<=> op(e4,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f798,definition,
( sQ116_spl
<=> op(e4,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ116_spl
| op(e4,e3) = e1 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,definition,
( sQ117_spl
<=> op(e4,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ117_spl
| op(e4,e3) = e2 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ118_spl
<=> op(e4,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f807,definition,
( sQ119_spl
<=> op(e4,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ119_spl
| op(e4,e3) = e4 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f32,f795,f798,f801,f804,f807]) ).
fof(f811,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ121_spl
| op(e4,e4) = e1 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,definition,
( sQ122_spl
<=> op(e4,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f820,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ124_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ124_spl
| op(e4,e4) = e4 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f33,f811,f814,f817,f820,f823]) ).
fof(f827,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ125_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ129_spl
| unit = e4 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f44,f827,f830,f833,f836,f839]) ).
fof(f845,plain,
( sQ21_spl
| sQ16_spl
| sQ11_spl
| sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f47,f430,f446,f462,f478,f494]) ).
fof(f852,plain,
( sQ104_spl
| sQ79_spl
| sQ54_spl
| sQ29_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f54,f439,f519,f599,f679,f759]) ).
fof(f858,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f60,f449,f529,f609,f689,f769]) ).
fof(f860,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f62,f452,f532,f612,f692,f772]) ).
fof(f862,plain,
( sQ109_spl
| sQ84_spl
| sQ59_spl
| sQ34_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f64,f455,f535,f615,f695,f775]) ).
fof(f864,plain,
( sQ110_spl
| sQ85_spl
| sQ60_spl
| sQ35_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f66,f459,f539,f619,f699,f779]) ).
fof(f872,plain,
( sQ114_spl
| sQ89_spl
| sQ64_spl
| sQ39_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f74,f471,f551,f631,f711,f791]) ).
fof(f876,plain,
( sQ116_spl
| sQ91_spl
| sQ66_spl
| sQ41_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f78,f478,f558,f638,f718,f798]) ).
fof(f882,plain,
( sQ119_spl
| sQ94_spl
| sQ69_spl
| sQ44_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f84,f487,f567,f647,f727,f807]) ).
fof(f884,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f86,f491,f571,f651,f731,f811]) ).
fof(f886,plain,
( sQ121_spl
| sQ96_spl
| sQ71_spl
| sQ46_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f88,f494,f574,f654,f734,f814]) ).
fof(f887,plain,
( sQ122_spl
| sQ117_spl
| sQ112_spl
| sQ107_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f89,f753,f769,f785,f801,f817]) ).
fof(f894,plain,
( sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f211,f430,f443]) ).
fof(f895,plain,
( sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f212,f433,f459]) ).
fof(f896,plain,
( sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f213,f436,f475]) ).
fof(f897,plain,
( sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f214,f439,f491]) ).
fof(f898,plain,
( sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f215,f523,f510]) ).
fof(f900,plain,
( sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f217,f529,f542]) ).
fof(f901,plain,
( sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f218,f532,f558]) ).
fof(f903,plain,
( sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f220,f619,f593]) ).
fof(f906,plain,
( sQ67_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f223,f628,f641]) ).
fof(f907,plain,
( sQ72_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f224,f631,f657]) ).
fof(f909,plain,
( sQ83_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f226,f718,f692]) ).
fof(f910,plain,
( sQ88_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f227,f721,f708]) ).
fof(f912,plain,
( sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f229,f727,f740]) ).
fof(f913,plain,
( sQ104_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f230,f811,f759]) ).
fof(f915,plain,
( sQ114_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f232,f817,f791]) ).
fof(f918,definition,
( sQ130_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f921,definition,
( sQ131_spl
<=> op(e4,e4) = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( sQ131_spl
| op(e4,e4) != op(e4,e4) ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,plain,
( ~ sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f235,f918,f921]) ).
fof(f930,definition,
( sQ133_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f933,definition,
( sQ134_spl
<=> op(e3,e4) = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ134_spl
| op(e3,e4) = op(e4,e3) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f935,plain,
( sQ134_spl
| op(e3,e4) != op(e4,e3) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( ~ sQ134_spl
| sQ133_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f241,f918,f930,f933]) ).
fof(f937,definition,
( sQ135_spl
<=> op(op(e4,e3),e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( sQ135_spl
| sQ133_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f242,f918,f930,f937]) ).
fof(f941,definition,
( sQ136_spl
<=> op(op(e4,e3),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( sQ136_spl
| op(op(e4,e3),e4) != e3 ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ136_spl
| sQ133_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f243,f918,f930,f941]) ).
fof(f947,definition,
( sQ137_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f950,definition,
( sQ138_spl
<=> op(e2,e4) = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( ~ sQ138_spl
| op(e2,e4) = op(e4,e2) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f954,definition,
( sQ139_spl
<=> op(op(e4,e2),e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ139_spl
| op(op(e4,e2),e2) = e4 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( sQ139_spl
| sQ137_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f250,f930,f947,f954]) ).
fof(f962,plain,
( ~ sQ137_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f252,f930,f947]) ).
fof(f964,definition,
( sQ141_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f967,definition,
( sQ142_spl
<=> op(e1,e4) = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ142_spl
| op(e1,e4) = op(e4,e1) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f969,plain,
( sQ142_spl
| op(e1,e4) != op(e4,e1) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,plain,
( ~ sQ142_spl
| sQ141_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f257,f947,f964,f967]) ).
fof(f971,definition,
( sQ143_spl
<=> op(op(e4,e1),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ143_spl
| sQ141_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f258,f947,f964,f971]) ).
fof(f975,definition,
( sQ144_spl
<=> op(op(e4,e1),e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( sQ144_spl
| op(op(e4,e1),e4) != e1 ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,plain,
( ~ sQ144_spl
| sQ141_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f259,f947,f964,f975]) ).
fof(f979,plain,
( ~ sQ141_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f260,f947,f964]) ).
fof(f981,definition,
( sQ145_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f984,definition,
( sQ146_spl
<=> op(e0,e4) = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ146_spl
| op(e0,e4) = op(e4,e0) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( sQ146_spl
| op(e0,e4) != op(e4,e0) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,plain,
( ~ sQ146_spl
| sQ145_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f265,f964,f981,f984]) ).
fof(f996,plain,
( ~ sQ145_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f268,f964,f981]) ).
fof(f998,definition,
( sQ149_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ134_spl
| sQ149_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f273,f981,f998,f933]) ).
fof(f1002,definition,
( sQ150_spl
<=> op(op(e3,e4),e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ150_spl
| op(op(e3,e4),e4) = e3 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( sQ150_spl
| sQ149_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f274,f981,f998,f1002]) ).
fof(f1006,definition,
( sQ151_spl
<=> op(op(e3,e4),e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( ~ sQ151_spl
| sQ149_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f275,f981,f998,f1006]) ).
fof(f1010,plain,
( ~ sQ149_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f276,f981,f998]) ).
fof(f1011,plain,
( sQ151_spl
| ~ sQ150_spl
| sQ134_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f277,f981,f933,f1002,f1006]) ).
fof(f1012,definition,
( sQ152_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1015,definition,
( sQ153_spl
<=> op(e3,e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( sQ153_spl
| op(e3,e3) != op(e3,e3) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( ~ sQ153_spl
| sQ152_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f281,f998,f1012,f1015]) ).
fof(f1024,plain,
( ~ sQ152_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f284,f998,f1012]) ).
fof(f1026,definition,
( sQ155_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1029,definition,
( sQ156_spl
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ156_spl
| op(e2,e3) = op(e3,e2) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( ~ sQ156_spl
| sQ155_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f289,f1012,f1026,f1029]) ).
fof(f1033,definition,
( sQ157_spl
<=> op(op(e3,e2),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( ~ sQ157_spl
| op(op(e3,e2),e2) = e3 ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,plain,
( sQ157_spl
| sQ155_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f290,f1012,f1026,f1033]) ).
fof(f1037,definition,
( sQ158_spl
<=> op(op(e3,e2),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ158_spl
| sQ155_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f291,f1012,f1026,f1037]) ).
fof(f1041,plain,
( ~ sQ155_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f292,f1012,f1026]) ).
fof(f1043,definition,
( sQ159_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1046,definition,
( sQ160_spl
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ160_spl
| op(e1,e3) = op(e3,e1) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1048,plain,
( sQ160_spl
| op(e1,e3) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,plain,
( ~ sQ160_spl
| sQ159_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f297,f1026,f1043,f1046]) ).
fof(f1050,definition,
( sQ161_spl
<=> op(op(e3,e1),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( ~ sQ161_spl
| op(op(e3,e1),e1) = e3 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1052,plain,
( sQ161_spl
| op(op(e3,e1),e1) != e3 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1054,definition,
( sQ162_spl
<=> op(op(e3,e1),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( sQ162_spl
| op(op(e3,e1),e3) != e1 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,plain,
( ~ sQ162_spl
| sQ159_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f299,f1026,f1043,f1054]) ).
fof(f1058,plain,
( ~ sQ159_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f300,f1026,f1043]) ).
fof(f1060,definition,
( sQ163_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1063,definition,
( sQ164_spl
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ164_spl
| op(e0,e3) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1065,plain,
( sQ164_spl
| op(e0,e3) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,plain,
( ~ sQ164_spl
| sQ163_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f305,f1043,f1060,f1063]) ).
fof(f1075,plain,
( ~ sQ163_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f308,f1043,f1060]) ).
fof(f1077,definition,
( sQ167_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1081,definition,
( sQ168_spl
<=> op(op(e2,e4),e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1082,plain,
( ~ sQ168_spl
| op(op(e2,e4),e4) = e2 ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,plain,
( sQ168_spl
| sQ167_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f314,f1060,f1077,f1081]) ).
fof(f1089,plain,
( ~ sQ167_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f316,f1060,f1077]) ).
fof(f1091,definition,
( sQ170_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
( ~ sQ156_spl
| sQ170_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f321,f1077,f1091,f1029]) ).
fof(f1095,definition,
( sQ171_spl
<=> op(op(e2,e3),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( sQ171_spl
| sQ170_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f322,f1077,f1091,f1095]) ).
fof(f1099,definition,
( sQ172_spl
<=> op(op(e2,e3),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
( sQ172_spl
| op(op(e2,e3),e2) != e3 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,plain,
( ~ sQ172_spl
| sQ170_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f323,f1077,f1091,f1099]) ).
fof(f1103,plain,
( ~ sQ170_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f324,f1077,f1091]) ).
fof(f1104,plain,
( sQ172_spl
| ~ sQ171_spl
| sQ156_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f325,f1077,f1029,f1095,f1099]) ).
fof(f1105,definition,
( sQ173_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1108,definition,
( sQ174_spl
<=> op(e2,e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
( sQ174_spl
| op(e2,e2) != op(e2,e2) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( ~ sQ174_spl
| sQ173_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f329,f1091,f1105,f1108]) ).
fof(f1117,plain,
( ~ sQ173_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f332,f1091,f1105]) ).
fof(f1119,definition,
( sQ176_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1122,definition,
( sQ177_spl
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ177_spl
| sQ176_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f337,f1105,f1119,f1122]) ).
fof(f1126,definition,
( sQ178_spl
<=> op(op(e2,e1),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ178_spl
| op(op(e2,e1),e1) = e2 ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1128,plain,
( sQ178_spl
| op(op(e2,e1),e1) != e2 ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( sQ178_spl
| sQ176_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f338,f1105,f1119,f1126]) ).
fof(f1130,definition,
( sQ179_spl
<=> op(op(e2,e1),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ179_spl
| sQ176_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f339,f1105,f1119,f1130]) ).
fof(f1134,plain,
( ~ sQ176_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f340,f1105,f1119]) ).
fof(f1136,definition,
( sQ180_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1139,definition,
( sQ181_spl
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ181_spl
| op(e0,e2) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( sQ181_spl
| op(e0,e2) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( ~ sQ181_spl
| sQ180_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f345,f1119,f1136,f1139]) ).
fof(f1143,definition,
( sQ182_spl
<=> op(op(e2,e0),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( ~ sQ182_spl
| op(op(e2,e0),e0) = e2 ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1145,plain,
( sQ182_spl
| op(op(e2,e0),e0) != e2 ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1146,plain,
( sQ182_spl
| sQ180_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f346,f1119,f1136,f1143]) ).
fof(f1147,definition,
( sQ183_spl
<=> op(op(e2,e0),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1150,plain,
( ~ sQ183_spl
| sQ180_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f347,f1119,f1136,f1147]) ).
fof(f1151,plain,
( ~ sQ180_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f348,f1119,f1136]) ).
fof(f1152,plain,
( sQ183_spl
| ~ sQ182_spl
| sQ181_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f349,f1119,f1139,f1143,f1147]) ).
fof(f1153,definition,
( sQ184_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
( ~ sQ142_spl
| sQ184_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f353,f1136,f1153,f967]) ).
fof(f1157,definition,
( sQ185_spl
<=> op(op(e1,e4),e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
( sQ185_spl
| sQ184_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f354,f1136,f1153,f1157]) ).
fof(f1161,definition,
( sQ186_spl
<=> op(op(e1,e4),e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ186_spl
| op(op(e1,e4),e1) = e4 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1163,plain,
( sQ186_spl
| op(op(e1,e4),e1) != e4 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( ~ sQ186_spl
| sQ184_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f355,f1136,f1153,f1161]) ).
fof(f1165,plain,
( ~ sQ184_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f356,f1136,f1153]) ).
fof(f1166,plain,
( sQ186_spl
| ~ sQ185_spl
| sQ142_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f357,f1136,f967,f1157,f1161]) ).
fof(f1167,definition,
( sQ187_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1170,plain,
( ~ sQ160_spl
| sQ187_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f361,f1153,f1167,f1046]) ).
fof(f1175,definition,
( sQ189_spl
<=> op(op(e1,e3),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( ~ sQ189_spl
| op(op(e1,e3),e1) = e3 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1177,plain,
( sQ189_spl
| op(op(e1,e3),e1) != e3 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( ~ sQ189_spl
| sQ187_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f363,f1153,f1167,f1175]) ).
fof(f1179,plain,
( ~ sQ187_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f364,f1153,f1167]) ).
fof(f1181,definition,
( sQ190_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( ~ sQ177_spl
| sQ190_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f369,f1167,f1181,f1122]) ).
fof(f1185,definition,
( sQ191_spl
<=> op(op(e1,e2),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( sQ191_spl
| sQ190_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f370,f1167,f1181,f1185]) ).
fof(f1189,definition,
( sQ192_spl
<=> op(op(e1,e2),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( sQ192_spl
| op(op(e1,e2),e1) != e2 ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1192,plain,
( ~ sQ192_spl
| sQ190_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f371,f1167,f1181,f1189]) ).
fof(f1193,plain,
( ~ sQ190_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f372,f1167,f1181]) ).
fof(f1194,plain,
( sQ192_spl
| ~ sQ191_spl
| sQ177_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f373,f1167,f1122,f1185,f1189]) ).
fof(f1195,definition,
( sQ193_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1198,definition,
( sQ194_spl
<=> op(e1,e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( sQ194_spl
| op(e1,e1) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,plain,
( ~ sQ194_spl
| sQ193_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f377,f1181,f1195,f1198]) ).
fof(f1207,plain,
( ~ sQ193_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f380,f1181,f1195]) ).
fof(f1209,definition,
( sQ196_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1212,definition,
( sQ197_spl
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
( ~ sQ197_spl
| op(e0,e1) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1214,plain,
( sQ197_spl
| op(e0,e1) != op(e1,e0) ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,plain,
( ~ sQ197_spl
| sQ196_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f385,f1195,f1209,f1212]) ).
fof(f1220,definition,
( sQ199_spl
<=> op(op(e1,e0),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( ~ sQ199_spl
| op(op(e1,e0),e1) = e0 ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1222,plain,
( sQ199_spl
| op(op(e1,e0),e1) != e0 ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1224,plain,
( ~ sQ196_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f388,f1195,f1209]) ).
fof(f1226,definition,
( sQ200_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1229,plain,
( ~ sQ146_spl
| sQ200_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f393,f1209,f1226,f984]) ).
fof(f1238,plain,
( ~ sQ200_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f396,f1209,f1226]) ).
fof(f1240,definition,
( sQ203_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ164_spl
| sQ203_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f401,f1226,f1240,f1063]) ).
fof(f1252,plain,
( ~ sQ203_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f404,f1226,f1240]) ).
fof(f1254,definition,
( sQ206_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ181_spl
| sQ206_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f409,f1240,f1254,f1139]) ).
fof(f1258,definition,
( sQ207_spl
<=> op(op(e0,e2),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( sQ207_spl
| sQ206_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f410,f1240,f1254,f1258]) ).
fof(f1262,definition,
( sQ208_spl
<=> op(op(e0,e2),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ208_spl
| op(op(e0,e2),e0) = e2 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( ~ sQ208_spl
| sQ206_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f411,f1240,f1254,f1262]) ).
fof(f1266,plain,
( ~ sQ206_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f412,f1240,f1254]) ).
fof(f1267,plain,
( sQ208_spl
| ~ sQ207_spl
| sQ181_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f413,f1240,f1139,f1258,f1262]) ).
fof(f1268,definition,
( sQ209_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ197_spl
| sQ209_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f417,f1254,f1268,f1212]) ).
fof(f1282,definition,
( sQ212_spl
<=> op(e0,e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1284,plain,
( sQ212_spl
| op(e0,e0) != op(e0,e0) ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,plain,
( ~ sQ212_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f423,f1268,f1282]) ).
fof(f1292,plain,
( sQ194_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1200]) ).
fof(f1293,plain,
sQ194_spl,
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1294,plain,
( sQ174_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1110]) ).
fof(f1295,plain,
sQ174_spl,
inference(contradiction_clause,[status(thm)],[f1294]) ).
fof(f1296,plain,
( sQ153_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1017]) ).
fof(f1297,plain,
sQ153_spl,
inference(contradiction_clause,[status(thm)],[f1296]) ).
fof(f1298,plain,
( sQ131_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f923]) ).
fof(f1299,plain,
sQ131_spl,
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( sQ212_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1284]) ).
fof(f1301,plain,
sQ212_spl,
inference(contradiction_clause,[status(thm)],[f1300]) ).
fof(f1307,plain,
( ~ sQ129_spl
| op(e4,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f840,f38]) ).
fof(f1325,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f828,f43]) ).
fof(f1327,plain,
( ~ sQ125_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f828,f41]) ).
fof(f1328,plain,
( ~ sQ125_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f828,f40]) ).
fof(f1329,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f828,f39]) ).
fof(f1330,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f828,f38]) ).
fof(f1332,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f828,f36]) ).
fof(f1333,plain,
( ~ sQ125_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f828,f35]) ).
fof(f1339,plain,
( ~ sQ129_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f206,f1307]) ).
fof(f1340,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1339,f199]) ).
fof(f1341,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1342,plain,
op(e0,e2) != e1,
inference(forward_demodulation,[status(thm)],[f206,f118]) ).
fof(f1345,plain,
( sQ134_spl
| ~ sQ119_spl
| op(e3,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f808,f935]) ).
fof(f1346,plain,
( ~ sQ114_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f206,f792]) ).
fof(f1347,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f201]) ).
fof(f1348,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1350,plain,
op(e1,e2) != e1,
inference(forward_demodulation,[status(thm)],[f206,f121]) ).
fof(f1353,plain,
op(e2,e2) != e1,
inference(forward_demodulation,[status(thm)],[f206,f123]) ).
fof(f1354,plain,
op(e3,e2) != e1,
inference(forward_demodulation,[status(thm)],[f206,f124]) ).
fof(f1386,plain,
( ~ sQ83_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f693,f107]) ).
fof(f1388,plain,
op(e0,e4) != e3,
inference(forward_demodulation,[status(thm)],[f207,f136]) ).
fof(f1393,plain,
op(e1,e4) != e3,
inference(forward_demodulation,[status(thm)],[f207,f139]) ).
fof(f1394,plain,
( ~ sQ72_spl
| e3 = e2 ),
inference(backward_demodulation,[status(thm)],[f658,f207]) ).
fof(f1395,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1394,f202]) ).
fof(f1396,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1395]) ).
fof(f1399,plain,
( ~ sQ67_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f642,f129]) ).
fof(f1409,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f677,f1064]) ).
fof(f1412,plain,
( ~ sQ181_spl
| ~ sQ52_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f594,f1140]) ).
fof(f1419,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f1350]) ).
fof(f1420,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f1419]) ).
fof(f1423,plain,
( ~ sQ197_spl
| ~ sQ26_spl
| op(e0,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f511,f1213]) ).
fof(f1425,plain,
( ~ sQ20_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f492,f148]) ).
fof(f1427,plain,
( ~ sQ20_spl
| e0 != op(e4,e4) ),
inference(backward_demodulation,[status(thm)],[f492,f138]) ).
fof(f1430,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1409,f150]) ).
fof(f1431,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f492,f151]) ).
fof(f1432,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| ~ sQ15_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f476,f1409]) ).
fof(f1433,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1432,f197]) ).
fof(f1434,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1436,plain,
( sQ164_spl
| ~ sQ78_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f677,f1065]) ).
fof(f1441,plain,
( ~ sQ10_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f460,f149]) ).
fof(f1444,plain,
( ~ sQ208_spl
| ~ sQ10_spl
| op(e0,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f460,f1263]) ).
fof(f1448,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f1431]) ).
fof(f1449,plain,
( ~ sQ5_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1448]) ).
fof(f1450,plain,
( ~ sQ10_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f460,f152]) ).
fof(f1451,plain,
( ~ sQ10_spl
| e0 != op(e0,e4) ),
inference(forward_demodulation,[status(thm)],[f460,f153]) ).
fof(f1452,plain,
( ~ sQ181_spl
| ~ sQ52_spl
| ~ sQ10_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f460,f1412]) ).
fof(f1453,plain,
( ~ sQ181_spl
| ~ sQ52_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f196]) ).
fof(f1454,plain,
( ~ sQ181_spl
| ~ sQ52_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1453]) ).
fof(f1457,plain,
( sQ181_spl
| ~ sQ52_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f594,f1141]) ).
fof(f1458,plain,
( sQ182_spl
| ~ sQ52_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f594,f1145]) ).
fof(f1459,plain,
( sQ182_spl
| ~ sQ52_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f594,f1458]) ).
fof(f1460,plain,
( sQ182_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1459]) ).
fof(f1461,plain,
( sQ182_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( ~ sQ10_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1450,f475,f459]) ).
fof(f1463,plain,
( ~ sQ10_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1451,f491,f459]) ).
fof(f1465,plain,
( ~ sQ146_spl
| ~ sQ104_spl
| op(e0,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f760,f985]) ).
fof(f1470,plain,
( ~ sQ99_spl
| sQ134_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f1345]) ).
fof(f1471,plain,
( ~ sQ99_spl
| sQ134_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1470]) ).
fof(f1481,plain,
( ~ sQ124_spl
| op(e1,e4) != e4 ),
inference(forward_demodulation,[status(thm)],[f824,f141]) ).
fof(f1482,plain,
( ~ sQ146_spl
| ~ sQ104_spl
| e4 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f1465,f135]) ).
fof(f1483,plain,
( ~ sQ26_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f511,f157]) ).
fof(f1484,plain,
( ~ sQ26_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f559,f1483]) ).
fof(f1485,plain,
( ~ sQ26_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1484]) ).
fof(f1486,plain,
( ~ sQ26_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1485]) ).
fof(f1489,plain,
( ~ sQ26_spl
| e1 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f511,f158]) ).
fof(f1490,plain,
( ~ sQ197_spl
| ~ sQ26_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1423,f145]) ).
fof(f1494,plain,
( ~ sQ197_spl
| ~ sQ26_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1490,f430,f510,f1212]) ).
fof(f1496,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f661,f664]) ).
fof(f1497,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1496,f204]) ).
fof(f1498,plain,
( ~ sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1504,plain,
( sQ146_spl
| ~ sQ104_spl
| op(e0,e4) != e4 ),
inference(forward_demodulation,[status(thm)],[f760,f986]) ).
fof(f1510,plain,
( ~ sQ113_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f206,f789]) ).
fof(f1511,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1510,f200]) ).
fof(f1512,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f1511]) ).
fof(f1517,plain,
( ~ sQ109_spl
| ~ sQ108_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f773,f776]) ).
fof(f1518,plain,
( ~ sQ109_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1517,f204]) ).
fof(f1519,plain,
( ~ sQ109_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f1518]) ).
fof(f1520,plain,
( ~ sQ83_spl
| e3 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f693,f114]) ).
fof(f1521,plain,
( ~ sQ83_spl
| ~ sQ108_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f773,f1520]) ).
fof(f1522,plain,
( ~ sQ83_spl
| ~ sQ108_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1521]) ).
fof(f1523,plain,
( ~ sQ83_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1531,plain,
( ~ sQ57_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f610,f165]) ).
fof(f1535,plain,
( ~ sQ67_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f642,f167]) ).
fof(f1543,plain,
( ~ sQ112_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f206,f786]) ).
fof(f1544,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1543,f199]) ).
fof(f1545,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1544]) ).
fof(f1547,plain,
( ~ sQ57_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f610,f170]) ).
fof(f1548,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f642,f1547]) ).
fof(f1549,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1548]) ).
fof(f1550,plain,
( ~ sQ57_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1563,plain,
( ~ sQ71_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f655,f174]) ).
fof(f1572,plain,
( ~ sQ88_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f709,f179]) ).
fof(f1585,plain,
( ~ sQ110_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f780,f206]) ).
fof(f1586,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1585,f195]) ).
fof(f1587,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1586]) ).
fof(f1590,plain,
( ~ sQ101_spl
| e1 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f751,f186]) ).
fof(f1598,plain,
( ~ sQ44_spl
| op(e1,e2) != e4 ),
inference(backward_demodulation,[status(thm)],[f568,f162]) ).
fof(f1603,plain,
( ~ sQ124_spl
| op(e4,e0) != e4 ),
inference(forward_demodulation,[status(thm)],[f824,f188]) ).
fof(f1609,plain,
( ~ sQ95_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f732,f183]) ).
fof(f1622,plain,
( ~ sQ186_spl
| ~ sQ45_spl
| op(e0,e1) = e4 ),
inference(forward_demodulation,[status(thm)],[f572,f1162]) ).
fof(f1640,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f623,f1353]) ).
fof(f1641,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1647,plain,
( ~ sQ79_spl
| e4 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f680,f178]) ).
fof(f1652,plain,
( ~ sQ26_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1489,f574,f510]) ).
fof(f1668,plain,
( sQ160_spl
| ~ sQ84_spl
| op(e1,e3) != e4 ),
inference(forward_demodulation,[status(thm)],[f696,f1048]) ).
fof(f1674,plain,
( sQ161_spl
| ~ sQ84_spl
| op(e4,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f696,f1052]) ).
fof(f1676,plain,
( ~ sQ124_spl
| op(e4,e1) != e4 ),
inference(forward_demodulation,[status(thm)],[f824,f191]) ).
fof(f1677,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e3 = e4 ),
inference(backward_demodulation,[status(thm)],[f485,f488]) ).
fof(f1678,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f204]) ).
fof(f1679,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1693,plain,
( ~ sQ66_spl
| ~ sQ65_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f636,f639]) ).
fof(f1694,plain,
( ~ sQ66_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1693,f195]) ).
fof(f1695,plain,
( ~ sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1694]) ).
fof(f1714,plain,
( ~ sQ208_spl
| ~ sQ10_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1444,f433,f459,f1262]) ).
fof(f1736,plain,
( ~ sQ199_spl
| ~ sQ29_spl
| op(e4,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f520,f1221]) ).
fof(f1737,plain,
( ~ sQ199_spl
| ~ sQ29_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1736,f763,f519,f1220]) ).
fof(f1739,plain,
( sQ199_spl
| ~ sQ29_spl
| op(e4,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f520,f1222]) ).
fof(f1740,plain,
( sQ199_spl
| ~ sQ29_spl
| ~ sQ142_spl
| op(e1,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f968,f1739]) ).
fof(f1752,plain,
( ~ sQ67_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1535,f593,f641]) ).
fof(f1754,plain,
( ~ sQ83_spl
| ~ sQ80_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f684,f693]) ).
fof(f1755,plain,
( ~ sQ83_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1754,f197]) ).
fof(f1756,plain,
( ~ sQ83_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1755]) ).
fof(f1759,plain,
( ~ sQ95_spl
| ~ sQ85_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f700,f1609]) ).
fof(f1760,plain,
( ~ sQ95_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1759]) ).
fof(f1761,plain,
( ~ sQ95_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1773,plain,
( sQ160_spl
| ~ sQ84_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1668,f567,f695,f1046]) ).
fof(f1774,plain,
( sQ161_spl
| ~ sQ84_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1674,f772,f695,f1050]) ).
fof(f1778,plain,
( ~ sQ57_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1531,f593,f609]) ).
fof(f1782,plain,
( ~ sQ44_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1598,f551,f567]) ).
fof(f1784,plain,
( sQ199_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1740,f571,f967,f519,f1220]) ).
fof(f1786,plain,
( ~ sQ71_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f1563,f638,f654]) ).
fof(f1788,plain,
( ~ sQ104_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f1603]) ).
fof(f1789,plain,
( ~ sQ104_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1788]) ).
fof(f1790,plain,
( ~ sQ146_spl
| ~ sQ104_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1482,f583,f759,f984]) ).
fof(f1792,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1430,f452,f676,f1063]) ).
fof(f1793,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1409,f484,f676,f1063]) ).
fof(f1794,plain,
( ~ sQ10_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1441,f443,f459]) ).
fof(f1797,plain,
( ~ sQ124_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1481,f583,f823]) ).
fof(f1798,plain,
( ~ sQ124_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f1676,f775,f823]) ).
fof(f1799,plain,
( ~ sQ88_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1572,f692,f708]) ).
fof(f1801,plain,
( ~ sQ83_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1386,f452,f692]) ).
fof(f1802,plain,
( ~ sQ186_spl
| ~ sQ45_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f1622,f455,f571,f1161]) ).
fof(f1808,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f447,f450]) ).
fof(f1809,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1808,f199]) ).
fof(f1810,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1809]) ).
fof(f1815,plain,
( ~ sQ126_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f831,f37]) ).
fof(f1826,plain,
( ~ sQ138_spl
| e3 = op(e4,e2) ),
inference(backward_demodulation,[status(thm)],[f207,f951]) ).
fof(f1827,plain,
( ~ sQ168_spl
| op(e3,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f207,f1082]) ).
fof(f1829,plain,
( ~ sQ138_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1826,f788,f950]) ).
fof(f1830,plain,
( ~ sQ168_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1827,f737,f1081]) ).
fof(f1839,plain,
( ~ sQ128_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f837,f41]) ).
fof(f1841,plain,
( ~ sQ128_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f837,f39]) ).
fof(f1845,plain,
( ~ sQ128_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1841,f641,f836]) ).
fof(f1846,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1327,f676,f827]) ).
fof(f1847,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1329,f593,f827]) ).
fof(f1848,plain,
( ~ sQ125_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1330,f465,f827]) ).
fof(f1850,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1332,f446,f827]) ).
fof(f1851,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1333,f427,f827]) ).
fof(f1853,plain,
( ~ sQ125_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1325,f759,f827]) ).
fof(f1854,plain,
( ~ sQ67_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1399,f561,f641]) ).
fof(f1856,plain,
( sQ86_spl
| ~ sQ156_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f1030,f704]) ).
fof(f1863,plain,
( ~ sQ126_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1815,f526,f830]) ).
fof(f1865,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f508,f511]) ).
fof(f1866,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1865,f195]) ).
fof(f1867,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1866]) ).
fof(f1872,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f1388]) ).
fof(f1873,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1872]) ).
fof(f1874,plain,
( sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f207,f662]) ).
fof(f1875,plain,
( sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1874]) ).
fof(f1876,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1875]) ).
fof(f1877,plain,
( sQ86_spl
| ~ sQ156_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f1856,f638,f1029,f702]) ).
fof(f1880,plain,
( ~ sQ99_spl
| op(e0,e4) != e4 ),
inference(backward_demodulation,[status(thm)],[f744,f137]) ).
fof(f1886,plain,
( ~ sQ128_spl
| op(e4,e3) = e4 ),
inference(backward_demodulation,[status(thm)],[f837,f43]) ).
fof(f1887,plain,
( ~ sQ128_spl
| op(e3,e4) = e4 ),
inference(backward_demodulation,[status(thm)],[f837,f42]) ).
fof(f1889,plain,
( ~ sQ128_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1886,f807,f836]) ).
fof(f1898,plain,
( ~ sQ79_spl
| ~ sQ99_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f744,f1647]) ).
fof(f1899,plain,
( ~ sQ79_spl
| ~ sQ99_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1898]) ).
fof(f1900,plain,
( ~ sQ79_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1899]) ).
fof(f1904,plain,
( ~ sQ24_spl
| op(e0,e0) != e4 ),
inference(backward_demodulation,[status(thm)],[f504,f148]) ).
fof(f1905,plain,
( ~ sQ24_spl
| op(e0,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f504,f151]) ).
fof(f1908,plain,
( ~ sQ24_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1905,f455,f503]) ).
fof(f1918,plain,
( ~ sQ161_spl
| ~ sQ160_spl
| op(op(e1,e3),e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f1047,f1051]) ).
fof(f1919,plain,
( ~ sQ161_spl
| ~ sQ160_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1918,f1175,f1046,f1050]) ).
fof(f1922,plain,
( ~ sQ182_spl
| ~ sQ54_spl
| op(e4,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f600,f1144]) ).
fof(f1924,plain,
( ~ sQ182_spl
| ~ sQ54_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1922,f753,f599,f1143]) ).
fof(f1925,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f463,f1342]) ).
fof(f1926,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1927,plain,
( ~ sQ101_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f206,f1590]) ).
fof(f1928,plain,
( ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1927]) ).
fof(f1929,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1928]) ).
fof(f1930,plain,
( ~ sQ12_spl
| sQ181_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f1457]) ).
fof(f1931,plain,
( ~ sQ12_spl
| sQ181_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f1934,plain,
( ~ sQ62_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f626,f116]) ).
fof(f1936,plain,
( ~ sQ62_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1934,f465,f625]) ).
fof(f1937,plain,
( sQ142_spl
| ~ sQ107_spl
| op(e1,e4) != e2 ),
inference(forward_demodulation,[status(thm)],[f770,f969]) ).
fof(f1938,plain,
( ~ sQ109_spl
| ~ sQ107_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f770,f776]) ).
fof(f1939,plain,
( ~ sQ109_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1938,f203]) ).
fof(f1940,plain,
( ~ sQ109_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1954,plain,
( ~ sQ105_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f764,f111]) ).
fof(f1959,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f1393]) ).
fof(f1960,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f1962,plain,
( ~ sQ99_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1880,f503,f743]) ).
fof(f1964,plain,
op(e2,e1) != e3,
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f1965,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f1964]) ).
fof(f1966,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1965]) ).
fof(f1970,plain,
( ~ sQ69_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f648,f170]) ).
fof(f1979,plain,
( ~ sQ93_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f725,f130]) ).
fof(f1982,plain,
( ~ sQ93_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1979,f564,f724]) ).
fof(f1984,plain,
( ~ sQ69_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1970,f615,f647]) ).
fof(f1986,plain,
( sQ164_spl
| ~ sQ78_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1436,f484,f676,f1063]) ).
fof(f1988,plain,
( sQ142_spl
| ~ sQ107_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1937,f577,f769,f967]) ).
fof(f1991,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f1354]) ).
fof(f1992,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1991]) ).
fof(f2074,plain,
op(e2,e0) != e3,
inference(forward_demodulation,[status(thm)],[f207,f168]) ).
fof(f2082,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f2074]) ).
fof(f2083,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f2082]) ).
fof(f2096,plain,
op(e4,e1) != e1,
inference(forward_demodulation,[status(thm)],[f206,f189]) ).
fof(f2101,plain,
( ~ sQ127_spl
| op(e4,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f834,f43]) ).
fof(f2102,plain,
( ~ sQ127_spl
| e1 = e4 ),
inference(forward_demodulation,[status(thm)],[f206,f2101]) ).
fof(f2103,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2102,f201]) ).
fof(f2104,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2103]) ).
fof(f2112,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f767,f2096]) ).
fof(f2113,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f2112]) ).
fof(f2114,plain,
( ~ sQ125_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1328,f484,f827]) ).
fof(f2117,plain,
( ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1904,f439,f503]) ).
fof(f2120,plain,
( ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1425,f427,f491]) ).
fof(f2121,plain,
( ~ sQ20_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f1427,f811,f491]) ).
fof(f2123,plain,
e3 != op(e3,e4),
inference(forward_demodulation,[status(thm)],[f207,f142]) ).
fof(f2124,plain,
op(e2,e3) != e3,
inference(forward_demodulation,[status(thm)],[f207,f174]) ).
fof(f2126,plain,
e1 != op(e4,e4),
inference(forward_demodulation,[status(thm)],[f206,f193]) ).
fof(f2127,plain,
e3 != op(e4,e4),
inference(forward_demodulation,[status(thm)],[f207,f143]) ).
fof(f2128,plain,
e0 = op(e1,op(e4,e2)),
inference(forward_demodulation,[status(thm)],[f206,f205]) ).
fof(f2129,plain,
e0 != op(e1,e2),
inference(backward_demodulation,[status(thm)],[f2131,f159]) ).
fof(f2131,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[status(thm)],[f206,f2128]) ).
fof(f2135,plain,
( ~ sQ142_spl
| op(e4,e0) != op(e1,e4) ),
inference(backward_demodulation,[status(thm)],[f968,f185]) ).
fof(f2136,plain,
e1 != op(e4,e3),
inference(forward_demodulation,[status(thm)],[f206,f192]) ).
fof(f2142,plain,
( sQ105_spl
| ~ sQ142_spl
| op(e1,e4) != e0 ),
inference(forward_demodulation,[status(thm)],[f968,f765]) ).
fof(f2145,plain,
( sQ160_spl
| ~ sQ82_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f690,f1048]) ).
fof(f2151,plain,
( sQ186_spl
| ~ sQ47_spl
| op(e2,e1) != e4 ),
inference(backward_demodulation,[status(thm)],[f578,f1163]) ).
fof(f2153,plain,
( ~ sQ47_spl
| op(e0,e4) != e2 ),
inference(backward_demodulation,[status(thm)],[f578,f135]) ).
fof(f2154,plain,
( ~ sQ47_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f578,f163]) ).
fof(f2156,plain,
( ~ sQ47_spl
| e2 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f578,f140]) ).
fof(f2158,plain,
( sQ186_spl
| ~ sQ47_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2151,f615,f577,f1161]) ).
fof(f2160,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f2123]) ).
fof(f2161,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2162,plain,
( sQ146_spl
| ~ sQ104_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1504,f503,f759,f984]) ).
fof(f2163,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f2127]) ).
fof(f2164,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2167,plain,
( ~ sQ105_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1954,f523,f763]) ).
fof(f2168,plain,
( ~ sQ84_spl
| ~ sQ82_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f690,f696]) ).
fof(f2169,plain,
( ~ sQ84_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2168,f203]) ).
fof(f2170,plain,
( ~ sQ84_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2169]) ).
fof(f2171,plain,
( sQ105_spl
| ~ sQ142_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2142,f571,f967,f763]) ).
fof(f2173,plain,
( sQ160_spl
| ~ sQ82_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2145,f561,f689,f1046]) ).
fof(f2175,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f815,f2126]) ).
fof(f2176,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f2175]) ).
fof(f2177,plain,
( ~ sQ128_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1839,f724,f836]) ).
fof(f2179,plain,
( ~ sQ128_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1887,f743,f836]) ).
fof(f2180,plain,
( ~ sQ31_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f2131,f527]) ).
fof(f2181,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2180,f195]) ).
fof(f2182,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f2181]) ).
fof(f2209,plain,
( ~ sQ146_spl
| ~ sQ104_spl
| e4 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f2215,f187]) ).
fof(f2215,plain,
( ~ sQ146_spl
| ~ sQ104_spl
| e4 = op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f1465,f985]) ).
fof(f2216,plain,
( ~ sQ146_spl
| ~ sQ104_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2209,f807,f759,f984]) ).
fof(f2221,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f645,f2124]) ).
fof(f2222,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f2221]) ).
fof(f2224,plain,
( ~ sQ47_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f2156,f737,f577]) ).
fof(f2225,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f2136]) ).
fof(f2226,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f2225]) ).
fof(f2246,plain,
( ~ sQ125_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f2252,f106]) ).
fof(f2250,plain,
( ~ sQ125_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f2252,f150]) ).
fof(f2251,plain,
( sQ197_spl
| ~ sQ125_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f2252,f1214]) ).
fof(f2252,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f828,f36]) ).
fof(f2254,plain,
( ~ sQ125_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2250,f478,f827]) ).
fof(f2255,plain,
( sQ197_spl
| ~ sQ125_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2251,f510,f827,f1212]) ).
fof(f2266,plain,
e0 != op(e1,e3),
inference(forward_demodulation,[status(thm)],[f2131,f160]) ).
fof(f2267,plain,
e0 != op(e2,e1),
inference(forward_demodulation,[status(thm)],[f2131,f109]) ).
fof(f2284,plain,
( ~ sQ125_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f828,f38]) ).
fof(f2286,plain,
( ~ sQ47_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2153,f497,f577]) ).
fof(f2293,plain,
( ~ sQ14_spl
| ~ sQ125_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f2284,f472]) ).
fof(f2294,plain,
( ~ sQ14_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2293,f203]) ).
fof(f2295,plain,
( ~ sQ14_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2294]) ).
fof(f2310,plain,
( ~ sQ125_spl
| op(e4,e0) = e4 ),
inference(forward_demodulation,[status(thm)],[f828,f43]) ).
fof(f2327,plain,
( ~ sQ125_spl
| op(e0,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f828,f42]) ).
fof(f2330,plain,
( ~ sQ120_spl
| op(e1,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f812,f141]) ).
fof(f2335,plain,
( ~ sQ120_spl
| op(e3,e4) != e0 ),
inference(backward_demodulation,[status(thm)],[f812,f144]) ).
fof(f2337,plain,
( ~ sQ120_spl
| op(e4,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f812,f194]) ).
fof(f2338,plain,
( ~ sQ120_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2330,f571,f811]) ).
fof(f2339,plain,
( ~ sQ120_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f2335,f731,f811]) ).
fof(f2340,plain,
( ~ sQ120_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2337,f795,f811]) ).
fof(f2342,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f2129]) ).
fof(f2343,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2348,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f556,f2266]) ).
fof(f2349,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2355,plain,
( ~ sQ164_spl
| op(e0,e3) != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1064,f175]) ).
fof(f2357,plain,
( ~ sQ164_spl
| ~ sQ18_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f485,f2355]) ).
fof(f2364,plain,
( ~ sQ18_spl
| e3 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f485,f128]) ).
fof(f2372,plain,
( ~ sQ60_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f620,f122]) ).
fof(f2373,plain,
( ~ sQ60_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2372,f699,f619]) ).
fof(f2439,plain,
( ~ sQ44_spl
| e4 != op(e4,e3) ),
inference(backward_demodulation,[status(thm)],[f568,f131]) ).
fof(f2446,plain,
( sQ24_spl
| ~ sQ125_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f2327,f505]) ).
fof(f2447,plain,
( sQ24_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2446]) ).
fof(f2448,plain,
( sQ24_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2447]) ).
fof(f2449,plain,
( ~ sQ56_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f2246]) ).
fof(f2450,plain,
( ~ sQ56_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2449]) ).
fof(f2451,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f2267]) ).
fof(f2452,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f2451]) ).
fof(f2453,plain,
( sQ189_spl
| ~ sQ44_spl
| op(e4,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f568,f1177]) ).
fof(f2467,plain,
( ~ sQ70_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f652,f207]) ).
fof(f2468,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2467,f197]) ).
fof(f2469,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2495,plain,
( ~ sQ125_spl
| ~ sQ21_spl
| e1 = e4 ),
inference(backward_demodulation,[status(thm)],[f495,f2327]) ).
fof(f2496,plain,
( ~ sQ125_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2495,f201]) ).
fof(f2497,plain,
( ~ sQ125_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2496]) ).
fof(f2499,plain,
( ~ sQ160_spl
| ~ sQ44_spl
| e4 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f568,f1047]) ).
fof(f2500,plain,
( ~ sQ160_spl
| ~ sQ44_spl
| ~ sQ82_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f690,f2499]) ).
fof(f2501,plain,
( ~ sQ160_spl
| ~ sQ44_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2500,f203]) ).
fof(f2502,plain,
( ~ sQ160_spl
| ~ sQ44_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2501]) ).
fof(f2505,plain,
( ~ sQ189_spl
| ~ sQ44_spl
| op(e4,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f568,f1176]) ).
fof(f2535,plain,
( ~ sQ125_spl
| ~ sQ102_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f754,f2310]) ).
fof(f2536,plain,
( ~ sQ125_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2535,f203]) ).
fof(f2537,plain,
( ~ sQ125_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2536]) ).
fof(f2538,plain,
( sQ178_spl
| ~ sQ59_spl
| op(e4,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f616,f1128]) ).
fof(f2546,plain,
( sQ136_spl
| ~ sQ117_spl
| op(e2,e4) != e3 ),
inference(forward_demodulation,[status(thm)],[f802,f943]) ).
fof(f2556,plain,
( sQ136_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f2546]) ).
fof(f2557,plain,
( sQ136_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f2556]) ).
fof(f2563,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| e2 = op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f578,f968]) ).
fof(f2564,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| op(e4,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f578,f2135]) ).
fof(f2566,plain,
( ~ sQ164_spl
| ~ sQ18_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f2357,f692,f484,f1063]) ).
fof(f2567,plain,
( ~ sQ160_spl
| ~ sQ44_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2499,f695,f567,f1046]) ).
fof(f2571,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f716,f719]) ).
fof(f2572,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2571,f195]) ).
fof(f2573,plain,
( ~ sQ91_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2572]) ).
fof(f2574,plain,
( ~ sQ18_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f2364,f804,f484]) ).
fof(f2576,plain,
( sQ178_spl
| ~ sQ59_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2538,f769,f615,f1126]) ).
fof(f2581,plain,
( ~ sQ178_spl
| ~ sQ59_spl
| op(e4,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f616,f1127]) ).
fof(f2586,plain,
( ~ sQ134_spl
| ~ sQ96_spl
| e1 = op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f735,f934]) ).
fof(f2587,plain,
( ~ sQ139_spl
| op(e1,e2) = e4 ),
inference(forward_demodulation,[status(thm)],[f206,f955]) ).
fof(f2588,plain,
( ~ sQ139_spl
| ~ sQ38_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f549,f2587]) ).
fof(f2589,plain,
( ~ sQ139_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2588,f204]) ).
fof(f2590,plain,
( ~ sQ139_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2608,plain,
( ~ sQ189_spl
| ~ sQ44_spl
| ~ sQ178_spl
| ~ sQ59_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f2581,f2505]) ).
fof(f2609,plain,
( ~ sQ189_spl
| ~ sQ44_spl
| ~ sQ178_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2608,f202]) ).
fof(f2610,plain,
( ~ sQ189_spl
| ~ sQ44_spl
| ~ sQ178_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2609]) ).
fof(f2615,plain,
( ~ sQ134_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2586,f2136]) ).
fof(f2616,plain,
( ~ sQ134_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2615]) ).
fof(f2625,plain,
( sQ144_spl
| ~ sQ189_spl
| ~ sQ44_spl
| op(e3,e4) != e1 ),
inference(backward_demodulation,[status(thm)],[f2505,f977]) ).
fof(f2628,plain,
( sQ144_spl
| ~ sQ189_spl
| ~ sQ44_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f2625,f734,f567,f1175,f975]) ).
fof(f2633,plain,
( sQ189_spl
| ~ sQ44_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2453,f772,f567,f1175]) ).
fof(f2636,plain,
( ~ sQ150_spl
| ~ sQ96_spl
| op(e1,e4) = e3 ),
inference(forward_demodulation,[status(thm)],[f735,f1003]) ).
fof(f2637,plain,
( ~ sQ150_spl
| ~ sQ96_spl
| ~ sQ47_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f578,f2636]) ).
fof(f2638,plain,
( ~ sQ150_spl
| ~ sQ96_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2637,f202]) ).
fof(f2639,plain,
( ~ sQ150_spl
| ~ sQ96_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2638]) ).
fof(f2641,plain,
( ~ sQ157_spl
| ~ sQ89_spl
| op(e4,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f712,f1034]) ).
fof(f2642,plain,
( ~ sQ157_spl
| ~ sQ89_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f206,f2641]) ).
fof(f2643,plain,
( ~ sQ157_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2642,f200]) ).
fof(f2644,plain,
( ~ sQ157_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2643]) ).
fof(f2646,plain,
( sQ162_spl
| ~ sQ82_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f690,f1056]) ).
fof(f2647,plain,
( sQ162_spl
| ~ sQ82_spl
| ~ sQ66_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f639,f2646]) ).
fof(f2648,plain,
( sQ162_spl
| ~ sQ82_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2647]) ).
fof(f2649,plain,
( sQ162_spl
| ~ sQ82_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f2648]) ).
fof(f2652,plain,
( sQ172_spl
| ~ sQ66_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f639,f1101]) ).
fof(f2653,plain,
( sQ172_spl
| ~ sQ66_spl
| ~ sQ38_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f549,f2652]) ).
fof(f2654,plain,
( sQ172_spl
| ~ sQ66_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2653]) ).
fof(f2655,plain,
( sQ172_spl
| ~ sQ66_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2654]) ).
fof(f2658,plain,
( sQ192_spl
| ~ sQ38_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f549,f1191]) ).
fof(f2659,plain,
( sQ192_spl
| ~ sQ38_spl
| ~ sQ82_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f690,f2658]) ).
fof(f2660,plain,
( sQ192_spl
| ~ sQ38_spl
| ~ sQ82_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2659]) ).
fof(f2661,plain,
( sQ192_spl
| ~ sQ38_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2660]) ).
fof(f2669,plain,
( ~ sQ34_spl
| e0 = e4 ),
inference(forward_demodulation,[status(thm)],[f2131,f536]) ).
fof(f2670,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2669,f198]) ).
fof(f2671,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f2670]) ).
fof(f2672,plain,
( sQ30_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f2131,f525]) ).
fof(f2673,plain,
( sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2672]) ).
fof(f2674,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f2673]) ).
fof(f2675,plain,
( ~ sQ44_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2439,f807,f567]) ).
fof(f2676,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f2563,f769,f577,f967]) ).
fof(f2677,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2564,f753,f577,f967]) ).
fof(f2679,plain,
( ~ sQ47_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2154,f545,f577]) ).
fof(f2683,plain,
$false,
inference(sat_refutation,[status(thm)],[f442,f506,f554,f570,f586,f618,f634,f714,f746,f778,f794,f810,f826,f842,f845,f852,f858,f860,f862,f864,f872,f876,f882,f884,f886,f887,f894,f895,f896,f897,f898,f900,f901,f903,f906,f907,f909,f910,f912,f913,f915,f924,f936,f940,f944,f957,f962,f970,f974,f978,f979,f987,f996,f1001,f1005,f1009,f1010,f1011,f1018,f1024,f1032,f1036,f1040,f1041,f1049,f1057,f1058,f1066,f1075,f1084,f1089,f1094,f1098,f1102,f1103,f1104,f1111,f1117,f1125,f1129,f1133,f1134,f1142,f1146,f1150,f1151,f1152,f1156,f1160,f1164,f1165,f1166,f1170,f1178,f1179,f1184,f1188,f1192,f1193,f1194,f1201,f1207,f1215,f1224,f1229,f1238,f1243,f1252,f1257,f1261,f1265,f1266,f1267,f1271,f1285,f1293,f1295,f1297,f1299,f1301,f1341,f1348,f1396,f1420,f1434,f1449,f1454,f1461,f1462,f1463,f1471,f1486,f1494,f1498,f1512,f1519,f1523,f1545,f1550,f1587,f1641,f1652,f1679,f1695,f1714,f1737,f1752,f1756,f1761,f1773,f1774,f1778,f1782,f1784,f1786,f1789,f1790,f1792,f1793,f1794,f1797,f1798,f1799,f1801,f1802,f1810,f1829,f1830,f1845,f1846,f1847,f1848,f1850,f1851,f1853,f1854,f1863,f1867,f1873,f1876,f1877,f1889,f1900,f1908,f1919,f1924,f1926,f1929,f1931,f1936,f1940,f1960,f1962,f1966,f1982,f1984,f1986,f1988,f1992,f2083,f2104,f2113,f2114,f2117,f2120,f2121,f2158,f2161,f2162,f2164,f2167,f2170,f2171,f2173,f2176,f2177,f2179,f2182,f2216,f2222,f2224,f2226,f2254,f2255,f2286,f2295,f2338,f2339,f2340,f2343,f2349,f2373,f2448,f2450,f2452,f2469,f2497,f2502,f2537,f2557,f2566,f2567,f2573,f2574,f2576,f2590,f2610,f2616,f2628,f2633,f2639,f2644,f2649,f2655,f2661,f2671,f2674,f2675,f2676,f2677,f2679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG068+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.59 % Computer : n010.cluster.edu
% 0.12/5.59 % Model : x86_64 x86_64
% 0.12/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.59 % Memory : 8046.5625MB
% 0.12/5.59 % OS : Linux 6.8.0-71-generic
% 0.12/5.59 % CPULimit : 300
% 0.12/5.59 % WCLimit : 300
% 0.12/5.59 % DateTime : Mon Sep 21 12:55:32 UTC 2026
% 0.12/5.59 % CPUTime :
% 0.15/5.60 % Drodi V4.1.1
% 0.15/5.66 % Refutation found
% 0.15/5.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.69 % Elapsed time: 0.094724 seconds
% 0.15/5.69 % CPU time: 0.458897 seconds
% 0.15/5.69 % Total memory used: 124.633 MB
% 0.15/5.69 % Net memory used: 124.322 MB
%------------------------------------------------------------------------------